CN102706577B - Method for identifying problem cable and support translation based on hybrid monitoring during temperature change - Google Patents

Method for identifying problem cable and support translation based on hybrid monitoring during temperature change Download PDF

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CN102706577B
CN102706577B CN201210171055.XA CN201210171055A CN102706577B CN 102706577 B CN102706577 B CN 102706577B CN 201210171055 A CN201210171055 A CN 201210171055A CN 102706577 B CN102706577 B CN 102706577B
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cable
temperature
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CN102706577A (en
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韩玉林
韩佳邑
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Southeast University
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Abstract

The utility model relates to a method for identifying a problem cable and support translation based on hybrid monitoring during temperature change. The method comprises the following steps: based on the hybrid monitoring, deciding whether a mechanical calculation benchmark model of a cable structure needs to be updated by monitoring the temperature of the cable structure and the environmental temperature, and obtaining the mechanical calculation benchmark model of the cable structure with the temperature of the cable structure and the environmental temperature; and on the basis of the model, calculating to obtain the unit change matrix of a unit-damaged monitored quantity. According to an approximate linear relationship among the current numerical vector of a monitored quantity, the current initial numerical vector of the monitored quantity, the unit change matrix of the unit-damaged monitored quantity, a unit-damaged or unit translation and displacement vector and the current name-damaged vector of an unknown evaluated object, the non-inferior solution of the current name-damaged vector of the evaluated object is calculated. Thus, damaged cables, slack cables and the translation and displacement of supports can be quickly identified during temperature change.

Description

The problem cable of hybrid monitoring and support translation identification method during temperature variation
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, 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 bearing translational displacement 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 translational 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 bearing translational displacement to be very important.
The health status of support cable system changes and after bearing generation translational 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 bearing translational displacement information, that is the measurable parameter of structure can be utilized to identify bearing translational displacement 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 bearing translational displacement.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 bearing translational displacement; 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 bearing translational displacement 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 translational displacement causes, four is Suo Li changes that Cable Structure temperature variation causes.
Technical scheme: this method is made up of three parts.Method, knowledge based storehouse (containing parameter) and actual measurement the Cable Structure health state evaluation method of monitored amount, the software and hardware part of health monitoring systems of setting up knowledge base needed for cable structure health monitoring system and parameter respectively.
If the quantity sum of the bearing translational displacement 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 bearing translational displacement 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 is described by Q rope force data of Q in structure appointment rope, and the change of structure Suo Li is exactly the change of the Suo Li of all appointment ropes.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 and 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 method setting up knowledge base needed for cable structure health monitoring system and parameter.Specific as follows:
1. 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 smaxcalculated 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 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.
2. set up the initial mechanical Calculation Basis model A of Cable Structure o(such as finite element benchmark model) and current initial mechanical Calculation Basis model A t othe method of (such as finite element benchmark model), sets up and A ocorresponding monitored amount initial value vector C omethod, set up and A t ocorresponding monitored amount current initial value vector C t omethod.A in the method o, C o, A t oand C t oconstantly update.Set up and upgrade A o, C o, A t oand C t omethod as follows.Monitored amount initial value vector C othe coding rule of coding rule and M monitored amount identical.
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 synchronization in the moment of acquisition Cable Structure steady temperature data, use the direct survey calculation of conventional method to obtain the initial number of all monitored amount of Cable Structure.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 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, Cable Structure bearing initial translation 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 translation displacement measurement data refer to setting up initial mechanical Calculation Basis model A otime, the translational 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 translation 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 translation displacement measurement data or can think that the displacement of Cable Structure bearing initial translation is 0, vectorial d oin each element numerical value relevant to Cable Structure bearing translational displacement 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 translation 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 support cable (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 translational 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.
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.
Set up and upgrade current initial mechanical Calculation Basis model A t omethod be: initial time (namely first time set up A t otime), A t ojust equal A o, A t ocorresponding " Cable Structure steady temperature data " are designated as " current initial Cable Structure steady temperature data vector T t o", at initial time, T t ojust equal T o, vector T t odefinition mode and vector T odefinition mode identical.A t othe initial health of evaluation object and A othe health status of evaluation object identical, also use evaluation object initial damage vector d orepresent, A in cyclic process below t othe initial health of evaluation object use evaluation object initial damage vector d all the time orepresent; Cable Structure is in A t oduring state, this method monitored amount current initial value vector C t orepresent the concrete numerical value of all monitored amounts, C t oelement and C oelement one_to_one corresponding, represent that all monitored amounts are in A in Cable Structure respectively t oand A oconcrete numerical value during two states.At initial time, C t ojust equal C o, T t oand d oa t oparameter, C t oby A t omechanics Calculation result composition; In Cable Structure military service process, the current data obtaining " Cable Structure steady temperature data " according to " the temperature survey calculating method of the Cable Structure of this method " continuous Actual measurement (is called " current cable structure steady temperature data vector T t", vector T tdefinition mode and vector T odefinition mode identical); If T tequal T t o, then do not need A t oupgrade, otherwise need A t oand T t oupgrade, update method is: the first step calculates T twith T odifference, T twith T odifference be exactly the changes of current cable structure steady temperature data about initial Cable Structure steady temperature data, T twith T odifference represent with steady temperature change vector S, S equals T tdeduct 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 t o, upgrade A t owhile, T t oall elements numerical value also uses T tall elements numerical value correspondence replace, namely have updated T t o, so just obtain and correctly correspond to A t ot t o; Upgrade C t omethod be: when renewal A t oafter, obtain A by Mechanics Calculation t in oall monitored amounts, current concrete numerical value, these concrete numerical value composition C t o.
In Cable Structure the currency of all monitored amounts form monitored amount current value vector C(definition see formula (3)).
C=[C 1C 2···C j···C M] T(3)
C in formula (3) j(j=1,2,3 ...., M) be the currency of jth monitored amount in Cable Structure, this component C jaccording to coding rule and C ojcorresponding to same " monitored amount ".Current cable structure steady temperature data vector T is obtained in actual measurement tsynchronization, actual measurement obtains the current measured value of all monitored amount of Cable Structure, forms monitored amount current value vector C.
3. set up and upgrade the method for Cable Structure unit damage monitored amount unit change matrix Δ C.
Cable Structure unit damage monitored amount unit change matrix Δ C constantly updates, namely at the current initial mechanical Calculation Basis model A of renewal t owith monitored amount current initial value vector C t owhile, upgrade Cable Structure unit damage monitored amount unit change matrix Δ C.Concrete grammar is as follows:
At the current initial mechanical Calculation Basis model A of Cable Structure t obasis on carry out several times calculating, calculation times numerically equals the quantity of all evaluation objects.Calculating hypothesis each time only has an evaluation object (to use vectorial d toward initial damage ocorresponding element represent) basis on increase unit damage or unit translational displacement again, concrete, if this evaluation object is a support cable in cable system, so just suppose that this support cable has unit damage (such as getting 5%, 10%, 20% or 30% equivalent damage is unit damage), if this evaluation object is the translational displacement component in a direction of a bearing, just suppose that this bearing is at this sense of displacement generation unit translational displacement (such as 2mm, 5mm, 10mm etc. are unit translational displacement), use D ukrecord this unit damage or unit translational displacement, wherein k represents the numbering of the evaluation object that unit damage or unit translational displacement occur.With " unit damage or unit translational displacement vector D u" (such as formula (4) Suo Shi) record all unit damage or unit translational displacement.Occur in calculating each time that the evaluation object of unit damage or unit translational displacement is different from during other time calculates the evaluation object occurring unit damage or unit translational displacement, calculate the current calculated value all utilizing mechanics method (such as finite element 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, and (when supposing that a kth evaluation object has unit damage or unit translational displacement, available formula (5) represents monitored amount calculation current vector ); Calculate monitored amount calculation current vector each time deduct monitored amount current initial value vector C t oafter calculate the unit damage supposed or unit translational displacement numerical value D divided by this time again uk, gained vector is exactly that the monitored amount unit change vector of (being numbered mark with what have an evaluation object of unit damage or unit translational displacement) (when a kth evaluation object has unit damage or unit translational displacement, uses δ C under this condition krepresent monitored amount unit change vector, formula (6) is shown in definition), the Unit alteration amount of the monitored amount corresponding to this element that each element representation of monitored amount unit change vector causes owing to suppose there is the unit damage of that evaluation object of unit damage or unit translational displacement or unit translational displacement when calculating; N number of evaluation object is had just to have N number of monitored amount unit change vector, owing to there being M monitored amount, so each monitored amount unit change vector has M element, be made up of the monitored amount unit change matrix Δ C having M × N number of element successively this N number of monitored amount unit change vector, the definition of Δ C as the formula (6).
D u=[D u1D u2···D uk···D uN] T(4)
Unit damage or unit translational displacement vector D in formula (4) uelement D uk(k=1,2,3 ...., N) represent unit damage or the unit translational displacement numerical value of a kth evaluation object.
C t k = C t 1 k D t 2 k . . . C tj k . . . D tM k T - - - ( 5 )
Element in formula (5) (k=1,2,3 ...., N; J=1,2,3 ...., M) represent due to a kth evaluation object have unit damage or a unit translational displacement time, according to the current calculated amount of the individual monitored amount of the jth corresponding to coding rule.
δ C k = C t k - C o t D uk - - - ( 6 )
ΔC = ΔC 1,1 ΔC 1,2 . ΔC 1 , k . ΔC 1 , N ΔC 2,1 ΔC 2,2 . ΔC 2 , k . ΔC 2 , N . . . . . . ΔC j , 1 ΔC j , 2 . ΔC j , k . ΔC j , N . . . . . . ΔC M , 1 ΔC M , 2 . ΔC M , k . ΔC M , N - - - ( 7 )
Δ C in formula (7) j,k(k=1,2,3 ...., N; J=1,2,3 ...., M) represent only due to kth velamen evaluation object have unit damage or unit translational displacement to cause, according to the unit change (algebraic value) of the calculating current value of the monitored amount of the jth corresponding to coding rule, monitored amount unit change vector δ C kbe actually the row in matrix Δ C.
4. monitored amount current value vector C(calculates or actual measurement) with monitored amount current initial value vector C t o, unit damage monitored amount unit change matrix Δ C, unit damage or unit translational displacement vector D uand the linear approximate relationship between evaluation object current nominal fatigue vector d, shown in (8) or formula (9).The definition of evaluation object current nominal fatigue vector d is see formula (10).
C = C o t + ΔC · d - - - ( 8 )
C - C o t = ΔC · d - - - ( 9 )
d=[d 1d 2···d k···d N] T(10)
D in formula (10) k(k=1,2,3 ...., N) be the current health state of a kth evaluation object in Cable Structure, if this evaluation object is a support cable (or pull bar) in cable system, so d krepresent its current damage, d krepresent 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 translational displacement component, so a d of a bearing krepresent its current shift value.
The error of the linear relationship error vector e expression (8) that available formula (11) defines or the shown linear relationship of formula (9).
e = abs ( ΔC · d - C + C o t ) - - - ( 11 )
In formula (11), abs () is the function that takes absolute value, and takes absolute value to each element of the vector of trying to achieve in bracket.
The Part II of this method: the Cable Structure health state evaluation method of knowledge based storehouse (containing parameter) and the monitored amount of actual measurement.
There is certain error in the linear relationship represented by formula (8) or formula (9), therefore simply can not carry out direct solution according to formula (8) or formula (9) and actual measurement monitored amount current value vector C and obtain evaluation object current nominal fatigue vector d.If this has been doned, the element in the evaluation object obtained current nominal fatigue vector d even there will be larger negative value, namely negative damage, and this is obviously irrational.Therefore the acceptable solution of evaluation object current nominal fatigue vector d is obtained (namely with reasonable error, but position and the degree of injury thereof of damaged cable can be determined more accurately from cable system) become a rational solution, available formula (12) expresses this method.
abs ( ΔC · d - C + C o t ) ≤ g - - - ( 12 )
In formula (12), abs () is the function that takes absolute value, and vectorial g describes the legitimate skew departing from ideal linearity relation (formula (8) or formula (9)), is defined by formula (13).
g=[g 1g 2···g j···g M] T(13)
G in formula (13) j(j=1,2,3 ...., M) describe the maximum allowable offset departing from formula (8) or the ideal linearity relation shown in formula (9).The error vector e tentative calculation that vector g can define according to formula (11) is selected.
At monitored amount current initial value vector C t o, unit damage monitored amount unit change matrix Δ C, survey monitored amount current value vector C known time, suitable algorithm (such as multi-objective optimization algorithm) can be utilized to solve formula (12), obtain the acceptable solution of evaluation object current nominal fatigue vector d.
Definition evaluation object current actual damage vector d a(see formula (14)), evaluation object current actual damage vector d aelement can calculate according to formula (15), namely obtain evaluation object current actual damage vector d a, thus can by d adetermine the health status of evaluation object.
d a = d 1 a d 2 a . . . d k a . . . d N a T - - - ( 14 )
D in formula (14) a k(k=1,2,3 ...., N) represent the current actual health status of a kth evaluation object, formula (15) is shown in its definition, if this evaluation object is a support cable (or pull bar) in cable system, so d a krepresent its current actual damage, d a krepresent 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 translational displacement component, so a d of a bearing a krepresent its current actual translational displacement numerical value, vectorial d athe coding rule of element and formula (1) in vectorial d othe coding rule of element identical.
D in formula (15) ok(k=1,2,3 ...., N) be vectorial d oa kth element, d kit is a kth element of vectorial d.
Describe below and obtain evaluation object current actual damage vector d aafter, 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 (16) 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 - - - ( 16 )
F in formula (16) 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 ain the M relevant to support cable 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; Current actual damage vector d camiddle 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 ca hrepresent) represent this support cable and d ca 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 (17) 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 - - - ( 17 )
F in formula (17) 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 tsynchronization, 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 t oequal vector T t.
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 (18) 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 o M 1 T - - - ( 18 )
L in formula (18) 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 (19) 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 (20) 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 o M 1 T - - - ( 19 )
A in formula (19) 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 - - - ( 20 )
ω in formula (20) 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 (21) 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 t osupport cable drift during expression).According to " the temperature survey calculating method of the Cable Structure of this method ", pass through vector T t ocan determine obtaining vector T t 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 - - - ( 21 )
L in formula (21) 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 t 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 t ol is calculated by Typical physical t oh.
Vector d caelement, the element of vectorial F, vectorial l 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 t oduring expression, represent the current drift (formula (22) is shown in definition, and now support cable may be intact, also 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 - - - ( 22 )
L in formula (22) 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 (23) and formula (24) 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 = Δ l 1 Δ l 2 . . . Δ l h . . . Δ l M 1 T - - - ( 23 )
Δ l in formula (23) 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 (24), 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.
Δl h = l h - l oh t - - - ( 24 )
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 caafter, d cah element d ca h(h=1,2,3 ...., M 1) represent the actual damage value of h root support cable, although by d ca 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 support cable may be impaired, so d cah element d ca 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 ca hthe actual damage value of the h root support cable just represented, when h root support cable is actually lax, d a hthe h root support cable just represented with the actual damage value of lax equivalence, for sake of convenience, claim d in the method a 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 support cable current actual damage vector d cajust can identify the support cable that health status goes wrong afterwards, but in the support cable that goes wrong of these health status, some is impaired, some relaxes, if h support cable is actually relax (its current slack degree Δ l hdefinition), the current slack degree Δ l of h so lax support cable h(Δ l hdefinition see formula (23)) with the current actual damage degree d of damaged cable of equivalence ca hbetween relation determined by aforementioned two mechanic equivalent conditions.Δ l hsame d ca hbetween physical relationship can adopt accomplished in many ways, such as can directly determine (see formula (25)) 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 (26)), other method such as trial and error procedure based on finite element method also can be adopted to determine.
Δl h t = d h ca 1 - d h ca F h E h t A h t + F h l oh t - - - ( 25 )
Δl h t = d h ca 1 - d h ca 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 - - - ( 26 )
Formula (25) and the middle E of formula (26) t hthe current initial Cable Structure steady temperature data vector T of steady temperature data in Cable Structure t 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 t 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 t oduring expression, the current cable power of h root support cable, d ca 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 t 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 t oobtained by Typical physical and Mechanics Calculation.Item in formula (26) in [] is the Ernst equivalent elastic modulus of this support cable, just can determine support cable current slack degree vector Δ l by formula (25) or formula (26).Formula (26) is the correction to formula (25).
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 should 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 bearing translational displacement component to be evaluation object, if the quantity sum of the quantity of evaluated support cable and bearing translational displacement 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 translation 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 translation 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 translational displacement components of some bearings, so d othe numerical value of this element represent the initial value of this translational 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 translation displacement measurement data or can think that the displacement of Cable Structure bearing initial translation is 0, vectorial d oin each element numerical value relevant to Cable Structure bearing translational displacement get 0; Initial Cable Structure support coordinate data refer to the support coordinate data under Cable Structure design point, and Cable Structure bearing initial translation displacement measurement data refer to setting up initial mechanical Calculation Basis model A otime, the translational 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 translation 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; First time sets up the current initial mechanical Calculation Basis model A counting the Cable Structure of " Cable Structure steady temperature data " t o, monitored amount current initial value vector C t o" current initial Cable Structure steady temperature data vector T t o"; Set up the current initial mechanical Calculation Basis model A of Cable Structure for the first time t owith monitored amount current initial value vector C t otime, the current initial mechanical Calculation Basis model A of Cable Structure t ojust equal the initial mechanical Calculation Basis model A of Cable Structure o, monitored amount current initial value vector C t ojust equal monitored amount initial value vector C o; A t ocorresponding " Cable Structure steady temperature data " are called " current initial Cable Structure steady temperature data ", are designated as " current initial Cable Structure steady temperature data vector T t o", set up the current initial mechanical Calculation Basis model A of Cable Structure for the first time t otime, T t ojust equal T o; A t othe initial health of evaluation object and A othe health status of evaluation object identical, also use evaluation object initial damage vector d orepresent, A in cyclic process below t othe initial health of evaluation object use evaluation object initial damage vector d all the time 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; T t oand d oa t oparameter, C t oby A t omechanics Calculation result composition;
E. from entering the circulation being walked to o step by e here; In Cable Structure military service process, the current data of " Cable Structure steady temperature data " is constantly obtained according to " the temperature survey calculating method of the Cable Structure of this method " continuous Actual measurement, the current data of " Cable Structure steady temperature data " is called " current cable structure steady temperature data ", is designated as " current cable structure steady temperature data vector T t", vector T tdefinition mode and vector T odefinition mode identical; Current cable structure steady temperature data vector T is obtained in actual measurement tsynchronization, 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 tsynchronization, 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;
F. according to current cable structure steady temperature data vector T t, upgrade current initial mechanical Calculation Basis model A according to step f1 to f3 t o, monitored amount current initial value vector C t owith current initial Cable Structure steady temperature data vector T t o;
F1. T is compared twith T t oif, T tequal T t o, then A t o, C t oand T t oremain unchanged; Otherwise need to follow these steps to A t o, U t oand T t oupgrade;
F2. T is calculated twith T odifference, T twith T odifference be exactly the changes of current cable structure steady temperature data about initial Cable Structure steady temperature data, T twith T odifference represent with steady temperature change vector S, S equals T tdeduct T o, S represents the change of Cable Structure steady temperature data;
F3. 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 t o, upgrade A t owhile, T t oall elements numerical value also uses T tall elements numerical value correspondence replace, namely have updated T t o, so just obtain and correctly correspond to A t ot t o; Upgrade C t omethod be: when renewal A t oafter, obtain A by Mechanics Calculation t oin all monitored amounts, current concrete numerical value, these concrete numerical value composition C t o; A t othe initial health of support cable use evaluation object initial damage vector d all the time orepresent;
G. at current initial mechanical Calculation Basis model A t obasis on carry out several times Mechanics Calculation according to step g 1 to g4, obtain Cable Structure unit damage monitored amount unit change matrix Δ C and unit damage or unit translational displacement vector D by calculating u;
G1. Cable Structure unit damage monitored amount unit change matrix Δ C constantly updates, namely at the current initial mechanical Calculation Basis model A of renewal t o, monitored amount current initial value vector C t owith current initial Cable Structure steady temperature data vector T t oafterwards, the vectorial D of Cable Structure unit damage monitored amount unit change matrix Δ C and unit damage or unit translational displacement must then be upgraded u;
G2. at the current initial mechanical Calculation Basis model A of Cable Structure t 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 translational displacement again on the basis of original damage or translational 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 translational displacement component in a direction of a bearing, just suppose that this bearing increases unit translational displacement again at this sense of displacement, use D ukrecord unit damage or the unit translational displacement of this increase, wherein k represents the numbering of the evaluation object increasing unit damage or unit translational displacement, D ukunit damage or unit translational displacement vector D uan element, unit damage or unit translational displacement vector D uthe coding rule of element and vectorial d othe coding rule of element identical; The evaluation object increasing unit damage or unit translational displacement in calculating each time is again different from during other time calculates the evaluation object increasing unit damage or unit translational 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, element number rule and the monitored amount initial value vector C of monitored amount calculation current vector oelement number rule identical;
G3. the monitored amount calculation current vector calculated each time deducts monitored amount current initial value vector C t oobtain a vector, then each element of this vector is calculated the unit damage or unit translational displacement numerical value supposed divided by this time, obtain a monitored amount unit change vector, have N number of evaluation object just to have N number of monitored amount unit change vector;
G4. by the vectorial coding rule according to N number of evaluation object of this N number of monitored amount unit change, the Cable Structure unit damage monitored amount unit change matrix Δ C having N to arrange is formed successively; Each row of Cable Structure unit damage monitored amount unit change matrix Δ C correspond to a monitored amount unit change vector; Every a line of Cable Structure unit damage monitored amount unit change matrix Δ C corresponds to the different unit change amplitude of same monitored amount when different evaluation object increases unit damage or unit translational displacement; The coding rule of the row of Cable Structure unit damage monitored amount unit change matrix Δ C and vectorial d othe coding rule of element identical, the coding rule of the row of Cable Structure unit damage monitored amount unit change matrix Δ C is identical with the coding rule of M monitored amount;
H. current cable structure steady temperature data vector T is obtained in actual measurement twhile, actual measurement obtains at acquisition current cable structure steady temperature data vector T tthe current measured value of all monitored amount of Cable Structure of synchronization in moment, form monitored amount current value vector C; Monitored amount current value vector C and monitored amount current initial value vector C t owith monitored amount initial value vector C odefinition mode identical, the same monitored amount of element representation of three vectorial identical numberings is at not concrete numerical value in the same time;
I. evaluation object current nominal fatigue vector d is defined, the element number of evaluation object current nominal fatigue vector d equals the quantity of evaluation object, be one-to-one relationship between the element of evaluation object current nominal fatigue vector d and evaluation object, the element numerical value of evaluation object current nominal fatigue vector d represents the nominal fatigue degree of corresponding evaluation object or nominal translational displacement; The coding rule of the element of vector d and vectorial d othe coding rule of element identical;
J. according to monitored amount current value vector C with monitored amount current initial value vector C t o, Cable Structure unit damage monitored amount unit change matrix Δ C, unit damage or unit translational displacement vector D uand the linear approximate relationship existed between evaluation object to be asked current nominal fatigue vector d, this linear approximate relationship can be expressed as formula 1, and other amount in formula 1 except d is known, solves formula 1 and just can calculate evaluation object current nominal fatigue vector d;
C = C o t + ΔC · d Formula 1
K. evaluation object current actual damage vector d is defined a, evaluation object current actual damage vector d aelement number equal the quantity of evaluation object, evaluation object current actual damage vector d aelement and evaluation object between be one-to-one relationship, evaluation object current actual damage vector d aelement numerical value represent the actual damage degree of corresponding evaluation object or actual translational displacement; Vector d athe coding rule of element and vectorial d othe coding rule of element identical;
L. the evaluation object utilizing formula 2 to express current actual damage vector d aa kth element d a kwith evaluation object initial damage vector d oa kth element d okwith a kth element d of evaluation object current nominal fatigue vector d kbetween relation, calculate evaluation object current actual damage vector d aall elements;
formula 2
K=1 in formula 2,2,3 ...., N, d a krepresent the current actual health status of a kth evaluation object, d a krepresent when being 0 that a kth evaluation object is without health problem, d a 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 a 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 a kthe degree of the lax or damage of this support cable of numerical response, if this evaluation object is translational displacement component, so a d of a bearing a krepresent its current actual translational displacement numerical value; So according to evaluation object current actual damage vector d awhich support cable unsoundness problem and order of severity thereof can be defined, define which bearing and there occurs translational displacement and numerical value thereof;
M. by current for evaluation object actual damage vector d ain 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;
N. utilize at current cable structure steady temperature data vector T tunder condition, walk the slack line that identifies and with support cable current actual damage vector d at m cathese slack lines of expressing, with the current actual equivalent damage degree of its relax level mechanic equivalent, utilize e step obtain at current cable structure steady temperature data vector T tcurrent 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;
O. get back to e step, start the circulation next time being walked to o step by e.
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 translational displacement (comprising sedimentation) appears in Cable Structure bearing, when many support cables of Cable Structure are synchronously impaired or lax, and the temperature of Cable Structure along with time variations time, very monitor assessment can identify damaged cable, slack line and bearing translational displacement, the effective health monitoring of system and method disclosed in this method to Cable Structure is highly profitable.
Embodiment
When temperature variation, for the damaged cable of Cable Structure, slack line and the identification of bearing translational displacement, 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 bearing translational displacement.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 bearing translational displacement component of Cable Structure as N.For sake of convenience, this method unitedly calls evaluated support cable and bearing translational displacement 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 and 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 translation 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 translation displacement measurement data refer to setting up initial mechanical Calculation Basis model A otime, the translational 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 translation 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 translation displacement measurement data or can think that the displacement of Cable Structure bearing initial translation is 0, vectorial d oin each element numerical value relevant to Cable Structure bearing translational displacement 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: first time sets up current initial mechanical Calculation Basis model A t o, monitored amount current initial value vector C t o" current initial Cable Structure steady temperature data vector T t o", concrete grammar is: at initial time, and namely first time sets up current initial mechanical Calculation Basis model A t owith monitored amount current initial value vector C t otime, A t ojust equal A o, C t ojust equal C o, A t ocorresponding " Cable Structure steady temperature data " are designated as " current initial Cable Structure steady temperature data vector T t o", at initial time, (namely first time sets up A t otime), T t ojust equal T o, vector T t odefinition mode and vector T odefinition mode identical.A t othe health status of evaluation object and A oevaluation object health status (evaluation object initial damage vector d orepresent) identical, A in cyclic process t othe health status of evaluation object use evaluation object initial damage vector d all the time orepresent.T t oand d oa t oparameter, C t oby A t omechanics Calculation result composition.
4th step: in Cable Structure military service process, the current data obtaining " Cable Structure steady temperature data " according to " the temperature survey calculating method of the Cable Structure of this method " continuous Actual measurement (is called " current cable structure steady temperature data vector T t", vector T tdefinition mode and vector T odefinition mode identical).Current cable structure steady temperature data vector T is obtained in actual measurement twhile, namely at acquisition current cable structure steady temperature data vector T tthe synchronization in moment, actual measurement obtains the current measured value of all monitored amount of Cable Structure, composition " monitored amount current value vector C ".Current cable structure steady temperature data vector T is obtained in actual measurement tsynchronization, 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 tsynchronization, 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.
5th step: according to current cable structure steady temperature data vector T t, upgrade current initial mechanical Calculation Basis model A where necessary t o, monitored amount current initial value vector C t owith current initial Cable Structure steady temperature data vector T t o.Current cable structure steady temperature data vector T is obtained in the 4th step actual measurement tafter, compare T tand T t oif, T tequal T t o, then do not need A t oand T t oupgrade, otherwise need A t oand T t oupgrade, update method is carried out to c step by following a step:
A step calculates T twith T odifference, T twith T odifference be exactly the changes of current cable structure steady temperature data about initial Cable Structure steady temperature data, T twith T odifference represent with steady temperature change vector S, S equals T tdeduct T o, S represents the change of Cable Structure steady temperature data.
B 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 omiddle Cable Structure bearing applies the constraint of bearing translational displacement and to A oin Cable Structure apply temperature variation after obtain upgrade current initial mechanical Calculation Basis model A t o.
C step upgrades A t owhile, T t oall elements numerical value also uses T tall elements numerical value correspondence replace, namely have updated T t o, so just obtain and correctly correspond to A t ot t o; Upgrade C t omethod be: when renewal A t oafter, obtain A by Mechanics Calculation t oin all monitored amounts, current concrete numerical value, these concrete numerical value composition C t o.
6th step: at current initial mechanical Calculation Basis model A t obasis on carry out several times Mechanics Calculation, obtain Cable Structure unit damage monitored amount unit change matrix Δ C and unit damage or unit translational displacement vector D by calculating u.Concrete grammar is: Cable Structure unit damage monitored amount unit change matrix Δ C constantly updates, namely at the current initial mechanical Calculation Basis model A of renewal t owhile, Cable Structure unit damage monitored amount unit change matrix Δ C must be upgraded simultaneously; At the current initial mechanical Calculation Basis model A of Cable Structure t obasis on carry out several times Mechanics Calculation, calculation times numerically equals the quantity of all evaluation objects, N number of evaluation object is had just to have N calculating, calculating hypothesis each time only has an evaluation object to have unit damage or unit translational displacement, concrete, if this evaluation object is a support cable in cable system, so just suppose that this support cable is at vectorial d 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 translational displacement component in a direction of a bearing, just suppose this bearing at this sense of displacement at vectorial d othere is unit translational displacement (such as 2mm, 5mm, 10mm etc. are unit translational displacement) again in the basis that this bearing represented has a translational displacement, use D ukrecord this unit damage or unit translational displacement, wherein k represents the numbering of the evaluation object that unit damage or unit translational displacement occur, D ukunit damage or unit translational displacement vector D uan element, unit damage or unit translational displacement vector D 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 translational displacement is different from during other time calculates the evaluation object occurring unit damage or unit translational 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 C, element number rule and the monitored amount initial value vector C of monitored amount calculation current vector oelement number rule identical; The monitored amount calculation current vector C calculated each time deducts monitored amount current initial value vector C t oafter calculate the unit damage supposed or unit translational displacement numerical value divided by this time again, obtain a monitored amount unit change vector, have N number of evaluation object just to have N number of monitored amount unit change vector; The unit damage monitored amount unit change matrix Δ C having N to arrange is formed successively by this N number of monitored amount unit change vector; Each row of unit damage monitored amount unit change matrix correspond to a monitored amount unit change vector, and every a line of Cable Structure unit damage monitored amount unit change matrix Δ C corresponds to the different unit change amplitude of same monitored amount when different evaluation object generation unit damage or unit translational displacement; The coding rule of the row of Cable Structure unit damage monitored amount unit change matrix Δ C and vectorial d othe coding rule of element identical, the coding rule of the row of Cable Structure unit damage monitored amount unit change matrix Δ C is identical with the coding rule of M monitored amount.
7th step: set up linear relationship error vector e and vectorial g.Utilize (the monitored amount current initial value vector C of data above t o, unit damage monitored amount unit change matrix Δ C), while the 6th step calculates each time, namely only have increase unit damage or the unit translational displacement D of an evaluation object calculating each time in hypothesis evaluation object ukthe evaluation object increasing unit damage or unit translational displacement in calculating each time is different from during other time calculates the evaluation object increasing unit damage or unit translational displacement, calculate the current value all utilizing mechanics method (such as adopting finite element method) to calculate all monitored amounts in Cable Structure each time, while calculating the monitored amount calculation current vector C of composition one each time, calculate composition injury vector d each time, originally walk out of existing injury vector d only to use in this step, in all elements of injury vector d, only have the numerical value of an element to get D uk, the numerical value of other element gets 0, the coding rule of the element of injury vector d and vectorial d othe coding rule of element identical; By C, C t o, Δ C, D u, d brings formula (11) into, obtain a linear relationship error vector e, calculate a linear relationship error vector e each time; N number of evaluation object is had just to have N calculating, just there is N number of linear relationship error vector e, obtaining a vector after being added by this N number of linear relationship error vector e, is exactly final linear relationship error vector e by each element of this vector divided by the new vector obtained after N.Vector g equals final error vector e.
8th 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.
9th step: by current for monitored amount initial value vector C t o, unit damage monitored amount unit change matrix Δ C, unit damage or unit translational displacement vector D uparameter is kept on the hard disc of computer of operation health monitoring systems software in the mode of data file.
Tenth step: establishment and on computers installation and operation temperature variation time the problem cable of hybrid monitoring and support translation identification method system software, the function (in this specific implementation method all work that can complete with computing machine) such as monitoring, record, control, storage, calculating, notice, warning that this software will complete this method " during temperature variation the problem cable of hybrid monitoring and support translation identification method " required by task and wants
11 step: according to monitored amount current value vector C with monitored amount current initial value vector C t o, unit damage monitored amount unit change matrix Δ C, unit damage or unit translational displacement vector D uand evaluation object current nominal fatigue vector d(be made up of all Suo Dangqian nominal fatigue amounts) between exist linear approximate relationship (formula (8)), calculate the noninferior solution of evaluation object current nominal fatigue vector d according to multi-objective optimization algorithm, 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 (GoalAttainment Method) etc.Because various multi-objective optimization algorithm is all conventional algorithm, can realize easily, this implementation step only provides the process solving current injury vector d for Objective Programming, 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 (8) can transform the multi-objective optimization question shown in an accepted way of doing sth (27) and formula (28), in formula (27), γ is a real number, R is real number field, area of space Ω limits the span (each element of the present embodiment requirements vector d is not less than 0, is not more than 1) of each element of vectorial d.Formula (27) be meant to the minimum real number γ of searching one, formula (28) is met.In formula (28), G (d) is defined by formula (29), and the middle deviation allowed between G (d) and vectorial g of the product representation formula (28) of weighing vector W and γ in formula (28), the definition of g is see formula (13), and its value calculates in the 7th step.During actual computation, vector W can be identical with vectorial g.The concrete programming realization of Objective Programming has had universal program directly to adopt.Use Objective Programming just can in the hope of evaluation object current nominal fatigue vector d.
minimize γ
(27)
γ∈R,d∈Ω
G(d)-Wγ≤g (28)
G ( d ) = abs ( ΔC · d - C + C o t ) - - - ( 29 )
The element number of evaluation object current nominal fatigue vector d equals the quantity of evaluation object, be one-to-one relationship between the element of evaluation object current nominal fatigue vector d and evaluation object, the element numerical value of evaluation object current nominal fatigue vector d represents the nominal fatigue degree of corresponding evaluation object or nominal translational displacement; The coding rule of the element of vector d and vectorial d othe coding rule of element identical.
12 step: definition evaluation object current actual damage vector d a, evaluation object current actual damage vector d aelement number equal the quantity of evaluation object, evaluation object current actual damage vector d aelement and evaluation object between be one-to-one relationship, evaluation object current actual damage vector d aelement numerical value represent the actual damage degree of corresponding evaluation object or actual translational displacement; Vector d athe coding rule of element and vectorial d othe coding rule of element identical.The evaluation object utilizing formula (15) to express current actual damage vector d aa kth element d a kwith evaluation object initial damage vector d oa kth element d okwith a kth element d of evaluation object current nominal fatigue vector d kbetween relation, calculate evaluation object current actual damage vector d aall elements; d akrepresent the current actual health status of a kth evaluation object, if this evaluation object is support cable, so a d in cable system a krepresent its current actual damage, d a krepresent when being 0 that the support cable of its correspondence is without health problem, d a 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 translational displacement component, so a d of a bearing a krepresent its current actual translational displacement numerical value; So according to evaluation object current actual damage vector d awhich support cable unsoundness problem and order of severity thereof can be defined, define which bearing and there occurs translational displacement and numerical value thereof; So far the bearing translational displacement identification of Cable Structure is achieved.
13 step: by current for evaluation object actual damage vector d ain the M relevant to support cable 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.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 cain corresponding element numerical value (such as one of them element can use d ca 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 ca, 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 cathe 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.
14 step: utilize at current cable structure steady temperature data vector T tthe support cable current actual damage vector d obtained in the 13 step under condition cathat obtain slack line with current actual equivalent damage degree that is its relax level mechanic equivalent, utilize the 4th step obtain at current cable structure steady temperature data vector T tcurrent 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 trepresent 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 (25) or formula (26).So just achieve the lax identification of support cable.So far damaged cable, slack line and bearing translational displacement is just all identified.
15 step: the computing machine in health monitoring systems regularly generates cable system health condition form automatically or by human users's health monitoring systems.
16 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.
17 step: get back to the 4th step, starts by the circulation of the 4th step to the 17 step.

Claims (2)

1. the problem cable of hybrid monitoring and a support translation identification method during temperature variation, is characterized in that described method comprises:
A. for sake of convenience, this method unitedly calls evaluated support cable and bearing translational displacement component to be evaluation object, if the quantity sum of the quantity of evaluated support cable and bearing translational displacement 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, 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, 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 ", 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 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 ", 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 a moment 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 translation 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 translation 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 translational displacement components of some bearings, so d othe numerical value of this element represent the initial value of this translational 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 translation displacement measurement data or can think that the displacement of Cable Structure bearing initial translation is 0, vectorial d oin each element numerical value relevant to Cable Structure bearing translational displacement get 0; Initial Cable Structure support coordinate data refer to the support coordinate data under Cable Structure design point, and Cable Structure bearing initial translation displacement measurement data refer to setting up initial mechanical Calculation Basis model A otime, the translational 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 translation 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; First time sets up the current initial mechanical Calculation Basis model A counting the Cable Structure of " Cable Structure steady temperature data " t o, monitored amount current initial value vector C t o" current initial Cable Structure steady temperature data vector T t o"; Set up the current initial mechanical Calculation Basis model A of Cable Structure for the first time t owith monitored amount current initial value vector C t otime, the current initial mechanical Calculation Basis model A of Cable Structure t ojust equal the initial mechanical Calculation Basis model A of Cable Structure o, monitored amount current initial value vector C t ojust equal monitored amount initial value vector C o; A t ocorresponding " Cable Structure steady temperature data " are called " current initial Cable Structure steady temperature data ", are designated as " current initial Cable Structure steady temperature data vector T t o", set up the current initial mechanical Calculation Basis model A of Cable Structure for the first time t otime, T t ojust equal T o; A t othe initial health of evaluation object and A othe health status of evaluation object identical, also use evaluation object initial damage vector d orepresent, A in cyclic process below t othe initial health of evaluation object use evaluation object initial damage vector d all the time 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; T t oand d oa t oparameter, C t oby A t omechanics Calculation result composition;
E. from entering the circulation being walked to o step by e here; In Cable Structure military service process, the current data of " Cable Structure steady temperature data " is constantly obtained according to " the temperature survey calculating method of the Cable Structure of this method " continuous Actual measurement, the current data of " Cable Structure steady temperature data " is called " current cable structure steady temperature data ", is designated as " current cable structure steady temperature data vector T t", vector T tdefinition mode and vector T odefinition mode identical; Current cable structure steady temperature data vector T is obtained in actual measurement tsynchronization, 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 tsynchronization, 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;
F. according to current cable structure steady temperature data vector T t, upgrade current initial mechanical Calculation Basis model A according to step f1 to f3 t o, monitored amount current initial value vector C t owith current initial Cable Structure steady temperature data vector T t o;
F1. T is compared twith T t oif, T tequal T t o, then A t o, C t oand T t oremain unchanged; Otherwise need to follow these steps to A t o, C t oand T t oupgrade;
F2. T is calculated twith T odifference, T twith T odifference be exactly the changes of current cable structure steady temperature data about initial Cable Structure steady temperature data, T twith T odifference represent with steady temperature change vector S, S equals T tdeduct T o, S represents the change of Cable Structure steady temperature data;
F3. 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 t o, upgrade A t owhile, T t oall elements numerical value also uses T tall elements numerical value correspondence replace, namely have updated T t o, so just obtain and correctly correspond to A t ot t o; Upgrade C t omethod be: when renewal A t oafter, obtain A by Mechanics Calculation t oin all monitored amounts, current concrete numerical value, these concrete numerical value composition C t o; A t othe initial health of support cable use evaluation object initial damage vector d all the time orepresent;
G. at current initial mechanical Calculation Basis model A t obasis on carry out several times Mechanics Calculation according to step g 1 to g4, obtain Cable Structure unit damage monitored amount unit change matrix Δ C and unit damage or unit translational displacement vector D by calculating u;
G1. Cable Structure unit damage monitored amount unit change matrix Δ C constantly updates, namely at the current initial mechanical Calculation Basis model A of renewal t o, monitored amount current initial value vector C t owith current initial Cable Structure steady temperature data vector T t oafterwards, the vectorial D of Cable Structure unit damage monitored amount unit change matrix Δ C and unit damage or unit translational displacement must then be upgraded u;
G2. at the current initial mechanical Calculation Basis model A of Cable Structure t 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 translational displacement again on the basis of original damage or translational 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 translational displacement component in a direction of a bearing, just suppose that this bearing increases unit translational displacement again at this sense of displacement, use D ukrecord unit damage or the unit translational displacement of this increase, wherein k represents the numbering of the evaluation object increasing unit damage or unit translational displacement, D ukunit damage or unit translational displacement vector D uan element, unit damage or unit translational displacement vector D uthe coding rule of element and vectorial d othe coding rule of element identical; The evaluation object increasing unit damage or unit translational displacement in calculating each time is again different from during other time calculates the evaluation object increasing unit damage or unit translational 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, element number rule and the monitored amount initial value vector C of monitored amount calculation current vector oelement number rule identical;
G3. the monitored amount calculation current vector calculated each time deducts monitored amount current initial value vector C t oobtain a vector, then each element of this vector is calculated the unit damage or unit translational displacement numerical value supposed divided by this time, obtain a monitored amount unit change vector, have N number of evaluation object just to have N number of monitored amount unit change vector;
G4. by the vectorial coding rule according to N number of evaluation object of this N number of monitored amount unit change, the Cable Structure unit damage monitored amount unit change matrix Δ C having N to arrange is formed successively; Each row of Cable Structure unit damage monitored amount unit change matrix Δ C correspond to a monitored amount unit change vector; Every a line of Cable Structure unit damage monitored amount unit change matrix Δ C corresponds to the different unit change amplitude of same monitored amount when different evaluation object increases unit damage or unit translational displacement; The coding rule of the row of Cable Structure unit damage monitored amount unit change matrix Δ C and vectorial d othe coding rule of element identical, the coding rule of the row of Cable Structure unit damage monitored amount unit change matrix Δ C is identical with the coding rule of M monitored amount;
H. current cable structure steady temperature data vector T is obtained in actual measurement twhile, actual measurement obtains at acquisition current cable structure steady temperature data vector T tthe current measured value of all monitored amount of Cable Structure of synchronization in moment, form monitored amount current value vector C; Monitored amount current value vector C and monitored amount current initial value vector C t owith monitored amount initial value vector C odefinition mode identical, the same monitored amount of element representation of three vectorial identical numberings is at not concrete numerical value in the same time;
I. evaluation object current nominal fatigue vector d is defined, the element number of evaluation object current nominal fatigue vector d equals the quantity of evaluation object, be one-to-one relationship between the element of evaluation object current nominal fatigue vector d and evaluation object, the element numerical value of evaluation object current nominal fatigue vector d represents the nominal fatigue degree of corresponding evaluation object or nominal translational displacement; The coding rule of the element of vector d and vectorial d othe coding rule of element identical;
J. according to monitored amount current value vector C with monitored amount current initial value vector C t o, Cable Structure unit damage monitored amount unit change matrix Δ C, unit damage or unit translational displacement vector D uand the linear approximate relationship existed between evaluation object to be asked current nominal fatigue vector d, this linear approximate relationship can be expressed as formula 1, and other amount in formula 1 except d is known, solves formula 1 and just can calculate evaluation object current nominal fatigue vector d;
C = C o t + ΔC · d Formula 1
K. evaluation object current actual damage vector d is defined a, evaluation object current actual damage vector d aelement number equal the quantity of evaluation object, evaluation object current actual damage vector d aelement and evaluation object between be one-to-one relationship, evaluation object current actual damage vector d aelement numerical value represent the actual damage degree of corresponding evaluation object or actual translational displacement; Vector d athe coding rule of element and vectorial d othe coding rule of element identical;
L. the evaluation object utilizing formula 2 to express current actual damage vector d aa kth element d a kwith evaluation object initial damage vector d oa kth element d okwith a kth element d of evaluation object current nominal fatigue vector d kbetween relation, calculate evaluation object current actual damage vector d aall elements;
formula 2
K=1 in formula 2,2,3 ...., N, d a krepresent the current actual health status of a kth evaluation object, d a krepresent when being 0 that a kth evaluation object is without health problem, d a 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 a 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 a kthe degree of the lax or damage of this support cable of numerical response, if this evaluation object is translational displacement component, so a d of a bearing a krepresent its current actual translational displacement numerical value; So according to evaluation object current actual damage vector d awhich support cable unsoundness problem and order of severity thereof can be defined, define which bearing and there occurs translational displacement and numerical value thereof;
M. by current for evaluation object actual damage vector d ain 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;
N. utilize at current cable structure steady temperature data vector T tunder condition, walk the slack line that identifies and with support cable current actual damage vector d at m cathese slack lines of expressing, with the current actual equivalent damage degree of its relax level mechanic equivalent, utilize e step obtain at current cable structure steady temperature data vector T tcurrent 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;
O. get back to e step, start the circulation next time being walked to o step by e.
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