CN102706658B - Defective cable and support angular displacement progressive identification method based on mixed monitoring of temperature change - Google Patents

Defective cable and support angular displacement progressive identification method based on mixed monitoring of temperature change Download PDF

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CN102706658B
CN102706658B CN201210173397.5A CN201210173397A CN102706658B CN 102706658 B CN102706658 B CN 102706658B CN 201210173397 A CN201210173397 A CN 201210173397A CN 102706658 B CN102706658 B CN 102706658B
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cable
temperature
data
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initial
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CN102706658A (en
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韩玉林
王芳
韩佳邑
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Southeast University
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Southeast University
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Abstract

The invention discloses a defective cable and support angular displacement progressive identification method based on mixed monitoring of temperature change. The method comprises the following steps of: on the basis of mixed monitoring, judging whether a mechanical calculation reference model of a cable structure is required to be updated by monitoring the temperature of the cable structure, environment temperature and the health state of an evaluated object, and thus obtaining the mechanical calculation reference model of the cable structure, into which the temperature of the cable structure and the environment temperature are recorded; and on the basis of the mechanical calculation reference model, acquiring a unit damage monitored amount unit change matrix by calculation. A non-inferior solution of the current nominal damage vector of the evaluated object is obtained by calculation according to an approximately linear relationship between the current value vector of monitored amount, the current initial value vector of the monitored amount, the unit damage monitored amount unit change matrix, a unit damage or unit angular displacement vector and the to-be-obtained current nominal damage vector of the evaluated object, so a damaged cable, a loosened cable and support angular displacement can be quickly identified when the temperature change occurs.

Description

The problem cable of temperature variation hybrid monitoring and support angular displacement progressive identification method
Technical field
The structures such as cable-stayed bridge, suspension bridge, truss-frame structure have a common ground, be exactly that they have many parts bearing tensile load, as suspension cable, main push-towing rope, hoist cable, pull bar etc., the common ground of this class formation is with rope, cable or only bears the rod member of tensile load for support unit, and such structure representation is " Cable Structure " by this method for simplicity.Along with the change of environment temperature, the temperature of Cable Structure also can change, when Cable Structure temperature changes, there being angular displacement of support, (such as bearing is around the rotation of coordinate axis X, Y, Z, in fact be exactly the angular displacement of bearing around coordinate axis X, Y, Z) time, this method identifies damaged cable, slack line (just referring to the impaired or lax rod member only bearing tensile load to truss-frame structure) and angular displacement of support in the supporting system of Cable Structure based on hybrid monitoring, belong to engineering structure health monitoring field.The supporting system of Cable Structure refers to all ropeway carrying-ropes and all rod members only bearing tensile load play supporting role, for simplicity, whole support units of this class formation are collectively referred to as " cable system " by this patent, but in fact cable system not only refers to support cable, also comprise the rod member only bearing tensile load, in this method, censure all ropeway carrying-ropes and all rod members only bearing tensile load play supporting role with " support cable " this noun.Damaged cable and slack line are called the support cable of unsoundness problem, referred to as problem cable by this method.
Background technology
Cable Structure (particularly large-scale Cable Structure, such as large-scale cable-stayed bridge, suspension bridge) its support cable there will be damage, the structural health problem such as lax after long service, its bearing there will be the structural health problems such as angular displacement, these structural health problems all will cause the change of structural internal force, harmful effect is caused to the safety of structure, the inefficacy of structure will be caused time serious, therefore identify accurately and timely and need slack line, damaged cable and angular displacement of support to be very important.
The health status of support cable system changes and after bearing generation angular displacement, the change of the measurable parameter of structure can be caused, such as can cause the change of Suo Li, distortion or the strain of Cable Structure can be affected, shape or the volume coordinate of Cable Structure can be affected, the change of the angle coordinate of any imaginary line of the every bit of the Cable Structure (change of the angle coordinate of the straight line of any this point of mistake in the section of such as body structure surface any point can be caused, or the change of the angle coordinate of the normal of body structure surface any point), these all changes all contain the health status information of cable system, in fact the change of these measurable parameters contains the health status information of cable system, contain angular displacement of support information, that is the measurable parameter of structure can be utilized to identify angular displacement of support and damaged cable, therefore the health status of structure can be judged by the hybrid monitoring of the change of the characteristic parameter to these dissimilar structures, all monitored structure characteristic parameters are referred to as " monitored amount " by this method, because now monitored amount is made up of the dissimilar measurable parameter mixing of structure, this method claims this to be hybrid monitoring, that is hybrid monitoring can be utilized to identify damaged cable and angular displacement of support.Monitored amount is except being subject to the impact of Cable Structure health status; also can be subject to the impact of Cable Structure temperature variation (usually can occur); under the condition that Cable Structure temperature changes; if can based on the identification of the support cable realized the monitoring of monitored amount unsoundness problem and angular displacement of support; to the safety of Cable Structure, there is important value, also do not have a kind of disclosed, effective health monitoring systems and method to solve this problem at present.
Summary of the invention
Technical matters: the object of this method is when Cable Structure has temperature variation, disclose a kind of based on hybrid monitoring, the health monitor method that can identify damaged cable in Cable Structure, slack line and angular displacement of support rationally and effectively.
According to the reason that the Suo Li of support cable changes, the Suo Li of support cable change can be divided into four kinds of situations: one is that support cable receives damage, and localized cracks and corrosion etc. have appearred in such as support cable, two are support cable and not damaged, but Suo Li also there occurs change, occur that the one of the main reasons of this change is that Suo Changdu under support cable free state (now rope tensility also claims Suo Li to be 0) (is called drift, this method specially refers to that support cable two supports the drift of that section of rope between end points) there occurs change, one of object of this method will identify the support cable that drift there occurs change exactly, and identify the knots modification of their drift, this knots modification is that the cable force adjustment of this rope provides direct basis, the reason that support cable drift changes is not single, conveniently, the support cable that drift changes by this method is referred to as slack line, three is Suo Li changes that Cable Structure bearing generation angular displacement causes, four is Suo Li changes that Cable Structure temperature variation causes.
Technical scheme: this method is made up of three parts.Respectively: one, " the temperature survey calculating method of the Cable Structure of this method "; Two, the Cable Structure health state evaluation method of the method for knowledge base needed for cable structure health monitoring system and parameter, knowledge based storehouse (containing parameter) and the monitored amount of actual measurement is set up; Three, the software and hardware part of health monitoring systems.
If the quantity sum of the angular displacement of support component of the quantity of the support cable of Cable Structure and Cable Structure is N.For sake of convenience, this method unitedly calls evaluated support cable and angular displacement of support to be " evaluation object ", total N number of evaluation object.To evaluation object serial number, this numbering will be used for generating vector sum matrix in subsequent step.
Monitored multiclass parameter can comprise: Suo Li, strain, angle and volume coordinate, be described below respectively:
If total M in cable system 1root support cable, the monitored rope force data of structure specifies Q rope force data of support cable to describe by Q in structure, and the change of structure Suo Li is exactly all Q change of specifying the Suo Li of support cable.Each total Q cable force measurement value or calculated value carry out the rope force information of characterisation of structures.Q is one and is not less than 0, is not more than M 1integer.
The monitored strain data of structure can by K in structure 2the L of individual specified point and each specified point 2the strain of individual assigned direction describes, and the change of structural strain data is exactly K 2the change of all tested strain of individual specified point.Each total M 2(M 2=K 2× L 2) individual strain measurement value or calculated value carry out characterisation of structures strain.M 2it is an integer being not less than 0.
The monitored angle-data of structure is by K in structure 3individual specified point, cross the L of each specified point 3the H of individual appointment straight line, each appointment straight line 3individual angle coordinate component describes, and the change of structural point is exactly the change of all specified points, all appointment straight line, all angle coordinate component of specifying.Each total M 3(M 3=K 3× L 3× H 3) individual angle coordinate component measurement value or calculated value carry out the angle information of characterisation of structures.M 3it is an integer being not less than 0.
The monitored shape data of structure is by K in structure 4the L of individual specified point and each specified point 4the volume coordinate of individual assigned direction describes, and the change of planform data is exactly K 4the change of all coordinate components of individual specified point.Each total M 4(M 4=K 4× L 4) individual coordinates measurements or calculated value carry out characterisation of structures shape.M 4it is an integer being not less than 0.
Comprehensive above-mentioned monitored amount, total has M (M=Q+M 2+ M 3+ M 4) individual monitored amount, definition parameter K(K=Q+K 2+ K 3+ K 4), K and M must not be less than N.
Comprehensive above-mentioned monitored amount, whole Cable Structure has M monitored amount, and M must not be less than the quantity N of evaluation object.
For simplicity, in the method by " monitored all parameters of Cable Structure " referred to as " monitored amount ".To M monitored amount serial number, this numbering will be used for generating vector sum matrix in subsequent step.This method represents this numbering, j=1,2,3 with variable j ..., M.
The Part I of this method: " the temperature survey calculating method of the Cable Structure of this method ".
First determine " the temperature survey calculating method of the Cable Structure of this method ".Temperature due to Cable Structure may be change, the temperature of the different parts of such as Cable Structure changes along with the change of intensity of sunshine, along with the change of environment temperature changes, the surface of Cable Structure may be time dependent with inner temperature sometimes, the surface of Cable Structure may be different from inner temperature, the surface of Cable Structure is time dependent with inner temperature difference, this just makes the Mechanics Calculation of Cable Structure when considering temperature conditions and monitoring quite complicated, for simplifying problem, reduce calculated amount and reduce and measure cost, especially in order to improve computational accuracy, this method proposes " the temperature survey calculating method of the Cable Structure of this method ", specific as follows:
The first step, inquiry or actual measurement obtain the temperature variant thermal conduction study parameter of environment residing for Cable Structure composition material and Cable Structure, utilize the geometry measured data of the design drawing of Cable Structure, as-constructed drawing and Cable Structure, utilize these data and parameter to set up the Thermodynamic calculation model of Cable Structure.Inquiry Cable Structure location is no less than the meteorological data in recent years of 2 years, the statistics cloudy quantity obtained is during this period of time designated as T cloudy day, statistics obtains 0 highest temperature after sunrise moment next day between 30 minutes and the lowest temperature at each cloudy day in T cloudy day, the sunrise moment refers to the sunrise moment on the meteorology that base area revolutions and revolution rule are determined, data can be inquired about or calculated sunrise moment of each required day by conventional meteorology, 0 highest temperature after sunrise moment next day between 30 minutes at each cloudy day deducts the maximum temperature difference that the lowest temperature is called the daily temperature at this cloudy day, there is T cloudy day, just there is the maximum temperature difference of the daily temperature at T cloudy day, the maximal value of getting in the maximum temperature difference of the daily temperature at T cloudy day is reference temperature difference per day, Δ T is designated as with reference to temperature difference per day r.Be no less than between inquiry Cable Structure location and Altitude Region, place temperature that the meteorological data in recent years of 2 years or actual measurement obtain environment residing for Cable Structure in time with delta data and the Changing Pattern of sea level elevation, calculate to be no less than 2 years between Cable Structure location and Altitude Region, place Cable Structure in recent years residing for the temperature of environment about the maximum rate of change Δ T of sea level elevation h, get Δ T for convenience of describing hunit be DEG C/m.The surface of Cable Structure is got " R Cable Structure surface point ", the temperature of this R Cable Structure surface point will be obtained below by actual measurement, claiming to survey the temperature data obtained is " R Cable Structure surface temperature measured data ", if utilize the Thermodynamic calculation model of Cable Structure, obtained the temperature of this R Cable Structure surface point by Calculation of Heat Transfer, just claim the temperature data that calculates for " R Cable Structure land surface pyrometer count certificate ".When the surface of Cable Structure is got " R Cable Structure surface point ", the quantity of " R Cable Structure surface point " describes later with the condition that must meet that distributes.From the minimum height above sea level residing for Cable Structure to most High aititude, in Cable Structure, uniform choosing is no less than three different sea level elevations, at the sea level elevation place that each is chosen, two points are at least chosen at the intersection place on surface level and Cable Structure surface, from the outer normal of selected point straw line body structure surface, all outer normal directions chosen are called " measuring the direction of Cable Structure along the Temperature Distribution of wall thickness ", measure Cable Structure crossing with " intersection on surface level and Cable Structure surface " along the direction of the Temperature Distribution of wall thickness, in in the shade the outer normal direction of the measurement Cable Structure chosen along the sunny slope outer normal direction and Cable Structure that must comprise Cable Structure in the direction of the Temperature Distribution of wall thickness, three points are no less than along each measurement Cable Structure along direction uniform choosing in Cable Structure of the Temperature Distribution of wall thickness, especially, along each, Cable Structure is measured for support cable and only gets a point along the direction of the Temperature Distribution of wall thickness, namely the temperature of the surface point of support cable is only measured, measure all temperature be selected a little, the temperature recorded is called " Cable Structure is along the temperature profile data of thickness ", wherein along crossing with same " intersection on surface level and Cable Structure surface ", " measure the direction of Cable Structure along the Temperature Distribution of wall thickness " to measure " Cable Structure is along the temperature profile data of thickness " that obtain, be called in the method " identical sea level elevation Cable Structure is along the temperature profile data of thickness ", if have chosen the individual different sea level elevation of H, at each sea level elevation place, have chosen B and measure the direction of Cable Structure along the Temperature Distribution of wall thickness, in Cable Structure, E point is have chosen along each measurement Cable Structure along the direction of the Temperature Distribution of wall thickness, wherein H and E is not less than 3, B is not less than 2, especially, 1 is equaled for support cable E, what meter Cable Structure " measured the point of Cable Structure along the temperature profile data of thickness " adds up to HBE, the temperature of this HBE " measuring the point of Cable Structure along the temperature profile data of thickness " will be obtained below by actual measurement, claiming to survey the temperature data obtained is " HBE Cable Structure is along thickness temperature measured data ", if utilize the Thermodynamic calculation model of Cable Structure, obtain this HBE by Calculation of Heat Transfer and measure the temperature of Cable Structure along the point of the temperature profile data of thickness, the temperature data calculated just is claimed to be " HBE Cable Structure calculates data along thickness temperature ", the number temperature profile data at sea level elevation place " identical sea level elevation Cable Structure is along the temperature profile data of thickness " will chosen at each in this method ".Measure temperature in Cable Structure location according to meteorology to require to choose a position, obtain meeting the temperature that meteorology measures the Cable Structure place environment of temperature requirement by the actual measurement of this position, in the on-site spaciousness of Cable Structure, unobstructed place chooses a position, this position should each of the whole year day can obtain this ground the most sufficient sunshine of this day getable, at the flat board of this position of sound production one piece of carbon steel material, be called reference plate, the one side of this reference plate on the sunny side, be called sunny slope, the sunny slope of reference plate is coarse with dark color, the sunny slope of reference plate should each of the whole year day can obtain one flat plate on this ground the most sufficient sunshine of this day getable, the non-sunny slope of reference plate is covered with insulation material, Real-Time Monitoring is obtained the temperature of the sunny slope of reference plate.Must not be greater than 30 minutes to the time interval between any twice measurement of same amount Real-Time Monitoring in this method, the moment of survey record data is called the physical record data moment.
Second step, Real-Time Monitoring obtains R Cable Structure surface temperature measured data of above-mentioned R Cable Structure surface point, Real-Time Monitoring obtains the temperature profile data of previously defined Cable Structure along thickness simultaneously, and Real-Time Monitoring obtains meeting the temperature record that meteorology measures the Cable Structure place environment of temperature requirement simultaneously, the temperature measured data sequence of the Cable Structure place environment after sunrise moment next day between 30 minutes is obtained being carved at sunrise the same day by Real-Time Monitoring, the temperature measured data sequence of Cable Structure place environment is arranged according to time order and function order by the temperature measured data of the Cable Structure place environment after being carved into the sunrise moment next day same day at sunrise between 30 minutes, find the maximum temperature in the temperature measured data sequence of Cable Structure place environment and minimum temperature, the maximum temperature difference be carved at sunrise on same day that minimum temperature obtains Cable Structure place environment after sunrise moment next day between 30 minutes is deducted by the maximum temperature in the temperature measured data sequence of Cable Structure place environment, be designated as Δ T emax, calculated the rate of change of temperature about the time of Cable Structure place environment by Conventional mathematical by the temperature measured data sequence of Cable Structure place environment, this rate of change is also along with time variations, the measured data sequence of the temperature of the sunny slope of the reference plate after sunrise moment next day between 30 minutes is obtained being carved at sunrise the same day by Real-Time Monitoring, the measured data sequence of the temperature of the sunny slope of reference plate is arranged according to time order and function order by the measured data of the temperature of the sunny slope of the reference plate after being carved into the sunrise moment next day same day at sunrise between 30 minutes, find the maximum temperature in the measured data sequence of the temperature of the sunny slope of reference plate and minimum temperature, the maximum temperature difference be carved at sunrise on same day that minimum temperature obtains the temperature of the sunny slope of reference plate after sunrise moment next day between 30 minutes is deducted by the maximum temperature in the measured data sequence of the temperature of the sunny slope of reference plate, be designated as Δ T pmax, the Cable Structure surface temperature measured data sequence of all R Cable Structure surface points after sunrise moment next day between 30 minutes is obtained being carved at sunrise the same day by Real-Time Monitoring, R Cable Structure surface point is had just to have R Cable Structure surface temperature measured data sequence, each Cable Structure surface temperature measured data sequence is arranged according to time order and function order by the Cable Structure surface temperature measured data after being carved into the sunrise moment next day same day of a Cable Structure surface point at sunrise between 30 minutes, find the maximum temperature in each Cable Structure surface temperature measured data sequence and minimum temperature, the maximum temperature difference be carved at sunrise on same day that minimum temperature obtains the temperature of each Cable Structure surface point after sunrise moment next day between 30 minutes is deducted by the maximum temperature in each Cable Structure surface temperature measured data sequence, there is R Cable Structure surface point just to have to be carved at sunrise R the same day maximum temperature difference numerical value between 30 minutes after sunrise moment next day, maximal value is wherein designated as Δ T smax, calculated the rate of change of temperature about the time of each Cable Structure surface point by Conventional mathematical by each Cable Structure surface temperature measured data sequence, the temperature of each Cable Structure surface point about the rate of change of time also along with time variations.Obtain being carved at sunrise the same day after sunrise moment next day between 30 minutes by Real-Time Monitoring, at synchronization, after HBE " Cable Structure is along the temperature profile data of thickness ", calculate the difference amounting to maximum temperature in BE " identical sea level elevation Cable Structure is along the temperature profile data of thickness " and minimum temperature at the sea level elevation place that each is chosen, the absolute value of this difference is called " identical sea level elevation place Cable Structure thickness direction maximum temperature difference ", have chosen H different sea level elevation just to have H " identical sea level elevation place Cable Structure thickness direction maximum temperature difference ", the maximal value in this H " identical sea level elevation place Cable Structure thickness direction maximum temperature difference " is claimed to be " Cable Structure thickness direction maximum temperature difference ", be designated as Δ T tmax.
3rd step, survey calculation obtains Cable Structure steady temperature data, first, determine the moment obtaining Cable Structure steady temperature data, the condition relevant to the moment determining to obtain Cable Structure steady temperature data has six, Section 1 condition is moment of obtaining Cable Structure steady temperature data between after being carved into sunrise moment next day at sunset between 30 minutes on same day, the sunset moment refers to the sunset moment on base area revolutions and the meteorology determined of revolution rule, can inquire about data or be calculated sunset moment of each required day by conventional meteorology, the a condition of Section 2 condition be after being carved into sunrise moment next day at sunrise between 30 minutes on same day during this period of time in, reference plate maximum temperature difference Δ T pmaxwith Cable Structure surface maximum temperature difference Δ T amaxall be not more than 5 degrees Celsius, the b condition of Section 2 condition be after being carved into sunrise moment next day at sunrise between 30 minutes on same day during this period of time in, the environment maximum error Δ T that survey calculation obtains above emaxbe not more than with reference to temperature difference per day Δ T r, and reference plate maximum temperature difference Δ T pmaxΔ T is not more than after deducting 2 degrees Celsius emax, and Cable Structure surface maximum temperature difference Δ T smaxbe not more than Δ T pmax, one of only need meet in a condition of Section 2 and b condition is just called and meets Section 2 condition, Section 3 condition is when obtaining Cable Structure steady temperature data, and the temperature of Cable Structure place environment is not more than 0.1 degree Celsius per hour about the absolute value of the rate of change of time, Section 4 condition is when obtaining Cable Structure steady temperature data, and the temperature of each the Cable Structure surface point in R Cable Structure surface point is not more than 0.1 degree Celsius per hour about the absolute value of the rate of change of time, Section 5 condition is when obtaining Cable Structure steady temperature data, and the Cable Structure surface temperature measured data of each the Cable Structure surface point in R Cable Structure surface point is be carved into the minimal value after sunrise moment next day between 30 minutes the same day at sunrise, Section 6 condition is when obtaining Cable Structure steady temperature data, " Cable Structure thickness direction maximum temperature difference " Δ T tmaxbe not more than 1 degree Celsius, this method utilizes above-mentioned six conditions, any one in following three kinds of moment is called " the mathematics moment obtaining Cable Structure steady temperature data ", the first moment meets the moment of the Section 1 in above-mentioned " condition relevant to the moment determining to obtain Cable Structure steady temperature data " to Section 5 condition, the second moment is moment of the Section 6 condition only met in above-mentioned " condition relevant to determining to obtain moment of Cable Structure steady temperature data ", simultaneously the third moment meets the moment of the Section 1 in above-mentioned " condition relevant to the moment determining to obtain Cable Structure steady temperature data " to Section 6 condition, when the mathematics moment obtaining Cable Structure steady temperature data is exactly one in this method in the physical record data moment, the moment obtaining Cable Structure steady temperature data is exactly the mathematics moment obtaining Cable Structure steady temperature data, if the mathematics moment obtaining Cable Structure steady temperature data is not any one moment in this method in the physical record data moment, then getting this method closest to moment of those physical record data in the mathematics moment obtaining Cable Structure steady temperature data is the moment obtaining Cable Structure steady temperature data, the amount being used in the moment survey record obtaining Cable Structure steady temperature data is carried out Cable Structure relevant health monitoring analysis by this method, this method is similar to thinks that the Cable Structure temperature field in the moment obtaining Cable Structure steady temperature data is in stable state, and namely the Cable Structure temperature in this moment does not change in time, and this moment is exactly " obtaining the moment of Cable Structure steady temperature data " of this method, then, according to Cable Structure heat transfer characteristic, utilize " R the Cable Structure surface temperature measured data " and " HBE Cable Structure is along thickness temperature measured data " in the moment obtaining Cable Structure steady temperature data, utilize the Thermodynamic calculation model of Cable Structure, the Temperature Distribution of the Cable Structure in the moment obtaining Cable Structure steady temperature data is calculated by conventional heat transfer, now the temperature field of Cable Structure calculates by stable state, the temperature profile data of the Cable Structure in the moment in acquisition Cable Structure steady temperature data calculated comprises the accounting temperature of R Cable Structure surface point in Cable Structure, the accounting temperature of R Cable Structure surface point is called that R Cable Structure steady-state surface temperature calculates data, also comprise the accounting temperature of Cable Structure selected HBE " measuring the point of Cable Structure along the temperature profile data of thickness " above, the accounting temperature of HBE " measuring the point of Cable Structure along the temperature profile data of thickness " is called " HBE Cable Structure calculates data along thickness temperature ", when R Cable Structure surface temperature measured data and R Cable Structure steady-state surface temperature calculate data correspondent equal, and when " HBE Cable Structure is along thickness temperature measured data " and " HBE Cable Structure calculates data along thickness temperature " correspondent equal, the temperature profile data of the Cable Structure in the moment in acquisition Cable Structure steady temperature data calculated is called " Cable Structure steady temperature data " in the method, " R Cable Structure surface temperature measured data " is now called " R Cable Structure steady-state surface temperature measured data ", " HBE Cable Structure is along thickness temperature measured data " is called " HBE Cable Structure is along thickness steady temperature measured data ", when the surface of Cable Structure is got " R Cable Structure surface point ", the quantity of " R Cable Structure surface point " must meet three conditions with distribution, first condition is when Cable Structure temperature field is in stable state, when the temperature of Cable Structure any point be on the surface by " R Cable Structure surface point " in obtain with the observed temperature linear interpolation of the Cable Structure point that this arbitrfary point is adjacent on the surface time, the error of the Cable Structure that linear interpolation the obtains temperature of this arbitrfary point and the Cable Structure actual temperature of this arbitrfary point on the surface is on the surface not more than 5%, Cable Structure surface comprises support cable surface, second condition is not less than 4 in the quantity of the point of same sea level elevation in " R Cable Structure surface point ", and uniform along Cable Structure surface at the point of same sea level elevation in " R Cable Structure surface point ", " R Cable Structure surface point " is not more than 0.2 DEG C divided by Δ T along the maximal value Δ h in the absolute value of all differences of the sea level elevation of adjacent Cable Structure surface point between two of sea level elevation hthe numerical value obtained, gets Δ T for convenience of describing hunit be DEG C/m, be m for convenience of describing the unit getting Δ h, " R Cable Structure surface point " along the definition of the adjacent between two Cable Structure surface point of sea level elevation refer to only consider sea level elevation time, in " R Cable Structure surface point ", there is not a Cable Structure surface point, the sea level elevation numerical value of this Cable Structure surface point is between the sea level elevation numerical value of adjacent Cable Structure surface point between two, 3rd condition is inquiry or obtains the rule at sunshine between Cable Structure location and Altitude Region, place by meteorology conventionally calculation, again according to geometric properties and the bearing data of Cable Structure, Cable Structure finds the annual position by sunshine-duration those surface points the most sufficient, in " R Cable Structure surface point ", has at least a Cable Structure surface point to be annual by a point in sunshine-duration the most fully those surface points in Cable Structure.
The Part II of this method: the Cable Structure health state evaluation method setting up the method for knowledge base needed for cable structure health monitoring system and parameter, knowledge based storehouse (containing parameter) and the monitored amount of actual measurement.Can carry out successively as follows, to obtain the health state evaluation of evaluation object more accurately.
The first step: set up initial mechanical Calculation Basis model A o.
Set up initial mechanical Calculation Basis model A owhen Cable Structure is completed, or before setting up cable structure health monitoring system, obtain " Cable Structure steady temperature data " according to " the temperature survey calculating method of the Cable Structure of this method " survey calculation (to measure by ordinary temperature measuring method, thermal resistance is such as used to measure), " Cable Structure steady temperature data " now use vector T orepresent, be called initial Cable Structure steady temperature data vector T o.T is obtained in actual measurement owhile, namely at the initial Cable Structure steady temperature data vector T of acquisition othe synchronization in moment, use the direct survey calculation of conventional method to obtain the initial number of all monitored amount of Cable Structure.Initial Cable Structure steady temperature data vector T is obtained at Actual measurement owhile, use conventional method (consult reference materials or survey) to obtain temperature variant physical parameter (such as thermal expansivity) and the mechanical property parameters (such as elastic modulus, Poisson ratio) of the various materials that Cable Structure uses; Initial Cable Structure steady temperature data vector T is obtained at Actual measurement owhile, namely at the initial Cable Structure steady temperature data vector T of acquisition othe synchronization in moment, use conventional method Actual measurement to obtain the Actual measurement data of Cable Structure.The Actual measurement data of Cable Structure comprise the measured data such as data, Cable Structure bearing initial angle displacement measurement data, the initial geometric data of Cable Structure, rope force data, draw-bar pull data, Cable Structure support coordinate data, Cable Structure modal data, structural strain data, structural point measurement data, structure space measurement of coordinates data that the Non-destructive Testing Data of support cable etc. can express the health status of rope.The initial geometric data of Cable Structure can be the spatial data that the spatial data of the end points of all ropes adds a series of point in structure, and object is the geometric properties according to these coordinate data determination Cable Structure.Cable Structure bearing initial angle displacement measurement data refer to setting up initial mechanical Calculation Basis model A otime, the angular displacement that Cable Structure bearing occurs relative to the bearing under Cable Structure design point.For cable-stayed bridge, initial geometric data can be the spatial data that the spatial data of the end points of all ropes adds some points on bridge two ends, so-called bridge type data that Here it is.Utilize the Non-destructive Testing Data etc. of support cable can express the data of the health status of support cable and Cable Structure bearing initial angle displacement measurement data set up evaluation object initial damage vector d o(as the formula (1)), d is used orepresent that Cable Structure is (with initial mechanical Calculation Basis model A orepresent) the initial health of evaluation object.If there is no the Non-destructive Testing Data of support cable and other are when can express the data of the health status of support cable, or can think structure original state be not damaged without relaxed state time, vectorial d oin each element numerical value relevant to support cable get 0, if when there is no Cable Structure bearing initial angle displacement measurement data or can think that the displacement of Cable Structure bearing initial angle is 0, vectorial d oin each element numerical value relevant to Cable Structure angular displacement of support get 0.The temperature variant physical and mechanical properties parameter of the various materials utilizing the measured data of the design drawing of Cable Structure, as-constructed drawing and initial Cable Structure, the Non-destructive Testing Data of support cable, Cable Structure bearing initial angle displacement measurement data, Cable Structure to use and initial Cable Structure steady temperature data vector T o, utilize mechanics method (such as finite element method) to count " Cable Structure steady temperature data " and set up initial mechanical Calculation Basis model A o.
d o=[d o1d o2···d ok···d oN] T(1)
D in formula (1) ok(k=1,2,3 ...., N) represent initial mechanical Calculation Basis model A oin the original state of a kth evaluation object, if this evaluation object is a rope (or pull bar) in cable system, so d okrepresent its initial damage, d okrepresent not damaged when being 0, when being 100%, represent that this rope thoroughly loses load-bearing capacity, represent the load-bearing capacity losing corresponding proportion time between 0 and 100%, if this evaluation object is angular displacement component, so a d of a bearing okrepresent its initial displacement numerical value, T represents the transposition (same afterwards) of vector.
T is obtained in actual measurement owhile, namely at the synchronization in the moment of acquisition Cable Structure steady temperature data, the initial value of all monitored amount of the Cable Structure using the direct survey calculation of conventional method to obtain, forms monitored amount initial value vector C o(see formula (2)).Require at acquisition A owhile obtain C o, monitored amount initial value vector C orepresent and correspond to A othe concrete numerical value of " monitored amount ".Because of subject to the foregoing, the Calculation Basis model based on Cable Structure calculates the monitored amount of gained reliably close to the measured data of initial monitored amount, in describing below, will represent this calculated value and measured value with prosign.
C o=[C o1C o2···C oj···C oM] T(2)
C in formula (2) oj(j=1,2,3 ...., M) be the original bulk of jth monitored amount in Cable Structure, this component corresponds to a specific jth monitored amount according to coding rule.Vector C obe to be arranged according to a definite sequence by the monitored amount of M to form, putting in order to this there is no particular/special requirement, only requires all associated vector also array data in this order below.
No matter which kind of method to obtain initial mechanical Calculation Basis model A by o, count " Cable Structure steady temperature data " (i.e. initial Cable Structure steady temperature data vector T o), based on A othe Cable Structure that calculates calculates data must closely its measured data, and error generally must not be greater than 5%.Like this can utility A othe Suo Li calculated under the analog case of gained calculates data, strain calculation data, Cable Structure shapometer count certificate and displacement meter counts certificate, Cable Structure angle-data, Cable Structure spatial data etc., measured data when reliably truly occurring close to institute's analog case.Model A othe health status evaluation object initial damage vector d of middle evaluation object orepresent, the initial Cable Structure steady temperature data vector T of Cable Structure steady temperature data orepresent.Due to based on A othe initial value (actual measurement obtains) of the evaluation calculating all monitored amounts closely all monitored amounts, so also can be used in A obasis on, carry out Mechanics Calculation obtains, A othe evaluation of each monitored amount form monitored amount initial value vector C o.T oand d oa oparameter, alternatively C oby A omechanics Calculation result composition.
Second step: circulation starts.When circulation starts each time, first need the evaluation object current initial damage vector d set up or set up when this circulation starts i o(i=1,2,3 ...), set up the current initial mechanical Calculation Basis model A of Cable Structure i o(such as finite element benchmark model, A in circulation each time i oconstantly update), A i otemperature Distribution " current initial Cable Structure steady temperature data vector T i o" express.Letter i is except representing the place of number of steps significantly, and alphabetical i only represents cycle index in the method, i.e. i-th circulation.A oand A i ocount temperature parameter, can the Effect on Mechanical Properties of accounting temperature change to Cable Structure.
The current initial damage vector of evaluation object that i-th circulation needs when starting is designated as d i o(as the formula (3)), d is used i owhen representing that this circulation starts, Cable Structure is (with current initial mechanical Calculation Basis model A i orepresent) the health status of evaluation object.
d o i = d o 1 i d o 2 i . . . d ok i . . . d oN i T - - - ( 3 )
D in formula (3) i ok(i=1,2,3, K=1,2,3 ...., N) represent i-th time circulation start time, current initial mechanical Calculation Basis model A i oin the original state of a kth evaluation object, if this evaluation object is a rope (or pull bar) in cable system, so d i okrepresent its initial damage, d i okrepresent not damaged when being 0, when being 100%, represent that this rope thoroughly loses load-bearing capacity, represent the load-bearing capacity losing corresponding proportion time between 0 and 100%, if this evaluation object is angular displacement component, so a d of a bearing i okrepresent its initial displacement numerical value.
Set up and upgrade d i omethod as follows:
When first time, circulation started, (foundation formula (3) is designated as d to set up the current initial damage vector of evaluation object 1 o) time, d 1 ojust equal d o.I-th (i=2,3,4,5,6 ...) the secondary evaluation object current initial damage vector d needed when starting that circulates i o, be front once (namely the i-th-1 time, i=2,3,4,5,6 ...) circulation terminate before calculate obtain, concrete grammar is described below.
I-th (i=1,2,3,4,5,6 ...) secondary circulation needs the Mechanics Calculation benchmark model set up or the Mechanics Calculation benchmark model of Cable Structure set up to be designated as current initial mechanical Calculation Basis model A when starting i o.Corresponding to A i o" Cable Structure steady temperature data " use vector T i orepresent, be called current initial Cable Structure steady temperature data vector T i o.Vector T i odefinition mode and vector T odefinition mode identical, must set up or set up and be called current initial Cable Structure steady temperature data vector T when circulation starts each time i o.
Set up, upgrade A i oand T i omethod as follows:
The Mechanics Calculation benchmark model of the Cable Structure set up when first time, circulation started is designated as A 1 o, A 1 oequal A o, T 1 oequal T o.A in circulation each time i oand T i obe constantly update, concrete grammar is described below; At the end of circulation each time, upgrade A i oand T i othe Mechanics Calculation benchmark model of the Cable Structure required when starting that next time circulated, concrete grammar is described below.
This method " monitored amount current initial value vector C i o" (i=1,2,3 ...) initial value (see formula (4)) of all monitored amounts of specifying when representing that i-th time (i=1,2,3,4,5,6 ...) circulation starts, C i oalso can be called " the monitored amount that circulates for i-th time current initial value vector ".
C o i = C o 1 i C o 2 i . . . C oj i . . . C oM i T - - - ( 4 )
C in formula (2) i oj(i=1,2,3, J=1,2,3 ...., M) be jth monitored amount when circulating beginning for i-th time, in Cable Structure.Vector C i obe to be arranged according to a definite sequence by the monitored amount of previously defined M to form, putting in order to this there is no particular/special requirement, only requires all associated vector also array data in this order below.
At Modling model A i owhile set up " monitored amount current initial value vector C i o", monitored amount current initial value vector C i orepresent and correspond to A i othe concrete numerical value of all monitored amount, C i oelement and C oelement one_to_one corresponding, represent that all monitored amounts are in A in Cable Structure respectively i oand A oconcrete numerical value during two states.
Set up and upgrade C i oconcrete grammar as follows:
When first time, circulation started, C 1 o(i=1, C i obe embodied as C 1 o) equal C o; I-th (i=2,3,4,5,6 ...) secondary i-th circulation " the monitored amount current initial value vector C needed when starting that circulates i o", be front once (namely the i-th-1 time, i=2,3,4,5,6 ...) circulation terminate before calculate obtain, concrete grammar is described below.I-th (i=1,2,3,4,5,6 ...) in circulation, " monitored amount current initial value vector C i o" be constantly update, concrete grammar is described below.Due to according to model A i othe initial value calculating gained monitored amount, reliably close to corresponding measured value, in describing below, will represent this calculated value composition of vector and measured value composition of vector with prosign.
T i oand d i oa i ocharacterisitic parameter, C i oa i oat T i oand d i omechanics Calculation result composition under condition.
3rd step: in Cable Structure military service process, in circulation each time, in other words in the i-th (i=1,2,3,4,5,6 ...) in secondary circulation, at known A i o, T i o, C i oand d i oafter, the current data of " Cable Structure steady temperature data " is obtained, current data composition " the current cable structure steady temperature data vector T of all " Cable Structure steady temperature data " according to " the temperature survey calculating method of the Cable Structure of this method " continuous Actual measurement i", vector T idefinition mode and vector T odefinition mode identical; In actual measurement vector T iwhile, namely at acquisition current cable structure steady temperature data vector T ithe synchronization in moment, actual measurement obtains the currency of all monitored amounts in Cable Structure, and all these numerical value form monitored amount current value vector C i.C ielement and C oelement one_to_one corresponding, represent that identical monitored amount is at not numerical value in the same time.
In acquisition vector T iafter, upgrade A according to following concrete grammar i o, T i o, C i oand d i o:
Relatively T iand T i oif, T iequal T i o, then do not need A i oupgrade, otherwise need A i oand T i oupgrade, update method is: the first step calculates T iwith T odifference, T iwith T odifference be exactly the changes of current cable structure steady temperature data about initial Cable Structure steady temperature data, T iwith T odifference represent with steady temperature change vector S, S equals T ideduct T o, S represents the change of Cable Structure steady temperature data; Second step is to A oin Cable Structure apply temperature variation, the numerical value of the temperature variation of applying just takes from steady temperature change vector S, to A oin Cable Structure apply temperature variation after obtain upgrade current initial mechanical Calculation Basis model A i o, upgrade A i owhile, T i oall elements numerical value also uses T iall elements numerical value correspondence replace, namely have updated T i o, so just obtain and correctly correspond to A i ot i o; Now d i oremain unchanged.As renewal A i oafter, A i othe health status evaluation object of evaluation object current initial damage vector d i orepresent, A i ocable Structure steady temperature current cable structure steady temperature data vector T irepresent, obtain A by Mechanics Calculation i oin all monitored amounts, current concrete numerical value, replace C with these concrete numerical value i othe element of middle correspondence, so just achieves monitored amount current initial value vector C i orenewal.
4th step: circulation time must first be set up " unit damage monitored numerical quantity unit change matrix " and " unit damage or unit angular displacement vector " each time, and " unit damage monitored numerical quantity unit change matrix " that i-th circulation is set up is designated as Δ C i(i=1,2,3 ...)." unit damage or unit angular displacement vector " that i-th circulation is set up is designated as D i u.Δ C in circulation each time iand D i uneed according to circumstances to constantly update, namely at the current initial mechanical Calculation Basis model A of renewal i o, current initial Cable Structure steady temperature data vector T i owith monitored amount current initial value vector C i oafter, upgrade unit damage monitored numerical quantity unit change matrix Δ C iwith unit damage or unit angular displacement vector D i u.
First unit damage monitored numerical quantity unit change matrix Δ C is set up in the steps below when circulation starts each time iwith unit damage or unit angular displacement vector D i u; If have updated A in the third step i o, (namely upgrading) unit damage monitored numerical quantity unit change matrix Δ C so must be re-established in this step iwith unit damage or unit angular displacement vector D i u; If do not upgrade A in the third step i o, unit damage monitored numerical quantity unit change matrix Δ C so need not be re-established in this step iwith unit damage or unit angular displacement vector D i u; Set up and re-establish (namely upgrading) Δ C iand D i udetailed process identical, arrange as follows:
At the current initial mechanical Calculation Basis model A of Cable Structure i obasis on carry out several times calculating, calculation times numerically equals the quantity of all ropes.Calculate hypothesis each time to only have an evaluation object (original damage or angular displacement of support can be 0 at original damage or angular displacement of support, also can not be 0) basis on increase unit damage or unit angular displacement again, concrete, if this evaluation object is a support cable in cable system, so just suppose that this support cable increases unit damage again and (such as gets 5%, 10%, 20% or 30% equivalent damage is unit damage), if this evaluation object is the angular displacement component in a direction of a bearing, just suppose that this bearing increases unit angular displacement again in this angular displacement direction and (such as gets 100,000/radian, 2/100000ths radians, 3/100000ths radians etc. are unit angular displacement).For convenience of calculating, can be all structural health conditions when this circulation is started when in circulation, setting increases unit damage or unit angular displacement each time as being completely healthy, and set on this basis unit damage or unit angular displacement (in subsequent step, calculate, the damage numerical value of evaluation object or angular displacement---be called nominal fatigue d i c(i=1,2,3 ...), all relative to when this circulation is started, by the health status of evaluation object as being completely healthy speech, therefore must the formula that hereinafter provides of foundation the nominal fatigue calculated is converted into true damage).With occurring in the calculating each time once circulated that the evaluation object of unit damage or unit angular displacement is different from during other time calculates the evaluation object occurring unit damage or unit angular displacement, and suppose there is unit damage value or unit value of angular displacement that the unit damage value of the evaluation object of unit damage or unit angular displacement or unit value of angular displacement can be different from other evaluation objects each time, with " unit damage or unit angular displacement vector D i u" (as the formula (5)) record the unit damage of supposition or the unit angular displacement of all evaluation objects in each circulation, first time circulation time be designated as D 1 ucalculate the current calculated value all utilizing M that mechanics method (such as finite element method) calculates Cable Structure, that specified above monitored amount each time, the current calculated value calculating a gained M monitored amount each time forms one " monitored amount calculation current vector ", and (when supposing that a kth evaluation object has unit damage or unit angular displacement, available formula (6) represents the monitored amount calculation current vector C of all M specified a monitored amount i tk); The monitored amount calculation current vector calculated each time deducts monitored amount current initial value vector C i oobtain a vector, obtain after again each element of this vector being calculated divided by this unit damage or unit angular displacement numerical value supposed one " the unit change vector of monitored amount ", " the unit change vector of monitored amount " that be exactly (to have the position of the rope of unit damage or numbering etc. for mark) under this condition (when a kth evaluation object has unit damage or unit angular displacement, uses δ C i krepresent the unit change vector of monitored amount, δ C i kdefinition see formula (7), formula (8) and formula (9), formula (7) deducts after formula (4) again divided by vectorial D for formula (6) i ua kth element D i ukgained), the unit change vector δ C of monitored amount i keach element representation owing to suppose there is unit damage or unit angular displacement (the such as D of that evaluation object (such as a kth evaluation object) of unit damage or unit angular displacement when calculating i uk), and the numerical value knots modification of monitored amount corresponding to this element caused is relative to the unit damage of supposition or unit angular displacement numerical value D i ukrate of change; N number of evaluation object is had just to have N number of " the unit change vector of monitored amount ", the unit change vector of each monitored amount has M element, forms by this N number of " unit change vector of monitored amount " " the unit damage monitored numerical quantity unit change matrix Δ C having M × N number of element successively i" (the capable N row of M), each vectorial δ C i k(k=1,2,3 ...., N) be matrix Δ C irow, Δ C idefinition as the formula (10).
D u i = D u 1 i D u 2 i . . . D uk i . . . D uN i T - - - ( 5 )
Unit damage or unit angular displacement vector D in formula (5) i uelement D i uk(i=1,2,3, K=1,2,3 ...., N) represent the unit damage of a kth evaluation object or the unit angular displacement numerical value of supposition in i-th circulation, vectorial D i uin the numerical value of each element can be the same or different.
C tk i = C tk 1 i C tk 2 i . . . C tkj i . . . C tkM i T - - - ( 6 )
Elements C in formula (6) i tkj(i=1,2,3, K=1,2,3 ...., N; J=1,2,3 ...., M) represent i-th circulation due to a kth evaluation object have unit damage or a unit angular displacement time, according to the calculating current value of the individual monitored amount of specifying of the jth corresponding to coding rule.
δ C k i = C tk i - C o i D uk i - - - ( 7 )
The subscript i(i=1 of each amount in formula (7), 2,3 ...) represent i-th circulation, subscript k(k=1,2,3 ...., N) represent the unit damage that a kth evaluation object increases or unit angular displacement, D in formula i ukvectorial D i uin a kth element.Vector δ C i kdefinition such as formula shown in (7) and formula (8), δ C i kjth (j=1,2,3 ...., M) individual element δ C i kj(definition as the formula (9)) represents in i-th circulation, sets up matrix Δ C itime, assuming that a kth evaluation object has the knots modification calculating a gained jth monitored amount when unit damage or unit angular displacement relative to the unit damage supposed or unit angular displacement D i ukrate of change.
δ C k i = δ C k 1 i δ C k 2 i . . . δ C kj i . . . δ C kM i T - - - ( 8 )
δ C kj i = C tkj i - C oj i D uk i - - - ( 9 )
Δ C i = δ C 1 i δ C 2 i . . . δ C k i . . . δ C N i - - - ( 10 )
Vectorial δ C in formula (10) i k(i=1,2,3 ...., k=1,2,3 ...., N) represent in i-th circulation, because a kth evaluation object increases unit damage or unit angular displacement D i ukcause, the change of the relative value of all monitored amounts.Matrix Δ C ithe coding rule of row (subscript k) and vectorial d above i othe coding rule of subscript k of element identical.
5th step: the current health state identifying Cable Structure.Detailed process is as follows.
I-th (i=1,2,3 ...) in secondary circulation, utilize " the monitored amount current value vector C obtained in second step actual measurement i" " monitored amount current initial value vector C together i o", " unit damage monitored numerical quantity unit change matrix Δ C i" and " current nominal fatigue vector d i c" between linear approximate relationship, shown in (11) or formula (12).
C i = C o i + Δ C i · d c i - - - ( 11 )
C i - C o i = Δ C i · d c i - - - ( 12 )
Monitored amount current value vector C in formula (11) and formula (12) idefinition be similar to monitored amount current initial value vector C i odefinition, see formula (13); Evaluation object current nominal fatigue vector d i cdefinition see formula (14).
C i = C 1 i C 2 i . . . C j i . . . C M i T - - - ( 13 )
Elements C in formula (13) i j(i=1,2,3 ....; J=1,2,3 ...., M) be i-th circulation time Cable Structure, the current value that be numbered the monitored amount of j of foundation corresponding to coding rule.
d c i = d c 1 i d c 2 i . . . d ck i . . . d cN i T - - - ( 14 )
D in formula (14) i ck(i=1,2,3 ....; K=1,2,3 ...., N) be the current nominal fatigue of a kth evaluation object in i-th circulation or current nominal value of angular displacement, vectorial d i cthe coding rule of subscript k of element and matrix Δ C ithe coding rule of row identical.
When support cable actual damage is not too large, angular displacement of support is less, because Cable Structure material is still in the linear elasticity stage, the distortion of Cable Structure is also less, formula (11) or a kind of like this linear relationship represented by formula (12) less with the error of actual conditions, error can use error vector e i(formula (15)) define, the error of expression (11) or the shown linear relationship of formula (12).
e i = abs ( Δ C i · d c i - C i + C o i ) - - - ( 15 )
In formula (15), abs () is the function that takes absolute value, and takes absolute value to each element of the vector of trying to achieve in bracket.
There is certain error in the linear relationship represented by formula (11) or formula (12), therefore can not simply according to formula (11) or formula (12) and " monitored amount current value vector C i" carry out direct solution and obtain evaluation object current nominal fatigue vector d i c.If this has been doned, the evaluation object obtained current nominal fatigue vector d i cin element even there will be larger negative value, namely negative damage, this is obviously irrational.Therefore evaluation object current nominal fatigue vector d is obtained i cacceptable solution (namely with reasonable error, but position and the degree of injury thereof of damaged cable can be determined more exactly from cable system, also can determine angular displacement of support numerical value more exactly) become a rational solution, available formula (16) expresses this method.
abs ( Δ C i · d c i - C i + C o i ) ≤ g i - - - ( 16 )
In formula (16), abs () is the function that takes absolute value, vectorial g idescription departs from the legitimate skew of ideal linearity relation (formula (11) or formula (12)), is defined by formula (17).
g i = g 1 i g 2 i . . . g j i . . . g M i T - - - ( 17 )
G in formula (17) i j(i=1,2,3 ....; J=1,2,3 ...., M) describe the maximum allowable offset departing from formula (11) or the ideal linearity relation shown in formula (12) in i-th circulation.Vector g ithe error vector e that can define according to formula (15) itentative calculation is selected.
At monitored amount current initial value vector C i o, unit damage monitored numerical quantity unit change matrix Δ C iwith monitored amount current value vector C itime known, suitable algorithm (such as multi-objective optimization algorithm) can be utilized to solve formula (16), obtain evaluation object current nominal fatigue vector d i cacceptable solution, evaluation object current actual damage vector d ithe element of (formula (18) is shown in definition) can calculate according to formula (19), thus can by d idetermine the health status of evaluation object.
d i = d 1 i d 2 i . . . d k i . . . d N i T - - - ( 18 )
D in formula (18) i k(i=1,2,3, K=1,2,3 ...., N) represent the current actual health status of a kth evaluation object in i-th circulation, formula (19) is shown in its definition, if this evaluation object is a support cable (or pull bar) in cable system, so d i krepresent its current actual damage, d i krepresent not damaged when being 0, when being 100%, represent that this support cable thoroughly loses load-bearing capacity, represent the load-bearing capacity losing corresponding proportion time between 0 and 100%, if this evaluation object is angular displacement component, so a d of a bearing i krepresent its current actual displacement angle numerical value, vectorial d ithe coding rule of element and formula (1) in vectorial d othe coding rule of element identical.
D in formula (19) i ok(i=1,2,3,4, K=1,2,3 ...., N) be evaluation object current initial damage vector d i oa kth element, d i ckevaluation object current nominal fatigue vector d i ca kth element.
Describe below and obtain evaluation object current actual damage vector d iafter, how to determine position and the relax level of slack line.
By M total in front known Cable Structure 1root support cable, Cable Structure rope force data is by M 1the Suo Li of root support cable describes.Available " Initial cable force vector F o" represent the Initial cable force (formula (20) is shown in definition) of all support cables in Cable Structure.
F o = F o 1 F o 2 . . . F oh . . . F oM 1 T - - - ( 20 )
F in formula (20) o(h=1,2,3 ...., M 1) be the Initial cable force of h root support cable in Cable Structure, this element corresponds to the Suo Li specifying support cable according to coding rule.Vector F oit is constant.T is obtained in actual measurement osynchronization, use conventional method direct survey calculation to obtain the rope force data of all support cables, all these rope force datas composition Initial cable force vector F o.Setting up the initial mechanical Calculation Basis model A of Cable Structure otime in fact employ vectorial F o.
By current for evaluation object actual damage vector d iin the M relevant to support cable 1individual element takes out, composition support cable current actual damage vector d ic, support cable current actual damage vector d icthe coding rule of element and Initial cable force vector F othe coding rule of element identical.Support cable current actual damage vector d ich element representation Cable Structure in the current actual damage amount of h root support cable, h=1,2,3 ...., M 1; Current actual damage vector d icmiddle numerical value be not 0 element correspond to the support cable of unsoundness problem, carry out Non-Destructive Testing to the support cable of these unsoundness problems, after Non-Destructive Testing finds out that this support cable is not damaged, so this element numerical value (uses d ic hrepresent) represent this support cable and d ic hrelaxing of impairment value mechanic equivalent, just determine slack line thus, the computing method of concrete slack are described below.
Represent the current cable power (formula (21) is shown in definition) of all support cables in the Cable Structure of surveying and obtaining with " current cable force vector F " in this method.
F = F 1 F 2 . . . F h . . . F M 1 T - - - ( 21 )
F in formula (21) h(h=1,2,3 ...., M 1) be the current cable power of h root support cable in Cable Structure.Current cable structure steady temperature data vector T is obtained in actual measurement isynchronization, actual measurement obtains the rope force data of all support cables in Cable Structure, all these rope force datas composition current cable force vector F.The element of vector F and vectorial F othe coding rule of element identical.According to describing above, vector T i oequal vector T i.
In this method, under support cable original state, at the initial Cable Structure steady temperature data vector T of steady temperature data of Cable Structure oduring expression, and when support cable is in free state (free state refers to that Suo Li is 0, rear same), the length of support cable is called initial drift, with " initial drift vector l o" represent the initial drift (formula (22) is shown in definition) of all support cables in Cable Structure.Vector T is passed through according to " the temperature survey calculating method of the Cable Structure of this method " ocan determine obtaining vector T othe Temperature Distribution of all support cables in moment.
l o = l o 1 l o 2 . . . l oh . . . l oM 1 T - - - ( 22 )
L in formula (22) oh(h=1,2,3 ...., M 1) be the initial drift of h root support cable in Cable Structure.Vector l obeing constant, after determining when starting, just no longer changing.
Similar, under support cable original state, at the initial Cable Structure steady temperature data vector T of steady temperature data of Cable Structure oduring expression, and when support cable is in free state, the cross-sectional area of support cable is called initial free cross-sectional area, with " initial free cross-sectional area vector A o" representing the initial free cross-sectional area (formula (23) is shown in definition) of all support cables in Cable Structure, the weight of the unit length of support cable is called the weight of initial free unit length, with " the weight vector ω of initial free unit length o" represent the weight (formula (24) is shown in definition) of the initial free unit length of all support cables in Cable Structure.
A o = A o 1 A o 2 . . . A oh . . . A oM 1 T - - - ( 23 )
A in formula (23) oh(h=1,2,3 ...., M 1) be the initial free cross-sectional area of h root support cable in Cable Structure.Vector A obeing constant, after determining when starting, just no longer changing.
ω o = ω o 1 ω o 2 . . . ω oh . . . ω o M 1 T - - - ( 24 )
ω in formula (24) oh(h=1,2,3 ...., M 1) be the weight of the free unit length of initial freedom of h root support cable in Cable Structure.Vector ω obeing constant, after determining when starting, just no longer changing.
In this method, at the current initial Cable Structure steady temperature data vector T of steady temperature data of Cable Structure t oduring expression, with " current initial drift vector l t o" (formula (25) is shown in definition, when referring to that hypothesis supporting cable force is 0, considers thermal expansivity and temperature variation to after the impact of support cable drift, initial drift vector l to represent the current initial drift of all support cables in Cable Structure owith initial Cable Structure steady temperature data vector T othe support cable represented is at the current initial Cable Structure steady temperature data vector T of temperature i osupport cable drift during expression).According to " the temperature survey calculating method of the Cable Structure of this method ", pass through vector T i ocan determine obtaining vector T i othe Temperature Distribution of all support cables in moment.
l o t = l o 1 t l o 2 t . . . l oh t . . . l oM 1 t T - - - ( 25 )
L in formula (25) t oh(h=1,2,3 ...., M 1) be the current initial Cable Structure steady temperature data vector T of steady temperature data in Cable Structure i oduring expression, the current initial drift of h root support cable in Cable Structure, can utilize the thermal expansivity of support cable, l oh, T oand T i ol is calculated by Typical physical t oh.
Element, the vectorial l of vector F oelement, vectorial l t oelement, vectorial A oelement, vectorial ω oelement and vectorial F othe coding rule of element identical, the different information of the same support cable of element representation of the identical numbering of these vectors.
In this method, at the current initial Cable Structure steady temperature data vector T of steady temperature data of Cable Structure i oduring expression, represent the current drift (formula (26) is shown in definition, and now support cable may be intact, may be impaired, also may be lax) of all support cables in Cable Structure with " current drift vector l ".
l = l 1 l 2 . . . l h . . . l M 1 T - - - ( 26 )
L in formula (26) h(h=1,2,3 ...., M 1) be the current drift of h root support cable in Cable Structure.
In this method, represent the knots modification (formula (27) and formula (28) are shown in definition) of the drift of all support cables in Cable Structure with " drift changes vectorial Δ l " (or claiming support cable current slack degree vector).
Δl=[Δl 1Δl 2···Δl j···Δl N] T(27)
Δ l in formula (27) h(h=1,2,3 ...., M 1) be the knots modification of the drift of h root support cable in current cable structure, its definition is shown in formula (28), Δ l hbe not 0 rope be slack line, Δ l hnumerical value be the slack of rope, and representing the current slack degree of cable system h root support cable, is also the long adjustment amount of rope of this rope during adjustment Suo Li.
Δ l h = l h - l oh t - - - ( 28 )
In the method by slack line is carried out with damaged cable the relax level identification that mechanic equivalent carries out slack line, the mechanical condition of equivalence is:
One, the nothing of the rope of two equivalences is lax identical with the mechanics parameters of initial drift during not damaged, geometrical property parameter and material;
Two, after lax or damage, the slack line of two equivalences and the Suo Li of damage rope be out of shape after overall length identical.
When meeting above-mentioned two equivalent conditions, such two support cables mechanics function is in the structure exactly identical, if after namely replacing slack line with the damaged cable of equivalence, any change can not occur Cable Structure, and vice versa.
Obtain support cable current actual damage vector d icafter, d ich element d ic h(h=1,2,3 ...., M 1) representing the actual damage value of h root support cable, its definition is shown in formula (19), although by d ic hbe called the actual damage value of h root support cable or the actual damage degree of h root support cable, but also may be lax because h root Suo Keneng is impaired, so d ich element d ic hthe actual damage value of the h root support cable represented is actually the actual equivalent damage value of h root support cable, when h root support cable is actually impaired, and d ic hthe actual damage value of the h root support cable just represented, when h root support cable is actually lax, d ic hthe h root support cable just represented with the actual damage value of lax equivalence, for sake of convenience, claim d in the method ic hrepresent h root support cable not damaged when being 0, when being 100%, represent that this rope thoroughly loses load-bearing capacity, time between 0 and 100%, represent that h root support cable loses the load-bearing capacity of corresponding proportion, by evaluation object current actual damage vector d icjust can identify the support cable that health status goes wrong, but in the support cable that goes wrong of these health status, some is impaired, some relaxes, if h root support cable is actually relax (its current slack degree Δ l jdefinition), the current slack degree Δ l of so lax h root support cable j(Δ l jdefinition see formula (27)) with the current actual damage degree d of damaged cable of equivalence ic hbetween relation determined by aforementioned two mechanic equivalent conditions.Δ l hsame d ic hbetween physical relationship can adopt accomplished in many ways, such as can directly determine (see formula (29)) according to aforementioned equivalent condition, also can adopt after replacing the E in formula (25) to revise based on Ernst equivalent elastic modulus and determine (see formula (30)), other method such as trial and error procedure based on finite element method also can be adopted to determine.
Δl h t = d h ci 1 - d h ci F h E h t A h t + F h l oh t - - - ( 29 )
Δl h t = d h ci 1 - d h ci F h [ E h t 1 + ( ω h t l xh t ) 2 A h t E h t 12 ( F h ) 3 ] A h t + F h l oh t - - - ( 30 )
Formula (29) and the middle E of formula (30) t hthe current initial Cable Structure steady temperature data vector T of steady temperature data in Cable Structure i oduring expression, the elastic modulus of h root support cable, A t hthe current initial Cable Structure steady temperature data vector T of steady temperature data in Cable Structure i oduring expression, the cross-sectional area of h root support cable, F hthe current initial Cable Structure steady temperature data vector T of steady temperature data in Cable Structure i oduring expression, the current cable power of h root support cable, d i hthe current actual damage degree of h root support cable, ω t hthe current initial Cable Structure steady temperature data vector T of steady temperature data in Cable Structure t oduring expression, the weight of the unit length of h root support cable, l t xhthe current initial Cable Structure steady temperature data vector T of steady temperature data in Cable Structure i oduring expression, the horizontal range of two supporting end points of h root support cable, l t xhthat current support cable two supports end points horizontal range vector l t xan element, current support cable two support end points horizontal range vector l t xthe coding rule of element and initial drift vector l othe coding rule of element identical, E t hcan obtain according to the characteristic material data looking into or survey h root support cable, A t hand ω t hcan according to the thermal expansivity of h root support cable, A oh, ω oh, F h, T oand T i oobtained by Typical physical and Mechanics Calculation.Item in formula (30) in [] is the Ernst equivalent elastic modulus of this support cable, just can determine support cable current slack degree vector Δ l by formula (29) or formula (30).Formula (30) is the correction to formula (29).
6th step: judge whether to terminate this (i-th time) circulation, if so, then completes this tailing in work before terminating that circulates, for next time (namely the i-th+1 time, i=1,2,3,4 ...) circulating prepares Mechanics Calculation benchmark model and necessary vector.Detailed process is as follows:
Current nominal fatigue vector d is tried to achieve in this (i-th time) circulation i cafter, first, set up mark vector B according to formula (31) i, formula (32) gives mark vector B ithe definition of a kth element; If mark vector B ielement be 0 entirely, then get back to the 3rd step and proceed health monitoring to Cable Structure and calculating; If mark vector B ielement be not 0, then after completing subsequent step entirely, enter and circulate next time.
So-called subsequent step is: first, according to formula (33) calculate next time (namely the i-th+1 time, i=1,2,3,4 ...) needed for circulation initial damage vector d i+1 oeach element d i+1 ok; The second, at Mechanics Calculation benchmark model A obasis on, make A oin the health status of evaluation object be d i+1 oinstead of be d oafter, more further to A oin Cable Structure apply temperature variation (as previously mentioned, the numerical value of the temperature variation of applying just takes from steady temperature change vector S, and steady temperature change vector S equals T ideduct T o), so just obtain next time (namely the i-th+1 time, i=1,2,3,4 ...) current initial mechanical Calculation Basis mould A needed for circulation i+1 o, next time (namely the i-th+1 time, i=1,2,3,4 ...) current initial Cable Structure steady temperature data vector T needed for circulation i+1 oequal T i o, to A i+1 ocarry out Mechanics Calculation to obtain corresponding to A i+1 oall monitored amount, current concrete numerical value, these concrete numerical value compositions next time (namely the i-th+1 time, i=1,2,3,4 ...) the current initial value vector C of monitored amount needed for circulation i+1 o.
B i = B 1 i B 2 i . . . B k i . . . B N i T - - - ( 31 )
Mark vector B in formula (31) isubscript i represent i-th circulation, its element B i k(k=1,2,3 ..., N) subscript k represent the health status feature of a kth evaluation object, can only get 0 and 1 two amount, concrete value rule is shown in formula (32).
Element B in formula (32) i kmark vector B ia kth element, D i ukunit damage or unit angular displacement vector D i ua kth element (see formula (3)), d i ckevaluation object current nominal fatigue vector d i ca kth element (see formula (14)), they all represent the relevant information of a kth evaluation object.
D in formula (33) i ukunit damage or unit angular displacement vector D i ua kth element (see formula (5)), d i okevaluation object current initial damage vector d i oa kth element (see formula (3)).
The Part III of this method: the software and hardware part of health monitoring systems.
Hardware components comprises monitoring system (comprising monitored amount monitoring system, temperature monitoring system), signal picker and computing machine etc.Require that Real-Time Monitoring obtains temperature required measured data, require each monitored amount of Real-Time Monitoring simultaneously.
Software section should complete the process set by this method, namely to complete in this method required, can by functions such as computer implemented monitoring, record, control, storage, calculating, notice, warnings.
This method specifically comprises:
A. for sake of convenience, this method unitedly calls evaluated support cable and angular displacement of support component to be evaluation object, if the quantity sum of the quantity of evaluated support cable and angular displacement of support component is N, namely the quantity of evaluation object is N; Determine the coding rule of evaluation object, evaluation objects all in Cable Structure numbered by this rule, this numbering will be used for generating vector sum matrix in subsequent step; This method variable k represents this numbering, k=1,2,3 ..., N; Specify when determining hybrid monitoring by the support cable of monitored Suo Li, if total M in cable system 1root support cable, the monitored rope force data of Cable Structure specifies Q rope force data of support cable to describe by Q in Cable Structure, and the change of Cable Structure Suo Li is exactly the change of the Suo Li of all appointment support cables; Each total Q cable force measurement value or calculated value characterize the rope force information of Cable Structure; Q is one and is not less than 0, is not more than M 1integer; Specify when determining hybrid monitoring by the measured point of monitored strain, the monitored strain data of Cable Structure can by K in Cable Structure 2the L of individual specified point and each specified point 2the strain of individual assigned direction describes, and the change of Cable Structure strain data is exactly K 2the change of all tested strain of individual specified point; Each total M 2individual strain measurement value or calculated value characterize Cable Structure strain, M 2for K 2and L 2long-pending; M 2be be not less than 0 integer; Specify when determining hybrid monitoring by the measured point of monitored angle, the monitored angle-data of Cable Structure is by K in Cable Structure 3individual specified point, cross the L of each specified point 3the H of individual appointment straight line, each appointment straight line 3individual angle coordinate component describes, and the change of Cable Structure angle is exactly the change of all specified points, all appointment straight line, all angle coordinate component of specifying; Each total M 3individual angle coordinate component measurement value or calculated value characterize the angle information of Cable Structure, M 3for K 3, L 3and H 3long-pending; M 3it is an integer being not less than 0; Specify when determining hybrid monitoring by monitored shape data, the monitored shape data of Cable Structure is by K in Cable Structure 4the L of individual specified point and each specified point 4the volume coordinate of individual assigned direction describes, and the change of Cable Structure shape data is exactly K 4the change of all coordinate components of individual specified point; Each total M 4individual coordinates measurements or calculated value characterize Cable Structure shape, M 4for K 4and L 4long-pending; M 4it is an integer being not less than 0; The monitored amount of comprehensive above-mentioned hybrid monitoring, whole Cable Structure has M monitored amount, and M is Q, M 2, M 3and M 4sum, definition parameter K, K is Q, K 2, K 3and K 4sum, K and M must not be less than the quantity N of evaluation object; Because M monitored amount is dissimilar, so this method is called " during temperature variation the damaged cable of hybrid monitoring and support translation identification method "; For simplicity, in the method by monitored all parameters of Cable Structure " during the hybrid monitoring " listed by this step referred to as " monitored amount "; The quantity sum of all monitored amounts is designated as M, and M must not be less than N; Must not be greater than 30 minutes to the time interval between any twice measurement of same amount Real-Time Monitoring in this method, the moment of survey record data is called the physical record data moment;
B. this method definition " the temperature survey calculating method of the Cable Structure of this method " is undertaken by step b1 to b3;
B1: inquiry or actual measurement obtain the temperature variant thermal conduction study parameter of environment residing for Cable Structure composition material and Cable Structure, utilize the geometry measured data of the design drawing of Cable Structure, as-constructed drawing and Cable Structure, utilize these data and parameter to set up the Thermodynamic calculation model of Cable Structure, inquiry Cable Structure location is no less than the meteorological data in recent years of 2 years, the statistics cloudy quantity obtained is during this period of time designated as T cloudy day, in the method daytime can not be seen one of the sun and be called the cloudy day all day, statistics obtains 0 highest temperature after sunrise moment next day between 30 minutes and the lowest temperature at each cloudy day in T cloudy day, the sunrise moment refers to the sunrise moment on the meteorology that base area revolutions and revolution rule are determined, do not represent that the same day necessarily can see the sun, data can be inquired about or calculated sunrise moment of each required day by conventional meteorology, 0 highest temperature after sunrise moment next day between 30 minutes at each cloudy day deducts the maximum temperature difference that the lowest temperature is called the daily temperature at this cloudy day, there is T cloudy day, just there is the maximum temperature difference of the daily temperature at T cloudy day, the maximal value of getting in the maximum temperature difference of the daily temperature at T cloudy day is reference temperature difference per day, Δ T is designated as with reference to temperature difference per day r, be no less than between inquiry Cable Structure location and Altitude Region, place temperature that the meteorological data in recent years of 2 years or actual measurement obtain environment residing for Cable Structure in time with delta data and the Changing Pattern of sea level elevation, calculate to be no less than 2 years between Cable Structure location and Altitude Region, place Cable Structure in recent years residing for the temperature of environment about the maximum rate of change Δ T of sea level elevation h, get Δ T for convenience of describing hunit be DEG C/m, the surface of Cable Structure is got " R Cable Structure surface point ", the Specific Principles getting " R Cable Structure surface point " describes in step b3, the temperature of this R Cable Structure surface point will be obtained below by actual measurement, claiming to survey the temperature data obtained is " R Cable Structure surface temperature measured data ", if utilize the Thermodynamic calculation model of Cable Structure, obtained the temperature of this R Cable Structure surface point by Calculation of Heat Transfer, just claim the temperature data that calculates for " R Cable Structure land surface pyrometer count certificate ", from the minimum height above sea level residing for Cable Structure to most High aititude, in Cable Structure, uniform choosing is no less than three different sea level elevations, at the sea level elevation place that each is chosen, two points are at least chosen at the intersection place on surface level and Cable Structure surface, from the outer normal of selected point straw line body structure surface, all outer normal directions chosen are called " measuring the direction of Cable Structure along the Temperature Distribution of wall thickness ", measure Cable Structure crossing with " intersection on surface level and Cable Structure surface " along the direction of the Temperature Distribution of wall thickness, in in the shade the outer normal direction of the measurement Cable Structure chosen along the sunny slope outer normal direction and Cable Structure that must comprise Cable Structure in the direction of the Temperature Distribution of wall thickness, three points are no less than along each measurement Cable Structure along direction uniform choosing in Cable Structure of the Temperature Distribution of wall thickness, especially, along each, Cable Structure is measured for support cable and only gets a point along the direction of the Temperature Distribution of wall thickness, namely the temperature of the surface point of support cable is only measured, measure all temperature be selected a little, the temperature recorded is called " Cable Structure is along the temperature profile data of thickness ", wherein along crossing with same " intersection on surface level and Cable Structure surface ", " measure the direction of Cable Structure along the Temperature Distribution of wall thickness " to measure " Cable Structure is along the temperature profile data of thickness " that obtain, be called in the method " identical sea level elevation Cable Structure is along the temperature profile data of thickness ", if have chosen the individual different sea level elevation of H, at each sea level elevation place, have chosen B and measure the direction of Cable Structure along the Temperature Distribution of wall thickness, in Cable Structure, E point is have chosen along each measurement Cable Structure along the direction of the Temperature Distribution of wall thickness, wherein H and E is not less than 3, B is not less than 2, especially, 1 is equaled for support cable E, what meter Cable Structure " measured the point of Cable Structure along the temperature profile data of thickness " adds up to HBE, the temperature of this HBE " measuring the point of Cable Structure along the temperature profile data of thickness " will be obtained below by actual measurement, claiming to survey the temperature data obtained is " HBE Cable Structure is along thickness temperature measured data ", if utilize the Thermodynamic calculation model of Cable Structure, obtain this HBE by Calculation of Heat Transfer and measure the temperature of Cable Structure along the point of the temperature profile data of thickness, the temperature data calculated just is claimed to be " HBE Cable Structure calculates data along thickness temperature ", the number temperature profile data at sea level elevation place " identical sea level elevation Cable Structure is along the temperature profile data of thickness " will chosen at each in this method ", measure temperature in Cable Structure location according to meteorology to require to choose a position, obtain meeting the temperature that meteorology measures the Cable Structure place environment of temperature requirement by the actual measurement of this position, in the on-site spaciousness of Cable Structure, unobstructed place chooses a position, this position should each of the whole year day can obtain this ground the most sufficient sunshine of this day getable, at the flat board of this position of sound production one piece of carbon steel material, be called reference plate, reference plate can not contact with ground, reference plate overhead distance is not less than 1.5 meters, the one side of this reference plate on the sunny side, be called sunny slope, the sunny slope of reference plate is coarse with dark color, the sunny slope of reference plate should each of the whole year day can obtain one flat plate on this ground the most sufficient sunshine of this day getable, the non-sunny slope of reference plate is covered with insulation material, Real-Time Monitoring is obtained the temperature of the sunny slope of reference plate,
B2: Real-Time Monitoring obtains R Cable Structure surface temperature measured data of above-mentioned R Cable Structure surface point, Real-Time Monitoring obtains the temperature profile data of previously defined Cable Structure along thickness simultaneously, and Real-Time Monitoring obtains meeting the temperature record that meteorology measures the Cable Structure place environment of temperature requirement simultaneously, the temperature measured data sequence of the Cable Structure place environment after sunrise moment next day between 30 minutes is obtained being carved at sunrise the same day by Real-Time Monitoring, the temperature measured data sequence of Cable Structure place environment is arranged according to time order and function order by the temperature measured data of the Cable Structure place environment after being carved into the sunrise moment next day same day at sunrise between 30 minutes, find the maximum temperature in the temperature measured data sequence of Cable Structure place environment and minimum temperature, the maximum temperature difference be carved at sunrise on same day that minimum temperature obtains Cable Structure place environment after sunrise moment next day between 30 minutes is deducted by the maximum temperature in the temperature measured data sequence of Cable Structure place environment, be called environment maximum temperature difference, be designated as Δ T emax, calculated the rate of change of temperature about the time of Cable Structure place environment by Conventional mathematical by the temperature measured data sequence of Cable Structure place environment, this rate of change is also along with time variations, the measured data sequence of the temperature of the sunny slope of the reference plate after sunrise moment next day between 30 minutes is obtained being carved at sunrise the same day by Real-Time Monitoring, the measured data sequence of the temperature of the sunny slope of reference plate is arranged according to time order and function order by the measured data of the temperature of the sunny slope of the reference plate after being carved into the sunrise moment next day same day at sunrise between 30 minutes, find the maximum temperature in the measured data sequence of the temperature of the sunny slope of reference plate and minimum temperature, the maximum temperature difference be carved at sunrise on same day that minimum temperature obtains the temperature of the sunny slope of reference plate after sunrise moment next day between 30 minutes is deducted by the maximum temperature in the measured data sequence of the temperature of the sunny slope of reference plate, be called reference plate maximum temperature difference, be designated as Δ T pmax, the Cable Structure surface temperature measured data sequence of all R Cable Structure surface points after sunrise moment next day between 30 minutes is obtained being carved at sunrise the same day by Real-Time Monitoring, R Cable Structure surface point is had just to have R Cable Structure surface temperature measured data sequence, each Cable Structure surface temperature measured data sequence is arranged according to time order and function order by the Cable Structure surface temperature measured data after being carved into the sunrise moment next day same day of a Cable Structure surface point at sunrise between 30 minutes, find the maximum temperature in each Cable Structure surface temperature measured data sequence and minimum temperature, the maximum temperature difference be carved at sunrise on same day that minimum temperature obtains the temperature of each Cable Structure surface point after sunrise moment next day between 30 minutes is deducted by the maximum temperature in each Cable Structure surface temperature measured data sequence, there is R Cable Structure surface point just to have to be carved at sunrise R the same day maximum temperature difference numerical value between 30 minutes after sunrise moment next day, maximal value is wherein called Cable Structure surface maximum temperature difference, be designated as Δ T smax, calculated the rate of change of temperature about the time of each Cable Structure surface point by Conventional mathematical by each Cable Structure surface temperature measured data sequence, the temperature of each Cable Structure surface point about the rate of change of time also along with time variations, obtain being carved at sunrise the same day after sunrise moment next day between 30 minutes by Real-Time Monitoring, at synchronization, after HBE " Cable Structure is along the temperature profile data of thickness ", calculate the difference amounting to maximum temperature in BE " identical sea level elevation Cable Structure is along the temperature profile data of thickness " and minimum temperature at the sea level elevation place that each is chosen, the absolute value of this difference is called " identical sea level elevation place Cable Structure thickness direction maximum temperature difference ", have chosen H different sea level elevation just to have H " identical sea level elevation place Cable Structure thickness direction maximum temperature difference ", the maximal value in this H " identical sea level elevation place Cable Structure thickness direction maximum temperature difference " is claimed to be " Cable Structure thickness direction maximum temperature difference ", be designated as Δ T tmax,
B3: survey calculation obtains Cable Structure steady temperature data, first, determine the moment obtaining Cable Structure steady temperature data, the condition relevant to the moment determining to obtain Cable Structure steady temperature data has six, Section 1 condition is moment of obtaining Cable Structure steady temperature data between after being carved into sunrise moment next day at sunset between 30 minutes on same day, the sunset moment refers to the sunset moment on base area revolutions and the meteorology determined of revolution rule, can inquire about data or be calculated sunset moment of each required day by conventional meteorology, the a condition of Section 2 condition be after being carved into sunrise moment next day at sunrise between 30 minutes on same day during this period of time in, reference plate maximum temperature difference Δ T pmaxwith Cable Structure surface maximum temperature difference Δ T smaxall be not more than 5 degrees Celsius, the b condition of Section 2 condition be after being carved into sunrise moment next day at sunrise between 30 minutes on same day during this period of time in, the environment maximum error Δ T that survey calculation obtains above emaxbe not more than with reference to temperature difference per day Δ T r, and reference plate maximum temperature difference Δ T pmaxΔ T is not more than after deducting 2 degrees Celsius emax, and Cable Structure surface maximum temperature difference Δ T smaxbe not more than Δ T pmax, one of only need meet in a condition of Section 2 and b condition is just called and meets Section 2 condition, Section 3 condition is when obtaining Cable Structure steady temperature data, and the temperature of Cable Structure place environment is not more than 0.1 degree Celsius per hour about the absolute value of the rate of change of time, Section 4 condition is when obtaining Cable Structure steady temperature data, and the temperature of each the Cable Structure surface point in R Cable Structure surface point is not more than 0.1 degree Celsius per hour about the absolute value of the rate of change of time, Section 5 condition is when obtaining Cable Structure steady temperature data, and the Cable Structure surface temperature measured data of each the Cable Structure surface point in R Cable Structure surface point is be carved into the minimal value after sunrise moment next day between 30 minutes the same day at sunrise, Section 6 condition is when obtaining Cable Structure steady temperature data, " Cable Structure thickness direction maximum temperature difference " Δ T tmaxbe not more than 1 degree Celsius, this method utilizes above-mentioned six conditions, any one in following three kinds of moment is called " the mathematics moment obtaining Cable Structure steady temperature data ", the first moment meets the moment of the Section 1 in above-mentioned " condition relevant to the moment determining to obtain Cable Structure steady temperature data " to Section 5 condition, the second moment is moment of the Section 6 condition only met in above-mentioned " condition relevant to determining to obtain moment of Cable Structure steady temperature data ", simultaneously the third moment meets the moment of the Section 1 in above-mentioned " condition relevant to the moment determining to obtain Cable Structure steady temperature data " to Section 6 condition, when the mathematics moment obtaining Cable Structure steady temperature data is exactly one in this method in the physical record data moment, the moment obtaining Cable Structure steady temperature data is exactly the mathematics moment obtaining Cable Structure steady temperature data, if the mathematics moment obtaining Cable Structure steady temperature data is not any one moment in this method in the physical record data moment, then getting this method closest to moment of those physical record data in the mathematics moment obtaining Cable Structure steady temperature data is the moment obtaining Cable Structure steady temperature data, the amount being used in the moment survey record obtaining Cable Structure steady temperature data is carried out Cable Structure relevant health monitoring analysis by this method, this method is similar to thinks that the Cable Structure temperature field in the moment obtaining Cable Structure steady temperature data is in stable state, and namely the Cable Structure temperature in this moment does not change in time, and this moment is exactly " obtaining the moment of Cable Structure steady temperature data " of this method, then, according to Cable Structure heat transfer characteristic, utilize " R the Cable Structure surface temperature measured data " and " HBE Cable Structure is along thickness temperature measured data " in the moment obtaining Cable Structure steady temperature data, utilize the Thermodynamic calculation model of Cable Structure, the Temperature Distribution of the Cable Structure in the moment obtaining Cable Structure steady temperature data is calculated by conventional heat transfer, now the temperature field of Cable Structure calculates by stable state, the temperature profile data of the Cable Structure in the moment in acquisition Cable Structure steady temperature data calculated comprises the accounting temperature of R Cable Structure surface point in Cable Structure, the accounting temperature of R Cable Structure surface point is called that R Cable Structure steady-state surface temperature calculates data, also comprise the accounting temperature of Cable Structure selected HBE " measuring the point of Cable Structure along the temperature profile data of thickness " above, the accounting temperature of HBE " measuring the point of Cable Structure along the temperature profile data of thickness " is called " HBE Cable Structure calculates data along thickness temperature ", when R Cable Structure surface temperature measured data and R Cable Structure steady-state surface temperature calculate data correspondent equal, and when " HBE Cable Structure is along thickness temperature measured data " and " HBE Cable Structure calculates data along thickness temperature " correspondent equal, the temperature profile data of the Cable Structure in the moment in acquisition Cable Structure steady temperature data calculated is called " Cable Structure steady temperature data " in the method, " R Cable Structure surface temperature measured data " is now called " R Cable Structure steady-state surface temperature measured data ", " HBE Cable Structure is along thickness temperature measured data " is called " HBE Cable Structure is along thickness steady temperature measured data ", when the surface of Cable Structure is got " R Cable Structure surface point ", the quantity of " R Cable Structure surface point " must meet three conditions with distribution, first condition is when Cable Structure temperature field is in stable state, when the temperature of Cable Structure any point be on the surface by " R Cable Structure surface point " in obtain with the observed temperature linear interpolation of the Cable Structure point that this arbitrfary point is adjacent on the surface time, the error of the Cable Structure that linear interpolation the obtains temperature of this arbitrfary point and the Cable Structure actual temperature of this arbitrfary point on the surface is on the surface not more than 5%, Cable Structure surface comprises support cable surface, second condition is not less than 4 in the quantity of the point of same sea level elevation in " R Cable Structure surface point ", and uniform along Cable Structure surface at the point of same sea level elevation in " R Cable Structure surface point ", " R Cable Structure surface point " is not more than 0.2 DEG C divided by Δ T along the maximal value Δ h in the absolute value of all differences of the sea level elevation of adjacent Cable Structure surface point between two of sea level elevation hthe numerical value obtained, gets Δ T for convenience of describing hunit be DEG C/m, be m for convenience of describing the unit getting Δ h, " R Cable Structure surface point " along the definition of the adjacent between two Cable Structure surface point of sea level elevation refer to only consider sea level elevation time, in " R Cable Structure surface point ", there is not a Cable Structure surface point, the sea level elevation numerical value of this Cable Structure surface point is between the sea level elevation numerical value of adjacent Cable Structure surface point between two, 3rd condition is inquiry or obtains the rule at sunshine between Cable Structure location and Altitude Region, place by meteorology conventionally calculation, again according to geometric properties and the bearing data of Cable Structure, Cable Structure finds the annual position by sunshine-duration those surface points the most sufficient, in " R Cable Structure surface point ", has at least a Cable Structure surface point to be annual by a point in sunshine-duration the most fully those surface points in Cable Structure,
C. the Cable Structure steady temperature data under original state are obtained according to " the temperature survey calculating method of the Cable Structure of this method " direct survey calculation, Cable Structure steady temperature data under original state are called initial Cable Structure steady temperature data, are designated as " initial Cable Structure steady temperature data vector T o"; Survey or consult reference materials and obtain the temperature variant physical and mechanical properties parameter of the various materials that Cable Structure uses; Initial Cable Structure steady temperature data vector T is obtained in actual measurement osynchronization, direct survey calculation obtains the Initial cable force of all support cables, composition Initial cable force vector F o; Obtain the length of all support cables when free state and Suo Li are 0 according to Cable Structure design data, completion data, in free state time cross-sectional area and in free state time the weight of unit length, and the temperature of all support cables when obtaining these three kinds of data, utilize temperature variant physical function parameter and the mechanical property parameters of all support cables on this basis, conveniently physical computing obtains all support cables at initial Cable Structure steady temperature data vector T othe weight of the unit length of all support cables when the cross-sectional area of all support cables and Suo Li are 0 when the length of all support cables, Suo Li are 0 when Suo Li under condition is 0, form the initial drift vector of support cable, the weight vector of the initial free unit length of initial free cross-sectional area vector sum successively, the coding rule of the element of the initial drift vector of support cable, the weight vector of the initial free unit length of initial free cross-sectional area vector sum and Initial cable force vector F othe coding rule of element identical; T is obtained in actual measurement owhile, namely at the initial Cable Structure steady temperature data vector T of acquisition othe synchronization in moment, direct survey calculation obtains the measured data of initial Cable Structure, and the measured data of initial Cable Structure comprises the Non-destructive Testing Data of the health status expressing support cable, Cable Structure bearing initial angle displacement measurement data, the initial value of all monitored amounts, the Initial cable force data of all support cables, initial Cable Structure modal data, initial Cable Structure strain data, initial Cable Structure geometric data, initial Cable Structure support coordinate data, initial Cable Structure angle-data, initial Cable Structure spatial data; The initial value of all monitored amounts forms monitored amount initial value vector C o, monitored amount initial value vector C othe coding rule of coding rule and M monitored amount identical; Utilization can express the Non-destructive Testing Data of the health status of support cable and Cable Structure bearing initial angle displacement measurement data set up evaluation object initial damage vector d o, vectorial d orepresent with initial mechanical Calculation Basis model A othe initial health of the evaluation object of the Cable Structure represented; Evaluation object initial damage vector d oelement number equal N, d oelement and evaluation object be one-to-one relationship, vectorial d othe coding rule of element identical with the coding rule of evaluation object; If d oevaluation object corresponding to some elements be support cable, so a d in cable system othe numerical value of this element represent the initial damage degree of corresponding support cable, if the numerical value of this element is 0, represent that the support cable corresponding to this element is intact, do not damage, if its numerical value is 100%, then represent that the support cable corresponding to this element completely loses load-bearing capacity, if its numerical value is between 0 and 100%, then represent that this support cable loses the load-bearing capacity of corresponding proportion; If d oevaluation object corresponding to some elements be some angular displacement components of some bearings, so d othe numerical value of this element represent the initial value of this angular displacement component of this bearing; If there is no the Non-destructive Testing Data of support cable and other are when can express the data of the health status of support cable, or can think Cable Structure original state be not damaged without relaxed state time, vectorial d oin each element numerical value relevant to support cable get 0, if when there is no Cable Structure bearing initial angle displacement measurement data or can think that the displacement of Cable Structure bearing initial angle is 0, vectorial d oin each element numerical value relevant to Cable Structure angular displacement of support get 0; Initial Cable Structure support coordinate data refer to the support coordinate data under Cable Structure design point, and Cable Structure bearing initial angle displacement measurement data refer to setting up initial mechanical Calculation Basis model A otime, the angular displacement that Cable Structure bearing occurs relative to the bearing under Cable Structure design point;
Temperature variant physical and mechanical properties parameter, the initial Cable Structure steady temperature data vector T of the various materials d. used according to the measured data of the design drawing of Cable Structure, as-constructed drawing and initial Cable Structure, the Non-destructive Testing Data of support cable, Cable Structure bearing initial angle displacement measurement data, Cable Structure owith all Cable Structure data obtained with preceding step, set up the initial mechanical Calculation Basis model A counting the Cable Structure of " Cable Structure steady temperature data " o, based on A othe Cable Structure that calculates calculates data must closely its measured data, and difference therebetween must not be greater than 5%; Corresponding to A o" Cable Structure steady temperature data " be exactly " initial Cable Structure steady temperature data vector T o"; Corresponding to A oevaluation object health status with evaluation object initial damage vector d orepresent; Corresponding to A othe initial value monitored amount initial value vector C of all monitored amount orepresent; T oand d oa oparameter, by A othe initial value of all monitored amount that obtains of Mechanics Calculation result and C othe initial value of all monitored amount represented is identical, therefore alternatively C oby A omechanics Calculation result composition, A in the method o, C o, d oand T oconstant;
E. in the method, alphabetical i is except representing the place of number of steps significantly, and alphabetical i only represents cycle index, i.e. i-th circulation; I-th circulation needs the current initial mechanical Calculation Basis model of Cable Structure that is that set up or that set up to be designated as current initial mechanical Calculation Basis model A when starting i o, A oand A i ocount temperature parameter, can the Effect on Mechanical Properties of accounting temperature change to Cable Structure; When i-th circulation starts, corresponding to A i o" Cable Structure steady temperature data " with current initial Cable Structure steady temperature data vector T i orepresent, vector T i odefinition mode and vector T odefinition mode identical, T i oelement and T oelement one_to_one corresponding; The current initial damage vector of evaluation object that i-th circulation needs when starting is designated as d i o, d i ocable Structure A when representing that this circulation starts i othe health status of evaluation object, d i odefinition mode and d odefinition mode identical, d i oelement and d oelement one_to_one corresponding; When i-th circulation starts, the initial value of all monitored amounts, with monitored amount current initial value vector C i orepresent, vectorial C i odefinition mode and vectorial C odefinition mode identical, C i oelement and C oelement one_to_one corresponding, monitored amount current initial value vector C i orepresent and correspond to A i othe concrete numerical value of all monitored amount; T i oand d i oa i ocharacterisitic parameter, C i oby A i omechanics Calculation result composition; When first time, circulation started, A i obe designated as A 1 o, set up A 1 omethod for making A 1 oequal A o; When first time, circulation started, T i obe designated as T 1 o, set up T 1 omethod for making T 1 oequal T o; When first time, circulation started, d i obe designated as d 1 o, set up d 1 omethod for making d 1 oequal d o; When first time, circulation started, C i obe designated as C 1 o, set up C 1 omethod for making C 1 oequal C o;
F. from entering the circulation being walked to s step by f here; In Cable Structure military service process, the current data of Cable Structure steady temperature data is obtained, the current data composition current cable structure steady temperature data vector T of all " Cable Structure steady temperature data " according to " the temperature survey calculating method of the Cable Structure of this method " continuous Actual measurement i, vector T idefinition mode and vector T odefinition mode identical, T ielement and T oelement one_to_one corresponding; Vector T is obtained in actual measurement iwhile, actual measurement obtains at acquisition current cable structure steady temperature data vector T imoment synchronization Cable Structure in the currency of all monitored amounts, all these numerical value form monitored amount current value vector C i, vectorial C idefinition mode and vectorial C odefinition mode identical, C ielement and C oelement one_to_one corresponding, represent that identical monitored amount is at not numerical value in the same time; Current cable structure steady temperature data vector T is obtained in actual measurement isynchronization, actual measurement obtain all M in Cable Structure 1the rope force data of root support cable, all these rope force datas composition current cable force vector F, the element of vectorial F and vectorial F othe coding rule of element identical; Current cable structure steady temperature data vector T is obtained in actual measurement isynchronization, Actual measurement obtains all M 1the volume coordinate of two supporting end points of root support cable, the difference of the volume coordinate component in the horizontal direction of two supporting end points is exactly two supporting end points horizontal ranges, two supporting end points horizontal range data of all support cables form current support cable two and support end points horizontal range vector, and current support cable two supports coding rule and the Initial cable force vector F of the element of end points horizontal range vector othe coding rule of element identical;
G. according to current cable structure steady temperature data vector T i, upgrade current initial mechanical Calculation Basis model A according to step g 1 to g3 i o, monitored amount current initial value vector C i owith current initial Cable Structure steady temperature data vector T i o, and evaluation object current initial damage vector d i oremain unchanged;
G1. T is compared iwith T i oif, T iequal T i o, then A i o, C i oand T i oremain unchanged; Otherwise need to follow these steps to A i oand T i oupgrade;
G2. T is calculated iwith T odifference, T iwith T odifference be exactly the changes of current cable structure steady temperature data about initial Cable Structure steady temperature data, T iwith T odifference represent with steady temperature change vector S, S equals T ideduct T o, S represents the change of Cable Structure steady temperature data;
G3. to A oin Cable Structure apply temperature variation, the numerical value of the temperature variation of applying just takes from steady temperature change vector S, to A oin Cable Structure apply temperature variation after obtain upgrade current initial mechanical Calculation Basis model A i o, upgrade A i owhile, T i oall elements numerical value also uses T iall elements numerical value correspondence replace, namely have updated T i o, so just obtain and correctly correspond to A i ot i o; Now d i oremain unchanged; As renewal A i oafter, A i othe health status evaluation object of rope current initial damage vector d i orepresent, A i ocable Structure steady temperature current cable structure steady temperature data vector T irepresent, upgrade C i omethod be: when renewal A i oafter, obtain A by Mechanics Calculation i oin all monitored amounts, current concrete numerical value, these concrete numerical value composition C i o;
H. at current initial mechanical Calculation Basis model A i obasis on, carry out several times Mechanics Calculation according to step h1 to step h4, by calculate set up unit damage monitored numerical quantity unit change matrix Δ C iwith unit damage or unit angular displacement vector D i u;
H1., when i-th circulation starts, directly Δ C is obtained by method listed by step h2 to step h4 iand D i u; In other moment, when in step g to A i oafter upgrading, Δ C must be regained by method listed by step h2 to step h4 iand D i uif, not to A in step g i oupgrade, then directly proceed to step I herein and carry out follow-up work;
H2. at the current initial mechanical Calculation Basis model A of Cable Structure i obasis on carry out several times Mechanics Calculation, calculation times numerically equals the quantity N of all evaluation objects, has N number of evaluation object just to have N calculating; According to the coding rule of evaluation object, calculate successively; Calculating hypothesis each time only has an evaluation object to increase unit damage or unit angular displacement again on the basis of original damage or angular displacement, concrete, if this evaluation object is a support cable in cable system, so just suppose that this support cable increases unit damage again, if this evaluation object is the angular displacement component in a direction of a bearing, just suppose that this bearing increases unit angular displacement again at this sense of displacement, use D i ukrecord unit damage or the unit angular displacement of this increase, wherein k represents the numbering of the evaluation object increasing unit damage or unit angular displacement, D i ukunit damage or unit angular displacement vector D i uan element, unit damage or unit angular displacement vector D i uthe coding rule of element and vectorial d othe coding rule of element identical; The evaluation object increasing unit damage or unit angular displacement in calculating each time is again different from during other time calculates the evaluation object increasing unit damage or unit angular displacement again, calculate the current calculated value all utilizing mechanics method to calculate all monitored amount of Cable Structure each time, the current calculated value of all monitored amount calculated each time forms a monitored amount calculation current vector; When supposing that a kth evaluation object increases unit damage or unit angular displacement again, use C i tkrepresent corresponding " monitored amount calculation current vector "; When giving the element number of each vector in this step, same coding rule should be used with other vector in this method, to ensure any one element in this step in each vector, with in other vector, number identical element, have expressed the relevant information of same monitored amount or same target; C i tkdefinition mode and vectorial C odefinition mode identical, C i tkelement and C oelement one_to_one corresponding;
H3. the vectorial C calculated each time i tkdeduct vectorial C i oobtain a vector, then after each element of this vector is calculated divided by this unit damage or unit angular displacement numerical value supposed, obtain " unit change vector δ a C for monitored amount i k"; N number of evaluation object is had just to have N number of " the unit change vector of monitored amount ";
H4. by this is N number of " the unit change vector of monitored amount " according to the coding rule of N number of evaluation object, " the unit damage monitored numerical quantity unit change matrix Δ C having N to arrange is formed successively i"; Unit damage monitored numerical quantity unit change matrix Δ C ieach row correspond to a monitored amount unit change vector; Unit damage monitored numerical quantity unit change matrix Δ C ievery a line correspond to the different unit change amplitude of same monitored amount when different evaluation object increases unit damage or unit angular displacement; Unit damage monitored numerical quantity unit change matrix Δ C ithe coding rule of row and vectorial d othe coding rule of element identical, unit damage monitored numerical quantity unit change matrix Δ C ithe coding rule of coding rule and M monitored amount of row identical;
I. current nominal fatigue vector d is defined i cwith current actual damage vector d i, d i cand d ielement number equal the quantity of support cable, d i cand d ielement and evaluation object between be one-to-one relationship, d i cand d ielement numerical value represent degree of injury or the health status of corresponding evaluation object, d i cand d iwith evaluation object initial damage vector d oelement number rule identical, d i celement, d ielement and d oelement be one-to-one relationship;
J. according to monitored amount current value vector C iwith " monitored amount current initial value vector C i o", " unit damage monitored numerical quantity unit change matrix Δ C i" and " current nominal fatigue vector d i c" between the linear approximate relationship that exists, this linear approximate relationship can be expressed as formula 1, except d in formula 1 i cother outer amount is known, solves formula 1 and just can calculate current nominal fatigue vector d i c;
C i = C o i + Δ C i · d c i Formula 1
K. the current actual damage vector d utilizing formula 2 to express ia kth element d i kwith evaluation object current initial damage vector d i oa kth element d i okwith current nominal fatigue vector d i ca kth element d i ckbetween relation, calculate current actual damage vector d iall elements;
formula 2
K=1 in formula 2,2,3 ..., N; d i krepresent the current actual health status of a kth evaluation object in i-th circulation, d i krepresent when being 0 that a kth evaluation object is without health problem, d i knumerical value represents when not being 0 that a kth evaluation object is the evaluation object of unsoundness problem, if this evaluation object is support cable, so a d in cable system i krepresent the order of severity of its current health problem, the support cable of unsoundness problem may be slack line, also may be damaged cable, d i kthe degree of the lax or damage of this support cable of numerical response, if this evaluation object is angular displacement component, so a d of a bearing i krepresent its current actual displacement angle numerical value; So according to evaluation object current actual damage vector d iwhich support cable unsoundness problem and order of severity thereof can be defined, define which bearing and there occurs angular displacement and numerical value thereof;
L. by current for evaluation object actual damage vector d iin with M 1the M that root support cable is relevant 1individual element takes out, composition support cable current actual damage vector d ca, support cable current actual damage vector d cathe coding rule of element and Initial cable force vector F othe coding rule of element identical; Support cable current actual damage vector d cah element representation Cable Structure in the current actual damage amount of h root support cable, h=1,2,3 ...., M 1; Support cable current actual damage vector d camiddle numerical value be not 0 element correspond to the support cable of unsoundness problem, from the support cable of these unsoundness problems, identify damaged cable, remaining is exactly slack line, support cable current actual damage vector d cain correspond to slack line element numerical expression be the current actual equivalent damage degree with slack line relax level mechanic equivalent;
M. utilize at current cable structure steady temperature data vector T iunder condition, walk the slack line that identifies and with support cable current actual damage vector d at l cathese slack lines of expressing, with the current actual equivalent damage degree of its relax level mechanic equivalent, utilize f step obtain at current cable structure steady temperature data vector T icurrent cable force vector F under condition and current support cable two support end points horizontal range vector, utilize c step obtain at initial Cable Structure steady temperature data vector T othe initial drift vector of the support cable under condition, the weight vector of the initial free unit length of initial free cross-sectional area vector sum, the vectorial F of Initial cable force o, utilize current cable structure steady temperature data vector T trepresent support cable current steady state temperature data, utilize c step obtain at initial Cable Structure steady temperature data vector T othe support cable initial steady state temperature data represented, the temperature variant physical and mechanical properties parameter of the various materials utilizing the Cable Structure obtained in c step to use, count the impact of temperature variation on support cable physics, mechanics and geometric parameter, by by slack line with damaged cable carry out mechanic equivalent calculate slack line, with the relax level of current actual equivalent damage degree equivalence, the mechanical condition of equivalence is: one, two equivalences rope without lax identical with the mechanics parameters of initial drift during not damaged, geometrical property parameter, density and material; Two, after lax or damage, the slack line of two equivalences and the Suo Li of damage rope be out of shape after overall length identical; When meeting above-mentioned two equivalent conditions, the such mechanics function of two support cables in Cable Structure is exactly identical, if after namely replacing damaged cable with the slack line of equivalence, any change can not occur Cable Structure, and vice versa; Try to achieve according to aforementioned mechanic equivalent condition the relax level that those are judged as slack line, relax level is exactly the knots modification of support cable drift, namely determines the long adjustment amount of those ropes that need adjust the support cable of Suo Li; So just achieve lax identification and the non-destructive tests of support cable; During calculating, institute's demand power is provided by current cable force vector F corresponding element;
N. current nominal fatigue vector d is tried to achieve i cafter, set up mark vector B according to formula 3 i, formula 4 gives mark vector B ithe definition of a kth element;
B i = B 1 i B 2 i . . . B k i . . . B N i T Formula 3
formula 4
Element B in formula 4 i kmark vector B ia kth element, D i ukunit damage or unit angular displacement vector D i ua kth element, d i ckevaluation object current nominal fatigue vector d i ca kth element, they all represent the relevant information of a kth evaluation object, k=1 in formula 4,2,3 ..., N;
If o. mark vector B ielement be 0 entirely, then get back to step f continue this circulation; If mark vector B ielement be not 0 entirely, then enter next step, i.e. step p;
P. calculate next time according to formula 5, evaluation object current initial damage vector d namely needed for the i-th+1 time circulation i+1 oeach element;
formula 5
D in formula 5 i+1 okthe evaluation object current initial damage vector d next time, namely needed for the i-th+1 time circulation i+1 oa kth element, d i okthis, i.e. the evaluation object of i-th circulation current initial damage vector d i oa kth element, D i ukunit damage or the unit angular displacement vector D of i-th circulation i ua kth element, B i kthe mark vector B of i-th circulation ia kth element, k=1 in formula 5,2,3 ..., N;
Q. take off once, namely the i-th+1 time circulation needed for current initial Cable Structure steady temperature data vector T i+1 oequal the current initial Cable Structure steady temperature data vector T of i-th circulation i o;
R. at initial mechanical Calculation Basis model A obasis on, to A oin Cable Structure apply temperature variation, the numerical value of the temperature variation of applying just takes from steady temperature change vector S, then makes the health status of rope be d i+1 oafter obtain be exactly next time, namely the i-th+1 time circulation needed for Mechanics Calculation benchmark model A i+1; Obtain A i+1after, obtain A by Mechanics Calculation i+1in all monitored amounts, current concrete numerical value, these the monitored amounts of concrete numerical value composition next time, namely needed for the i-th+1 time circulation current initial value vector C i+1 o;
S. get back to step f, start to circulate next time.
Beneficial effect: when the temperature field of Cable Structure is subject to affecting of the factor such as sunshine and environment temperature, the temperature field of Cable Structure is constantly change, the change of temperature field of Cable Structure must affect the monitored amount of Cable Structure, only have and monitored amount is rejected could carry out rational cable structure health monitoring based on monitored amount by temperature profile effect part, and the temperature field measurement of Cable Structure and calculating are very complicated, this method discloses to comprise and is a kind ofly suitable for the simple of cable structure health monitoring, economical, feasible, the cable structure health monitoring method of efficient Cable Structure Calculation Method of Temperature Field, adopt this method when angular displacement appears in Cable Structure bearing, when many ropes of Cable Structure are synchronously impaired or lax, and the temperature of Cable Structure along with time variations time, disclose a kind of employing linear segmented and approach non-linear method, very monitor assessment can identify damaged cable, slack line and angular displacement of support, the effective health monitoring of system and method disclosed in this method to Cable Structure is highly profitable.
Embodiment
When temperature variation, for damaged cable and the angular displacement of support identification of Cable Structure, this method discloses a kind of system and method can monitoring the health status identifying each evaluation object in Cable Structure rationally and effectively.The following describes of embodiment of this method is in fact only exemplary, and object is never the application or the use that limit this method.
This method adopts a kind of algorithm, and this algorithm is for identifying damaged cable, slack line and angular displacement of support.During concrete enforcement, the following step is the one in the various steps that can take.
The first step: set the quantity sum of the quantity of the support cable of Cable Structure and the angular displacement of support component of Cable Structure as N.For sake of convenience, this method unitedly calls evaluated support cable and angular displacement of support to be " evaluation object ", total N number of evaluation object.To evaluation object serial number, this numbering will be used for generating vector sum matrix in subsequent step, and this method variable k represents this numbering, k=1, and 2,3 ..., N.
If total M in cable system 1root support cable, Cable Structure rope force data comprises this M 1the Suo Li of root support cable, obvious M 1be less than the quantity N of evaluation object.
Specify when determining hybrid monitoring by the support cable of monitored Suo Li, the monitored rope force data of Cable Structure specifies Q rope force data of support cable to describe by Q in Cable Structure, and the change of Cable Structure Suo Li is exactly the change of the Suo Li of all appointment support cables.Each total Q cable force measurement value or calculated value characterize the rope force information of Cable Structure.Q is one and is not less than 0, is not more than M 1integer.When reality selectes the rope of monitored Suo Li, the rope that those Suo Li can be selected to be easy to measure is monitored rope.
Specify when determining hybrid monitoring by the measured point of monitored strain, the monitored strain data of Cable Structure can by K in Cable Structure 2the L of individual specified point and each specified point 2the strain of individual assigned direction describes, and the change of Cable Structure strain data is exactly K 2the change of all tested strain of individual specified point.Each total M 2individual strain measurement value or calculated value characterize Cable Structure strain, M 2for K 2and L 2long-pending.M 2it is an integer being not less than 0.The measured point of monitored strain can be exactly a point near the fixed endpoint (being such as the stiff end of drag-line on bridge of cable-stayed bridge) of each root support cable by each, this specified point can also be a point near Cable Structure bearing, this point should not be generally stress concentration point, to avoid occurring excessive strain measurement value, the fixed endpoint of the rope of the monitored Suo Li specified when these points should not be also generally all hybrid monitorings or in its vicinity.
Specify when determining hybrid monitoring by the measured point of monitored angle, the monitored angle-data of Cable Structure is by K in Cable Structure 3individual specified point, cross the L of each specified point 3the H of individual appointment straight line, each appointment straight line 3individual angle coordinate component describes, and the change of Cable Structure angle is exactly the change of all specified points, all appointment straight line, all angle coordinate component of specifying.Each total M 3individual angle coordinate component measurement value or calculated value characterize the angle information of Cable Structure, M 3for K 3, L 3and H 3long-pending.M 3it is an integer being not less than 0.Each specified point can be exactly the fixed endpoint (being such as the stiff end of drag-line on bridge floor of cable-stayed bridge) of each root support cable or a point near it, this specified point can also be a point near Cable Structure bearing, and the point of monitored angle-data generally should all not be chosen as " fixed endpoint of the rope of the monitored Suo Li specified in hybrid monitoring or point in its vicinity " and " point of the monitored strain of specifying in hybrid monitoring or point in its vicinity "; Only can measure one at each specified point and specify an angle coordinate of straight line, such as measuring the Cable Structure surface normal of specified point or the tangent line angle coordinate relative to acceleration of gravity direction, is in fact exactly measurement of dip angle here.
Specify when determining hybrid monitoring by monitored shape data, the monitored shape data of Cable Structure is by K in Cable Structure 4the L of individual specified point and each specified point 4the volume coordinate of individual assigned direction describes, and the change of Cable Structure shape data is exactly K 4the change of all coordinate components of individual specified point.Each total M 4individual coordinates measurements or calculated value characterize Cable Structure shape, M 4for K 4and L 4long-pending.M 4it is an integer being not less than 0.Each specified point can be exactly the fixed endpoint (being such as the stiff end of drag-line on bridge of cable-stayed bridge) of each root support cable, and this specified point can also be a point near Cable Structure bearing, or is exactly directly Cable Structure seat pivot; Here selected point being monitored should all not selected " fixed endpoint of the rope of the monitored Suo Li specified in hybrid monitoring or point in its vicinity ", " point of the monitored strain of specifying in hybrid monitoring or point in its vicinity " and " point of the monitored angle-data of specifying in hybrid monitoring or point in its vicinity ".
Comprehensive above-mentioned monitored amount, whole Cable Structure is total M monitored amount with regard to hybrid monitoring, and M is Q, M 2, M 3and M 4sum, definition parameter K, K is Q, K 2, K 3and K 4sum, K and M must not be less than the quantity N of evaluation object.Because M monitored amount is dissimilar, so this method is called " during temperature variation the damaged cable of hybrid monitoring and support translation identification method ".For simplicity, in the method by monitored all parameters of Cable Structure " during the hybrid monitoring " listed by this step referred to as " monitored amount ".To M monitored amount serial number, this numbering will be used for generating vector sum matrix in subsequent step.This method represents this numbering, j=1,2,3 with variable j ..., M.
Determine " the temperature survey calculating method of the Cable Structure of this method ", the method concrete steps are as follows:
A walks: inquiry or actual measurement (can be measured by ordinary temperature measuring method, thermal resistance is such as used to measure) obtain the temperature variant thermal conduction study parameter of environment residing for Cable Structure composition material and Cable Structure, utilize the geometry measured data of the design drawing of Cable Structure, as-constructed drawing and Cable Structure, utilize these data and parameter to set up the Thermodynamic calculation model (such as finite element model) of Cable Structure.Inquiry Cable Structure location is no less than the meteorological data in recent years of 2 years, the statistics cloudy quantity obtained is during this period of time designated as T cloudy day, statistics obtains 0 highest temperature after sunrise moment next day between 30 minutes and the lowest temperature at each cloudy day in T cloudy day, the sunrise moment refers to the sunrise moment on the meteorology that base area revolutions and revolution rule are determined, data can be inquired about or calculated sunrise moment of each required day by conventional meteorology, 0 highest temperature after sunrise moment next day between 30 minutes at each cloudy day deducts the maximum temperature difference that the lowest temperature is called the daily temperature at this cloudy day, there is T cloudy day, just there is the maximum temperature difference of the daily temperature at T cloudy day, the maximal value of getting in the maximum temperature difference of the daily temperature at T cloudy day is reference temperature difference per day, Δ T is designated as with reference to temperature difference per day r, be no less than between inquiry Cable Structure location and Altitude Region, place temperature that the meteorological data in recent years of 2 years or actual measurement obtain environment residing for Cable Structure in time with delta data and the Changing Pattern of sea level elevation, calculate to be no less than 2 years between Cable Structure location and Altitude Region, place Cable Structure in recent years residing for the temperature of environment about the maximum rate of change Δ T of sea level elevation h, get Δ T for convenience of describing hunit be DEG C/m, the surface of Cable Structure is got " R Cable Structure surface point ", the Specific Principles getting " R Cable Structure surface point " describes in step b3, the temperature of this R Cable Structure surface point will be obtained below by actual observation record, claiming to survey the temperature data obtained is " R Cable Structure surface temperature measured data ", if utilize the Thermodynamic calculation model of Cable Structure, obtained the temperature of this R Cable Structure surface point by Calculation of Heat Transfer, just claim the temperature data that calculates for " R Cable Structure land surface pyrometer count certificate ".From the minimum height above sea level residing for Cable Structure to most High aititude, in Cable Structure, uniform choosing is no less than three different sea level elevations, if the sea level elevation of such as Cable Structure is between 0m to 200m, so can choose height above sea level 0m, 50m, 100m and height above sea level 200m, crossing with Cable Structure surface with imaginary surface level at the sea level elevation place that each is chosen, obtain intersection, surface level is crossing with Cable Structure obtains cross surface, intersection is the outer edge line of cross surface, 6 points are chosen at the intersection place on surface level and Cable Structure surface, from the outer normal of selected point straw line body structure surface, all outer normal directions chosen are called " measuring the direction of Cable Structure along the Temperature Distribution of wall thickness ", measure Cable Structure crossing with " intersection on surface level and Cable Structure surface " along the direction of the Temperature Distribution of wall thickness.In 6 directions of the measurement Cable Structure chosen along the Temperature Distribution of wall thickness, first according to the meteorological data throughout the year in region, Cable Structure position and the physical dimension of Cable Structure, volume coordinate, Cable Structure surrounding environment etc. determines the sunny slope of Cable Structure and in the shade, the sunny slope of Cable Structure and in the shade face are the parts on the surface of Cable Structure, at the sea level elevation place that each is chosen, aforementioned intersection respectively has one section in sunny slope and in the shade, these two sections of intersection respectively have a mid point, cross the outer normal that these two mid points get Cable Structure, these two outer normals are called the sunny slope outer normal of Cable Structure and in the shade outer normal of Cable Structure by this method, these two outer normal directions are called the sunny slope outer normal direction of Cable Structure and in the shade outer normal direction of Cable Structure by this method, the outer normal of obvious sunny slope and the outer normal of in the shade all crossing with aforementioned intersection, also two intersection points are just had, intersection is divided into two line segments by these two intersection points, 2 points are got respectively on two line segments, totally 4 points, each line segment in two of intersection line segments is divided into equal 3 sections of length by taken point, the outer normal on Cable Structure surface is got at these 4 some places, the outer normal on 6 Cable Structure surfaces is just have chosen so altogether at each selected sea level elevation place, the direction of 6 outer normals is exactly " measuring the direction of Cable Structure along the Temperature Distribution of wall thickness ".There are two intersection points on the surface of each " measures the direction of Cable Structure along the Temperature Distribution of wall thickness " line and Cable Structure, if Cable Structure is hollow, these, two intersection points are on Cable Structure outside surface, another on an internal surface, if Cable Structure is solid, these two intersection points are all on Cable Structure outside surface, connect these two intersection points and obtain a straight-line segment, straight-line segment is chosen three points again, this straight-line segment is divided into four sections by these three points, measure two end points of Cable Structure at these three points chosen and straight-line segment, amount to the temperature of 5 points, concrete can first hole in Cable Structure, temperature sensor is embedded in this 5 some places, especially, can not hole in support cable, support cable is only measured to the temperature of support cable surface point, in any case, the temperature recorded all is called this place " Cable Structure is along the temperature profile data of thickness ", wherein along crossing with same " intersection on surface level and Cable Structure surface ", " measure the direction of Cable Structure along the Temperature Distribution of wall thickness " to measure " Cable Structure is along the temperature profile data of thickness " that obtain, be called in the method " identical sea level elevation Cable Structure is along the temperature profile data of thickness ".If have chosen the individual different sea level elevation of H, at each sea level elevation place, have chosen B and measure the direction of Cable Structure along the Temperature Distribution of wall thickness, in Cable Structure, E point is have chosen along each measurement Cable Structure along the direction of the Temperature Distribution of wall thickness, wherein H and E is not less than 3, B is not less than 2, especially, 1 is equaled for support cable E, what meter Cable Structure " measured the point of Cable Structure along the temperature profile data of thickness " adds up to HBE, the temperature of this HBE " measuring the point of Cable Structure along the temperature profile data of thickness " will be obtained below by actual measurement, claiming to survey the temperature data obtained is " HBE Cable Structure is along thickness temperature measured data ", if utilize the Thermodynamic calculation model of Cable Structure, obtain this HBE by Calculation of Heat Transfer and measure the temperature of Cable Structure along the point of the temperature profile data of thickness, the temperature data calculated just is claimed to be " HBE Cable Structure calculates data along thickness temperature ", the number temperature profile data at sea level elevation place " identical sea level elevation Cable Structure is along the temperature profile data of thickness " will chosen at each in this method ".Measuring temperature in Cable Structure location according to meteorology to require to choose a position, meeting obtaining in this position actual observation record the temperature that meteorology measures the Cable Structure place environment of temperature requirement, in the on-site spaciousness of Cable Structure, unobstructed place chooses a position, this position should each of the whole year day can obtain this ground the most sufficient sunshine of this day getable (as long as there was sunrise the same day, this position just should by sunlight), at the flat board (square plate that the wide 3mm of such as 30cm is thick) of this position of sound production one piece of carbon steel material (such as No. 45 carbon steels), be called reference plate, reference plate can not contact with ground, reference plate overhead distance is not less than 1.5 meters, reference plate can be placed in and meet the top that meteorology temperature measures the wooden thermometer screen required, the one side of this reference plate on the sunny side, be called that sunny slope (such as, time on the Northern Hemisphere, sunny slope faces up towards south, full daytime is all by sunshine, sunny slope should have the suitable gradient to make snow can not accumulate or clear up sunny slope after snow), the sunny slope of reference plate is coarse with dark color (being conducive to accepting solar irradiation), the sunny slope of reference plate should each of the whole year day can obtain one flat plate on this ground the most sufficient sunshine of this day getable, the non-sunny slope of reference plate is covered with insulation material (the thick calcium carbonate insulation material of such as 5mm), Real-Time Monitoring record is obtained the temperature of the sunny slope of reference plate.
B walks, Real-Time Monitoring (can be measured by ordinary temperature measuring method, thermal resistance is such as used to measure, such as every 10 minutes survey records temperature data) record R the Cable Structure surface temperature measured data obtaining above-mentioned R Cable Structure surface point, Real-Time Monitoring (can be measured by ordinary temperature measuring method simultaneously, thermal resistance is such as used to measure, such as every 10 minutes survey records temperature data) obtain the temperature profile data of previously defined Cable Structure along thickness, Real-Time Monitoring (can be measured by ordinary temperature measuring method simultaneously, such as in the wooden thermometer screen meeting meteorology temperature measurement requirement, lay thermal resistance and measure temperature, such as every 10 minutes survey records temperature data) record the temperature record obtaining the Cable Structure place environment meeting the requirement of meteorology measurement temperature, (can be measured by ordinary temperature measuring method by Real-Time Monitoring, such as in the wooden thermometer screen meeting meteorology temperature measurement requirement, lay thermal resistance and measure temperature, such as every 10 minutes survey records temperature data) record obtains being carved at sunrise the temperature measured data sequence of the Cable Structure place environment after sunrise moment next day between 30 minutes the same day, the temperature measured data sequence of Cable Structure place environment is arranged according to time order and function order by the temperature measured data of the Cable Structure place environment after being carved into the sunrise moment next day same day at sunrise between 30 minutes, find the maximum temperature in the temperature measured data sequence of Cable Structure place environment and minimum temperature, the maximum temperature difference be carved at sunrise on same day that minimum temperature obtains Cable Structure place environment after sunrise moment next day between 30 minutes is deducted by the maximum temperature in the temperature measured data sequence of Cable Structure place environment, be designated as Δ T emax, (such as first the temperature measured data sequence of Cable Structure place environment is carried out curve fitting by Conventional mathematical calculating by the temperature measured data sequence of Cable Structure place environment, then by asking curve to the derivative of time or by asking on curve each point corresponding to survey record data time by numerical method to the rate of change of time) obtain the rate of change of temperature about the time of Cable Structure place environment, this rate of change is also along with time variations, (can be measured by ordinary temperature measuring method by Real-Time Monitoring, such as use the temperature of the dull and stereotyped sunny slope of thermal resistance witness mark, such as every 10 minutes survey records temperature data) obtain being carved at sunrise the same day measured data sequence of the temperature of the sunny slope of the reference plate after sunrise moment next day between 30 minutes, the measured data sequence of the temperature of the sunny slope of reference plate is arranged according to time order and function order by the measured data of the temperature of the sunny slope of the reference plate after being carved into the sunrise moment next day same day at sunrise between 30 minutes, find the maximum temperature in the measured data sequence of the temperature of the sunny slope of reference plate and minimum temperature, the maximum temperature difference be carved at sunrise on same day that minimum temperature obtains the temperature of the sunny slope of reference plate after sunrise moment next day between 30 minutes is deducted by the maximum temperature in the measured data sequence of the temperature of the sunny slope of reference plate, be designated as Δ T pmax, (can be measured by ordinary temperature measuring method by Real-Time Monitoring, thermal resistance is such as used to measure Cable Structure surface point, such as every 10 minutes survey records temperature data) record obtains being carved at sunrise the Cable Structure surface temperature measured data sequence of all R Cable Structure surface points after sunrise moment next day between 30 minutes the same day, R Cable Structure surface point is had just to have R Cable Structure surface temperature measured data sequence, each Cable Structure surface temperature measured data sequence is arranged according to time order and function order by the Cable Structure surface temperature measured data after being carved into the sunrise moment next day same day of a Cable Structure surface point at sunrise between 30 minutes, find the maximum temperature in each Cable Structure surface temperature measured data sequence and minimum temperature, the maximum temperature difference be carved at sunrise on same day that minimum temperature obtains the temperature of each Cable Structure surface point after sunrise moment next day between 30 minutes is deducted by the maximum temperature in each Cable Structure surface temperature measured data sequence, there is R Cable Structure surface point just to have to be carved at sunrise R the same day maximum temperature difference numerical value between 30 minutes after sunrise moment next day, maximal value is wherein designated as Δ T smax, (such as first each Cable Structure surface temperature measured data sequence is carried out curve fitting by Conventional mathematical calculating by each Cable Structure surface temperature measured data sequence, then by asking curve to the derivative of time or by asking on curve each point corresponding to survey record data time by numerical method to the rate of change of time) obtain the rate of change of temperature about the time of each Cable Structure surface point, the temperature of each Cable Structure surface point about the rate of change of time also along with time variations.Obtain being carved at sunrise the same day after sunrise moment next day between 30 minutes by Real-Time Monitoring, at synchronization, after HBE " Cable Structure is along the temperature profile data of thickness ", calculate the difference amounting to maximum temperature in BE " identical sea level elevation Cable Structure is along the temperature profile data of thickness " and minimum temperature at the sea level elevation place that each is chosen, the absolute value of this difference is called " identical sea level elevation place Cable Structure thickness direction maximum temperature difference ", have chosen H different sea level elevation just to have H " identical sea level elevation place Cable Structure thickness direction maximum temperature difference ", the maximal value in this H " identical sea level elevation place Cable Structure thickness direction maximum temperature difference " is claimed to be " Cable Structure thickness direction maximum temperature difference ", be designated as Δ T tmax.
C walks, and survey calculation obtains Cable Structure steady temperature data; First, determine the moment obtaining Cable Structure steady temperature data, the condition relevant to the moment determining to obtain Cable Structure steady temperature data has six, Section 1 condition is moment of obtaining Cable Structure steady temperature data between after being carved into sunrise moment next day at sunset between 30 minutes on same day, the sunset moment refers to the sunset moment on base area revolutions and the meteorology determined of revolution rule, can inquire about data or be calculated sunset moment of each required day by conventional meteorology; The a condition of Section 2 condition be after being carved into sunrise moment next day at sunrise between 30 minutes on same day during this period of time in, Δ T pmaxwith Δ T smaxall be not more than 5 degrees Celsius; The b condition that Section 2 must meet be after being carved into sunrise moment next day at sunrise between 30 minutes on same day during this period of time in, the Δ T that survey calculation obtains above emaxbe not more than with reference to temperature difference per day Δ T r, and the Δ T that survey calculation obtains above pmaxdeduct 2 degrees Celsius and be not more than Δ T emax, and the Δ T that survey calculation obtains above smaxbe not more than Δ T pmax; One of only need meet in a condition of Section 2 and b condition is just called and meets Section 2 condition; Section 3 condition is when obtaining Cable Structure steady temperature data, and the temperature of Cable Structure place environment is not more than 0.1 degree Celsius per hour about the absolute value of the rate of change of time; Section 4 condition is when obtaining Cable Structure steady temperature data, and the temperature of each the Cable Structure surface point in R Cable Structure surface point is not more than 0.1 degree Celsius per hour about the absolute value of the rate of change of time; Section 5 condition is when obtaining Cable Structure steady temperature data, and the Cable Structure surface temperature measured data of each the Cable Structure surface point in R Cable Structure surface point is be carved into the minimal value after sunrise moment next day between 30 minutes the same day at sunrise; Section 6 condition is when obtaining Cable Structure steady temperature data, " Cable Structure thickness direction maximum temperature difference " Δ T tmaxbe not more than 1 degree Celsius.This method utilizes above-mentioned six conditions, any one in following three kinds of moment is called " the mathematics moment obtaining Cable Structure steady temperature data ", the first moment meets the moment of the Section 1 in above-mentioned " condition relevant to the moment determining to obtain Cable Structure steady temperature data " to Section 5 condition, the second moment is moment of the Section 6 condition only met in above-mentioned " condition relevant to determining to obtain moment of Cable Structure steady temperature data ", simultaneously the third moment meets the moment of the Section 1 in above-mentioned " condition relevant to the moment determining to obtain Cable Structure steady temperature data " to Section 6 condition, when the mathematics moment obtaining Cable Structure steady temperature data is exactly one in this method in the physical record data moment, the moment obtaining Cable Structure steady temperature data is exactly the mathematics moment obtaining Cable Structure steady temperature data, if the mathematics moment obtaining Cable Structure steady temperature data is not any one moment in this method in the physical record data moment, then getting this method closest to moment of those physical record data in the mathematics moment obtaining Cable Structure steady temperature data is the moment obtaining Cable Structure steady temperature data, the amount being used in the moment survey record obtaining Cable Structure steady temperature data is carried out Cable Structure relevant health monitoring analysis by this method, this method is similar to thinks that the Cable Structure temperature field in the moment obtaining Cable Structure steady temperature data is in stable state, and namely the Cable Structure temperature in this moment does not change in time, and this moment is exactly moment of the acquisition Cable Structure steady temperature data of this method, then, according to Cable Structure heat transfer characteristic, utilize R Cable Structure surface temperature measured data and " HBE Cable Structure is along the thickness temperature measured data " in the moment obtaining Cable Structure steady temperature data, utilize the Thermodynamic calculation model (such as finite element model) of Cable Structure, the Temperature Distribution that (such as finite element method) obtains the Cable Structure in the moment obtaining Cable Structure steady temperature data is calculated by conventional heat transfer, now the temperature field of Cable Structure calculates by stable state, the temperature profile data of the Cable Structure in the moment in acquisition Cable Structure steady temperature data calculated comprises the accounting temperature of R Cable Structure surface point in Cable Structure, the accounting temperature of R Cable Structure surface point is called that R Cable Structure steady-state surface temperature calculates data, also comprise the accounting temperature of Cable Structure selected HBE " measuring the point of Cable Structure along the temperature profile data of thickness " above, the accounting temperature of HBE " measuring the point of Cable Structure along the temperature profile data of thickness " is called " HBE Cable Structure calculates data along thickness temperature ", when R Cable Structure surface temperature measured data and R Cable Structure steady-state surface temperature calculate data correspondent equal, and when " HBE Cable Structure is along thickness temperature measured data " and " HBE Cable Structure calculates data along thickness temperature " correspondent equal, the temperature profile data of the Cable Structure in the moment in acquisition Cable Structure steady temperature data calculated is called " Cable Structure steady temperature data " in the method, " R Cable Structure surface temperature measured data " is now called " R Cable Structure steady-state surface temperature measured data ", " HBE Cable Structure is along thickness temperature measured data " is called " HBE Cable Structure is along thickness steady temperature measured data ".When the surface of Cable Structure is got " R Cable Structure surface point ", the quantity of " R Cable Structure surface point " must meet three conditions with distribution, first condition is when Cable Structure temperature field is in stable state, when the temperature of Cable Structure any point be on the surface by " R Cable Structure surface point " in obtain with the observed temperature linear interpolation of the Cable Structure point that this arbitrfary point is adjacent on the surface time, the error of the Cable Structure that linear interpolation the obtains temperature of this arbitrfary point and the Cable Structure actual temperature of this arbitrfary point on the surface is on the surface not more than 5%; Cable Structure surface comprises support cable surface; Second condition is not less than 4 in the quantity of the point of same sea level elevation in " R Cable Structure surface point ", and uniform along Cable Structure surface at the point of same sea level elevation in " R Cable Structure surface point "; " R Cable Structure surface point " is not more than 0.2 DEG C divided by Δ T along the maximal value Δ h in the absolute value of all differences of the sea level elevation of adjacent Cable Structure surface point between two of sea level elevation hthe numerical value obtained, gets Δ T for convenience of describing hunit be DEG C/m, be m for convenience of describing the unit getting Δ h; " R Cable Structure surface point " along the definition of the adjacent between two Cable Structure surface point of sea level elevation refer to only consider sea level elevation time, in " R Cable Structure surface point ", there is not a Cable Structure surface point, the sea level elevation numerical value of this Cable Structure surface point is between the sea level elevation numerical value of adjacent Cable Structure surface point between two; 3rd condition is inquiry or obtains the rule at sunshine between Cable Structure location and Altitude Region, place by meteorology conventionally calculation, again according to geometric properties and the bearing data of Cable Structure, Cable Structure finds the annual position by sunshine-duration those surface points the most sufficient, in " R Cable Structure surface point ", has at least a Cable Structure surface point to be annual by a point in sunshine-duration the most fully those surface points in Cable Structure.
Second step: set up initial mechanical Calculation Basis model A o.
When Cable Structure is completed, or before setting up health monitoring (damaged cable identification) system, obtain " Cable Structure steady temperature data " according to " the temperature survey calculating method of the Cable Structure of this method " survey calculation (to measure by ordinary temperature measuring method, thermal resistance is such as used to measure), " Cable Structure steady temperature data " now use vector T orepresent, be called initial Cable Structure steady temperature data vector T o.T is obtained in actual measurement owhile, namely at the synchronization in the moment of the initial Cable Structure steady temperature data vector of acquisition, use the direct survey calculation of conventional method to obtain the initial value of all monitored amount of Cable Structure, form monitored amount initial value vector C o.
Specifically the synchronization in moment of so-and-so Cable Structure steady temperature data vector such as (such as initial or current) can be being obtained according to following method in this method, so-and-so method survey calculation is used to obtain the data of the monitored amount of so-and-so measured amount (all monitored amount of such as Cable Structure): (to comprise the temperature of Cable Structure place environment in survey record temperature, the temperature of the sunny slope of reference plate and Cable Structure surface temperature) while, such as every 10 minutes survey records temperature, so simultaneously equally also every 10 minutes the monitored amount of so-and-so measured amount of survey record (all monitored amount of such as Cable Structure) data.Once determine the moment obtaining Cable Structure steady temperature data, so just be called the synchronization in the moment obtaining Cable Structure steady temperature data, the data of the monitored amount of so-and-so measured amount using so-and-so method survey calculation method to obtain with the data of the monitored amount of so-and-so measured amount (all monitored amount of such as Cable Structure) of the moment synchronization of acquisition Cable Structure steady temperature data.
Conventional method (consult reference materials or survey) is used to obtain temperature variant physical parameter (such as thermal expansivity) and the mechanical property parameters (such as elastic modulus, Poisson ratio) of the various materials that Cable Structure uses; Initial Cable Structure steady temperature data vector T is obtained in actual measurement osynchronization, direct survey calculation obtains the Initial cable force of all support cables, composition Initial cable force vector F o; Obtain the length of all support cables when free state and Suo Li are 0 according to Cable Structure design data, completion data, in free state time cross-sectional area and in free state time the weight of unit length, and the temperature of all support cables when obtaining these three kinds of data, utilize temperature variant physical function parameter and the mechanical property parameters of all support cables on this basis, conveniently physical computing obtains all support cables at initial Cable Structure steady temperature data vector T owhen when Suo Li under condition is 0, the length of all support cables, Suo Li are 0, the cross-sectional area of all support cables and Suo Li are 0, the weight of the unit length of all support cables, forms the initial drift vector l of support cable successively o, initial free cross-sectional area vector A owith the weight vector ω of initial free unit length o, the initial drift vector l of support cable o, initial free cross-sectional area vector A owith the weight vector ω of initial free unit length othe coding rule of element and Initial cable force vector F othe coding rule of element identical.Initial Cable Structure steady temperature data vector T is obtained at Actual measurement owhile, namely at the synchronization in the moment of acquisition Cable Structure steady temperature data, use conventional method Actual measurement to obtain the Actual measurement data of Cable Structure.The Actual measurement data of Cable Structure comprise the measured data such as data, the initial geometric data of Cable Structure, rope force data, draw-bar pull data, initial Cable Structure support coordinate data, Cable Structure bearing initial angle displacement measurement data, Cable Structure modal data, Cable Structure strain data, Cable Structure angle measurement data, Cable Structure volume coordinate measurement data that the Non-destructive Testing Data of support cable etc. can express the health status of rope.Initial Cable Structure support coordinate data refer to the support coordinate data under Cable Structure design point, and Cable Structure bearing initial angle displacement measurement data refer to setting up initial mechanical Calculation Basis model A otime, the angular displacement that Cable Structure bearing occurs relative to the bearing under Cable Structure design point.The initial geometric data of Cable Structure can be the spatial data that the spatial data of the end points of all ropes adds a series of point in Cable Structure, and object is the geometric properties according to these coordinate data determination Cable Structure.For cable-stayed bridge, initial geometric data can be the spatial data that the spatial data of the end points of all ropes adds some points on bridge two ends, so-called bridge type data that Here it is.Utilize the Non-destructive Testing Data etc. of support cable can express the data of the health status of support cable and Cable Structure bearing initial angle displacement measurement data set up evaluation object initial damage vector d o(as the formula (1)), d is used orepresent that Cable Structure is (with initial mechanical Calculation Basis model A orepresent) the initial health of evaluation object.If there is no the Non-destructive Testing Data of support cable and other are when can express the data of the health status of support cable, or can think Cable Structure original state be not damaged without relaxed state time, vectorial d oin each element numerical value relevant to support cable get 0, if when there is no Cable Structure bearing initial angle displacement measurement data or can think that the displacement of Cable Structure bearing initial angle is 0, vectorial d oin each element numerical value relevant to Cable Structure angular displacement of support get 0.The temperature variant physical and mechanical properties parameter of the various materials utilizing the measured data of the design drawing of Cable Structure, as-constructed drawing and initial Cable Structure, the Non-destructive Testing Data of support cable, Cable Structure to use and initial Cable Structure steady temperature data vector T o, utilize mechanics method (such as finite element method) to count " Cable Structure steady temperature data " and set up initial mechanical Calculation Basis model A o.
No matter which kind of method to obtain initial mechanical Calculation Basis model A by o, count " Cable Structure steady temperature data " (i.e. initial Cable Structure steady temperature data vector T o), based on A othe Cable Structure that calculates calculates data must closely its measured data, and error generally must not be greater than 5%.Like this can utility A othe Suo Li calculated under the analog case of gained calculates data, strain calculation data, Cable Structure shapometer count certificate and displacement meter counts certificate, Cable Structure angle-data, Cable Structure spatial data etc., measured data when reliably truly occurring close to institute's analog case.Model A othe health status evaluation object initial damage vector d of middle evaluation object orepresent, the initial Cable Structure steady temperature data vector T of Cable Structure steady temperature data orepresent.Due to based on A othe initial value (actual measurement obtains) of the evaluation calculating all monitored amounts closely all monitored amounts, so also can be used in A obasis on, carry out Mechanics Calculation obtains, A othe evaluation of each monitored amount form monitored amount initial value vector C o.Corresponding to A o" Cable Structure steady temperature data " be exactly " initial Cable Structure steady temperature data vector T o"; Corresponding to A oevaluation object health status with evaluation object initial damage vector d orepresent; Corresponding to A othe initial value monitored amount initial value vector C of all monitored amount orepresent.T oand d oa oparameter, C oalso can by A omechanics Calculation result composition.
3rd step: in the method, alphabetical i is except representing the place of number of steps significantly, and alphabetical i only represents cycle index, i.e. i-th circulation; I-th circulation needs the current initial mechanical Calculation Basis model of Cable Structure that is that set up or that set up to be designated as current initial mechanical Calculation Basis model A when starting i o, A oand A i ocount temperature parameter, can the Effect on Mechanical Properties of accounting temperature change to Cable Structure; When i-th circulation starts, corresponding to A i o" Cable Structure steady temperature data " with current initial Cable Structure steady temperature data vector T i orepresent, vector T i odefinition mode and vector T odefinition mode identical, T i oelement and T oelement one_to_one corresponding; The current initial damage vector of evaluation object that i-th circulation needs when starting is designated as d i o, d i ocable Structure A when representing that this circulation starts i othe health status of evaluation object, d i odefinition mode and d odefinition mode identical, d i oelement and d oelement one_to_one corresponding; When i-th circulation starts, the initial value of all monitored amounts, with monitored amount current initial value vector C i orepresent, vectorial C i odefinition mode and vectorial C odefinition mode identical, C i oelement and C oelement one_to_one corresponding, monitored amount current initial value vector C i orepresent and correspond to A i othe concrete numerical value of all monitored amount; T i oand d i oa i ocharacterisitic parameter; C i oby A i omechanics Calculation result composition; When first time, circulation started, A i obe designated as A 1 o, set up A 1 omethod for making A 1 oequal A o; When first time, circulation started, T i obe designated as T 1 o, set up T 1 omethod for making T 1 oequal T o; When first time, circulation started, d i obe designated as d 1 o, set up d 1 omethod for making d 1 oequal d o; When first time, circulation started, C i obe designated as C 1 o, set up C 1 omethod for making C 1 oequal C o.
4th step: the hardware components of pass line structural healthy monitoring system.Hardware components at least comprises: monitored amount monitoring system (such as measuring subsystem, signal conditioner etc. containing measurement of angle subsystem, cable force measurement subsystem, strain measurement subsystem, volume coordinate), Cable Structure temperature monitoring system (containing temperature sensor, signal conditioner etc.) and Cable Structure ambient temperature measurement system (containing temperature sensor, signal conditioner etc.), signal (data) collector, computing machine and communication alert equipment.Each monitored amount, each temperature must arrive by monitored system monitoring, monitoring system by the Signal transmissions that monitors to signal (data) collector; Signal is delivered to computing machine through signal picker; The health monitoring software of the evaluation object running Cable Structure is then responsible for by computing machine, comprises the signal that the transmission of tracer signal collector comes; When monitoring evaluation object health status and changing, computer control communication panalarm is reported to the police to monitor staff, owner and (or) the personnel that specify.
5th step: establishment the problem cable of installation and operation temperature variation hybrid monitoring and support angular displacement progressive identification method system software on computers, the function (i.e. all work that can complete with computing machine in this specific implementation method) such as monitoring, record, control, storage, calculating, notice, warning that this software will complete this method " problem cable of temperature variation hybrid monitoring and support angular displacement progressive identification method " required by task and wants.
6th step: step starts circulation running thus, in Cable Structure military service process, the current data of Cable Structure steady temperature data is obtained, the current data composition current cable structure steady temperature data vector T of all " Cable Structure steady temperature data " according to " the temperature survey calculating method of the Cable Structure of this method " continuous Actual measurement i, vector T idefinition mode and vector T odefinition mode identical, T ielement and T oelement one_to_one corresponding; In actual measurement vector T iwhile, namely at acquisition current cable structure steady temperature data vector T ithe synchronization in moment, actual measurement obtains the currency of all monitored amounts in Cable Structure, and all these numerical value form monitored amount current value vector C i, vectorial C idefinition mode and vectorial C odefinition mode identical, C ielement and C oelement one_to_one corresponding, represent that identical monitored amount is at not numerical value in the same time.Current cable structure steady temperature data vector T is obtained in actual measurement isynchronization, actual measurement obtain all M in Cable Structure 1the rope force data of root support cable, all these rope force datas composition current cable force vector F, the element of vectorial F and vectorial F othe coding rule of element identical; Current cable structure steady temperature data vector T is obtained in actual measurement isynchronization, Actual measurement obtains all M 1the volume coordinate of two of root support cable supporting end points, the difference of the volume coordinate of two supporting end points component is in the horizontal direction exactly two supporting end points horizontal ranges, all M 1two supporting end points horizontal range data of root support cable form current support cable two and support end points horizontal range vector l t x, current support cable two supports end points horizontal range vector l t xthe coding rule of element and Initial cable force vector F othe coding rule of element identical.
7th step: obtaining current cable structure steady temperature data vector T iafter, compare T iand T i oif, T iequal T i o, then do not need A i oand T i oupgrade, otherwise need current initial mechanical Calculation Basis model A i o, current initial Cable Structure steady temperature data vector T i owith monitored amount current initial value vector C i oupgrade, and evaluation object current initial damage vector d i oremain unchanged, update method follows these steps to a to step c and carries out:
A. T is calculated iwith T odifference, T iwith T odifference be exactly the changes of current cable structure steady temperature data about initial Cable Structure steady temperature data, T iwith T odifference represent with steady temperature change vector S, S equals T ideduct T o, S represents the change of Cable Structure steady temperature data.
B. to A oin Cable Structure apply temperature variation, the numerical value of the temperature variation of applying just takes from steady temperature change vector S, to A oin Cable Structure apply the current initial mechanical Calculation Basis model A that obtains after temperature variation upgrading i o, upgrade A i owhile, T i oall elements numerical value also uses T iall elements numerical value correspondence replace, namely have updated T i o, so just obtain and correctly correspond to A i ot i o; Now d i oremain unchanged; As renewal A i oafter, A i othe health status evaluation object of evaluation object current initial damage vector d i orepresent, A i ocable Structure steady temperature current cable structure steady temperature data vector T irepresent, upgrade C i omethod be: when renewal A i oafter, obtain A by Mechanics Calculation i oin all monitored amounts, current concrete numerical value, these concrete numerical value composition C i o;
8th step: at current initial mechanical Calculation Basis model A i obasis on, carry out several times Mechanics Calculation according to step a to steps d, by calculate set up unit damage monitored numerical quantity unit change matrix Δ C iwith unit damage or unit angular displacement vector D i u.
A., when i-th circulation starts, directly Δ C is obtained by method listed by step b to steps d iand D i u; In other moment, when in the 7th step to A i oafter upgrading, Δ C must be regained by method listed by step b to steps d iand D i uif, not to A in the 7th step i oupgrade, then directly proceed to the 9th step herein and carry out follow-up work.
B. at current initial mechanical Calculation Basis model A i obasis on carry out several times Mechanics Calculation, vectorial d i orepresent A i othe health status of evaluation object, calculation times numerically equals the quantity N of all evaluation objects, has N number of evaluation object just to have N calculating; Calculate hypothesis each time and only have an evaluation object at vectorial d i othere is unit damage or unit angular displacement in the basis of the health status of the evaluation object represented, concrete, if this evaluation object is a support cable in cable system, so just suppose that this support cable is at vectorial d i othe basis that this support cable represented has a damage there is again unit damage (such as getting 5%, 10%, 20% or 30% equivalent damage is unit damage), if this evaluation object is the angular displacement component in a direction of a bearing, just suppose this bearing at this sense of displacement at vectorial d i othe basis that this bearing represented has an angular displacement there is unit angular displacement (such as getting 100,000/radian, 2/100000ths radians, 3/100000ths radians etc. for unit angular displacement) again, use D i ukrecord this unit damage or unit angular displacement, wherein k represents the numbering of the evaluation object that unit damage or unit angular displacement occur, D i ukunit damage or unit angular displacement vector D i uan element, unit damage or unit angular displacement vector D i uthe coding rule of element and vectorial d othe coding rule of element identical; Occur in calculating each time that the evaluation object of unit damage or unit angular displacement is different from during other time calculates the evaluation object occurring unit damage or unit angular displacement, calculate the current calculated value all utilizing mechanics method to calculate all monitored amount of Cable Structure each time, the current calculated value of all monitored amount calculated each time forms a monitored amount calculation current vector; When supposing that a kth evaluation object has unit damage or unit angular displacement, available C i tkrepresent corresponding " monitored amount calculation current vector "; When giving the element number of each vector in this step, same coding rule should be used with other vector in this method, to ensure any one element in this step in each vector, with in other vector, number identical element, have expressed the relevant information of same monitored amount or same target; C i tkdefinition mode and vectorial C odefinition mode identical, C i tkelement and C oelement one_to_one corresponding.
C. the vectorial C calculated each time i tkdeduct vectorial C i oobtain a vector, then by each element of this vector divided by the unit damage supposed in this calculating or unit angular displacement numerical value D i ukafter obtain " the unit change of a monitored amount vector δ C i k"; N number of evaluation object is had just to have N number of " the unit change vector of monitored amount ".
D. by this is N number of " the unit change vector of monitored amount " according to the coding rule of N number of evaluation object, " the unit damage monitored numerical quantity unit change matrix Δ C having N to arrange is formed successively i"; Unit damage monitored numerical quantity unit change matrix Δ C ieach row correspond to a monitored amount unit change vector; Unit damage monitored numerical quantity unit change matrix Δ C ievery a line correspond to the different unit change amplitude of same monitored amount when different evaluation object increases unit damage or unit angular displacement; Unit damage monitored numerical quantity unit change matrix Δ C ithe coding rule of row and vectorial d othe coding rule of element identical, unit damage monitored numerical quantity unit change matrix Δ C ithe coding rule of coding rule and M monitored amount of row identical.
9th step: set up linear relationship error vector e iwith vectorial g i.Utilize (" the monitored amount current initial value vector C of data above i o", " unit damage monitored numerical quantity unit change matrix Δ C i"); while the 8th step calculates each time; namely calculate each time hypothesis evaluation object in only have an evaluation object increase unit damage or unit angular displacement while; when hypothesis kth (k=1,2,3; ..., N), when individual evaluation object increases unit damage or unit angular displacement, calculate composition injury vector each time, use d i tkrepresent this injury vector, corresponding monitored amount calculation current vector is C i tk(see the 8th step), injury vector d i tkelement number equal the quantity of evaluation object, vectorial d i tkall elements in only have the numerical value of an element to get to calculate each time in hypothesis increase unit damage or the unit value of angular displacement of the evaluation object of unit damage or unit angular displacement, d i tkthe numerical value of other element get 0, that be not numbering and the supposition of the element of 0 increase the evaluation object of unit damage or unit angular displacement corresponding relation, be identical with the element of the same numbering of other vectors with the corresponding relation of this evaluation object; d i tkwith evaluation object initial damage vector d oelement number rule identical, d i tkelement and d oelement be one-to-one relationship.By C i tk, C i o, Δ C i, d i tkbring formula (34) into, obtain a linear relationship error vector e i k, calculate a linear relationship error vector e each time i k; e i ksubscript k represent kth (k=1,2,3 ..., N) and individual evaluation object increases unit damage or unit angular displacement.There is N number of evaluation object just to have N calculating, just have N number of linear relationship error vector e i k, by this N number of linear relationship error vector e i kobtaining a vector after addition, is exactly final linear relationship error vector e by each element of this vector divided by the new vector obtained after N i.Vector g iequal final error vector e i.By vectorial g ibe kept on the hard disc of computer of operation health monitoring systems software, for health monitoring systems software application.
e k i = abs ( Δ C i · d tk i - C tk i + C o i ) - - - ( 34 )
Tenth step: define current nominal fatigue vector d i cwith current actual damage vector d i, d i cand d ielement number equal the quantity of evaluation object, d i cand d ielement and evaluation object between be one-to-one relationship, d i cand d ielement numerical value represent degree of injury or the angular displacement of support of corresponding evaluation object, d i cand d iwith evaluation object initial damage vector d oelement number rule identical, d i celement, d ielement and d oelement be one-to-one relationship.
11 step: according to monitored amount current value vector C iwith " monitored amount current initial value vector C i o", " unit damage monitored numerical quantity unit change matrix Δ C i" and " current nominal fatigue vector d i c" between exist linear approximate relationship, this linear approximate relationship can be expressed as formula (11), according to multi-objective optimization algorithm calculate current nominal fatigue vector d i cnoninferior solution, namely can determine the position of damaged cable and the solution of nominal fatigue degree thereof more exactly with reasonable error from all ropes.
The multi-objective optimization algorithm that can adopt has a variety of, such as: the multiple-objection optimization based on genetic algorithm, the multiple-objection optimization based on artificial neural network, the multi-objective optimization algorithm based on population, the multiple-objection optimization based on ant group algorithm, leash law (Constrain Method), weighted method (Weighted SUm Method), Objective Programming (Goal Attainment Method) etc.Because various multi-objective optimization algorithm is all conventional algorithm, can realize easily, this implementation step only provides for Objective Programming and solves current nominal fatigue vector d i cprocess, the specific implementation process of other algorithm can realize in a similar fashion according to the requirement of its specific algorithm.
According to Objective Programming, formula (11) can transform the multi-objective optimization question shown in an accepted way of doing sth (35) and formula (36), and in formula (35), γ is a real number, and R is real number field, and area of space Ω limits vectorial d i cspan (the present embodiment requirements vector d of each element i ceach element be not less than 0, be not more than 1).Formula (35) be meant to the minimum real number γ of searching one, formula (36) is met.G (d in formula (36) i c) defined by formula (37), the middle G (d of the product representation formula (36) of weighing vector W and γ in formula (36) i c) and vectorial g ibetween allow deviation, g idefinition see formula (17), its value calculates in the 9th step.During actual computation vector W can with vectorial g iidentical.The concrete programming realization of Objective Programming has had universal program directly to adopt.Use Objective Programming just can in the hope of current nominal fatigue vector d i c.
minimize γ
(35)
γ∈R, d c i ∈ Ω
G ( d c i ) - Wγ ≤ g i - - - ( 36 )
G ( d c i ) = abs ( Δ C i · d c i - C i + C o i ) - - - ( 37 )
12 step: according to evaluation object current actual damage vector d idefinition (see formula (18)) and the definition (see formula (19)) of its element calculate current actual damage vector d ieach element, thus can by d idetermine the health status of evaluation object.Evaluation object current actual damage vector d ia kth element d i krepresent the current actual health status of a kth evaluation object in i-th circulation, if this evaluation object is support cable, so a d in cable system i krepresent its current actual damage, d i krepresent when being 0 that the support cable of its correspondence is without health problem, d i knumerical value represents when not being 0 that the support cable of its correspondence is the support cable of unsoundness problem, the support cable of unsoundness problem may be slack line, also may be damaged cable, the degree of the lax or damage of its numerical response; If this evaluation object is angular displacement component, so a d of a bearing i krepresent its current actual displacement angle numerical value; So according to evaluation object current actual damage vector d iwhich support cable unsoundness problem and order of severity thereof can be defined, define which bearing and there occurs angular displacement and numerical value thereof; So far the angular displacement of support identification of Cable Structure is achieved.
By current for evaluation object actual damage vector d iin the M relevant to support cable 1individual element takes out, composition support cable current actual damage vector d ic, support cable current actual damage vector d icthe coding rule of element and Initial cable force vector F othe coding rule of element identical.Support cable current actual damage vector d ich element representation Cable Structure in the current actual damage amount of h root support cable, h=1,2,3 ...., M 1; Current actual damage vector d icmiddle numerical value be not 0 element correspond to the support cable of unsoundness problem, from the support cable of these unsoundness problems, identify damaged cable, remaining is exactly slack line.Mirror method for distinguishing is varied; can by removing the protective seam of the support cable of unsoundness problem; visual discriminating is carried out to support cable; or carry out visual discriminating by optical imaging apparatus; also can be differentiated whether support cable is impaired by lossless detection method, UT (Ultrasonic Testing) is exactly a kind of now widely used lossless detection method.After differentiating, those do not find that support cable that damage, unsoundness problem is exactly there occurs lax rope, and needing the rope adjusting Suo Li exactly, is exactly slack line, and these ropes that need adjust Suo Li are at support cable current actual damage vector d icin corresponding element numerical value (such as one of them element can use d ic hrepresent) represent the degree of injury with the relax level mechanic equivalent of these support cables, just determine slack line thus, the computing method of concrete slack are described below.According to support cable current actual damage vector d ic, identify slack line from the support cable of unsoundness problem after, remaining is exactly damaged cable, and these damaged cables are at support cable current actual damage vector d icthe numerical value of the element of middle correspondence just represents its degree of injury, the numerical value of corresponding element represents when being 100% that this support cable thoroughly loses load-bearing capacity, represent time between 0 and 100% that this support cable loses the load-bearing capacity of corresponding proportion, so far just have identified damaged cable and degree of injury thereof.
13 step: utilize at current cable structure steady temperature data vector T ithe support cable current actual damage vector d obtained in the 12 step under condition cathat obtain slack line with current actual equivalent damage degree that is its relax level mechanic equivalent, utilize the 6th step obtain at current cable structure steady temperature data vector T icurrent cable force vector F under condition and current support cable two support end points horizontal range vector l t x, utilize second step obtain at initial Cable Structure steady temperature data vector T othe initial drift vector l of the support cable under condition o, initial free cross-sectional area vector A owith the weight vector ω of initial free unit length o, utilize current cable structure steady temperature data vector T irepresent support cable current steady state temperature data, utilize second step obtain at initial Cable Structure steady temperature data vector T othe support cable initial steady state temperature data represented, the temperature variant physical and mechanical properties parameter of the various materials utilizing the Cable Structure obtained at second step to use, count the impact of temperature variation on support cable physics, mechanics and geometric parameter, by by slack line with damaged cable carry out mechanic equivalent calculate slack line, with the relax level of current actual equivalent damage degree equivalence, the mechanical condition of equivalence is: one, two equivalences rope without lax identical with the mechanics parameters of initial drift during not damaged, geometrical property parameter, density and material; Two, after lax or damage, the slack line of two equivalences and the Suo Li of damage rope be out of shape after overall length identical.When meeting above-mentioned two equivalent conditions, the such mechanics function of two support cables in Cable Structure is exactly identical, if after namely replacing damaged cable with the slack line of equivalence, any change can not occur Cable Structure, and vice versa.Try to achieve according to aforementioned mechanic equivalent condition the relax level that those are judged as slack line, relax level is exactly the knots modification of support cable drift, namely determines the long adjustment amount of those ropes that need adjust the support cable of Suo Li.Particularly can in the hope of the relax level of these ropes (i.e. the long adjustment amount of rope) according to formula (29) or formula (30).So just achieve the lax identification of support cable.So far just damaged cable, slack line and angular displacement of support is all identified.
14 step: the computing machine in health monitoring systems regularly generates cable system health condition form automatically or by human users's health monitoring systems.
15 step: under specified requirements, the computing machine automatic operation communication alert equipment in health monitoring systems is reported to the police to monitor staff, owner and (or) the personnel that specify.
16 step: set up mark vector B according to formula (31) i, formula (32) gives mark vector B ithe definition of a kth element; If mark vector B ielement be 0 entirely, then get back to the 6th step and proceed health monitoring to cable system and calculating; If mark vector B ielement be not 0, then after completing subsequent step entirely, enter and circulate next time.
17 step: according to formula (33) calculate next time (namely the i-th+1 time, i=1,2,3,4 ...) needed for circulation initial damage vector d i+1 oeach element d i+1 ok(k=1,2,3 ..., N); The second, at initial mechanical Calculation Basis model A obasis on, to A oin Cable Structure apply temperature variation, the numerical value of the temperature variation of applying just takes from steady temperature change vector S, then makes the health status of evaluation object be d i+1 oafter obtain be exactly next time, namely the i-th+1 time (i=1,2,3,4 ...) Mechanics Calculation benchmark model A needed for circulation i+1; Next time (namely the i-th+1 time, i=1,2,3,4 ...) current initial Cable Structure steady temperature data vector T needed for circulation i+1 oequal T i o.Obtain A i+1, d i+1 oand T i+1 oafter, obtain A by Mechanics Calculation i+1in all monitored amounts, current concrete numerical value, these the monitored amounts of concrete numerical value composition next time, namely needed for the i-th+1 time circulation current initial value vector C i+1 o.
18 step: get back to the 6th step, starts by the circulation of the 6th step to the 17.

Claims (1)

1. the problem cable of temperature variation hybrid monitoring and a support angular displacement progressive identification method, is characterized in that described method comprises:
A. for sake of convenience, this method unitedly calls evaluated support cable and angular displacement of support component to be evaluation object, if the quantity sum of the quantity of evaluated support cable and angular displacement of support component is N, namely the quantity of evaluation object is N; Determine the coding rule of evaluation object, evaluation objects all in Cable Structure numbered by this rule, this numbering will be used for generating vector sum matrix in subsequent step; This method variable k represents this numbering, k=1,2,3 ..., N; Specify when determining hybrid monitoring by the support cable of monitored Suo Li, if total M in cable system 1root support cable, the monitored rope force data of Cable Structure specifies Q rope force data of support cable to describe by Q in Cable Structure, and the change of Cable Structure Suo Li is exactly the change of the Suo Li of all appointment support cables; Each total Q cable force measurement value or calculated value characterize the rope force information of Cable Structure; Q is one and is not less than 0, is not more than M 1integer; Specify when determining hybrid monitoring by the measured point of monitored strain, the monitored strain data of Cable Structure can by K in Cable Structure 2the L of individual specified point and each specified point 2the strain of individual assigned direction describes, and the change of Cable Structure strain data is exactly K 2the change of all tested strain of individual specified point; Each total M 2individual strain measurement value or calculated value characterize Cable Structure strain, M 2for K 2and L 2long-pending; M 2be be not less than 0 integer; Specify when determining hybrid monitoring by the measured point of monitored angle, the monitored angle-data of Cable Structure is by K in Cable Structure 3individual specified point, cross the L of each specified point 3the H of individual appointment straight line, each appointment straight line 3individual angle coordinate component describes, and the change of Cable Structure angle is exactly the change of all specified points, all appointment straight line, all angle coordinate component of specifying; Each total M 3individual angle coordinate component measurement value or calculated value characterize the angle information of Cable Structure, M 3for K 3, L 3and H 3long-pending; M 3it is an integer being not less than 0; Specify when determining hybrid monitoring by monitored shape data, the monitored shape data of Cable Structure is by K in Cable Structure 4the L of individual specified point and each specified point 4the volume coordinate of individual assigned direction describes, and the change of Cable Structure shape data is exactly K 4the change of all coordinate components of individual specified point; Each total M 4individual coordinates measurements or calculated value characterize Cable Structure shape, M 4for K 4and L 4long-pending; M 4it is an integer being not less than 0; The monitored amount of comprehensive above-mentioned hybrid monitoring, whole Cable Structure has M monitored amount, and M is Q, M 2, M 3and M 4sum, definition parameter K, K is Q, K 2, K 3and K 4sum, K and M must not be less than the quantity N of evaluation object; Because M monitored amount is dissimilar, so this method is called " during temperature variation the damaged cable of hybrid monitoring and support translation identification method "; For simplicity, in the method by monitored all parameters of Cable Structure " during the hybrid monitoring " listed by this step referred to as " monitored amount "; The quantity sum of all monitored amounts is designated as M, and M must not be less than N; Must not be greater than 30 minutes to the time interval between any twice measurement of same amount Real-Time Monitoring in this method, the moment of survey record data is called the physical record data moment;
B. this method definition " the temperature survey calculating method of the Cable Structure of this method " is undertaken by step b1 to b3;
B1: inquiry or actual measurement obtain the temperature variant thermal conduction study parameter of environment residing for Cable Structure composition material and Cable Structure, utilize the geometry measured data of the design drawing of Cable Structure, as-constructed drawing and Cable Structure, utilize these data and parameter to set up the Thermodynamic calculation model of Cable Structure, inquiry Cable Structure location is no less than the meteorological data in recent years of 2 years, the statistics cloudy quantity obtained is during this period of time designated as T cloudy day, in the method daytime can not be seen one of the sun and be called the cloudy day all day, statistics obtains 0 highest temperature after sunrise moment next day between 30 minutes and the lowest temperature at each cloudy day in T cloudy day, the sunrise moment refers to the sunrise moment on the meteorology that base area revolutions and revolution rule are determined, do not represent that the same day necessarily can see the sun, inquiry data or calculated sunrise moment of each required day by conventional meteorology, 0 highest temperature after sunrise moment next day between 30 minutes at each cloudy day deducts the maximum temperature difference that the lowest temperature is called the daily temperature at this cloudy day, there is T cloudy day, just there is the maximum temperature difference of the daily temperature at T cloudy day, the maximal value of getting in the maximum temperature difference of the daily temperature at T cloudy day is reference temperature difference per day, Δ T is designated as with reference to temperature difference per day r, be no less than between inquiry Cable Structure location and Altitude Region, place temperature that the meteorological data in recent years of 2 years or actual measurement obtain environment residing for Cable Structure in time with delta data and the Changing Pattern of sea level elevation, calculate to be no less than 2 years between Cable Structure location and Altitude Region, place Cable Structure in recent years residing for the temperature of environment about the maximum rate of change Δ T of sea level elevation h, get Δ T for convenience of describing hunit be DEG C/m, the surface of Cable Structure is got " R Cable Structure surface point ", the Specific Principles getting " R Cable Structure surface point " describes in step b3, the temperature of this R Cable Structure surface point will be obtained below by actual measurement, claiming to survey the temperature data obtained is " R Cable Structure surface temperature measured data ", if utilize the Thermodynamic calculation model of Cable Structure, obtained the temperature of this R Cable Structure surface point by Calculation of Heat Transfer, just claim the temperature data that calculates for " R Cable Structure land surface pyrometer count certificate ", from the minimum height above sea level residing for Cable Structure to most High aititude, in Cable Structure, uniform choosing is no less than three different sea level elevations, at the sea level elevation place that each is chosen, two points are at least chosen at the intersection place on surface level and Cable Structure surface, from the outer normal of selected point straw line body structure surface, all outer normal directions chosen are called " measuring the direction of Cable Structure along the Temperature Distribution of wall thickness ", measure Cable Structure crossing with " intersection on surface level and Cable Structure surface " along the direction of the Temperature Distribution of wall thickness, in in the shade the outer normal direction of the measurement Cable Structure chosen along the sunny slope outer normal direction and Cable Structure that must comprise Cable Structure in the direction of the Temperature Distribution of wall thickness, three points are no less than along each measurement Cable Structure along direction uniform choosing in Cable Structure of the Temperature Distribution of wall thickness, along each, Cable Structure is measured for support cable and only gets a point along the direction of the Temperature Distribution of wall thickness, only measure the temperature of the surface point of support cable, measure all temperature be selected a little, the temperature recorded is called " Cable Structure is along the temperature profile data of thickness ", wherein along crossing with same " intersection on surface level and Cable Structure surface ", " measure the direction of Cable Structure along the Temperature Distribution of wall thickness " to measure " Cable Structure is along the temperature profile data of thickness " that obtain, be called in the method " identical sea level elevation Cable Structure is along the temperature profile data of thickness ", if have chosen the individual different sea level elevation of H, at each sea level elevation place, have chosen B and measure the direction of Cable Structure along the Temperature Distribution of wall thickness, in Cable Structure, E point is have chosen along each measurement Cable Structure along the direction of the Temperature Distribution of wall thickness, wherein H and E is not less than 3, B is not less than 2, 1 is equaled for support cable E, the sum that Cable Structure " measures the point of Cable Structure along the temperature profile data of thickness " represents with symbol HBE, the temperature of this HBE " measuring the point of Cable Structure along the temperature profile data of thickness " will be obtained below by actual measurement, claiming to survey the temperature data obtained is " HBE Cable Structure is along thickness temperature measured data ", if utilize the Thermodynamic calculation model of Cable Structure, obtain this HBE by Calculation of Heat Transfer and measure the temperature of Cable Structure along the point of the temperature profile data of thickness, the temperature data calculated just is claimed to be " HBE Cable Structure calculates data along thickness temperature ", measure temperature in Cable Structure location according to meteorology to require to choose a position, obtain meeting the temperature that meteorology measures the Cable Structure place environment of temperature requirement by the actual measurement of this position, in the on-site spaciousness of Cable Structure, unobstructed place chooses a position, this position should each of the whole year day can obtain this ground the most sufficient sunshine of this day getable, at the flat board of this position of sound production one piece of carbon steel material, be called reference plate, reference plate can not contact with ground, reference plate overhead distance is not less than 1.5 meters, the one side of this reference plate on the sunny side, be called sunny slope, the sunny slope of reference plate is coarse with dark color, the sunny slope of reference plate should each of the whole year day can obtain one flat plate on this ground the most sufficient sunshine of this day getable, the non-sunny slope of reference plate is covered with insulation material, Real-Time Monitoring is obtained the temperature of the sunny slope of reference plate,
B2: Real-Time Monitoring obtains R Cable Structure surface temperature measured data of above-mentioned R Cable Structure surface point, Real-Time Monitoring obtains the temperature profile data of previously defined Cable Structure along thickness simultaneously, and Real-Time Monitoring obtains meeting the temperature record that meteorology measures the Cable Structure place environment of temperature requirement simultaneously, the temperature measured data sequence of the Cable Structure place environment after sunrise moment next day between 30 minutes is obtained being carved at sunrise the same day by Real-Time Monitoring, the temperature measured data sequence of Cable Structure place environment is arranged according to time order and function order by the temperature measured data of the Cable Structure place environment after being carved into the sunrise moment next day same day at sunrise between 30 minutes, find the maximum temperature in the temperature measured data sequence of Cable Structure place environment and minimum temperature, the maximum temperature difference be carved at sunrise on same day that minimum temperature obtains Cable Structure place environment after sunrise moment next day between 30 minutes is deducted by the maximum temperature in the temperature measured data sequence of Cable Structure place environment, be called environment maximum temperature difference, be designated as Δ T emax, calculated the rate of change of temperature about the time of Cable Structure place environment by Conventional mathematical by the temperature measured data sequence of Cable Structure place environment, this rate of change is also along with time variations, the measured data sequence of the temperature of the sunny slope of the reference plate after sunrise moment next day between 30 minutes is obtained being carved at sunrise the same day by Real-Time Monitoring, the measured data sequence of the temperature of the sunny slope of reference plate is arranged according to time order and function order by the measured data of the temperature of the sunny slope of the reference plate after being carved into the sunrise moment next day same day at sunrise between 30 minutes, find the maximum temperature in the measured data sequence of the temperature of the sunny slope of reference plate and minimum temperature, the maximum temperature difference be carved at sunrise on same day that minimum temperature obtains the temperature of the sunny slope of reference plate after sunrise moment next day between 30 minutes is deducted by the maximum temperature in the measured data sequence of the temperature of the sunny slope of reference plate, be called reference plate maximum temperature difference, be designated as Δ T pmax, the Cable Structure surface temperature measured data sequence of all R Cable Structure surface points after sunrise moment next day between 30 minutes is obtained being carved at sunrise the same day by Real-Time Monitoring, R Cable Structure surface point is had just to have R Cable Structure surface temperature measured data sequence, each Cable Structure surface temperature measured data sequence is arranged according to time order and function order by the Cable Structure surface temperature measured data after being carved into the sunrise moment next day same day of a Cable Structure surface point at sunrise between 30 minutes, find the maximum temperature in each Cable Structure surface temperature measured data sequence and minimum temperature, the maximum temperature difference be carved at sunrise on same day that minimum temperature obtains the temperature of each Cable Structure surface point after sunrise moment next day between 30 minutes is deducted by the maximum temperature in each Cable Structure surface temperature measured data sequence, there is R Cable Structure surface point just to have to be carved at sunrise R the same day maximum temperature difference numerical value between 30 minutes after sunrise moment next day, maximal value is wherein called Cable Structure surface maximum temperature difference, be designated as Δ T smax, calculated the rate of change of temperature about the time of each Cable Structure surface point by Conventional mathematical by each Cable Structure surface temperature measured data sequence, the temperature of each Cable Structure surface point about the rate of change of time also along with time variations, obtain being carved at sunrise the same day after sunrise moment next day between 30 minutes by Real-Time Monitoring, at synchronization, after HBE " Cable Structure is along the temperature profile data of thickness ", calculate the difference amounting to maximum temperature in BE " identical sea level elevation Cable Structure is along the temperature profile data of thickness " and minimum temperature at the sea level elevation place that each is chosen, the absolute value of this difference is called " identical sea level elevation place Cable Structure thickness direction maximum temperature difference ", have chosen H different sea level elevation just to have H " identical sea level elevation place Cable Structure thickness direction maximum temperature difference ", the maximal value in this H " identical sea level elevation place Cable Structure thickness direction maximum temperature difference " is claimed to be " Cable Structure thickness direction maximum temperature difference ", be designated as Δ T tmax,
B3: survey calculation obtains Cable Structure steady temperature data, first, determine the moment obtaining Cable Structure steady temperature data, the condition relevant to the moment determining to obtain Cable Structure steady temperature data has six, Section 1 condition is moment of obtaining Cable Structure steady temperature data between after being carved into sunrise moment next day at sunset between 30 minutes on same day, the sunset moment refers to the sunset moment on base area revolutions and the meteorology determined of revolution rule, inquiry data or calculated sunset moment of each required day by conventional meteorology, the a condition of Section 2 condition be after being carved into sunrise moment next day at sunrise between 30 minutes on same day during this period of time in, reference plate maximum temperature difference Δ T pmaxwith Cable Structure surface maximum temperature difference Δ T smaxall be not more than 5 degrees Celsius, the b condition of Section 2 condition be after being carved into sunrise moment next day at sunrise between 30 minutes on same day during this period of time in, the environment maximum temperature difference Δ T that survey calculation obtains above emaxbe not more than with reference to temperature difference per day Δ T r, and reference plate maximum temperature difference Δ T pmaxΔ T is not more than after deducting 2 degrees Celsius emax, and Cable Structure surface maximum temperature difference Δ T smaxbe not more than Δ T pmax, one of only need meet in a condition of Section 2 and b condition is just called and meets Section 2 condition, Section 3 condition is when obtaining Cable Structure steady temperature data, and the temperature of Cable Structure place environment is not more than 0.1 degree Celsius per hour about the absolute value of the rate of change of time, Section 4 condition is when obtaining Cable Structure steady temperature data, and the temperature of each the Cable Structure surface point in R Cable Structure surface point is not more than 0.1 degree Celsius per hour about the absolute value of the rate of change of time, Section 5 condition is when obtaining Cable Structure steady temperature data, and the Cable Structure surface temperature measured data of each the Cable Structure surface point in R Cable Structure surface point is be carved into the minimal value after sunrise moment next day between 30 minutes the same day at sunrise, Section 6 condition is when obtaining Cable Structure steady temperature data, " Cable Structure thickness direction maximum temperature difference " Δ T tmaxbe not more than 1 degree Celsius, this method utilizes above-mentioned six conditions, any one in following three kinds of moment is called " the mathematics moment obtaining Cable Structure steady temperature data ", simultaneously the first moment meets the moment of the Section 1 in above-mentioned " condition relevant to the moment determining to obtain Cable Structure steady temperature data " to Section 5 condition, the second moment is moment of the Section 6 condition only met in above-mentioned " condition relevant to determining to obtain moment of Cable Structure steady temperature data ", simultaneously the third moment meets the moment of the Section 1 in above-mentioned " condition relevant to the moment determining to obtain Cable Structure steady temperature data " to Section 6 condition, when the mathematics moment obtaining Cable Structure steady temperature data is exactly one in this method in the physical record data moment, the moment obtaining Cable Structure steady temperature data is exactly the mathematics moment obtaining Cable Structure steady temperature data, if the mathematics moment obtaining Cable Structure steady temperature data is not any one moment in this method in the physical record data moment, then getting this method closest to moment of those physical record data in the mathematics moment obtaining Cable Structure steady temperature data is the moment obtaining Cable Structure steady temperature data, the amount being used in the moment survey record obtaining Cable Structure steady temperature data is carried out Cable Structure relevant health monitoring analysis by this method, this method thinks that the Cable Structure temperature field in the moment obtaining Cable Structure steady temperature data is in stable state, and namely the Cable Structure temperature in this moment does not change in time, and this moment is exactly " obtaining the moment of Cable Structure steady temperature data " of this method, then, according to Cable Structure heat transfer characteristic, utilize " R the Cable Structure surface temperature measured data " and " HBE Cable Structure is along thickness temperature measured data " in the moment obtaining Cable Structure steady temperature data, utilize the Thermodynamic calculation model of Cable Structure, the Temperature Distribution of the Cable Structure in the moment obtaining Cable Structure steady temperature data is calculated by conventional heat transfer, now the temperature field of Cable Structure calculates by stable state, the temperature profile data of the Cable Structure in the moment in acquisition Cable Structure steady temperature data calculated comprises the accounting temperature of R Cable Structure surface point in Cable Structure, the accounting temperature of R Cable Structure surface point is called that R Cable Structure steady-state surface temperature calculates data, also comprise the accounting temperature of Cable Structure selected HBE " measuring the point of Cable Structure along the temperature profile data of thickness " above, the accounting temperature of HBE " measuring the point of Cable Structure along the temperature profile data of thickness " is called " HBE Cable Structure calculates data along thickness temperature ", when R Cable Structure surface temperature measured data and R Cable Structure steady-state surface temperature calculate data correspondent equal, and when " HBE Cable Structure is along thickness temperature measured data " and " HBE Cable Structure calculates data along thickness temperature " correspondent equal, the temperature profile data of the Cable Structure in the moment in acquisition Cable Structure steady temperature data calculated is called " Cable Structure steady temperature data " in the method, " R Cable Structure surface temperature measured data " is now called " R Cable Structure steady-state surface temperature measured data ", " HBE Cable Structure is along thickness temperature measured data " is called " HBE Cable Structure is along thickness steady temperature measured data ", when the surface of Cable Structure is got " R Cable Structure surface point ", the quantity of " R Cable Structure surface point " must meet three conditions with distribution, first condition is when Cable Structure temperature field is in stable state, when the temperature of Cable Structure any point be on the surface by " R Cable Structure surface point " in obtain with the observed temperature linear interpolation of the Cable Structure point that this arbitrfary point is adjacent on the surface time, the error of the Cable Structure that linear interpolation the obtains temperature of this arbitrfary point and the Cable Structure actual temperature of this arbitrfary point on the surface is on the surface not more than 5%, Cable Structure surface comprises support cable surface, second condition is not less than 4 in the quantity of the point of same sea level elevation in " R Cable Structure surface point ", and uniform along Cable Structure surface at the point of same sea level elevation in " R Cable Structure surface point ", " R Cable Structure surface point " is not more than 0.2 DEG C divided by Δ T along the maximal value Δ h in the absolute value of all differences of the sea level elevation of adjacent Cable Structure surface point between two of sea level elevation hthe numerical value obtained, gets Δ T for convenience of describing hunit be DEG C/m, be m for convenience of describing the unit getting Δ h, " R Cable Structure surface point " along the definition of the adjacent between two Cable Structure surface point of sea level elevation refer to only consider sea level elevation time, in " R Cable Structure surface point ", there is not a Cable Structure surface point, the sea level elevation numerical value of this Cable Structure surface point is between the sea level elevation numerical value of adjacent Cable Structure surface point between two, 3rd condition is inquiry or obtains the rule at sunshine between Cable Structure location and Altitude Region, place by meteorology conventionally calculation, again according to geometric properties and the bearing data of Cable Structure, Cable Structure finds the annual position by sunshine-duration those surface points the most sufficient, in " R Cable Structure surface point ", has at least a Cable Structure surface point to be annual by a point in sunshine-duration the most fully those surface points in Cable Structure,
C. the Cable Structure steady temperature data under original state are obtained according to " the temperature survey calculating method of the Cable Structure of this method " direct survey calculation, Cable Structure steady temperature data under original state are called initial Cable Structure steady temperature data, are designated as " initial Cable Structure steady temperature data vector T o"; Survey or consult reference materials and obtain the temperature variant physical and mechanical properties parameter of the various materials that Cable Structure uses; Initial Cable Structure steady temperature data vector T is obtained in actual measurement osynchronization, direct survey calculation obtains the Initial cable force of all support cables, composition Initial cable force vector F o; Obtain the length of all support cables when free state and Suo Li are 0 according to Cable Structure design data, completion data, in free state time cross-sectional area and in free state time the weight of unit length, and the temperature of all support cables when obtaining these three kinds of data, utilize temperature variant physical function parameter and the mechanical property parameters of all support cables on this basis, conveniently physical computing obtains all support cables at initial Cable Structure steady temperature data vector T othe weight of the unit length of all support cables when the cross-sectional area of all support cables and Suo Li are 0 when the length of all support cables, Suo Li are 0 when Suo Li under condition is 0, form the initial drift vector of support cable, the weight vector of the initial free unit length of initial free cross-sectional area vector sum successively, the coding rule of the element of the initial drift vector of support cable, the weight vector of the initial free unit length of initial free cross-sectional area vector sum and Initial cable force vector F othe coding rule of element identical; T is obtained in actual measurement owhile, namely at the initial Cable Structure steady temperature data vector T of acquisition othe synchronization in moment, direct survey calculation obtains the measured data of initial Cable Structure, and the measured data of initial Cable Structure comprises the Non-destructive Testing Data of the health status expressing support cable, Cable Structure bearing initial angle displacement measurement data, the initial value of all monitored amounts, the Initial cable force data of all support cables, initial Cable Structure modal data, initial Cable Structure strain data, initial Cable Structure geometric data, initial Cable Structure support coordinate data, initial Cable Structure angle-data, initial Cable Structure spatial data; The initial value of all monitored amounts forms monitored amount initial value vector C o, monitored amount initial value vector C othe coding rule of coding rule and M monitored amount identical; Utilization can express the Non-destructive Testing Data of the health status of support cable and Cable Structure bearing initial angle displacement measurement data set up evaluation object initial damage vector d o, vectorial d orepresent with initial mechanical Calculation Basis model A othe initial health of the evaluation object of the Cable Structure represented; Evaluation object initial damage vector d oelement number equal N, d oelement and evaluation object be one-to-one relationship, vectorial d othe coding rule of element identical with the coding rule of evaluation object; If d oevaluation object corresponding to some elements be support cable, so a d in cable system othe numerical value of this element represent the initial damage degree of corresponding support cable, if the numerical value of this element is 0, represent that the support cable corresponding to this element is intact, do not damage, if its numerical value is 100%, then represent that the support cable corresponding to this element completely loses load-bearing capacity, if its numerical value is between 0 and 100%, then represent that this support cable loses the load-bearing capacity of corresponding proportion; If d oevaluation object corresponding to some elements be some angular displacement components of some bearings, so d othe numerical value of this element represent the initial value of this angular displacement component of this bearing; If there is no the Non-destructive Testing Data of support cable and other are when can express the data of the health status of support cable, or can think Cable Structure original state be not damaged without relaxed state time, vectorial d oin each element numerical value relevant to support cable get 0, if when there is no Cable Structure bearing initial angle displacement measurement data or can think that the displacement of Cable Structure bearing initial angle is 0, vectorial d oin each element numerical value relevant to Cable Structure angular displacement of support get 0; Initial Cable Structure support coordinate data refer to the support coordinate data under Cable Structure design point, and Cable Structure bearing initial angle displacement measurement data refer to setting up initial mechanical Calculation Basis model A otime, the angular displacement that Cable Structure bearing occurs relative to the bearing under Cable Structure design point;
Temperature variant physical and mechanical properties parameter, the initial Cable Structure steady temperature data vector T of the various materials d. used according to the measured data of the design drawing of Cable Structure, as-constructed drawing and initial Cable Structure, the Non-destructive Testing Data of support cable, Cable Structure bearing initial angle displacement measurement data, Cable Structure owith all Cable Structure data that preceding step obtains, set up the initial mechanical Calculation Basis model A counting the Cable Structure of " Cable Structure steady temperature data " o, based on A othe Cable Structure that calculates calculates data must closely its measured data, and difference therebetween must not be greater than 5%; Corresponding to A o" Cable Structure steady temperature data " be exactly " initial Cable Structure steady temperature data vector T o"; Corresponding to A oevaluation object health status with evaluation object initial damage vector d orepresent; Corresponding to A othe initial value monitored amount initial value vector C of all monitored amount orepresent; T oand d oa oparameter, by A othe initial value of all monitored amount that obtains of Mechanics Calculation result and C othe initial value of all monitored amount represented is identical, therefore alternatively C oby A omechanics Calculation result composition, A in the method o, C o, d oand T oconstant;
E. in the method, alphabetical i is except representing the place of number of steps significantly, and alphabetical i only represents cycle index, i.e. i-th circulation; I-th circulation needs the current initial mechanical Calculation Basis model of Cable Structure that is that set up or that set up to be designated as current initial mechanical Calculation Basis model A when starting i o, A oand A i ocount temperature parameter, can the Effect on Mechanical Properties of accounting temperature change to Cable Structure; When i-th circulation starts, corresponding to A i o" Cable Structure steady temperature data " with current initial Cable Structure steady temperature data vector T i orepresent, vector T i odefinition mode and vector T odefinition mode identical, T i oelement and T oelement one_to_one corresponding; The current initial damage vector of evaluation object that i-th circulation needs when starting is designated as d i o, d i ocable Structure A when representing that this circulation starts i othe health status of evaluation object, d i odefinition mode and d odefinition mode identical, d i oelement and d oelement one_to_one corresponding; When i-th circulation starts, the initial value of all monitored amounts, with monitored amount current initial value vector C i orepresent, vectorial C i odefinition mode and vectorial C odefinition mode identical, C i oelement and C oelement one_to_one corresponding, monitored amount current initial value vector C i orepresent and correspond to A i othe concrete numerical value of all monitored amount; T i oand d i oa i ocharacterisitic parameter, C i oby A i omechanics Calculation result composition; When first time, circulation started, A i obe designated as A 1 o, set up A 1 omethod for making A 1 oequal A o; When first time, circulation started, T i obe designated as T 1 o, set up T 1 omethod for making T 1 oequal T o; When first time, circulation started, d i obe designated as d 1 o, set up d 1 omethod for making d 1 oequal d o; When first time, circulation started, C i obe designated as C 1 o, set up C 1 omethod for making C 1 oequal C o;
F. from entering the circulation being walked to s step by f here; In Cable Structure military service process, the current data of Cable Structure steady temperature data is obtained, the current data composition current cable structure steady temperature data vector T of all " Cable Structure steady temperature data " according to " the temperature survey calculating method of the Cable Structure of this method " continuous Actual measurement i, vector T idefinition mode and vector T odefinition mode identical, T ielement and T oelement one_to_one corresponding; Vector T is obtained in actual measurement iwhile, actual measurement obtains at acquisition current cable structure steady temperature data vector T imoment synchronization Cable Structure in the currency of all monitored amounts, all these numerical value form monitored amount current value vector C i, vectorial C idefinition mode and vectorial C odefinition mode identical, C ielement and C oelement one_to_one corresponding, represent that identical monitored amount is at not numerical value in the same time; Current cable structure steady temperature data vector T is obtained in actual measurement isynchronization, actual measurement obtain all M in Cable Structure 1the rope force data of root support cable, all these rope force datas composition current cable force vector F, the element of vectorial F and vectorial F othe coding rule of element identical; Current cable structure steady temperature data vector T is obtained in actual measurement isynchronization, Actual measurement obtains all M 1the volume coordinate of two supporting end points of root support cable, the difference of the volume coordinate component in the horizontal direction of two supporting end points is exactly two supporting end points horizontal ranges, two supporting end points horizontal range data of all support cables form current support cable two and support end points horizontal range vector, and current support cable two supports coding rule and the Initial cable force vector F of the element of end points horizontal range vector othe coding rule of element identical;
G. according to current cable structure steady temperature data vector T i, upgrade current initial mechanical Calculation Basis model A according to step g 1 to g3 i o, monitored amount current initial value vector C i owith current initial Cable Structure steady temperature data vector T i o, and evaluation object current initial damage vector d i oremain unchanged;
G1. T is compared iwith T i oif, T iequal T i o, then A i o, C i oand T i oremain unchanged; Otherwise need to follow these steps to A i o, C i oand T i oupgrade;
G2. T is calculated iwith T odifference, T iwith T odifference be exactly the changes of current cable structure steady temperature data about initial Cable Structure steady temperature data, T iwith T odifference represent with steady temperature change vector S, S equals T ideduct T o, S represents the change of Cable Structure steady temperature data;
G3. to A oin Cable Structure apply temperature variation, the numerical value of the temperature variation of applying just takes from steady temperature change vector S, to A oin Cable Structure apply temperature variation after obtain upgrade current initial mechanical Calculation Basis model A i o, upgrade A i owhile, T i oall elements numerical value also uses T iall elements numerical value correspondence replace, namely have updated T i o, so just obtain and correctly correspond to A i ot i o; Now d i oremain unchanged; As renewal A i oafter, A i othe health status evaluation object of rope current initial damage vector d i orepresent, A i ocable Structure steady temperature current cable structure steady temperature data vector T irepresent, upgrade C i omethod be: when renewal A i oafter, obtain A by Mechanics Calculation i oin all monitored amounts, current concrete numerical value, these concrete numerical value composition C i o;
H. at current initial mechanical Calculation Basis model A i obasis on, carry out several times Mechanics Calculation according to step h1 to step h4, by calculate set up unit damage monitored numerical quantity unit change matrix Δ C iwith unit damage or unit angular displacement vector D i u;
H1., when i-th circulation starts, directly Δ C is obtained by method listed by step h2 to step h4 iand D i u; In other moment, when in step g to A i oafter upgrading, Δ C must be regained by method listed by step h2 to step h4 iand D i uif, not to A in step g i oupgrade, then directly proceed to step I herein and carry out follow-up work;
H2. at the current initial mechanical Calculation Basis model A of Cable Structure i obasis on carry out several times Mechanics Calculation, calculation times numerically equals the quantity N of all evaluation objects, has N number of evaluation object just to have N calculating; According to the coding rule of evaluation object, calculate successively; Calculating hypothesis each time only has an evaluation object to increase unit damage or unit angular displacement again on the basis of original damage or angular displacement, if this evaluation object is a support cable in cable system, so just suppose that this support cable increases unit damage again, if this evaluation object is the angular displacement component in a direction of a bearing, just suppose that this bearing increases unit angular displacement again at this sense of displacement, use D i ukrecord unit damage or the unit angular displacement of this increase, wherein k represents the numbering of the evaluation object increasing unit damage or unit angular displacement, D i ukunit damage or unit angular displacement vector D i uan element, unit damage or unit angular displacement vector D i uthe coding rule of element and vectorial d othe coding rule of element identical; The evaluation object increasing unit damage or unit angular displacement in calculating each time is again different from during other time calculates the evaluation object increasing unit damage or unit angular displacement again, calculate the current calculated value all utilizing mechanics method to calculate all monitored amount of Cable Structure each time, the current calculated value of all monitored amount calculated each time forms a monitored amount calculation current vector; When supposing that a kth evaluation object increases unit damage or unit angular displacement again, use C i tkrepresent corresponding " monitored amount calculation current vector "; When giving the element number of each vector in this step, same coding rule should be used with other vector in this method, to ensure any one element in this step in each vector, with in other vector, number identical element, have expressed the relevant information of same monitored amount or same target; C i tkdefinition mode and vectorial C odefinition mode identical, C i tkelement and C oelement one_to_one corresponding;
H3. the vectorial C calculated each time i tkdeduct vectorial C i oobtain a vector, then after each element of this vector is calculated divided by this unit damage or unit angular displacement numerical value supposed, obtain " unit change vector δ a C for monitored amount i k"; N number of evaluation object is had just to have N number of " the unit change vector of monitored amount ";
H4. by this is N number of " the unit change vector of monitored amount " according to the coding rule of N number of evaluation object, " the unit damage monitored numerical quantity unit change matrix Δ C having N to arrange is formed successively i"; Unit damage monitored numerical quantity unit change matrix Δ C ieach row correspond to a monitored amount unit change vector; Unit damage monitored numerical quantity unit change matrix Δ C ievery a line correspond to the different unit change amplitude of same monitored amount when different evaluation object increases unit damage or unit angular displacement; Unit damage monitored numerical quantity unit change matrix Δ C ithe coding rule of row and vectorial d othe coding rule of element identical, unit damage monitored numerical quantity unit change matrix Δ C ithe coding rule of coding rule and M monitored amount of row identical;
I. current nominal fatigue vector d is defined i cwith current actual damage vector d i, d i cand d ielement number equal the quantity of support cable, d i cand d ielement and evaluation object between be one-to-one relationship, d i cand d ielement numerical value represent degree of injury or the health status of corresponding evaluation object, d i cand d iwith evaluation object initial damage vector d oelement number rule identical, d i celement, d ielement and d oelement be one-to-one relationship;
J. according to monitored amount current value vector C iwith " monitored amount current initial value vector C i o", " unit damage monitored numerical quantity unit change matrix Δ C i" and " current nominal fatigue vector d i c" between the linear approximate relationship that exists, this linear approximate relationship can be expressed as formula 1, except d in formula 1 i cother outer amount is known, solves formula 1 and just can calculate current nominal fatigue vector d i c;
C i = C o i + ΔC i · d c i Formula 1
K. the current actual damage vector d utilizing formula 2 to express ia kth element d i kwith evaluation object current initial damage vector d i oa kth element d i okwith current nominal fatigue vector d i ca kth element d i ckbetween relation, calculate current actual damage vector d iall elements;
K=1 in formula 2,2,3 ..., N; d i krepresent the current actual health status of a kth evaluation object in i-th circulation, d i krepresent when being 0 that a kth evaluation object is without health problem, d i knumerical value represents when not being 0 that a kth evaluation object is the evaluation object of unsoundness problem, if this evaluation object is support cable, so a d in cable system i krepresent the order of severity of its current health problem, the support cable of unsoundness problem may be slack line, also may be damaged cable, d i kthe degree of the lax or damage of this support cable of numerical response, if this evaluation object is angular displacement component, so a d of a bearing i krepresent its current actual displacement angle numerical value; So according to evaluation object current actual damage vector d iwhich support cable unsoundness problem and order of severity thereof can be defined, define which bearing and there occurs angular displacement and numerical value thereof;
L. by current for evaluation object actual damage vector d iin with M 1the M that root support cable is relevant 1individual element takes out, composition support cable current actual damage vector d ca, support cable current actual damage vector d cathe coding rule of element and Initial cable force vector F othe coding rule of element identical; Support cable current actual damage vector d cah element representation Cable Structure in the current actual damage amount of h root support cable, h=1,2,3 ...., M 1; Support cable current actual damage vector d camiddle numerical value be not 0 element correspond to the support cable of unsoundness problem, from the support cable of these unsoundness problems, identify damaged cable, remaining is exactly slack line, support cable current actual damage vector d cain correspond to slack line element numerical expression be the current actual equivalent damage degree with slack line relax level mechanic equivalent;
M. utilize at current cable structure steady temperature data vector T iunder condition, walk the slack line that identifies and with support cable current actual damage vector d at l cathese slack lines of expressing, with the current actual equivalent damage degree of its relax level mechanic equivalent, utilize f step obtain at current cable structure steady temperature data vector T icurrent cable force vector F under condition and current support cable two support end points horizontal range vector, utilize c step obtain at initial Cable Structure steady temperature data vector T othe initial drift vector of the support cable under condition, the weight vector of the initial free unit length of initial free cross-sectional area vector sum, the vectorial F of Initial cable force o, utilize current cable structure steady temperature data vector T trepresent support cable current steady state temperature data, utilize c step obtain at initial Cable Structure steady temperature data vector T othe support cable initial steady state temperature data represented, the temperature variant physical and mechanical properties parameter of the various materials utilizing the Cable Structure obtained in c step to use, count the impact of temperature variation on support cable physics, mechanics and geometric parameter, by by slack line with damaged cable carry out mechanic equivalent calculate slack line, with the relax level of current actual equivalent damage degree equivalence, mechanic equivalent condition is: one, two equivalences rope without lax identical with the mechanics parameters of initial drift during not damaged, geometrical property parameter, density and material; Two, after lax or damage, the slack line of two equivalences and the Suo Li of damage rope be out of shape after overall length identical; When meeting above-mentioned two equivalent conditions, the such mechanics function of two support cables in Cable Structure is exactly identical, if after namely replacing damaged cable with the slack line of equivalence, any change can not occur Cable Structure, and vice versa; Try to achieve according to aforementioned mechanic equivalent condition the relax level that those are judged as slack line, relax level is exactly the knots modification of support cable drift, namely determines the long adjustment amount of those ropes that need adjust the support cable of Suo Li; So just achieve lax identification and the non-destructive tests of support cable; During calculating, institute's demand power is provided by current cable force vector F corresponding element;
N. current nominal fatigue vector d is tried to achieve i cafter, set up mark vector B according to formula 3 i, formula 4 gives mark vector B ithe definition of a kth element;
B i = B 1 i B 2 i . . . B k i . . . B N i T Formula 3
Element B in formula 4 i kmark vector B ia kth element, D i ukunit damage or unit angular displacement vector D i ua kth element, d i ckevaluation object current nominal fatigue vector d i ca kth element, they all represent the relevant information of a kth evaluation object, k=1 in formula 4,2,3 ..., N;
If o. mark vector B ielement be 0 entirely, then get back to step f continue this circulation; If mark vector B ielement be not 0 entirely, then enter next step, i.e. step p;
P. calculate next time according to formula 5, evaluation object current initial damage vector d namely needed for the i-th+1 time circulation i+1 oeach element;
D in formula 5 i+1 okthe evaluation object current initial damage vector d next time, namely needed for the i-th+1 time circulation i+1 oa kth element, d i okthis, i.e. the evaluation object of i-th circulation current initial damage vector d i oa kth element, D i ukunit damage or the unit angular displacement vector D of i-th circulation i ua kth element, B i kthe mark vector B of i-th circulation ia kth element, k=1 in formula 5,2,3 ..., N;
Q. take off once, namely the i-th+1 time circulation needed for current initial Cable Structure steady temperature data vector T i+1 oequal the current initial Cable Structure steady temperature data vector T of i-th circulation i o;
R. at initial mechanical Calculation Basis model A obasis on, to A oin Cable Structure apply temperature variation, the numerical value of the temperature variation of applying just takes from steady temperature change vector S, then makes the health status of rope be d i+1 oafter obtain be exactly next time, namely the i-th+1 time circulation needed for Mechanics Calculation benchmark model A i+1; Obtain A i+1after, obtain A by Mechanics Calculation i+1in all monitored amounts, current concrete numerical value, these the monitored amounts of concrete numerical value composition next time, namely needed for the i-th+1 time circulation current initial value vector C i+1 o;
S. get back to step f, start to circulate next time.
CN201210173397.5A 2012-05-30 2012-05-30 Defective cable and support angular displacement progressive identification method based on mixed monitoring of temperature change Expired - Fee Related CN102706658B (en)

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