CN102323093A - Angle monitoring based cable system progressive health monitoring method applied in supporting seat generalized displacement - Google Patents

Angle monitoring based cable system progressive health monitoring method applied in supporting seat generalized displacement Download PDF

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CN102323093A
CN102323093A CN201110143139A CN201110143139A CN102323093A CN 102323093 A CN102323093 A CN 102323093A CN 201110143139 A CN201110143139 A CN 201110143139A CN 201110143139 A CN201110143139 A CN 201110143139A CN 102323093 A CN102323093 A CN 102323093A
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cable structure
damage
rope
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韩玉林
吴志友
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Southeast University
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Southeast University
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Abstract

The invention discloses an angle monitoring based cable system progressive health monitoring method applied in supporting seat generalized displacement. The need of updating a mechanical calculation reference model of a structure once again is decided by monitoring supporting seat generalized coordinates of the structure, based on angle monitoring. Aiming at the defect that linear relations between a current numeric vector of a monitored quantity and an initial numeric vector of the monitored quality, a unit damage monitored quantity variance matrix and a current nominal damage vector are approximate, the invention provides a method for segmentally approximating a nonlinear relation by using a linear relation. A large interval is partitioned into continuous small intervals, the linear relation in each small interval is accurate enough, a noninferior solution of a current cable damage vector can be calculated quickly with appropriate algorithms such as a multi-target optimization algorithm and the like, and the position and damage degree of a damaged cable can be determined accurately.

Description

During the bearing generalized displacement based on the progressive health monitoring method of the cable system of angle monitor
Technical field
Structures such as cable-stayed bridge, suspension bridge, truss-frame structure have a common ground; Be exactly that they have many parts that bear tensile load; Like suspension cable, main push-towing rope, hoist cable, pull bar or the like; The common ground of this class formation is to be support unit with rope, cable or the rod member that only bears tensile load, and the present invention is " Cable Structure " with such structure representation for simplicity.(for example the bearing generalized displacement refers to that bearing is along the angular displacement around X, Y, Z axle of the displacement of the lines of X, Y, Z axle and bearing in that the bearing generalized displacement is arranged; Corresponding to the bearing generalized displacement; The bearing generalized coordinate refers to that bearing is about the coordinate of X, Y, Z axle and the bearing angular coordinate about X, Y, Z axle) time; The supporting system of the invention discloses a kind of progressive method, discerning Cable Structure based on angle monitor (refers to all ropeway carrying-ropes, and all rod members that only bear tensile load that play supporting role; For simplicity; This patent is called " cable system " with whole support unit unifications of this class formation; But in fact cable system not only refers to support rope, also comprises the rod member that only bears tensile load) in the method for damaged cable (truss-frame structure just is meant the impaired rod member that only bears tensile load), belong to the engineering structure health monitoring field.
Background technology
Cable system is the key components of Cable Structure normally; Its inefficacy usually brings the inefficacy of total, and the damaged cable of discerning based on structural health monitoring technology in the cable system of Cable Structure (also referring to only bear the rod member of tensile load as previously mentioned) is a kind of method that has potentiality.After the health status of cable system changes; Can cause the variation of the measurable parameter of structure; For example caused variation (the for example arbitrarily variation of the angle coordinate of the straight line of any this point of mistake in any section of body structure surface of angle coordinate of any imaginary line of the every bit of Cable Structure; The perhaps body structure surface variation of the angle coordinate of the normal of any arbitrarily); In fact the variation of structure angle has comprised the health status information of cable system, that is to say the health status that can utilize the structural angle degrees of data to judge structure, can (the present invention is called monitored angle-data " monitored amount " based on angle monitor; The back is mentioned " monitored amount " and just is meant monitored angle-data) discern damaged cable; Monitored amount also can receive the influence of Cable Structure bearing generalized displacement (usually can take place) except the influence that receives the cable system health status, also do not have a kind of disclosed, effective health monitoring systems and method to solve this problem at present.
When the bearing generalized displacement is arranged; In order reliable monitoring and judgement to be arranged to the health status of the cable system of Cable Structure; The method of the variation of an angle-data of can rational and effective setting up Cable Structure with the relation between the health status of all ropes in the cable system must be arranged, and the health monitoring systems of setting up based on this method can provide the health evaluating of more believable cable system.
Summary of the invention
Technical matters:The objective of the invention is when the Cable Structure bearing has generalized displacement; To the health monitoring problem of cable system in the Cable Structure, provide a kind of based on angle monitor, in the time of can monitoring bearing generalized displacement in the Cable Structure rationally and effectively based on the progressive health monitoring method of the cable system of angle monitor
Technical scheme:The present invention is made up of the two large divisions.Be respectively: one, set up the method for required knowledge base of cable system health monitoring systems and parameter, and based on the angle of knowledge base (containing parameter) and actual measurement Cable Structure and the laddering health status appraisal procedure of cable system of actual measurement Cable Structure bearing generalized displacement; Two, the software and hardware part of health monitoring systems.
First of the present invention: set up the method for required knowledge base of cable system health monitoring systems and parameter, and based on the angle of knowledge base (containing parameter) and actual measurement Cable Structure and the laddering health status appraisal procedure of cable system of actual measurement Cable Structure bearing generalized displacement.Can be successively circularly as follows, laddering carrying out, to obtain the health status assessment of cable system more accurately.
The first step: during circulation beginning each time, the cable system initial damage vector in the time of at first need setting up or set up this circulation beginning d o i ( i=1,2,3 ...), set up the initial Mechanics Calculation benchmark model A of Cable Structure o(for example finite element benchmark model, A in the present invention oBe constant), set up the current Mechanics Calculation benchmark model A of Cable Structure Ti o(finite element benchmark model for example, A in circulation each time Ti oBring in constant renewal in), set up the Mechanics Calculation benchmark model A of Cable Structure i(finite element benchmark model for example, i=1,2,3 ...).Letter i is except the place of representing number of steps significantly, and alphabetical in the present invention i only representes cycle index, i.e. the i time circulation.
If it is total in the cable system NThe root rope, the cable system initial damage vector that needs during the i time circulation beginning is designated as d o i (shown in (1)) is used d o i Cable Structure is (with Mechanics Calculation benchmark model A when representing this time circulation beginning iThe health status of cable system expression).
Figure 658987DEST_PATH_IMAGE001
(1)
In the formula (1) d i Oj ( i=1,2,3, ; j=1,2,3 ...., N) expression circulates for the i time when beginning, Mechanics Calculation benchmark model A iIn cable system jThe initial damage value of root rope, d i Oj Be to represent at 0 o'clock jRoot rope not damaged is to represent that this rope thoroughly lost load-bearing capacity at 100% o'clock, representes in the time of between 0 and 100% jThe load-bearing capacity of root rope forfeiture corresponding proportion.
Setting up cable system initial damage vector during circulation beginning for the first time (is designated as according to formula (1) d 1 o ) time, the data of utilizing the Non-Destructive Testing data etc. of rope can express the health status of rope are set up cable system initial damage vector d 1 o If when not having the data of Non-Destructive Testing data and other health status that can express rope of rope, perhaps can think when the structure original state is the not damaged state vector d 1 o Each element numerical value get 0.
The i time ( i=2,3,4,5,6 ...) the cable system initial damage vector of needs when circulation begins d i o , be preceding once (promptly the i-1 time, i=2,3,4,5,6 ...) the preceding calculating acquisition of loop ends, concrete grammar is civilian the narration in the back.
The Mechanics Calculation benchmark model that need set up during the i time circulation beginning or the Mechanics Calculation benchmark model of having set up are designated as A i
The measured data of the Cable Structure in being completed according to Cable Structure (comprises that the Non-Destructive Testing data etc. of rope can express measured datas such as the data of the health status of rope, Cable Structure shape data, rope force data, draw-bar pull data, Cable Structure bearing generalized coordinate data, Cable Structure modal data; To cable-stayed bridge, suspension bridge and the modal data of the bridge type data of Yan Shiqiao, rope force data, bridge) and design drawing, as-constructed drawing, utilize mechanics method (for example finite element method) to set up A oIf there is not the measured data of the structure in the Cable Structure completion; So just before setting up health monitoring systems, structure is surveyed; The measured data that obtains Cable Structure (comprises measured datas such as Cable Structure shape data, rope force data, draw-bar pull data, Cable Structure bearing generalized coordinate data, Cable Structure modal data; To cable-stayed bridge, suspension bridge and bridge type data of Yan Shiqiao, rope force data, the modal data of bridge, the Non-Destructive Testing data of rope etc. can be expressed the data of the health status of rope); According to design drawing, the as-constructed drawing of these data and Cable Structure, utilize mechanics method (for example finite element method) to set up A oNo matter which kind of method to obtain A with o, based on A oThe Cable Structure computational data that calculates (to cable-stayed bridge, suspension bridge and the modal data of the bridge type data of Yan Shiqiao, rope force data, bridge) must be very near its measured data, and error generally must not be greater than 5%.Can guarantee to utilize A like this oStrain computational data, Suo Li computational data, Cable Structure shape computational data and displacement computational data, Cable Structure angle-data etc. under the analog case of calculating gained, the measured data when truly taking place near institute's analog case reliably.Corresponding to A oCable Structure bearing generalized coordinate data form initial Cable Structure bearing generalized coordinate vector U oA oWith U oBe constant, only when circulation beginning for the first time, set up.
The Mechanics Calculation benchmark model of the Cable Structure of setting up during circulation beginning for the first time is designated as A 1, A 1Just equal A o
The i time ( i=2,3,4,5,6 ...) the Mechanics Calculation benchmark model A of needs when circulation begins i, be preceding once (promptly the i-1 time, i=2,3,4,5,6 ...) the preceding calculating acquisition of loop ends, concrete grammar is civilian the narration in the back.
Existing Mechanics Calculation benchmark model A 1With cable system initial damage vector d 1 o After, model A 1In the damage of each rope by vector d 1 o Express.At A 1The basis on, the damage of all ropes is changed to 0, mechanical model A 1The damage that is updated to all ropes all is that 0 mechanical model (is designated as A 0), mechanical model A 0Be actually the corresponding mechanical model of intact Cable Structure.Might as well claim model A 0Not damaged model A for Cable Structure 0
" the whole monitored angle-data of structure " is by on the structure KIndividual specified point, cross each specified point LIndividual appointment straight line, each specifies straight line HIndividual angle coordinate component is described, and the variation of structure angle is exactly the variation of the angle coordinate component of all appointments all specified points, all appointment straight lines.Each total M (M=K * L * H)Individual angle coordinate component measurement value or calculated value characterize the angle information of structure. KWith MMust not be less than the quantity of supporting rope NFor simplicity, in the present invention " the monitored angle-data of structure " abbreviated as " monitored amount ".
The present invention is with " the initial value vector of monitored amount C i o " ( i=1,2,3 ...) expression the i time ( i=1,2,3,4,5,6 ...) initial value (referring to formula (2)) of the monitored amount of all appointments when circulation begins, C i o Full name be " the initial value vector of the i time monitored amount of circulation ".
Figure 11470DEST_PATH_IMAGE002
(2)
In the formula (2) C i Ok ( i=1,2,3, k=1,2,3, ., M; M>=N;) be in the i time when beginning circulation, the Cable Structure the kIndividual monitored amount.Vector C i o Define by the front MIndividual monitored amount forms according to certain series arrangement, and this is put in order does not have specific (special) requirements, only require all associated vector of back also in this order array data get final product.
 
During circulation beginning for the first time, " the initial value vector of the 1st the monitored amount that circulates C 1 o " (seeing formula (2)) be made up of measured data, because according to model A 1The initial value of calculating the monitored amount of gained approaches corresponding measured value reliably, in the narration of back, will represent this calculated value composition of vector and measured value composition of vector with prosign.
The i time ( i=2,3,4,5,6 ...) when beginning circulation need " initial value of the i time monitored amount of circulation is vectorial C i o ", be preceding once (promptly the i-1 time, i=2,3,4,5,6 ...) the preceding calculating acquisition of loop ends, concrete grammar is civilian the narration in the back.
Second step: in Cable Structure military service process, in circulation each time, constantly (all data are formed current cable structure actual measurement bearing generalized coordinate vector to actual measurement acquisition Cable Structure bearing generalized coordinate current data U Ti , vector U Ti Definition mode with the vector U oIdentical).For simplicity, for the i time circulation, the Cable Structure bearing generalized coordinate current data the when last time is upgraded current Mechanics Calculation benchmark model is designated as current cable structural bearings generalized coordinate vector U Ti oSet up and renewal A Ti oMethod be: in round-robin each time zero hour, the current Mechanics Calculation benchmark model A of Cable Structure Ti oJust equal A i( i=1,2,3,4,5,6 ...).In Cable Structure military service process, constantly actual measurement obtains Cable Structure bearing generalized coordinate data and obtains current cable structure actual measurement bearing generalized coordinate vector U Ti If, U Ti Equal U Ti o, then need be to A Ti oUpgrade; If U Ti Be not equal to U Ti o, then need be to A Ti oUpgrade, at this moment U Ti With U oDifference be exactly the Cable Structure bearing about initial position (corresponding to A o) the bearing generalized displacement (with bearing generalized displacement vector VThe generalized displacement of expression bearing).Upgrade A Ti oMethod be: at A oThe basis on make that the health status of rope is cable system initial damage vector d i o , more further to A oIn the Cable Structure bearing apply current bearing generalized displacement constraint, the numerical value of current bearing generalized displacement constraint is just taken from current bearing generalized displacement vector VThe numerical value of middle corresponding element is to A oIn the Cable Structure bearing apply current bearing generalized displacement constraint after, that finally obtain is exactly the current Mechanics Calculation benchmark model A of renewal Ti o, upgrade A Ti oThe time, U Ti oAll elements numerical value is also used U Ti All elements numerical value replaces, and has promptly upgraded U Ti o, so just obtained correctly corresponding to A Ti o U Ti o
 
The 3rd step: circulation each time needs to set up " unit damage monitored quantitative change matrix " and " nominal unit damage vector ", and " unit damage monitored quantitative change matrix " that the i time circulation set up is designated as Δ C i ( i=1,2,3 ...)." nominal unit damage vector " that the i time circulation set up is designated as D i u In circulation each time Δ C i With D i u Bring in constant renewal in, promptly upgrading current Mechanics Calculation benchmark model A Ti oThe time, upgrade Cable Structure unit damage monitored quantitative change matrix Δ C i With nominal unit damage vector " be designated as D i u
Set up and renewal Cable Structure unit damage monitored quantitative change matrix Δ C i With nominal unit damage vector " be designated as D i u Process following:
Current Mechanics Calculation benchmark model A in Cable Structure Ti oThe basis on carry out several times and calculate, equal the quantity of all ropes on the calculation times numerical value.Calculating each time in the hypothesis cable system has only a rope on the basis of original damage (original damage can be 0, can not be 0 also), to increase unit damage (for example getting 5%, 10%, 20% or 30% equivalent damage is unit damage) again.Calculate for convenient; When setting unit damage in the circulation each time can all be structural health conditions during this time circulation beginning as being healthy fully, and set on this basis unit damage (in subsequent step, damage numerical value that calculate, rope---be called the name damage d i c ( i=1,2,3 ...), all with respect to this time when beginning circulation, with the health status of rope as being healthy fully speech, therefore must according to after the formula that provides of the literary composition name that will calculate damage and be converted into true damage.）。The rope of appearance damage was different from the rope that appearance damages in other time calculating during a round-robin calculated each time together, and supposed that each time the unit damage value of the rope that damage is arranged can be different from the unit damage value of other ropes, with " nominal unit damage is vectorial D i u " (shown in (3)) write down the unit damage of the supposition of all ropes in each time circulation, circulation time is designated as for the first time D 1 u , calculate each time all utilize mechanics method (for example finite element method) calculate Cable Structure, appointment in front MThe current calculated value of individual monitored amount calculates gained each time MThe current calculated value of individual monitored amount is formed one " the current numerical value vector of the calculating of monitored amount " (when hypothesis the jWhen the root rope had unit damage, available formula (4) was represented all appointments MThe current numerical value vector of the calculating of individual monitored amount C 1 Tj ); The current numerical value vector of the calculating of the monitored amount that calculates each time deducts the initial value vector of monitored amount C 1 o , the gained vector is exactly that " the numerical value change vector of monitored amount " of (is mark with the position of rope that unit damage is arranged or numbering etc.) is (when the under this condition jWhen the root rope has unit damage, use δ C 1 j The numerical value change vector of representing monitored amount, δ C 1 j Definition see formula (5), formula (6) and formula (7), formula (5) deducts after the formula (2) again divided by vector for formula (4) D 1 u jIndividual element D Uj Gained), the numerical value change of monitored amount vector δ C 1 j Each element representation since when calculating supposition the Na Gensuo (for example the of unit damage is arranged jThe root rope) unit damage (for example D Uj ), and the numerical value change amount of the pairing monitored amount of this element that causes is with respect to the unit damage of supposition D Uj Rate of change; Have NThe root rope just has NIndividual " the numerical value change vector of monitored amount ", the numerical value change vector of each monitored amount has M(it is general, M>=N) individual element, by this NIndividual " the numerical value change vector of monitored amount " formed successively to be had M * N" the unit damage monitored quantitative change matrix of individual element Δ C 1 " (MOK NRow ), each vector δ C 1 j ( j=1,2,3 ...., N) be matrix Δ C 1 One row, Δ C 1 Definition suc as formula shown in (8).
Figure 642434DEST_PATH_IMAGE003
(3)
Nominal unit damage vector in the formula (3) D i u Element D i Uj ( i=1,2,3, j=1,2,3 ...., N) expression the iSuppose in the inferior circulation jThe unit damage numerical value of root rope, vector D i u In the numerical value of each element can be the same or different.
Figure 80369DEST_PATH_IMAGE004
(4)
Element in the formula (4) C i Tjk ( i=1,2,3, j=1,2,3 ...., N; k=1,2,3 ...., M; M>=N) expression the iInferior circulation is because the jWhen the root rope has unit damage, according to coding rule pairing kThe current numerical value of the calculating of the monitored amount of individual appointment.
Figure 563303DEST_PATH_IMAGE005
(5)
The subscript of each amount in the formula (5) i( i=1,2,3 ...) expression the iInferior circulation, subscript j( j=1,2,3 ...., N) expression the jThe root rope has unit damage, in the formula D i Uj It is vector D i u In jIndividual element.Vector δ C i j Definition suc as formula shown in (6), δ C i j k( k=1,2,3 ...., M; M>=N) individual element δ C i Jk Expression the iIn the inferior circulation, set up matrix Δ C i The time, suppose jWhen having unit damage, the root rope calculates gained the kThe change amount of individual monitored amount is with respect to the unit damage of supposition D i Uj Rate of change, it defines suc as formula shown in (7).
Figure 35872DEST_PATH_IMAGE006
(6)
Figure 149322DEST_PATH_IMAGE007
(7)
The definition of each amount was narrated in front in the formula (7).
Figure 760038DEST_PATH_IMAGE008
(8)
Vector in the formula (8) δ C i j ( i=1,2,3 ....,, j=1,2,3 ...., N) expression the iIn the inferior circulation, because the jThe root rope has unit damage D i Uj Cause, the relative value of all monitored amounts changes.Matrix Δ C i Row (subscript j) coding rule and front vector d i o The subscript of element jCoding rule identical.
In Cable Structure military service process, in circulation each time, constantly actual measurement obtains Cable Structure bearing generalized coordinate current data, in case monitor U Ti Be not equal to U Ti o, then need get back to for second step to A Ti oUpgrade, to A Ti oIt is right to get into this step after upgrading again Δ C i Upgrade.In fact in circulation each time Δ C i Bring in constant renewal in, promptly upgrading current Mechanics Calculation benchmark model A Ti oAfterwards, upgrade Cable Structure unit damage monitored quantitative change matrix Δ C i
 
The 4th step: the current health status of identification cable system.Detailed process is following.
The i( i=1,2,3 ...) in the inferior circulation, cable system " current (calculating or actual measurement) numerical value vector of monitored amount C i " " initial value of monitored amount is vectorial together C i o ", " unit damage monitored quantitative change matrix Δ C i " and " current name damage vector d i c " between linear approximate relationship, shown in (9) or formula (10).
Figure 984346DEST_PATH_IMAGE009
(9)
Figure 983526DEST_PATH_IMAGE010
(10)
Current (calculating or actual measurement) numerical value vector of monitored amount in formula (9) and the formula (10) C i Definition be similar to the initial value vector of monitored amount C i o Definition, see formula (11); The current name damage of cable system vector d i c Definition see formula (12).
Figure 267877DEST_PATH_IMAGE011
(11)
Element in the formula (11) C i k ( i=1,2,3 ....; k=1,2,3 ...., M; M>=N) be iInferior circulation time Cable Structure, be numbered according to coding rule is pairing kThe current numerical value of monitored amount.
Figure 867355DEST_PATH_IMAGE012
(12)
In the formula (12) d i Cj ( i=1,2,3 ....; j=1,2,3 ...., N) be iCable system in the inferior circulation jThe current nominal impairment value of root rope, vector d i c The subscript of element jCoding rule and matrix Δ C i The coding rule of row identical.
When the rope actual damage was not too big, because the Cable Structure material still is in the linear elasticity stage, the distortion of Cable Structure was also less, and the represented a kind of like this linear relationship of formula (9) or formula (10) is less with the error of actual conditions, and error can be used error vector e i (formula (13)) definition, the error of linear relationship shown in expression (9) or the formula (10).
Figure 895354DEST_PATH_IMAGE013
(13)
In the formula (13) Abs ()Be the function that takes absolute value, each element of the vector of trying to achieve in the bracket is taken absolute value.
Because there are certain error in formula (9) or the represented linear relationship of formula (10), therefore can not be simply according to formula (9) or formula (10) and " current (actual measurement) numerical value vector of monitored amount C i " come directly to find the solution to obtain Suo Dangqian name damage vector d i c If done like this, the damage vector that obtains d i c In element in addition bigger negative value can appear, just negative damage, this obviously is irrational.Therefore obtain rope damage vector d i c Acceptable separating (promptly have reasonable error, but can be more accurately from cable system, confirm the position and the degree of injury thereof of damaged cable) become a rational solution, available formula (14) is expressed this method.
Figure 14619DEST_PATH_IMAGE014
(14)
In the formula (14) Abs ()Be the function that takes absolute value, vector g i Description departs from ideal linearity relation (formula (9) or formula (10))
Reasonable deviation, define by formula (15).
Figure 204292DEST_PATH_IMAGE015
(15)
In the formula (15) g i k ( i=1,2,3 ....; k=1,2,3 ...., M) described iThe maximum allowable offset that departs from the ideal linearity relation shown in formula (9) or the formula (10) in the inferior circulation.Vector g i Can be according to the error vector of formula (13) definition e i Tentative calculation is selected.
Initial value vector in monitored amount C i o (survey or calculate), Cable Structure unit damage monitored quantitative change matrix Δ C i The current numerical value vector of (calculating) and monitored amount C i When (actual measurement obtains) is known, can utilize suitable algorithm (for example multi-objective optimization algorithm) to find the solution formula (14), obtain the current name damage of cable system vector d i c Acceptable separating, the current actual damage of cable system vector d i The element of (formula (16) is seen in definition) can calculate according to formula (17), has just obtained Suo Dangqian actual damage vector d i Thereby, can by d i Confirm the position and the degree of injury of damaged cable, just realized the health monitoring of cable system.
Figure 104115DEST_PATH_IMAGE016
(16)
In the formula (16) d i j ( i=1,2,3, ; j=1,2,3 ...., N) expression the iIn the inferior circulation jThe actual damage value of root rope, its definition are seen formula (17), d i j Be to represent at 0 o'clock jRoot rope not damaged is to represent that this rope thoroughly lost load-bearing capacity at 100% o'clock, representes in the time of between 0 and 100% jThe load-bearing capacity of root rope forfeiture corresponding proportion, vector d i Coding rule and the formula (1) of element in vector d i o The coding rule of element identical.
Figure 358641DEST_PATH_IMAGE017
(17)
In the formula (17) d i Oj ( i=1,2,3,4, ; j=1,2,3 ...., N) be vector d i o jIndividual element, d i Cj It is vector d i c jIndividual element.
The 5th step: judge whether to finish this (the iInferior) circulation, if then accomplish the tailing in work before this loop ends, for next time (promptly the i+ 1 time, i=1,2,3,4 ...) circulation preparation Mechanics Calculation benchmark model and necessary vector.Detailed process is following.
This ( iInferior) try to achieve current name damage vector in the circulation d i c After, at first, set up mark vector according to formula (18) F i , formula (19) has provided mark vector F i jThe definition of individual element; If mark vector F i Element be 0 entirely, then in this circulation, continue health monitoring and calculating to cable system; If mark vector F i Element be not 0 entirely, then accomplish subsequent step after, get into circulation next time.So-called subsequent step is: at first, calculate next time (promptly according to formula (20) i+ 1 time, i=1,2,3,4 ...) the required initial damage vector of circulation d i+ 1 o Each element d i+ 1 Oj The second, at Mechanics Calculation benchmark model A i( i=1,2,3,4 ...) or the not damaged model A of Cable Structure 0The basis on, make the health status situation of rope do d i+ 1 o The back upgrade and to obtain next time (the i+1 time, i=1,2,3,4 ...) the required Mechanics Calculation benchmark model A of circulation I+1At last, through to Mechanics Calculation benchmark model A I+1The initial value that calculates monitored amount, by its form next time (promptly the i+1 time, i=1,2,3,4 ...) required " the initial value vector of monitored amount of circulation C I+1 o " ( i=1,2,3,4 ...).
Figure 660309DEST_PATH_IMAGE018
(18)
Mark vector in the formula (18) F i Subscript iExpression the iInferior circulation, its element F i j ( j=1,2,3 ..., subscript N) jExpression the jThe damage characteristic of root rope can only be got 0 and 1 two amount, and concrete value rule is seen formula (19).
Figure 958567DEST_PATH_IMAGE019
(19)
Element in the formula (19) F i j It is mark vector F i jIndividual element, D i Uj It is nominal unit damage vector D i u jIndividual element (seeing formula (3)), d i Cj It is the current name damage of cable system vector d i c jIndividual element (seeing formula (12)), they all represent jThe relevant information of root rope.
Figure 345686DEST_PATH_IMAGE020
(20)
In the formula (20) D i Uj It is nominal unit damage vector D i u jIndividual element (seeing formula (3)), d i Cj It is the current name damage of cable system vector d i c jIndividual element (seeing formula (12)).
 
Second portion of the present invention: the software and hardware part of health monitoring systems.
Hardware components comprises monitoring system (comprising monitored amount monitoring system, Cable Structure bearing generalized coordinate monitoring system), signal picker and computing machine etc.Require to monitor in real time or quasi real time each monitored amount, require to monitor in real time or quasi real time each Cable Structure bearing generalized coordinate.
Software section should be accomplished the process that first of the present invention sets, and promptly accomplishes functions such as needed among the present invention, as can to use computer realization monitoring, record, control, storage, calculating, notice, warning.
 
The inventive method specifically comprises:
A. establish total N root rope, at first confirm the coding rule of rope, with rope numberings all in the Cable Structure, this numbering will be used to generate the vector sum matrix in subsequent step by this rule;
B. confirm the measured point of appointment, give all specified point numberings; Confirm the measured straight line of each measurement point, gave the measured straight line numbering of all appointments; Confirm the measured angle coordinate component of each measured straight line, give all measured angle coordinate component numberings.Above-mentioned numbering will be used to generate the vector sum matrix in subsequent step." the whole monitored angle-data of structure " is made up of above-mentioned all measured angle coordinate components.For simplicity, in the present invention " the monitored angle-data of structure " abbreviated as " monitored amount ".The quantity of measurement point must not be less than the quantity of rope; The quantity sum of all measured angle coordinate components must not be less than the quantity of rope;
C. the data of utilizing the Non-Destructive Testing data etc. of rope can express the health status of rope are set up cable system initial damage vector d 1 o If when not having the data of Non-Destructive Testing data and other health status that can express rope of rope, perhaps can think when the structure original state is the not damaged state vector d 1 o Each element numerical value get 0;
D. setting up cable system initial damage vector d 1 o The time, directly measure the monitored amount of all appointments that calculate Cable Structure, form " the initial value vector of monitored amount C 1 o ";
E. setting up cable system initial damage vector d 1 o Initial value vector with monitored amount C 1 o The time, actual measurement obtains the initial rope force data of all ropes of Cable Structure, and actual measurement obtains the initial geometric data of Cable Structure;
F. set up the initial Mechanics Calculation benchmark model A of Cable Structure o, set up initial Cable Structure bearing generalized coordinate vector U o, the Mechanics Calculation benchmark model A of the Cable Structure that needs when setting up circulation beginning for the first time 1The measured data of the Cable Structure in Cable Structure completion; This measured data comprises measured datas such as Cable Structure shape data, rope force data, draw-bar pull data, Cable Structure bearing generalized coordinate data, Cable Structure modal data; The Non-Destructive Testing data of rope etc. can be expressed the data of the health status of rope; According to design drawing and as-constructed drawing, utilize mechanics method to set up the initial Mechanics Calculation benchmark model A of Cable Structure oIf there is not the measured data of the structure in the Cable Structure completion; So just before setting up health monitoring systems, this Cable Structure is surveyed; Obtain the measured data of Cable Structure equally; According to design drawing, the as-constructed drawing of these data and Cable Structure, utilize mechanics method to set up the initial Mechanics Calculation benchmark model A of Cable Structure equally oNo matter which kind of method to obtain A with o, based on A oThe Cable Structure computational data that calculates must be very near its measured data, and difference therebetween must not be greater than 5%; Corresponding to A oCable Structure bearing generalized coordinate data form initial Cable Structure bearing generalized coordinate vector U oA oWith U oBe constant, only when circulation beginning for the first time, set up; The Mechanics Calculation benchmark model of the Cable Structure of setting up during the i time circulation beginning is designated as A i, wherein i representes cycle index; Alphabetical i is except the place of representing number of steps significantly in the application form of the present invention, and alphabetical i only representes cycle index, i.e. the i time circulation; The Mechanics Calculation benchmark model of the Cable Structure of setting up when therefore circulation begins for the first time is designated as A 1, A among the present invention 1Just equal A oFor narrating conveniently name " the current Mechanics Calculation benchmark model of Cable Structure A Ti o", A in circulation each time Ti oCan bring in constant renewal in as required, during circulation beginning each time, A Ti oEqual A iIt is convenient to be similarly narration, name " Cable Structure actual measurement bearing generalized coordinate vector U Ti ", in circulation each time, constantly actual measurement obtains Cable Structure bearing generalized coordinate current data, and all Cable Structure bearing generalized coordinate current datas are formed current cable structure actual measurement bearing generalized coordinate vector U Ti , vector U Ti Element with the vector U oThe generalized coordinate of the equidirectional of the element representation same abutment of same position; For the purpose of narrating conveniently,, the last time is upgraded A for the i time circulation Ti oThe time Cable Structure bearing generalized coordinate current data be designated as current cable structural bearings generalized coordinate vector U Ti oDuring circulation beginning for the first time, A T1 oEqual A 1, U T1 oEqual U oThe bearing generalized coordinate comprises two kinds of line amount and angle amounts;
When g. circulation begins each time, make A Ti oEqual A iActual measurement obtains Cable Structure bearing generalized coordinate current data, and all Cable Structure bearing generalized coordinate current datas are formed current cable structure actual measurement bearing generalized coordinate vector U Ti , according to current cable structure actual measurement bearing generalized coordinate vector U Ti , upgrade the current Mechanics Calculation benchmark model of Cable Structure A where necessary Ti oWith current cable structural bearings generalized coordinate vector U Ti o
H. at the current Mechanics Calculation benchmark model of Cable Structure A Ti oThe basis on carry out the several times Mechanics Calculation, through calculate obtaining Cable Structure unit damage monitored quantitative change matrix Δ C i With nominal unit damage vector D i u
I. actual measurement obtain Cable Structure all specify the current measured value of monitored amount, form " the current numerical value vector of monitored amount C i ".When numbering to the element of the institute's directed quantity that occurred before this step and this step; Should use same coding rule; Can guarantee element each vector, that numbering is identical of occurring before this step and this step like this, represent same monitored amount, corresponding to vectorial defined relevant information under this element;
J. define the current name damage of cable system vector d i c With current actual damage vector d i , the element number of damage vector equals the quantity of rope, is one-to-one relationship between the element of damage vector and the rope, and the element numerical value of damage vector is represented the degree of injury or the health status of corresponding rope;
K. according to " the current numerical value vector of monitored amount C i " " initial value of monitored amount is vectorial together C i o ", " unit damage monitored quantitative change matrix Δ C i " and " current name damage vector d i c " between the linear approximate relationship that exists, this linear approximate relationship can be expressed as formula 1, removes in the formula 1 d i c Other outer amount is known, finds the solution formula 1 and just can calculate current name damage vector d i c
Figure 902438DEST_PATH_IMAGE009
formula 1
L. the current actual damage vector that utilizes formula 2 to express d i With the initial damage vector d i o With current name damage vector d i c Element between relation, calculate current actual damage vector d i All elements.
Figure 793034DEST_PATH_IMAGE017
formula 2
In the formula 2 j=1,2,3 ..., N.
Because current actual damage vector d i Element numerical value represent the degree of injury of corresponding rope, so according to current actual damage vector d i Just can define the impaired and degree of injury of which rope, promptly realize the health monitoring of cable system in the Cable Structure; If the numerical value of a certain element of current actual damage vector is 0, represent that the pairing rope of this element is intact, do not damage; If its numerical value is 100%, represent that then the pairing rope of this element has completely lost load-bearing capacity; If its numerical value between 0 and 100%, is then represented this rope and has been lost the load-bearing capacity of corresponding proportion.
M. try to achieve current name damage vector d i c After, set up mark vector according to formula 3 F i , formula 4 has provided mark vector F i jThe definition of individual element;
formula 3
Figure 136607DEST_PATH_IMAGE019
formula 4
Element in the formula 4 F i j It is mark vector F i jIndividual element, D i Uj It is nominal unit damage vector D i u jIndividual element, d i Cj It is the current name damage of cable system vector d i c jIndividual element, they all represent jThe relevant information of root rope.In the formula 4 j=1,2,3 ..., N.
If mark vector n. F i Element be 0 entirely, then get back to step g and continue this circulation; If mark vector F i Element be not 0 entirely, then get into next step, be step o.
O. according to formula 5 calculate next time, promptly iThe initial damage vector that+1 circulation is required d i+ 1 o Each element d i+ 1 Oj
Figure 1445DEST_PATH_IMAGE020
formula 5
In the formula 5 D i Uj It is nominal unit damage vector D i u jIndividual element, d i Cj It is the current name damage of cable system vector d i c jIndividual element, F i j It is mark vector F i jIndividual element.In the formula 5 j=1,2,3 ..., N.
P. at the current Mechanics Calculation benchmark model of Cable Structure A Ti oThe basis on, make the health status of rope do d i+ 1 o The back renewal obtains next time, required Mechanics Calculation benchmark model A promptly circulates for the i+1 time I+1, promptly the Mechanics Calculation benchmark model is upgraded;
Q. pass through Mechanics Calculation benchmark model A I+1Calculate corresponding to model A I+1The numerical value of all monitored amounts of structure, these numerical value are formed next time, the initial value of the required monitored amount that promptly circulates for the i+1 time is vectorial C I+1 o
R. set up the required current Mechanics Calculation benchmark model of the Cable Structure A that next time, promptly circulates for the i+1 time Ti+1 o, promptly get A Ti+1 oEqual A I+1
The current cable structural bearings generalized coordinate vector of s. set up next time, i.e. the i+1 time circulation is required U Ti+ 1 o, promptly get U Ti+ 1 oEqual U Ti o
T. get back to step g, beginning is circulation next time.
 
In step g, according to current cable structure actual measurement bearing generalized coordinate vector U Ti , upgrade the current Mechanics Calculation benchmark model of Cable Structure A where necessary Ti oWith current cable structural bearings generalized coordinate vector U Ti oConcrete grammar be:
G1. actual measurement obtains current cable structure actual measurement bearing generalized coordinate vector U Ti After, relatively U Ti With U Ti oIf, U Ti Equal U Ti o, then need be to A Ti oUpgrade;
G2. actual measurement obtains current cable structure actual measurement bearing generalized coordinate vector U Ti After, relatively U Ti With U Ti oIf, U Ti Be not equal to U Ti o, then need be to A Ti oUpgrade, update method is: calculate earlier U Ti With U oPoor, U Ti With U oDifference be exactly that the current cable structural bearings is about setting up A oThe time the current bearing generalized displacement of Cable Structure bearing, with current bearing generalized displacement vector VThe generalized displacement of expression bearing, current bearing generalized displacement vector VIn element and bearing generalized displacement component between be one-to-one relationship, current bearing generalized displacement vector VIn the numerical value of an element corresponding to the generalized displacement around an assigned direction of an appointment bearing; Upgrade A Ti oMethod be: at A oThe basis on make that the health status of rope is cable system initial damage vector d i o , more further to A oIn the Cable Structure bearing apply current bearing generalized displacement constraint, the numerical value of current bearing generalized displacement constraint is just taken from current bearing generalized displacement vector VThe numerical value of middle corresponding element is to A oIn the Cable Structure bearing apply current bearing generalized displacement constraint after, that finally obtain is exactly the current Mechanics Calculation benchmark model A of renewal Ti o, upgrade A Ti oThe time, U Ti oAll elements numerical value is also used U Ti All elements numerical value replaces, and has promptly upgraded U Ti o, so just obtained correctly corresponding to A Ti o U Ti o
 
In step h, at the current Mechanics Calculation benchmark model of Cable Structure A Ti oThe basis on carry out the several times Mechanics Calculation, through calculate obtaining Cable Structure unit damage monitored quantitative change matrix Δ C i With nominal unit damage vector D i u Concrete grammar be:
H1. the i time when beginning circulation, directly h2 obtains Cable Structure unit damage monitored quantitative change matrix to the listed method of step h4 set by step Δ C i With nominal unit damage vector D i u At other constantly, in step g to A Ti oAfter upgrading, h2 is to the listed method acquisition of step h4 Cable Structure unit damage monitored quantitative change matrix set by step Δ C i With nominal unit damage vector D i u If, in step g not to A Ti oUpgrade, then directly change step I herein over to and carry out follow-up work;
H2. at the current Mechanics Calculation benchmark model of Cable Structure A Ti oThe basis on carry out the several times Mechanics Calculation, equal the quantity of all ropes on the calculation times numerical value, have NThe root rope just has NInferior calculating; Calculating each time in the hypothesis cable system has only a rope on the basis of original damage, to increase unit damage again; The rope that occurs damage in calculating each time is different from the rope that occurs damage in other time calculating; And supposition each time has the unit damage value of the rope of damage can be different from the unit damage value of other ropes, uses " nominal unit damage vector D i u " write down the unit damage of the supposition of all ropes, calculate each time that all specify the current numerical value of monitored amount in the Cable Structure, the current numerical value of the monitored amount of all that calculate is each time formed one " the current numerical value vector of the calculating of monitored amount "; When hypothesis the jWhen the root rope has unit damage, available C i Tj " the current numerical value vector of the calculating of monitored amount " that expression is corresponding; When in this step, giving each vectorial element numbering; Should use same coding rule with other vector among the present invention; Can guarantee any element in each vector in this step like this; With element in other vector, that numbering is identical, expressed the relevant information of same monitored amount or same target;
H3. that calculates each time " the current numerical value vector of the calculating of monitored amount C i Tj " deduct " initial value of monitored amount vector C i o " obtain a vector, during all calculating divided by this, each element that again should vector obtains " numerical value change a vector of monitored amount after the unit damage value of supposition δ C i j "; Have NThe root rope just has NIndividual " the numerical value change vector of monitored amount ";
H4. by this NIndividual " the numerical value change vector of monitored amount " formed successively to be had N" the unit damage monitored quantitative change matrix of row Δ C i "; " unit damage monitored quantitative change matrix Δ C i " each row corresponding to one the numerical value change of the monitored amount " vector "; The coding rule of the row of " unit damage monitored quantitative change matrix " and current name damage vector d i c With current actual damage vector d i The element coding rule identical.
 
Beneficial effect:System and method disclosed by the invention occurs under the situation of generalized displacement at the Cable Structure bearing, having under the synchronously impaired condition of more rope monitoring and evaluation very exactly go out the health status (position and the degree of injury that comprise all damaged cables) of cable system.This is because " the current numerical value vector of monitored amount C i " " initial value of monitored amount is vectorial together C i o ", " unit damage monitored quantitative change matrix Δ C i " and " current name damage vector d i c " between linear relationship be similar to; be actually nonlinear relation; when particularly more the or extent of damage is big at damaged cable; the nonlinear characteristic of the relation between the above-mentioned amount is more obvious,, the invention discloses under a kind of situation that occurs generalized displacement at the Cable Structure bearing, in the minizone health monitor method that approaches this nonlinear relationship with linear relationship for overcoming this obstacle.In fact the present invention has used the method with linear relationship piecewise approximation nonlinear relationship; Big interval is divided into minizone one by one; Internal linear relation all is enough accurately in each minizone, and the health status of the cable system that obtains according to its judgement also is reliable.Therefore, occur at the Cable Structure bearing under the situation of generalized displacement, system and method disclosed by the invention is very useful to effective health monitoring of cable system.
Embodiment
When the bearing generalized displacement is arranged,, the invention discloses a kind of system and method for health status of each root rope of the cable system that can monitor Cable Structure rationally and effectively to the health monitoring of the cable system of Cable Structure.The following explanation of embodiments of the invention in fact only is exemplary, and purpose never is to limit application of the present invention or use.
Occur at the Cable Structure bearing under the situation of generalized displacement, the algorithm that the present invention adopts is used for monitoring the health status of the cable system of Cable Structure.During practical implementation, the following step is a kind of in the various steps that can take.
The first step: confirm type, position and the quantity of monitored amount, and numbering.Detailed process is:
If total N root rope, the coding rule of at first definite rope, with rope numberings all in the Cable Structure, this numbering will be used to generate the vector sum matrix in subsequent step by this rule.
Confirm that (promptly all characterize the specified point of structure angle displacements, are provided with for the measured point of appointment KIndividual specified point), give all specified point numberings; Confirmed that (establishing each measurement point had for the measured straight line of each measurement point LIndividual appointment straight line), give the measured straight line numbering of all appointments; Confirm that (establishing each measured straight line has for the measured angle coordinate component of each measured straight line HIndividual angle coordinate component), give all measured angle coordinate component numberings.Above-mentioned numbering will be used to generate the vector sum matrix equally in subsequent step." the whole monitored angle-data of structure " is by on top definite structure KIndividual specified point, cross each specified point LIndividual appointment straight line, each specifies straight line HIndividual angle coordinate component is described, and the variation of structure angle is exactly the variation of the angle coordinate component of all appointments all specified points, all appointment straight lines.Each total M (M=K * L * H)Individual angle coordinate component measurement value or calculated value characterize the angle information of structure. KWith MMust not be less than the quantity of supporting rope NFor simplicity, in the present invention " the monitored angle-data of structure " is called " monitored amount ".Can only measure an angle coordinate of specifying straight line at each specified point, for example measure the angle coordinate of the body structure surface normal of specified point with respect to the acceleration of gravity direction, in fact be exactly measurement of dip angle here.
Second step: the data of utilizing the Non-Destructive Testing data etc. of rope can express the health status of rope are set up cable system initial damage vector d 1 o If when not having the data of Non-Destructive Testing data and other health status that can express rope of rope, perhaps can think when the structure original state is the not damaged state vector d 1 o Each element numerical value get 0.
The 3rd step: setting up cable system initial damage vector d 1 o The time, directly measure the monitored amount of all appointments that calculate Cable Structure, form " the initial value vector of monitored amount C 1 o ".
The 4th step: setting up cable system initial damage vector d 1 o Initial value vector with monitored amount C 1 o The time, can adopt ripe measuring method to carry out cable force measurement, strain measurement, measurement of angle and volume coordinate and measure.Simultaneously; Calculate the initial Suo Li and the Cable Structure original geometric form data (is exactly its initial bridge type data for cable-stayed bridge) of all ropes of Cable Structure after directly measuring or measuring; The original geometric form data of Cable Structure can be the spatial datas that the spatial data of the end points of all ropes adds a series of point on the structure, and purpose is just can confirm according to these coordinate datas the geometric properties of Cable Structure.As far as cable-stayed bridge, the original geometric form data can be the spatial datas that the spatial data of the end points of all ropes adds some points on the bridge two ends, so-called bridge type data that Here it is.
Set up the initial Mechanics Calculation benchmark model A of Cable Structure o, set up initial Cable Structure bearing generalized coordinate vector U o, the Mechanics Calculation benchmark model A of the Cable Structure that needs when setting up circulation beginning for the first time 1The measured data of the Cable Structure in Cable Structure completion; This measured data comprises measured datas such as Cable Structure shape data, rope force data, draw-bar pull data, Cable Structure bearing generalized coordinate data, Cable Structure modal data; The Non-Destructive Testing data of rope etc. can be expressed the data of the health status of rope; According to design drawing and as-constructed drawing, utilize mechanics method to set up the initial Mechanics Calculation benchmark model A of Cable Structure oIf there is not the measured data of the structure in the Cable Structure completion; So just before setting up health monitoring systems, this Cable Structure is surveyed; Obtain the measured data of Cable Structure equally; According to design drawing, the as-constructed drawing of these data and Cable Structure, utilize mechanics method to set up the initial Mechanics Calculation benchmark model A of Cable Structure equally oNo matter which kind of method to obtain A with o, based on A oThe Cable Structure computational data that calculates must be very near its measured data, and difference therebetween generally must not be greater than 5%; Corresponding to A oCable Structure bearing generalized coordinate data form initial Cable Structure bearing generalized coordinate vector U oA oWith U oBe constant, only when circulation beginning for the first time, set up; The Mechanics Calculation benchmark model of the Cable Structure of setting up during the i time circulation beginning is designated as A i, wherein i representes cycle index; Alphabetical i is except the place of representing number of steps significantly in the application form of the present invention, and alphabetical i only representes cycle index, i.e. the i time circulation; The Mechanics Calculation benchmark model of the Cable Structure of setting up when therefore circulation begins for the first time is designated as A 1, A among the present invention 1Just equal A oFor narrating conveniently name " the current Mechanics Calculation benchmark model of Cable Structure A Ti o", A in circulation each time Ti oCan bring in constant renewal in as required, during circulation beginning each time, A Ti oEqual A iIt is convenient to be similarly narration, name " Cable Structure actual measurement bearing generalized coordinate vector U Ti ", in circulation each time, constantly actual measurement obtains Cable Structure bearing generalized coordinate current data, and all Cable Structure bearing generalized coordinate current datas are formed current cable structure actual measurement bearing generalized coordinate vector U Ti , vector U Ti Element with the vector U oThe generalized coordinate of the equidirectional of the element representation same abutment of same position; For the purpose of narrating conveniently,, the last time is upgraded A for the i time circulation Ti oThe time Cable Structure bearing generalized coordinate current data be designated as current cable structural bearings generalized coordinate vector U Ti oDuring circulation beginning for the first time, A T1 oEqual A 1, U T1 oEqual U o
The 5th step: the hardware components of pass line structural healthy monitoring system.Hardware components comprises at least: monitored amount monitoring system (containing measurement of angle sensor, signal conditioner etc.), Cable Structure bearing generalized coordinate monitoring system (for example containing total powerstation, angular transducer, signal conditioner etc.), signal (data) collector, the computing machine and the panalarm of communicating by letter.The bearing generalized coordinate of each monitored amount, each Cable Structure all must arrive by monitored system monitoring, and monitoring system is transferred to signal (data) collector with the signal that monitors; Signal is delivered to computing machine through signal picker; Computing machine then is responsible for the health monitoring software of the cable system of operation Cable Structure, comprises the signal that the transmission of tracer signal collector comes; When monitoring rope when damage is arranged, the computer control communication panalarm to monitor staff, owner and (or) personnel of appointment report to the police.
The 6th step: establishment and the cable system health monitoring systems software of pass line structure on supervisory control comuter.All move this software at circulation time each time, this software is all the time in operation in other words.This software will be accomplished functions such as monitoring that the present invention's progressive health monitoring method of the cable system of angle monitor " during bearing generalized displacement based on " required by task wants, record, control, storage, calculating, notice, warning (all work that can accomplish with computing machine in this practical implementation method); And can regularly or by the personnel operation health monitoring systems generate cable system health condition form; Can also be according to the condition of setting (for example damage reach a certain value), notice or prompting monitor staff notify specific technician to accomplish necessary evaluation work automatically.
The 7th step: the step begins circulation running thus, for narration conveniently is designated as the i time circulation, and i=1 wherein, 2,3,4,5 ...Actual measurement (for example measuring the angle coordinate of the outer normal of seating plane with angular transducer) obtains Cable Structure bearing generalized coordinate current data, and all Cable Structure bearing generalized coordinate current datas are formed current cable structure actual measurement bearing generalized coordinate vector U Ti , according to current cable structure actual measurement bearing generalized coordinate vector U Ti , upgrade the current Mechanics Calculation benchmark model of Cable Structure A where necessary Ti oWith current cable structural bearings generalized coordinate vector U Ti oConcrete grammar is:
Actual measurement obtains current cable structure actual measurement bearing generalized coordinate vector U Ti After, relatively U Ti With U Ti oIf, U Ti Equal U Ti o, then need be to A Ti oUpgrade;
Actual measurement obtains current cable structure actual measurement bearing generalized coordinate vector U Ti After, relatively U Ti With U Ti oIf, U Ti Be not equal to U Ti o, then need be to A Ti oUpgrade, update method is: calculate earlier U Ti With U oPoor, U Ti With U oDifference be exactly that the current cable structural bearings is about setting up A oThe time the current bearing generalized displacement of Cable Structure bearing, with current bearing generalized displacement vector VThe generalized displacement of expression bearing, current bearing generalized displacement vector VIn element and bearing generalized displacement component between be one-to-one relationship, current bearing generalized displacement vector VIn the numerical value of an element corresponding to the generalized displacement around an assigned direction of an appointment bearing; Upgrade A Ti oMethod be: at A oThe basis on make that the health status of rope is cable system initial damage vector d i o , more further to A oIn the Cable Structure bearing apply current bearing generalized displacement constraint, the numerical value of current bearing generalized displacement constraint is just taken from current bearing generalized displacement vector VThe numerical value of middle corresponding element is to A oIn the Cable Structure bearing apply current bearing generalized displacement constraint after, that finally obtain is exactly the current Mechanics Calculation benchmark model A of renewal Ti o, upgrade A Ti oThe time, U Ti oAll elements numerical value is also used U Ti All elements numerical value replaces, and has promptly upgraded U Ti o, so just obtained correctly corresponding to A Ti o U Ti o
The 8th step: at the current Mechanics Calculation benchmark model of Cable Structure A Ti oThe basis on carry out the several times Mechanics Calculation, through calculate obtaining Cable Structure unit damage monitored quantitative change matrix Δ C i With nominal unit damage vector D i u Concrete grammar is:
A. the i time when beginning circulation or in the 7th step to A Ti oAfter upgrading, directly b obtains Cable Structure unit damage monitored quantitative change matrix to the listed method of steps d set by step Δ C i With nominal unit damage vector D i u At other constantly, if in step g not to A Ti oUpgrade, then directly changing for the 9th step herein over to carries out follow-up work;
B. at the current Mechanics Calculation benchmark model of Cable Structure A Ti oThe basis on carry out the several times Mechanics Calculation, equal the quantity of all ropes on the calculation times numerical value, have NThe root rope just has NInferior calculating; Calculating each time in the hypothesis cable system has only a rope on the basis of original damage, to increase unit damage again; The rope that occurs damage in calculating each time is different from the rope that occurs damage in other time calculating; And supposition each time has the unit damage value of the rope of damage can be different from the unit damage value of other ropes, uses " nominal unit damage vector D i u " write down the unit damage of the supposition of all ropes, calculate each time that all specify the current numerical value of monitored amount in the Cable Structure, the current numerical value of the monitored amount of all that calculate is each time formed one " the current numerical value vector of the calculating of monitored amount "; When hypothesis the jWhen the root rope has unit damage, available C i Tj " the current numerical value vector of the calculating of monitored amount " that expression is corresponding; When in this step, giving each vectorial element numbering; Should use same coding rule with other vector among the present invention; Can guarantee any element in each vector in this step like this; With element in other vector, that numbering is identical, expressed the relevant information of same monitored amount or same target.
C. that calculates each time " the current numerical value vector of the calculating of monitored amount C i Tj " deduct " initial value of monitored amount vector C i o " obtain a vector, during all calculating divided by this, each element that again should vector obtains " numerical value change a vector of monitored amount after the unit damage value of supposition δ C i j "; Have NThe root rope just has NIndividual " the numerical value change vector of monitored amount δ C i j " ( J=1,2,3 ..., N).
D. by this NIndividual " the numerical value change vector of monitored amount " formed successively to be had N" the unit damage monitored quantitative change matrix of row Δ C i "; " unit damage monitored quantitative change matrix Δ C i " each row corresponding to one the numerical value change of the monitored amount " vector "; The coding rule of the row of " unit damage monitored quantitative change matrix " and current name damage vector d i c With current actual damage vector d i The element coding rule identical.
In this step, reach when giving each vectorial element numbering thereafter; Should use same coding rule with other vector among the present invention; Can guarantee any element in each vector in this step like this; With element in other vector, that numbering is identical, expressed the relevant information of same monitored amount or same target.
The 9th step: set up the linear relationship error vector e i And vector g i Utilize data (" the initial value vector of monitored amount of front C i o ", " unit damage monitored quantitative change matrix Δ C i "), when the 8th step calculated each time, promptly in calculating each time, have only in the hypothesis cable system increase unit damage again on the basis of rope in original damage in, calculate each time and form a damage vector d i t , the damage vector d i t Element number equal the quantity of rope, vector d i t All elements in have only the numerical value of an element to get to calculate each time in hypothesis increase the unit damage value of the rope of unit damage, d i t The numerical value of other element get 0, that is not numbering and the supposition of 0 the element corresponding relation that increases the rope of unit damage, be identical with the element of the same numberings of other vectors with the corresponding relation of this rope; Will C i Tj , C i o , Δ C i , d i t Bring formula (13) into, obtain a linear relationship error vector e i , calculate a linear relationship error vector each time e i Have NThe root rope just has NInferior calculating just has NIndividual linear relationship error vector e i , with this NIndividual linear relationship error vector e i Obtain a vector after the addition, with this vector each element divided by NAfter the new vector that obtains be exactly final linear relationship error vector e i Vector g i Equal final error vector e i With vector g i Be kept on the hard disc of computer of operation health monitoring systems software, supply health monitoring systems software to use.
The tenth step: will " the initial value vector of monitored amount C i o " and " unit damage monitored quantitative change matrix Δ C i " etc. parameter be kept on the hard disc of computer of operation health monitoring systems software with the mode of data file.Actual measurement obtain Cable Structure all specify the current measured value of monitored amount, form " the current numerical value vector of monitored amount C i ".
The 11 step: according to " the current numerical value vector of monitored amount C i " " initial value of monitored amount is vectorial together C i o ", " unit damage monitored quantitative change matrix Δ C i " and " current name damage vector d i c " between the linear approximate relationship (formula (9)) that exists, calculate the current name damage of cable system vector according to multi-objective optimization algorithm d i c Noninferior solution.
The multi-objective optimization algorithm that can adopt has a variety of, for example: based on the multiple-objection optimization of genetic algorithm, based on the multiple-objection optimization of artificial neural network, based on the multi-objective optimization algorithm of population, multiple-objection optimization, leash law (Constrain Method), weighted method (Weighted Sum Method), goal programming method (Goal Attainment Method) or the like based on ant group algorithm.Because various multi-objective optimization algorithms all are conventional algorithms, can realize easily that this implementation step is that example provides and finds the solution current name damage vector with the goal programming method only d i c Process, the concrete implementation procedure of other algorithm can realize according to the requirement of its specific algorithm in a similar fashion.
According to the goal programming method, formula (9) can transform the multi-objective optimization question shown in an accepted way of doing sth (21) and the formula (22), in the formula (21) γ i Be a real number, RBe real number field, area of space Ω has limited vector d i c Span (the present embodiment requirements vector of each element d i c Each element be not less than 0, be not more than 1).The meaning of formula (21) is to seek the minimum real number of an absolute value γ i , make formula (22) be met.In the formula (22) G (d i c )By formula (23) definition, weighing vector in the formula (22) W i With γ i Product representation formula (22) in G (d i c )With vector g i Between the deviation that allows, g i Definition referring to formula (15), its value will the 8th the step calculate.Vector during actual computation W i Can with vector g i Identical.The concrete programming of goal programming method realizes having had universal program directly to adopt.Just can be according to the goal programming method in the hope of current name damage vector d i c
Figure 12126DEST_PATH_IMAGE021
(21)
Figure 980082DEST_PATH_IMAGE022
(22)
(23)
Try to achieve current name damage vector d i c After , canCurrent actual damage according to formula (17) obtains is vectorial d i Each element, current actual damage vector d i Have reasonable error exactly but can be more exactly from all ropes, confirm the position of damaged cable and separating of degree of injury thereof.If the current actual damage vector that solves d i The numerical value of a certain element be 0, represent that the pairing rope of this element is intact, not damage; If its numerical value is 100%, represent that then the pairing rope of this element has completely lost load-bearing capacity; If its numerical value between 0 and 100%, is then represented this rope and has been lost the load-bearing capacity of corresponding proportion.
The 12 step: in this circulation, promptly the iTry to achieve current name damage vector in the inferior circulation d i c After, at first, set up mark vector according to formula (18), formula (19) F i If mark vector F i Element be 0 entirely, then got back to for the 7th step and continue this circulation; If mark vector F i Element be not 0 entirely, then get into next step, i.e. the 13 step.
The 13 step: according to formula (20) calculate next time, promptly the iThe initial damage vector that+1 circulation is required d i+ 1 o Each element d i+ 1 Oj
The 14 step: at the current Mechanics Calculation benchmark model of Cable Structure A Ti oThe basis on, the health status that makes rope is the last vector that calculates of step d i+ 1 o After, obtain new Mechanics Calculation benchmark model, next time promptly the required Mechanics Calculation benchmark model A of (the i+1 time) circulation I+1
The 15 step: through to Mechanics Calculation benchmark model A I+1Calculate corresponding to model A I+1The numerical value of all monitored amounts of structure, these numerical value are formed next time, required vector promptly circulates for the i+1 time C I+1 o , promptly the initial value of monitored amount is vectorial
The 16 step: set up next time, the required current Mechanics Calculation benchmark model of Cable Structure A promptly circulates for the i+1 time Ti+1 o, promptly get A Ti+1 oEqual A I+1
The 17 step: the current cable structural bearings generalized coordinate vector of set up next time, i.e. the i+1 time circulation is required U Ti+ 1 o, promptly get U Ti+ 1 oEqual U Ti o
The 18 step: got back to for the 7th step, beginning is circulation next time.

Claims (3)

  1. During a bearing generalized displacement based on the progressive health monitoring method of the cable system of angle monitor, it is characterized in that this method comprises:
    A. establish total N root rope, at first confirm the coding rule of rope, with rope numberings all in the Cable Structure, this numbering will be used to generate the vector sum matrix in subsequent step by this rule;
    B. confirm the measured point of appointment, give all specified point numberings; Confirm the measured straight line of each measurement point, gave the measured straight line numbering of all appointments; Confirm the measured angle coordinate component of each measured straight line, give all measured angle coordinate component numberings.Above-mentioned numbering will be used to generate the vector sum matrix in subsequent step." the whole monitored angle-data of structure " is made up of above-mentioned all measured angle coordinate components.For simplicity, " the monitored angle-data of structure " abbreviated as " monitored amount ", the quantity of measurement point must not be less than the quantity of rope; The quantity sum of all measured angle coordinate components must not be less than the quantity of rope;
    C. the data of utilizing the Non-Destructive Testing data etc. of rope can express the health status of rope are set up cable system initial damage vector d 1 oIf when not having the data of Non-Destructive Testing data and other health status that can express rope of rope, perhaps can think when the structure original state is the not damaged state vectorial d 1 oEach element numerical value get 0; D in this step 1 oSubscript 1 expression circulation for the first time, specify in step f about the method for expressing of cycle index;
    D. setting up cable system initial damage vector d 1 oThe time, directly measure the monitored amount of all appointments that calculate Cable Structure, form " the initial value vector C of monitored amount 1 o"; C in this step 1 oSubscript 1 expression circulation for the first time, specify in step f about the method for expressing of cycle index;
    E. setting up cable system initial damage vector d 1 oInitial value vector C with monitored amount 1 oThe time, actual measurement obtains the initial rope force data of all ropes of Cable Structure, and actual measurement obtains the initial geometric data of Cable Structure;
    F. set up the initial Mechanics Calculation benchmark model A of Cable Structure o, set up initial Cable Structure bearing generalized coordinate vector U o, the Mechanics Calculation benchmark model A of the Cable Structure that needs when setting up circulation beginning for the first time 1A in this step 1Subscript 1 expression circulation for the first time; The measured data of the Cable Structure in Cable Structure completion; This measured data comprises measured datas such as Cable Structure shape data, rope force data, draw-bar pull data, Cable Structure bearing generalized coordinate data, Cable Structure modal data; The Non-Destructive Testing data of rope etc. can be expressed the data of the health status of rope; According to design drawing and as-constructed drawing, utilize mechanics method to set up the initial Mechanics Calculation benchmark model A of Cable Structure oIf there is not the measured data of the structure in the Cable Structure completion; So just before setting up health monitoring systems, this Cable Structure is surveyed; Obtain the measured data of Cable Structure equally; According to design drawing, the as-constructed drawing of these data and Cable Structure, utilize mechanics method to set up the initial Mechanics Calculation benchmark model A of Cable Structure equally oNo matter which kind of method to obtain A with o, based on A oThe Cable Structure computational data that calculates must be very near its measured data, and difference therebetween must not be greater than 5%; Corresponding to A oCable Structure bearing generalized coordinate data form initial Cable Structure bearing generalized coordinate vector U oA oAnd U oBe constant, only when circulation beginning for the first time, set up; The Mechanics Calculation benchmark model of the Cable Structure of setting up during the i time circulation beginning is designated as A i, wherein i representes cycle index, i.e. the i time circulation; The Mechanics Calculation benchmark model of the Cable Structure of setting up when therefore circulation begins for the first time is designated as A 1, A in this method 1Just equal A oFor narrating conveniently name " the current Mechanics Calculation benchmark model of Cable Structure A Ti o", A in circulation each time Ti oCan bring in constant renewal in as required, during circulation beginning each time, A Ti oEqual A iIt is convenient to be similarly narration, name " Cable Structure actual measurement bearing generalized coordinate vector U Ti", in circulation each time, constantly actual measurement obtains Cable Structure bearing generalized coordinate current data, and all Cable Structure bearing generalized coordinate current datas are formed current cable structure actual measurement bearing generalized coordinate vector U Ti, vectorial U TiElement and vectorial U oThe generalized coordinate of the equidirectional of the element representation same abutment of same position; For the purpose of narrating conveniently,, the last time is upgraded A for the i time circulation Ti oThe time Cable Structure bearing generalized coordinate current data be designated as current cable structural bearings generalized coordinate vector U Ti oDuring circulation beginning for the first time, A T1 oEqual A 1, U T1 oEqual U oThe bearing generalized coordinate comprises two kinds of line amount and angle amounts;
    G. actual measurement obtains Cable Structure bearing generalized coordinate current data, and all Cable Structure bearing generalized coordinate current datas are formed current cable structure actual measurement bearing generalized coordinate vector U Ti, according to current cable structure actual measurement bearing generalized coordinate vector U Ti, upgrade the current Mechanics Calculation benchmark model of Cable Structure A where necessary Ti oWith current cable structural bearings generalized coordinate vector U Ti o
    H. at the current Mechanics Calculation benchmark model of Cable Structure A Ti oThe basis on carry out the several times Mechanics Calculation, through calculate obtaining Cable Structure unit damage monitored quantitative change matrix Δ C iWith nominal unit damage vector D i u
    I. actual measurement obtain Cable Structure all specify the current measured value of monitored amount, form " the current numerical value vector C of monitored amount i".When numbering to the element of the institute's directed quantity that occurred before this step and this step; Should use same coding rule; Can guarantee element each vector, that numbering is identical of occurring before this step and this step like this, represent same monitored amount, corresponding to vectorial defined relevant information under this element;
    J. define the vectorial d of the current name damage of cable system i cWith current actual damage vector d i, the element number of damage vector equals the quantity of rope, is one-to-one relationship between the element of damage vector and the rope, and the element numerical value of damage vector is represented the degree of injury or the health status of corresponding rope;
    K. according to " the current numerical value vector C of monitored amount i" " the initial value of monitored amount vector C together i o", " unit damage monitored quantitative change matrix Δ C i" and " the vectorial d of current name damage i c" between the linear approximate relationship that exists, this linear approximate relationship can be expressed as formula 1, removes d in the formula 1 i cOther outer amount is known, finds the solution formula 1 and just can calculate the vectorial d of current name damage i c
    C i = C o i + Δ C i · d c i Formula 1
    L. the current actual damage vector d that utilizes formula 2 to express iWith initial damage vector d i oWith the vectorial d of current name damage i cElement between relation, calculate current actual damage vector d iAll elements;
    d i j = 1 - ( 1 - d Oj i ) ( 1 - d Cj i ) Formula 2
    J=1 in the formula 2,2,3 ..., N;
    Because current actual damage vector d iElement numerical value represent the degree of injury of corresponding rope, so according to current actual damage vector d iJust can define the impaired and degree of injury of which rope, promptly realize the health monitoring of cable system in the Cable Structure; If the numerical value of a certain element of current actual damage vector is 0, represent that the pairing rope of this element is intact, do not damage; If its numerical value is 100%, represent that then the pairing rope of this element has completely lost load-bearing capacity; If its numerical value between 0 and 100%, is then represented this rope and has been lost the load-bearing capacity of corresponding proportion;
    M. try to achieve the vectorial d of current name damage i cAfter, set up mark vector F according to formula 3 i, formula 4 has provided mark vector F iThe definition of j element;
    F i = [ F 1 i F 2 i · · · F j i · · · F N i ] T Formula 3
    F j i = 0 , If d Cj i < D Uj i 1 , If d Cj i &GreaterEqual; D Uj i Formula 4
    Element F in the formula 4 i jBe mark vector F iJ element, D i UjBe nominal unit damage vector D i uJ element, d i CjBe the vectorial d of the current name damage of cable system i cJ element, they all represent the relevant information of j root rope.J=1 in the formula 4,2,3 ..., N;
    If mark vector F n. iElement be 0 entirely, then get back to step g and continue this circulation; If mark vector F iElement be not 0 entirely, then get into next step, be step o.
    O. the initial damage vector d that calculates next time, promptly circulates required the i+1 time according to formula 5 I+1 oEach element d I+1 Oj
    d Oj i + 1 = 1 - ( 1 - d Oj i ) ( 1 - D Uj i F j i ) Formula 5
    D in the formula 5 i UjBe nominal unit damage vector D i uJ element, d i CjBe the vectorial d of the current name damage of cable system i cJ element, F i jBe mark vector F iJ element; J=1 in the formula 5,2,3 ..., N;
    P. at the current Mechanics Calculation benchmark model of Cable Structure A Ti oThe basis on, the health status that makes rope is d I+1 oThe back renewal obtains next time, required Mechanics Calculation benchmark model A promptly circulates for the i+1 time I+1, promptly the Mechanics Calculation benchmark model is upgraded;
    Q. pass through Mechanics Calculation benchmark model A I+1Calculate corresponding to model A I+1The numerical value of all monitored amounts of structure, these numerical value are formed next time, the vectorial C of initial value of the required monitored amount that promptly circulates for the i+1 time I+1 o
    R. set up the required current Mechanics Calculation benchmark model of the Cable Structure A that next time, promptly circulates for the i+1 time Ti+1 o, promptly get A Ti+1 oEqual A I+1
    The current cable structural bearings generalized coordinate vector U of s. set up next time, i.e. the i+1 time circulation is required Ti+1 o, promptly get U Ti+1 oEqual U Ti o
    T. get back to step g, beginning is circulation next time.
  2. 2. based on the progressive health monitoring method of the cable system of angle monitor, it is characterized in that in step g, during bearing generalized displacement according to claim 1 according to current cable structure actual measurement bearing generalized coordinate vector U Ti, upgrade the current Mechanics Calculation benchmark model of Cable Structure A where necessary Ti oWith current cable structural bearings generalized coordinate vector U Ti oConcrete grammar be:
    G1. actual measurement obtains current cable structure actual measurement bearing generalized coordinate vector U TiAfter, compare U TiAnd U Ti oIf, U TiEqual U Ti o, then need be to A Ti oUpgrade;
    G2. actual measurement obtains current cable structure actual measurement bearing generalized coordinate vector U TiAfter, compare U TiAnd U Ti oIf, U TiBe not equal to U Ti o, then need be to A Ti oUpgrade, update method is: calculate U earlier TiWith U oPoor, U TiWith U oDifference be exactly that the current cable structural bearings is about setting up A oThe time the current bearing generalized displacement of Cable Structure bearing; Represent the bearing generalized displacement with current bearing generalized displacement vector V; Between element among the current bearing generalized displacement vector V and the bearing generalized displacement component is one-to-one relationship, and the numerical value of an element is corresponding to the generalized displacement around an assigned direction of an appointment bearing among the current bearing generalized displacement vector V; Upgrade A Ti oMethod be: at A oThe basis on make that the health status of rope is cable system initial damage vector d i o, more further to A oIn the Cable Structure bearing apply current bearing generalized displacement constraint, the numerical value of current bearing generalized displacement constraint is just taken from the numerical value of corresponding element among the current bearing generalized displacement vector V, to A oIn the Cable Structure bearing apply current bearing generalized displacement constraint after, that finally obtain is exactly the current Mechanics Calculation benchmark model A of renewal Ti o, upgrade A Ti oThe time, U Ti oAll elements numerical value is also used U TiAll elements numerical value replaces, and has promptly upgraded U Ti o, so just obtained correctly corresponding to A Ti oU Ti o
  3. 3. based on the progressive health monitoring method of the cable system of angle monitor, it is characterized in that in step h, during bearing generalized displacement according to claim 1 at the current Mechanics Calculation benchmark model of Cable Structure A Ti oThe basis on carry out the several times Mechanics Calculation, through calculate obtaining Cable Structure unit damage monitored quantitative change matrix Δ C iWith nominal unit damage vector D i uConcrete grammar be:
    H1. the i time when beginning circulation, directly h2 obtains Cable Structure unit damage monitored quantitative change matrix Δ C to the listed method of step h4 set by step iWith nominal unit damage vector D i uAt other constantly, in step g to A Ti oAfter upgrading, h2 is to the listed method acquisition of step h4 Cable Structure unit damage monitored quantitative change matrix Δ C set by step iWith nominal unit damage vector D i uIf, in step g not to A Ti oUpgrade, then directly change step I herein over to and carry out follow-up work;
    H2. at the current Mechanics Calculation benchmark model of Cable Structure A Ti oThe basis on carry out the several times Mechanics Calculation; Equal the quantity of all ropes on the calculation times numerical value; Have N root rope that N calculating is just arranged, have only a rope on the basis of original damage, to increase unit damage again in the cable system of calculating hypothesis each time, the rope that occurs damage in calculating each time is different from the rope that occurs damage in other time calculating; And supposition each time has the unit damage value of the rope of damage can be different from the unit damage value of other ropes, uses " nominal unit damage vector D i u" write down the unit damage of the supposition of all ropes, calculate each time that all specify the current numerical value of monitored amount in the Cable Structure, the current numerical value of the monitored amount of all that calculate is each time formed one " the current numerical value vector of the calculating of monitored amount "; When hypothesis j root rope has unit damage, available C i Tj" the current numerical value vector of the calculating of monitored amount " that expression is corresponding; When in this step, giving each vectorial element numbering; Should use same coding rule with other vector among the present invention; Can guarantee any element in each vector in this step like this; With element in other vector, that numbering is identical, expressed the relevant information of same monitored amount or same target;
    H3. that calculates each time " the current numerical value vector of the calculating of monitored amount C i Tj" deduct " initial value of monitored amount vector C i o" obtain a vector, during all calculating divided by this, each element that again should vector obtains " numerical value change vector δ a C of monitored amount after the unit damage value of supposition i j"; There is N root rope that N " the numerical value change vector of monitored amount " just arranged;
    H4. form " the unit damage monitored quantitative change matrix Δ C that the N row are arranged successively by this N " the numerical value change vector of monitored amount " i"; " unit damage monitored quantitative change matrix Δ C i" each row corresponding to one the numerical value change of the monitored amount " vector "; The coding rule of the row of " unit damage monitored quantitative change matrix " and the vectorial d of current name damage i cWith current actual damage vector d iThe element coding rule identical.
CN201110143139A 2011-05-31 2011-05-31 Angle monitoring based cable system progressive health monitoring method applied in supporting seat generalized displacement Pending CN102323093A (en)

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* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN102706622A (en) * 2012-05-30 2012-10-03 东南大学 Loosened cable progressive-type identification method based on angle monitoring at moment of generalized displacement of supporting seat and temperature variation
CN102706677A (en) * 2012-05-30 2012-10-03 东南大学 Damaged cable approximation identification method based on angular monitoring of support angular displacement and temperature change
CN102706635A (en) * 2012-05-30 2012-10-03 东南大学 Damaged cable approximant identification method on basis of angle monitoring during generalized displacement of support and temperature variation

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JP2007286026A (en) * 2006-03-24 2007-11-01 Tokyo Seiko Co Ltd Method and apparatus for evaluating corrosion degree of area near hanger rope terminal part of hanging bridge or the like
CN101782473A (en) * 2010-03-17 2010-07-21 东南大学 Progressive type healthy monitoring method of rope system based on angle monitoring during support settlement
CN101806664A (en) * 2010-03-17 2010-08-18 东南大学 Progressive health monitoring method of cable system based on mixed monitoring in presence of support seat settlement

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WO2006136884A1 (en) * 2005-04-04 2006-12-28 Czaloun Hans Guenter Device for measuring indirect cable tensions
JP2007286026A (en) * 2006-03-24 2007-11-01 Tokyo Seiko Co Ltd Method and apparatus for evaluating corrosion degree of area near hanger rope terminal part of hanging bridge or the like
CN101782473A (en) * 2010-03-17 2010-07-21 东南大学 Progressive type healthy monitoring method of rope system based on angle monitoring during support settlement
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Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN102706622A (en) * 2012-05-30 2012-10-03 东南大学 Loosened cable progressive-type identification method based on angle monitoring at moment of generalized displacement of supporting seat and temperature variation
CN102706677A (en) * 2012-05-30 2012-10-03 东南大学 Damaged cable approximation identification method based on angular monitoring of support angular displacement and temperature change
CN102706635A (en) * 2012-05-30 2012-10-03 东南大学 Damaged cable approximant identification method on basis of angle monitoring during generalized displacement of support and temperature variation

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Application publication date: 20120118