CN102288437A - Method for identifying slack cables based on cable force monitoring during angular displacement of support - Google Patents

Method for identifying slack cables based on cable force monitoring during angular displacement of support Download PDF

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CN102288437A
CN102288437A CN2011101226548A CN201110122654A CN102288437A CN 102288437 A CN102288437 A CN 102288437A CN 2011101226548 A CN2011101226548 A CN 2011101226548A CN 201110122654 A CN201110122654 A CN 201110122654A CN 102288437 A CN102288437 A CN 102288437A
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current
cable structure
cable
rope
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韩玉林
张居锁
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Southeast University
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Abstract

The invention provides a method for identifying slack cables based on cable force monitoring during angular displacement of a support. The method is characterized by comprising: deciding whether a mechanical calculation benchmark model of a structure needs to be updated by monitoring the angular coordinate of the support of the structure based on cable force monitoring and updating the mechanical calculation benchmark model of the structure only when the angular coordinate of the support of the structure varies, thus obtaining a new mechanical calculation benchmark model of the structure including the angular displacement of the support of the structure; and calculating the unit damage monitored quantity variation matrix based on the new model, calculating and identifying the virtual damaged cables according to the approximately linear relationship between the current strain vector and the initial strain vector, the virtual unit damage strain variation matrix and the current virtual damage vector, after using a nondestructive testing method to identify the real damaged cables, the remaining virtual damaged cables being the slack cables, namely cables needing cable force adjustment, and determining the cable length needing to be adjusted according to the relationship between the degree of slackness and the degree of virtual damage.

Description

During the bearing angular displacement based on the method for the identification slack line of cable force monitoring
Technical field
(for example bearing is around the rotation of coordinate axis X, Y, Z in that the bearing angular displacement is arranged, in fact be exactly the angular displacement of bearing around coordinate axis X, Y, Z) time, rope supporting structure (particularly large-scale Cable Structure is discerned in the monitoring that the present invention is based on Suo Li equivalent, for example large-scale cable-stayed bridge, suspension bridge) cable system (referring to all support cables) in need adjust the support cable of Suo Li, and provide the long adjustment amount of concrete rope, belong to the engineering structure security fields.
Background technology
Cable system is Cable Structure (particularly large-scale Cable Structure normally; for example large-scale cable-stayed bridge, suspension bridge) key components; owing to reason such as lax; new construction is completed, and the Suo Li of support cable can change usually after a period of time; the lax variation that also can cause the supporting cable force of its support cable behind the structure long service; these change the variation that all will cause structural internal force; safety to structure causes harmful effect; will cause the inefficacy of structure when serious, therefore accurately and timely discern the support cable that needs to adjust Suo Li and be very important.
The health status of support cable system changes and (for example takes place lax; damage etc.) after; except meeting causes the variation of Suo Li; also can cause the variation of other measurable parameter of structure; for example can cause the variation of supporting cable force; in fact the variation of Suo Li has comprised the health status information of cable system; that is to say the health status that to utilize the rope force data to judge structure; can (the present invention be called monitored Suo Li " monitored amount " based on cable force monitoring; the back is mentioned " monitored amount " and just is meant monitored Suo Li) discern damaged cable; monitored amount is except the influence that is subjected to the cable system health status; also can be subjected to the influence of Cable Structure bearing angular displacement (usually can take place), also not have a kind of disclosed at present; effectively health monitoring systems and method have solved this problem.Therefore can monitor based on monitored amount and discern the rope that needs to adjust Suo Li, like this when the bearing angular displacement, a method of can rational and effective setting up the relation of (specifically the characteristic parameter according to rope characterizes the rope that needs to adjust Suo Li) between the characteristic parameter of monitored amount with all ropes just must be arranged, and the need of setting up based on this method are adjusted the recognition result of the support cable of Suo Li just can be more credible.
Summary of the invention
Technical matters:The objective of the invention is when the Cable Structure bearing has angular displacement, at identification problem in the cable system in the Cable Structure, that need the support cable of adjustment Suo Li, a kind of structure health monitoring method monitoring, that can discern the support cable that needs adjustment Suo Li rationally and effectively based on Suo Li equivalent is disclosed.
Reason according to the Suo Li of support cable changes can change the three kinds of situations that be divided into the Suo Li of support cable: the one, and support cable has been subjected to damage, and for example localized cracks and corrosion or the like have appearred in support cable; The 2nd, support cable and not damaged, but variation has also taken place in Suo Li, the one of the main reasons that this variation occurs is that variation has taken place the Suo Changdu (be called drift, the present invention specially refers to the drift of that section rope between support cable two supporting end points) under the support cable free state (this moment, Suo Zhangli claimed that also Suo Li is 0); The 3rd, support cable and not damaged, but the Cable Structure bearing has had angular displacement, also can cause the variation of structural internal force, also will cause the variation of Suo Li certainly.One of fundamental purpose of the present invention is exactly when the bearing angular displacement, identify drift the support cable that changes has taken place, and identify the change amount of their drift, and this change amount provides direct foundation for the Suo Li adjustment of this rope.The reason that the support cable drift changes is not single, and for convenience, the present invention is referred to as slack line with the support cable that drift changes.
Technical scheme:The present invention is made up of the two large divisions.Be respectively: one, set up required knowledge base of the health monitoring systems be used for discerning support cable cable system, that need to adjust Suo Li and parameter method, based on knowledge base (containing parameter), based on the angular displacement of actual measurement Cable Structure bearing, adjust the method for the support cable of Suo Li based on need monitoring, the identification Cable Structure of monitored amount equivalent.Two, the software and hardware part of health monitoring systems.
First of the present invention: set up required knowledge base of the health monitoring systems be used for discerning support cable cable system, that need to adjust Suo Li and parameter method, based on knowledge base (containing parameter), based on the angular displacement of actual measurement Cable Structure bearing, adjust the method for the support cable of Suo Li based on need monitoring, the identification Cable Structure of monitored amount equivalent.Can carry out as follows, to obtain the health status assessment of cable system more accurately.
The first step: at first set up the initial virtual lesion vector of cable system d o (, claim here " virtual lesion ", back with) because in fact support cable may be lax and not damage is the expression difference, set up the initial mechanical calculating benchmark model A of Cable Structure o(for example finite element benchmark model, A in the present invention oBe constant).
If it is total in the cable system NThe root rope, " initial virtual lesion vector is designated as cable system d o " (shown in (01)), use d o The expression Cable Structure is (with the initial mechanical calculating benchmark model A of Cable Structure oThe health status of cable system expression).
Figure 825416DEST_PATH_IMAGE001
(01)
In the formula (01) d Oj ( j=1,2,3 ...., N) expression A oIn cable system jThe initial virtual lesion value of root rope, d Oj Be to represent at 0 o'clock jRoot rope not damaged does not have lax, is to represent that this rope thoroughly lost load-bearing capacity at 100% o'clock, represents in the time of between 0 and 100% jThe load-bearing capacity of root rope forfeiture corresponding proportion.In the formula (01) TThe transposition of expression vector (back together).
Setting up the initial virtual lesion vector of cable system (is designated as according to formula (01) d o ) time, Non-Destructive Testing data of utilizing rope etc. can be expressed the data of the health status of rope and set up the initial virtual lesion vector of cable system d o If when not having the data of the Non-Destructive Testing data of rope and other health status that can express rope, can think that perhaps the structure original state is a not damaged when not having relaxed state, vector d o Each element numerical value get 0.
Set up the initial mechanical calculating benchmark model A of Cable Structure o(for example finite element benchmark model) and current Mechanics Calculation benchmark model A t oThe method of (for example finite element benchmark model).A in the present invention oBe constant.A t oBring in constant renewal in.Set up A oAnd A t oMethod as follows:
Design drawing, as-constructed drawing and 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, structure angle-data, rope force data, draw-bar pull data, Cable Structure support coordinate data, Cable Structure bearing angular 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), 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 the Cable Structure shape data, the rope force data, the draw-bar pull data, Cable Structure support coordinate data, Cable Structure bearing angular data, measured datas such as Cable Structure modal data, to cable-stayed bridge, suspension bridge and the bridge type data of Yan Shiqiao, the 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), design drawing according to these data and Cable Structure, as-constructed drawing utilizes 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 angular data form initial Cable Structure bearing angular coordinate vector U oA oWith U oBe constant.
If it is total in the cable system NRoot support cable, structure rope force data just by NThe Suo Li of root support cable describes.For simplicity, in the present invention " the monitored rope force data of structure " abbreviated as " monitored amount ".When mentioning " monitored amount so-and-so matrix or so-and-so vector " in the back, also can be read as " Suo Li so-and-so matrix or so-and-so vector ".
Among the present invention with monitored amount initial vector C o The vector (seeing formula (1)) that the initial value of all monitored amounts of expression Cable Structure is formed.Requirement is obtaining A oIn time, obtain C o Because of subject to the foregoing, the monitored amount of calculating gained based on the calculating benchmark model of Cable Structure approaches the measured data of initial monitored amount reliably, in the narration of back, will represent this calculated value and measured value with prosign.
Figure 915732DEST_PATH_IMAGE002
(1)
In the formula (1) C Oj ( j=1,2,3, ., M; M 〉=N) be in the Cable Structure jThe original bulk of individual monitored amount, this component according to coding rule corresponding to specific jIndividual monitored amount. TThe transposition of expression vector (back together).
Among the present invention with the current numerical value vector of monitored amount CThe vector of forming by the currency of all monitored amounts in the Cable Structure (formula (2) is seen in definition).
Figure 97314DEST_PATH_IMAGE003
(2)
In the formula (2) C j ( j=1,2,3, ., M; M 〉=N) be in the Cable Structure jThe currency of individual monitored amount, this component C j According to coding rule with C Oj Corresponding to same " monitored amount ".
Second step: the current Mechanics Calculation benchmark model A that sets up Cable Structure t o(finite element benchmark model for example, A in the health monitoring systems operational process t oBring in constant renewal in) and current cable structure actual measurement bearing angular coordinate vector U t In Cable Structure military service process, constantly actual measurement obtains Cable Structure bearing angular coordinate current data (all data composition current cable structure actual measurement bearing angular coordinate vectors U t , vector U t Definition mode with the vector U oIdentical).Cable Structure bearing angular coordinate current data when for simplicity, being upgraded current Mechanics Calculation benchmark model the last time is designated as current cable structural bearings angular coordinate vector U t oSet up and renewal A t oMethod be: in the moment that health monitoring systems is started working for the first time, the current Mechanics Calculation benchmark model A of Cable Structure t oJust equal A oIn Cable Structure military service process, constantly actual measurement obtains Cable Structure bearing angular data and obtains current cable structure actual measurement bearing angular coordinate vector U t If, U t Equal U t o, then do not need A t oUpgrade; If U t Be not equal to U t o, then need A t oUpgrade, at this moment U t With U oDifference be exactly the Cable Structure bearing about initial position (corresponding to A o) the bearing angular displacement (with bearing angular displacement vector VThe angular displacement of expression bearing).Upgrade A t oMethod be: to A oIn the Cable Structure bearing apply current bearing angular displacement constraint, the numerical value of current bearing angular displacement constraint is just taken from current bearing angular displacement vector VThe numerical value of middle corresponding element is to A oIn the Cable Structure bearing apply current bearing angular displacement constraint after, that finally obtain is exactly the current Mechanics Calculation benchmark model A of renewal t o, upgrade A t oAfter, U t oAll elements numerical value is used U t All elements numerical value replaces, and has promptly upgraded U t o, so just obtained correctly corresponding to A t o U t o
The 3rd step: set up " the monitored numerical quantity transformation matrices of virtual unit damage Δ C" and " nominal virtual unit damage vector D u ", Δ CWith D u Bring in constant renewal in, promptly upgrading current Mechanics Calculation benchmark model A t oThe time, upgrade the monitored numerical quantity transformation matrices of virtual unit damage Δ CWith nominal virtual unit damage vector D u
Set up and the monitored numerical quantity transformation matrices of renewal virtual unit damage Δ CWith nominal virtual unit damage vector D u Process as follows:
Current Mechanics Calculation benchmark model A in Cable Structure t 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 to increase virtual unit damage (for example getting 5%, 10%, 20% or 30% equivalent damage is virtual unit damage) again on the basis of original virtual lesion (original virtual lesion can be 0, can not be 0 also).Being convenient and calculating, can all be the bar structure health status when setting virtual unit damage as being healthy fully, and set on this basis virtual unit damage (in subsequent step, damage numerical value that calculate, rope---be called nominal virtual lesion d c , all be with respect to the health status of rope as being healthy fully speech, the nominal virtual lesion that the formula that therefore must foundation hereinafter provides will calculate be converted into actual and virtual and damage).The rope that occurs virtual lesion in calculating each time is different from the rope of the virtual lesion that occurs in other time calculating, and supposition each time has the virtual unit damage value of the rope of virtual lesion can be different from the virtual unit damage value of other ropes, uses " nominal virtual unit damage vector D u " (as the formula (3)) write down the virtual unit damage of the supposition of all ropes, be designated as D 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 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 o , the gained vector is exactly that " the numerical value change vector of monitored amount " of (is mark with the position of rope that virtual unit damage is arranged or numbering etc.) is (when under this condition jWhen the root rope has virtual unit damage, use δ C j The numerical value change vector of representing monitored amount, δ C 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 u jIndividual element D Uj Gained), the numerical value change vector of monitored amount δ C j Each element representation since when calculating supposition the Na Gensuo (for example the of virtual unit damage is arranged jThe root rope) virtual 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 virtual 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" (MOK NRow ), each vector δ C j ( j=1,2,3 ...., N) be matrix Δ COne row, Δ CDefinition as the formula (8).
(3)
Nominal virtual unit damage vector in the formula (3) D u Element D Uj ( j=1,2,3 ...., N) expression supposition the jThe virtual unit damage numerical value of root rope, vector D u In the numerical value of each element can be the same or different.
Figure 514706DEST_PATH_IMAGE005
(4)
Element in the formula (4) C Tjk ( j=1,2,3 ...., N; k=1,2,3 ...., M; M 〉=N) expression the jWhen the root rope has virtual unit damage, according to coding rule pairing kThe current numerical value of the calculating of the monitored amount of individual appointment.
Figure 143134DEST_PATH_IMAGE006
(5)
Subscript in the formula (5) j( j=1,2,3 ...., N) expression the jThe root rope has virtual unit damage, in the formula D Uj It is vector D u In jIndividual element.Vector δ C j Definition as the formula (6), δ C j k( k=1,2,3 ...., M; M 〉=N) individual element δ C Jk Matrix is set up in expression Δ CThe time, suppose jWhen having virtual unit damage, the root rope calculates gained the kThe change amount of individual monitored amount is with respect to the virtual unit damage of supposition D Uj Rate of change, it defines as the formula (7).
Figure 241540DEST_PATH_IMAGE007
(6)
Figure 867693DEST_PATH_IMAGE008
(7)
The definition of each amount has been previously described in the formula (7).
Figure 51550DEST_PATH_IMAGE009
(8)
Vector in the formula (8) δ C j ( j=1,2,3 ...., N) expression is because the jThe root rope has virtual unit damage D Uj Cause, the relative value of all monitored amounts changes.Matrix Δ CRow (subscript j) coding rule and front vector d o The subscript of element jCoding rule identical.
In Cable Structure military service process, constantly actual measurement obtains Cable Structure bearing angular coordinate current data, in case monitor U t Be not equal to U t o, then needed to get back to second step to A t oUpgrade, to A t oIt is right to enter this step after upgrading again Δ CUpgrade.In fact Δ CBring in constant renewal in, promptly upgrading current Mechanics Calculation benchmark model A t oAfterwards, upgrade the monitored numerical quantity transformation matrices of virtual unit damage Δ C
The 4th step: the current health status of identification cable system.Detailed process is as follows.
Cable system " current (calculating or actual measurement) numerical value vector of monitored amount C" " the initial value vector of monitored amount together C o ", " the monitored numerical quantity transformation matrices of virtual unit damage Δ C" and " current nominal virtual lesion vector d c " between linear approximate relationship, shown in (9) or formula (10).
(9)
(10)
Current (calculating or actual measurement) numerical value vector of monitored amount in formula (9) and the formula (10) CDefinition be similar to the initial value vector of monitored amount C o Definition, see formula (11); Cable system " current nominal virtual lesion vector d c " definition see formula (12).
Figure 439827DEST_PATH_IMAGE012
(11)
Element in the formula (11) C k ( k=1,2,3 ...., M; M 〉=N) be Cable Structure, be numbered according to coding rule is pairing kThe current numerical value of monitored amount.
(12)
In the formula (12) d Cj ( j=1,2,3 ...., N) be cable system jThe current nominal virtual lesion value of root rope, vector d c The subscript of element jCoding rule and matrix Δ CThe 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(formula (13)) definition, the error of linear relationship shown in expression (9) or the formula (10).
Figure 18893DEST_PATH_IMAGE014
(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" directly find the solution and obtain " current nominal virtual lesion vector d c ".If done like this, the vector that obtains d c In element in addition bigger negative value can appear, just negative damage, this obviously is irrational.Therefore obtain vector d c Acceptable separating (promptly have reasonable error, but can determine the position and the virtual lesion degree thereof of virtual damaged cable more exactly) become a rational solution, available formula (14) is expressed this method.
Figure 91891DEST_PATH_IMAGE015
(14)
In the formula (14) Abs ()Be the function that takes absolute value, vector gDescription departs from ideal linearity relation (formula (9) or formula (10))
Reasonable deviation, define by formula (15).
Figure 59847DEST_PATH_IMAGE016
(15)
In the formula (15) g k ( k=1,2,3 ...., M) maximum allowable offset of the ideal linearity relation that departs from shown in formula (9) or the formula (10) described.Vector gCan be according to the error vector of formula (13) definition eTentative calculation is selected.
At " the initial value vector of monitored amount C o " (survey or calculate), " the monitored numerical quantity transformation matrices of virtual unit damage Δ C" (calculating) and " the current numerical value vector of monitored amount C" when (actual measurement obtains) is known, can utilize suitable algorithm (for example multi-objective optimization algorithm) to find the solution formula (14), obtain " current nominal virtual lesion vector d c " acceptable separating, " current actual virtual lesion vector then d" element of (formula (16) is seen in definition) can calculate according to formula (17), just obtained " current actual virtual lesion vector d", thereby can by dDetermine the position and the virtual lesion degree of virtual damaged cable,, just determined to need to adjust rope and the long adjustment amount of rope thereof of Suo Li then according to position and the relax level of below the method for narration being determined slack line.
Figure 218296DEST_PATH_IMAGE017
(16)
In the formula (16) d j ( j=1,2,3 ...., N) expression the jThe actual virtual lesion value of root rope, formula (17) is seen in its definition, d j Be to represent at 0 o'clock jRoot rope not damaged does not have lax, is to represent that this rope thoroughly lost load-bearing capacity at 100% o'clock, represents in the time of between 0 and 100% jThe load-bearing capacity of root rope forfeiture corresponding proportion, vector dThe coding rule of element and formula (1) in vector d o The coding rule of element identical.
Figure 929900DEST_PATH_IMAGE018
(17)
In the formula (17) d Oj ( j=1,2,3 ...., N) be vector d o jIndividual element, d Cj It is vector d c jIndividual element.
Narration has obtained the actual virtual lesion vector of Suo Dangqian below dAfter, how to determine the position and the relax level of slack line.
If it is total in the cable system NThe root support cable, structure rope force data by NThe Suo Li of root support cable describes.Available " initial rope force vector F o " the initial Suo Li (formula (18) is seen in definition) of all support cables in the expression Cable Structure.Because the initial Suo Li that calculates gained based on the calculating benchmark model of Cable Structure approaches the measured data of initial Suo Li reliably, in the narration of back, will represent this calculated value and measured value with prosign.
Figure 122984DEST_PATH_IMAGE019
(18)
In the formula (18) F o ( j=1,2,3, ., N) be in the Cable Structure jThe initial Suo Li of root support cable, this element is according to the Suo Li of coding rule corresponding to the appointment support cable.Vector F o It is constant.Setting up the initial mechanical calculating benchmark model A of Cable Structure oThe time used vector F o
Use " current cable force vector among the present invention F" the current cable power (formula (19) is seen in definition) of all support cables in the Cable Structure that obtains of expression actual measurement.
Figure 324159DEST_PATH_IMAGE020
(19)
In the formula (19) F j ( j=1,2,3, ., N) be in the Cable Structure jThe current cable power of root support cable.
Among the present invention, under support cable original state (not damaged, do not have lax), and support cable is when being in free state (free state refers to that Suo Li is 0, back with), and the length of support cable is called initial drift, with " initial drift vector l o " the initial drift (formula (20) is seen in definition) of all support cables in the expression Cable Structure.
Figure 642007DEST_PATH_IMAGE021
(20)
In the formula (20) l Oj ( j=1,2,3, ., N) be in the Cable Structure jThe initial drift of root support cable.Vector l o Be constant, after when beginning, determining, just no longer change.
Among the present invention, with " current drift vector l" the current drift (formula (21) is seen in definition) of all support cables in the expression Cable Structure.
Figure 219619DEST_PATH_IMAGE022
(21)
In the formula (21) l j ( j=1,2,3, ., N) be in the Cable Structure jThe current drift of root support cable.
Among the present invention, with " drift changes vectorial Δ l" the change amount (formula (22) and formula (23) are seen in definition) of the drift of all support cables in (or claim support cable current relax level vector) expression Cable Structure.
Figure 204893DEST_PATH_IMAGE023
(22)
Δ in the formula (22) l j ( j=1,2,3, ., N) be in the current cable structure jThe change amount of the drift of root support cable, its definition are seen formula (23), Δ l j Be not that 0 rope is a slack line, Δ l j Numerical value be the slack of rope, and expression cable system the jThe current relax level of root support cable also is the long adjustment amount of rope of this rope when adjusting Suo Li.
Figure 576968DEST_PATH_IMAGE024
(23)
By slack line is carried out the relax level identification that slack line is carried out in the mechanics equivalence with damaged cable, the mechanical condition of equivalence is in the present invention:
The mechanics parameters of initial drift, geometrical property parameter and material when one, the nothing of the rope of two equivalences relaxes with not damaged is identical;
Two, after the lax or damage, the Suo Li of the slack line of two equivalences and damage rope be out of shape after length overall identical.
When satisfying above-mentioned two equivalent conditions, the such mechanics function of two support cables in structure is exactly identical, if after promptly replacing slack line with the damaged cable of equivalence, Cable Structure any variation can not take place, vice versa.
Among the present invention, with the jIndividual support cable (its current relax level Δ l j Definition) the current actual virtual lesion degree of carrying out the virtual impaired support cable of equivalence is used d j Expression ( d j Definition see formula (16) and formula (17)).Lax the jThe current relax level Δ of individual support cable l j (Δ l j Definition see formula (22)) with the current actual virtual lesion degree of damaged cable of equivalence d j Between relation determine by aforementioned two mechanics equivalent conditions.Δ l j With d j Between physical relationship can adopt accomplished in many ways, for example can be directly determine (referring to formula (24)) according to aforementioned equivalent condition, also can adopt based on the Ernst equivalent elastic modulus to replace in the formula (24) ERevise the back and determine (referring to formula (25)), also can adopt and determine based on other methods such as trial and error procedure of finite element method.
Figure 382113DEST_PATH_IMAGE025
(24)
Figure 500767DEST_PATH_IMAGE026
(25) in formula (24) and the formula (25) EBe the elastic modulus of this support cable, ABe the cross-sectional area of this support cable, F j Be the current cable power of this support cable, d j Be the current actual virtual lesion degree of this support cable, ωBe the weight of the unit length of this support cable, l Jx It is the horizontal range of two supporting end points of this support cable.Item in the formula (25) in [] is the Ernst equivalent elastic modulus of this support cable, can just can determine the current relax level vector of support cable Δ by formula (24) or formula (25) lFormula (25) is the correction to formula (24).
Second portion of the present invention: the software and hardware part of health monitoring systems.Hardware components comprises monitoring system (monitoring the horizontal range of monitored amount, the angular displacement of monitoring Cable Structure bearing, monitoring Suo Li, monitoring support cable two supporting end points), signal picker and computing machine etc.Requirement is monitored each monitored amount in real time or quasi real time, monitors the Suo Li of each support cable, is monitored the horizontal range that each support cable two supports end points.Software should the following function of tool: software section should be finished the process that first of the present invention sets, promptly finish needed among the present invention, can be with functions such as computer implemented monitoring, record, control, storage, calculating, notice, warnings.
The inventive method specifically comprises:
A. establish total N root rope, at first determine 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. structure rope force data just by NThe Suo Li of root support cable describes; For simplicity, in the present invention " the monitored rope force data of structure " abbreviated as " monitored amount "; When mentioning " monitored amount so-and-so matrix or so-and-so vector " in the back, also can be read as " Suo Li so-and-so matrix or so-and-so vector ";
C. Non-Destructive Testing data of utilizing rope etc. can be expressed the data of the health status of rope and set up initial virtual lesion vector d o If when not having the data of the Non-Destructive Testing data of rope and other health status that can express rope, vector d 1 o Each element numerical value get 0.
D. setting up initial virtual lesion vector d o The time, directly measurement calculates the initial value of all monitored amounts of Cable Structure, forms the initial value vector of monitored amount C o
E. setting up initial virtual lesion vector d o Initial value vector with monitored amount C o The time, directly measure the initial Suo Li that calculates all support cables, form initial rope force vector F o Simultaneously, obtain the initial drift of all support cables, form initial drift vector according to structural design data, completion data l o Simultaneously, obtain the initial geometric data of Cable Structure according to structural design data, completion data or actual measurement; Simultaneously, survey or obtain elastic modulus, density, the initial cross sectional area of all ropes according to structural design, completion information;
F. set up the initial mechanical calculating benchmark model A of Cable Structure o, set up initial Cable Structure bearing angular coordinate vector U o, set up the current Mechanics Calculation benchmark model of Cable Structure A t oThe measured data of the Cable Structure in Cable Structure completion, this measured data comprises measured datas such as the elastic modulus, density, initial cross sectional area of Cable Structure shape data, rope force data, draw-bar pull data, Cable Structure support coordinate data, Cable Structure bearing angular data, Cable Structure modal data, all ropes, 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 mechanical calculating 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 mechanical calculating 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 angular data form initial Cable Structure bearing angular coordinate vector U oA oWith U oBe constant; For sake of convenience, name " the current Mechanics Calculation benchmark model of Cable Structure A t o", A in structure military service process t oCan bring in constant renewal in as required, during beginning, A t oEqual A oEqually for sake of convenience, name " Cable Structure actual measurement bearing angular coordinate vector U t ", in structure military service process, constantly actual measurement obtains Cable Structure bearing angular coordinate current data, and all Cable Structure bearing angular coordinate current datas are formed " current cable structure actual measurement bearing angular coordinate vector U t ", vector U t Element with the vector U oThe angular coordinate of the equidirectional of the element representation same abutment of same position; For sake of convenience, the last time is upgraded A t oThe time Cable Structure bearing angular coordinate current data be designated as current cable structural bearings angular coordinate vector U t oDuring beginning, A t oEqual A o, U t oEqual U oA oThe health status of corresponding rope by d o Describe;
When g. health monitoring systems is started working, make A t oEqual A oConstantly actual measurement obtains Cable Structure bearing angular coordinate current data in structure military service process, and all Cable Structure bearing angular coordinate current datas are formed current cable structure actual measurement bearing angular coordinate vector U t , according to current cable structure actual measurement bearing angular coordinate vector U t , upgrade the current Mechanics Calculation benchmark model of Cable Structure A where necessary t oWith current cable structural bearings angular coordinate vector U t o
H. at the current Mechanics Calculation benchmark model of Cable Structure A t oThe basis on carry out the several times Mechanics Calculation, by calculate obtaining the monitored numerical quantity transformation matrices of Cable Structure virtual unit damage Δ CWith nominal virtual unit damage vector D u
I. actual measurement obtains the current cable power of all support cables of Cable Structure, forms the current cable force vector FSimultaneously, actual measurement obtain Cable Structure all specify the current measured value of monitored amount, form " the current numerical value vector of monitored amount C".Actual measurement calculates the volume coordinate of two supporting end points of all support cables, and the volume coordinate of two the supporting end points difference of component in the horizontal direction is exactly two supporting end points horizontal ranges.When numbering to the element of the institute's directed quantity that occurred before this step and this step, should use same coding rule, each vector that can guarantee before this step and this step like this and occur afterwards, number identical element, represent same monitored amount, corresponding to vectorial defined relevant information under this element;
J. define current nominal virtual lesion vector to be asked d c With current actual virtual lesion vector dThe damage vector d o , d c With dElement number equal the quantity of rope, be one-to-one relationship between the element of damage vector and the rope, the element numerical value of damage vector is represented the virtual lesion degree or the health status of corresponding rope;
K. according to " the current numerical value vector of monitored amount C" " the initial value vector of monitored amount together C o ", " the monitored numerical quantity transformation matrices of virtual unit damage Δ C" and " current nominal virtual lesion vector d c " between the linear approximate relationship that exists, this linear approximate relationship can be expressed as formula 1, removes in the formula 1 d c Other outer amount is known, finds the solution formula 1 and just can calculate current nominal virtual lesion vector d c
Figure 340547DEST_PATH_IMAGE027
Formula 1
L. the current actual virtual lesion vector that utilizes formula 2 to express dElement d j With initial virtual lesion vector d o Element d Oj With current nominal virtual lesion vector d c Element d Cj Between relation, calculate current actual virtual lesion vector dAll elements.
Figure 883523DEST_PATH_IMAGE018
Formula 2
In the formula 2 j=1,2,3 ..., N.
Because current actual virtual lesion vector dElement numerical value represent the current actual virtual lesion degree of corresponding rope, promptly actual relax level or actual damage degree, current actual virtual lesion vector dIn numerical value be not that the support cable of 0 element correspondence is exactly problematic support cable, problematic support cable may be slack line, also may be damaged cable, its numerical response the degree of lax or damage;
M. identify damaged cable from the problematic support cable that l identified the step, remaining is exactly slack line.
N. utilize the current actual virtual lesion vector that obtains in the l step dObtain the current actual virtual lesion degree of slack line, utilize the current cable force vector that obtains in the i step F, utilize two volume coordinates that support end points in all support cables of i step acquisition, utilize the initial drift vector that obtains in the e step l o Utilization is in elastic modulus, density, the initial cross sectional area data of all ropes of e step acquisition, by with slack line with damaged cable carry out the mechanics equivalence calculate slack line, with the relax level of current actual virtual lesion degree equivalence, the mechanical condition of equivalence is: one, the mechanics parameters of lax initial drift, geometrical property parameter, density and the material during with not damaged of the nothing of the rope of two equivalences is identical; Two, after the lax or damage, the Suo Li of the slack line of two equivalences and damage rope be out of shape after length overall identical.When satisfying above-mentioned two equivalent conditions, the such mechanics function of two support cables in structure is exactly identical, if after promptly replacing damaged cable with the slack line of equivalence, Cable Structure any variation can not take place, vice versa.Try to achieve the relax level that those are judged as slack line according to aforementioned mechanics equivalent condition, relax level is exactly the change amount of support cable drift, has just determined the long adjustment amount of rope of the support cable that those need adjust Suo Li.The lax identification and the damage identification of support cable have so just been realized.Institute's demand power is by the current cable force vector during calculating FCorresponding element provides.
In step g, according to current cable structure actual measurement bearing angular coordinate vector U t , upgrade the current Mechanics Calculation benchmark model of Cable Structure A where necessary t oWith current cable structural bearings angular coordinate vector U t oConcrete grammar be:
G1. actual measurement obtains current cable structure actual measurement bearing angular coordinate vector U t After, relatively U t With U t oIf, U t Equal U t o, then do not need A t oUpgrade;
G2. actual measurement obtains current cable structure actual measurement bearing angular coordinate vector U t After, relatively U t With U t oIf, U t Be not equal to U t o, then need A t oUpgrade, update method is: calculate earlier U t With U oPoor, U t With U oDifference be exactly that the current cable structural bearings is about setting up A oThe time the current bearing angular displacement of Cable Structure bearing, with current bearing angular displacement vector VThe angular displacement of expression bearing, current bearing angular displacement vector VIn element and the bearing angular displacement component between be one-to-one relationship, current bearing angular displacement vector VIn the numerical value of an element corresponding to the rotation of an assigned direction of an appointment bearing; Upgrade A t oMethod be: to A oIn the Cable Structure bearing apply current bearing angular displacement constraint, the numerical value of current bearing angular displacement constraint is just taken from current bearing angular displacement vector VThe numerical value of middle corresponding element is to A oIn the Cable Structure bearing apply current bearing angular displacement constraint after, that finally obtain is exactly the current Mechanics Calculation benchmark model A of renewal t o, upgrade A t oThe time, U t oAll elements numerical value is also used U t All elements numerical value replaces, and has promptly upgraded U t o, so just obtained correctly corresponding to A t o U t o
In step h, at the current Mechanics Calculation benchmark model of Cable Structure A t oThe basis on carry out the several times Mechanics Calculation, by calculate obtaining the monitored numerical quantity transformation matrices of Cable Structure virtual unit damage Δ CWith nominal virtual unit damage vector D u Concrete grammar be:
When h1. health monitoring systems was started working for the first time, directly h2 obtained the monitored quantitative change matrix of Cable Structure virtual unit damage to the listed method of step h4 set by step Δ CWith nominal virtual unit damage vector D u After, if in the step g to A t oUpgrade, directly h2 obtains the monitored quantitative change matrix of Cable Structure virtual unit damage to the listed method of step h4 set by step Δ CWith nominal virtual unit damage vector D u If, in step g not to A t 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 t 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 to increase virtual unit damage again on the basis of original virtual lesion, the rope that occurs virtual unit damage in calculating each time is different from the rope that occurs virtual unit damage in other time calculating, and supposition each time has the virtual unit damage value of the rope of virtual unit damage can be different from the virtual unit damage value of other ropes, uses " nominal virtual unit damage vector D u " write down the unit damage of the supposition of all ropes, calculate the current numerical value of all monitored amounts each time, the current numerical value of the monitored amount of all that calculate is formed one " the current numerical value vector of the calculating of monitored amount " each time.When hypothesis the jWhen the root rope has unit damage, available C Tj " the current evaluation vector of monitored amount that expression is corresponding C Tj ".When giving each vectorial element numbering in this step, should use same coding rule with other vector among the present invention, can guarantee any one 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 evaluation vector of monitored amount C Tj " deduct " the initial value vector of monitored amount C o " obtain a vector, during all calculating divided by this, each element that again should vector obtains one " the numerical value change vector of monitored amount " after the virtual unit damage value of supposition; 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 monitored numerical quantity transformation matrices of virtual unit damage of row Δ C"; " the monitored numerical quantity transformation matrices of virtual unit damage Δ C" each row corresponding to one " the numerical value change vector of monitored amount "; The coding rule of the row of " the monitored quantitative change matrix of virtual unit damage " and current nominal virtual lesion vector d c With current actual virtual lesion vector dThe element coding rule identical.
Beneficial effect:System and method disclosed by the invention occurs under the situation of angular displacement at the Cable Structure bearing, having under the synchronously impaired or lax condition of more rope monitoring and evaluation very exactly go out the health status (position and relax level or the degree of injury that comprise all slack lines and damaged cable) of cable system.System and method disclosed by the invention is very useful to effective health monitoring of cable system.
Embodiment
When the bearing angular displacement,, 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 at the health monitoring of the cable system of Cable Structure.The following describes 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 angular displacement, the present invention adopts a kind of algorithm, and this algorithm is used for monitoring the health status (relax level and the extent of damage that comprise rope) of the cable system of Cable Structure.During concrete enforcement, the following step is a kind of in the various steps that can take.
The first step: determine 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.
Cable Structure rope force data just by NThe Suo Li of root support cable describes.For simplicity, when in the present invention " the monitored rope force data of structure " being abbreviated as " monitored amount " and mentioning " monitored amount so-and-so matrix or so-and-so vector " in the back, also can be read as " Suo Li so-and-so matrix or so-and-so vector ".
Second step: the data of utilizing the Non-Destructive Testing data etc. of rope can express the health status of rope are set up initial virtual lesion vector d o If when not having the data of the Non-Destructive Testing data of rope and other health status that can express rope, perhaps can think when the structure original state is not damaged, no relaxed state vector d o Each element numerical value get 0.
The 3rd step: setting up initial virtual lesion vector d o The time, directly measurement calculates the initial value of all monitored amounts of Cable Structure, forms " the initial value vector of monitored amount C o "; Simultaneously, directly measure the initial Suo Li of all support cables that calculate Cable Structure, form " initial rope force vector F o "; Simultaneously, obtain the initial drift of all ropes, form " the initial drift vector of support cable according to structural design data, completion data l o "; Simultaneously, survey or obtain elastic modulus, density, the initial cross sectional area of all ropes according to structural design, completion information.
The 4th step: setting up initial virtual lesion vector d 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.Calculate Cable Structure original geometric form data (is exactly its initial bridge type data for cable-stayed bridge) 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 to determine according to these coordinate datas the geometric properties of Cable Structure.For 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 mechanical calculating benchmark model A of Cable Structure o, set up initial Cable Structure bearing angular coordinate vector U o, set up the current Mechanics Calculation benchmark model of Cable Structure A t oThe measured data of the Cable Structure in Cable Structure completion, this measured data comprises measured datas such as the elastic modulus, density, initial cross sectional area of Cable Structure shape data, rope force data, draw-bar pull data, Cable Structure support coordinate data, Cable Structure bearing angular data, Cable Structure modal data, all ropes, 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 mechanical calculating 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 mechanical calculating 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 angular data form initial Cable Structure bearing angular coordinate vector U oA oWith U oBe constant; For sake of convenience, name " the current Mechanics Calculation benchmark model of Cable Structure A t o", A in structure military service process t oCan bring in constant renewal in as required, during beginning, A t oEqual A oEqually for sake of convenience, name " Cable Structure actual measurement bearing angular coordinate vector U t ", in structure military service process, constantly actual measurement obtains Cable Structure bearing angular coordinate current data, and all Cable Structure bearing angular coordinate current datas are formed " current cable structure actual measurement bearing angular coordinate vector U t ", vector U t Element with the vector U oThe angular coordinate of the equidirectional of the element representation same abutment of same position; For sake of convenience, the last time is upgraded A t oThe time Cable Structure bearing angular coordinate current data be designated as current cable structural bearings angular coordinate vector U t oDuring beginning, A t oEqual A o, U t oEqual U oA oThe health status of corresponding rope by d o Describe;
The 5th step: the hardware components of pass line structural healthy monitoring system.Hardware components comprises at least: horizontal range monitoring system, signal (data) collector, the computing machine and the panalarm of communicating by letter of monitored amount monitoring system (for example containing acceleration transducer, signal conditioner etc.), cable force monitoring system (for example containing acceleration transducer, signal conditioner etc.), Cable Structure bearing angular coordinate monitoring system (containing measurement of angle sensor, signal conditioner etc.), each support cable two supporting end points.The horizontal range of the Suo Li of each monitored amount, each support cable and each root support cable two supporting end points 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; Have lax or during damage when monitoring rope, 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 installation and operation Cable Structure on supervisory control comuter.This software will be finished functions such as monitoring that the present invention's method of the identification slack line of cable force monitoring " during bearing angular displacement based on " required by task wants, record, control, storage, calculating, notice, warning (all work that can finish with computing machine in this specific 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 finish necessary evaluation work automatically.
The 7th step: when health monitoring systems is started working, make A t oEqual A oConstantly actual measurement (containing measurement of angle sensor, signal conditioner etc.) obtains Cable Structure bearing angular coordinate current data in structure military service process, and all Cable Structure bearing angular coordinate current datas are formed current cable structure actual measurement bearing angular coordinate vector U t , according to current cable structure actual measurement bearing angular coordinate vector U t , upgrade the current Mechanics Calculation benchmark model of Cable Structure A where necessary t oWith current cable structural bearings angular coordinate vector U t oConcrete grammar is: actual measurement obtains current cable structure actual measurement bearing angular coordinate vector U t After, relatively U t With U t oIf, U t Equal U t o, then do not need A t oUpgrade; Actual measurement obtains current cable structure actual measurement bearing angular coordinate vector U t After, relatively U t With U t oIf, U t Be not equal to U t o, then need A t oUpgrade.Upgrade A t oMethod be: calculate earlier U t With U oPoor, U t With U oDifference be exactly that the current cable structural bearings is about setting up A oThe time the current bearing angular displacement of Cable Structure bearing, with current bearing angular displacement vector VThe angular displacement of expression bearing, current bearing angular displacement vector VIn element and the bearing angular displacement component between be one-to-one relationship, current bearing angular displacement vector VIn the numerical value of an element corresponding to the rotation of an assigned direction of an appointment bearing; Upgrade A t oMethod be: to A oIn the Cable Structure bearing apply current bearing angular displacement constraint, the numerical value of current bearing angular displacement constraint is just taken from current bearing angular displacement vector VThe numerical value of middle corresponding element is to A oIn the Cable Structure bearing apply current bearing angular displacement constraint after, that finally obtain is exactly the current Mechanics Calculation benchmark model A of renewal t o, upgrade A t oThe time, U t oAll elements numerical value is also used U t All elements numerical value replaces, and has promptly upgraded U t o, so just obtained correctly corresponding to A t o U t o
The 8th step: at the current Mechanics Calculation benchmark model of Cable Structure A t oThe basis on carry out the several times Mechanics Calculation, by calculate obtaining the monitored numerical quantity transformation matrices of Cable Structure virtual unit damage Δ CWith nominal virtual unit damage vector D u Concrete grammar is as follows:
When a. health monitoring systems was started working for the first time, directly b obtained the monitored quantitative change matrix of Cable Structure virtual unit damage to the listed method of steps d set by step Δ CWith nominal virtual unit damage vector D u After, if the 7th the step in to A t oUpgrade, directly b obtains the monitored quantitative change matrix of Cable Structure virtual unit damage to the listed method of steps d set by step Δ CWith nominal virtual unit damage vector D u If, the 7th the step in not to A t 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 t 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 to increase virtual unit damage again on the basis of original virtual lesion, the rope that occurs virtual unit damage in calculating each time is different from the rope that occurs virtual unit damage in other time calculating, and supposition each time has the virtual unit damage value of the rope of virtual unit damage can be different from the virtual unit damage value of other ropes, uses " nominal virtual unit damage vector D u " write down the unit damage of the supposition of all ropes, calculate the current numerical value of all monitored amounts each time, the current numerical value of the monitored amount of all that calculate is formed one " the current numerical value vector of the calculating of monitored amount " each time.When hypothesis the jWhen the root rope has unit damage, available C Tj " the current evaluation vector of monitored amount that expression is corresponding C Tj ".When giving each vectorial element numbering in this step, should use same coding rule with other vector among the present invention, can guarantee any one 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 evaluation vector of monitored amount C Tj " deduct " the initial value vector of monitored amount C o " obtain a vector, during all calculating divided by this, each element that again should vector obtains one " the numerical value change vector of monitored amount " after the virtual unit damage value of supposition; Have NThe root rope just has NIndividual " the numerical value change vector of monitored amount ";
D. by this NIndividual " the numerical value change vector of monitored amount " formed successively to be had N" the monitored numerical quantity transformation matrices of virtual unit damage of row Δ C"; " the monitored numerical quantity transformation matrices of virtual unit damage Δ C" each row corresponding to one " the numerical value change vector of monitored amount "; The coding rule of the row of " the monitored quantitative change matrix of virtual unit damage " and current nominal virtual lesion vector d c With current actual virtual lesion vector dThe element coding rule identical.
Reach in this step when giving each vectorial element numbering thereafter, should use same coding rule with other vector among the present invention, can guarantee any one 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 eAnd vector gUtilize data (" the initial value vector of monitored amount of front C o ", " the monitored numerical quantity transformation matrices of virtual unit damage Δ C"), when the 8th step calculated each time, promptly in calculating each time, have only in the hypothesis cable system increase virtual unit damage again on the basis of rope at original virtual lesion in, calculate each time and form " virtual lesion a vector d t ", the virtual lesion vector d t Element number equal the quantity of rope, virtual lesion vector d t All elements in have only the numerical value of an element to get to calculate each time in hypothesis increase the virtual unit damage value of the rope of virtual unit damage, d 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 virtual unit damage, be identical with the element of the same numbering of other vectors with the corresponding relation of this rope; Will C Tj , C o , Δ C, d t Bringing formula (13) into (notes, in the formula (13) CWith C Tj Bring into, d c With d t Bring into), obtain a linear relationship error vector e, calculate a linear relationship error vector each time eHave NThe root rope just has NInferior calculating just has NIndividual linear relationship error vector e, with this NIndividual linear relationship error vector eObtain a vector after the addition, with each element of this vector divided by NAfter the new vector that obtains be exactly final linear relationship error vector eVector gEqual final error vector eWith vector gBe kept on the hard disc of computer of operation health monitoring systems software, use for health monitoring systems software.
Will " initial rope force vector F o ", " the initial value vector of monitored amount C o ", " nominal virtual unit damage vector D u ", " initial drift vector l o ", " the monitored numerical quantity transformation matrices of virtual unit damage Δ C" and the parameters such as unit weight of the elastic modulus of all ropes, initial cross sectional area, rope be kept on the hard disc of computer of operation health monitoring systems software in the mode of data file.
The tenth step: actual measurement obtains the current cable power of all support cables of Cable Structure, forms the current cable force vector FSimultaneously, actual measurement obtain Cable Structure all specify the current measured value of monitored amount, form " the current numerical value vector of monitored amount C".Actual measurement calculates the volume coordinate of two supporting end points of all support cables, and the volume coordinate of two the supporting end points difference of component in the horizontal direction is exactly two supporting end points horizontal ranges.
The 11 step: according to " current (calculating or actual measurement) numerical value vector of monitored amount C" " the initial value vector of monitored amount together C o ", " the monitored numerical quantity transformation matrices of virtual unit damage Δ C" and " current nominal virtual lesion vector d c " between the linear approximate relationship (seeing formula (9)) that exists, calculate the current nominal virtual lesion vector of cable system according to multi-objective optimization algorithm d 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 (Constran Method), weighted method (Weghted Sum Method), goal programming method (Goal Attanment 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 nominal virtual lesion vector with the goal programming method only d c Process, the specific implementation process of other algorithm can realize in a similar fashion according to the requirement of its specific algorithm.
According to the goal programming method, formula (9) can transform the multi-objective optimization question shown in an accepted way of doing sth (29) and the formula (30), in the formula (29) γBe a real number, RBe real number field, area of space Ω has limited vector d c Span (the present embodiment requirements vector of each element d c Each element be not less than 0, be not more than 1).The meaning of formula (29) is to seek the real number of an absolute value minimum γ, make formula (30) be met.In the formula (30) G (d c )By formula (31) definition, weighing vector in the formula (30) WWith γProduct representation formula (30) in G (d c )With vector gBetween the deviation that allows, gDefinition referring to formula (15), its value will the 8th the step calculate.Vector during actual computation WCan with vector gIdentical.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 c
Figure 441544DEST_PATH_IMAGE028
(29)
Figure 95379DEST_PATH_IMAGE029
(30)
Figure 55245DEST_PATH_IMAGE030
(31)
Try to achieve current nominal virtual lesion vector d c After ,The current actual virtual lesion vector that can obtain according to formula (17) dEach element, current actual virtual lesion vector dHave reasonable error exactly but can be more exactly from all ropes, determine the position of problematic rope (be virtual damaged cable, may be impaired also may be lax) and separating of virtual lesion degree.If the current actual virtual lesion vector that solves dThe numerical value of a certain element be 0, represent that the pairing rope of this element is intact, not damage or lax; 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: because current actual virtual lesion vector dElement numerical value represent the virtual lesion degree of corresponding rope, so it is impaired or relaxed and possible degree of injury or relax level just to define which Suo Keneng according to current actual virtual lesion vector, but damage has taken place actually or has taken place to relax in these ropes, need differentiate.The method of differentiating is varied; can be by removing the protective seam of support cable; support cable is carried out visual discriminating; perhaps carry out visual discriminating by optical imaging apparatus; also can be by lossless detection method to support cable impaired discriminating the whether, UT (Ultrasonic Testing) is exactly a kind of present widely used lossless detection method.Those do not find to damage and the virtual lesion degree is not that 0 support cable is exactly that lax rope has taken place to differentiate the back, need adjust the rope of Suo Li exactly, can be in the hope of the relax level (being the long adjustment amount of rope) of these ropes according to formula (24) or formula (25).So just realized comprising the health monitoring of the cable system of damage identification and the lax Cable Structure of discerning.

Claims (3)

  1. During a bearing angular displacement based on the method for the identification slack line of cable force monitoring, it is characterized in that described method comprises:
    A. establish total N root rope, at first determine 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. structure rope force data just by NThe Suo Li of root support cable describes; For simplicity, in the present invention " the monitored rope force data of structure " abbreviated as " monitored amount "; When mentioning " monitored amount so-and-so matrix or so-and-so vector " in the back, also can be read as " Suo Li so-and-so matrix or so-and-so vector ";
    C. Non-Destructive Testing data of utilizing rope etc. can be expressed the data of the health status of rope and set up initial virtual lesion vector d o If when not having the data of the Non-Destructive Testing data of rope and other health status that can express rope, vector d 1 o Each element numerical value get 0;
    D. setting up initial virtual lesion vector d o The time, directly measurement calculates the initial value of all monitored amounts of Cable Structure, forms the initial value vector of monitored amount C o
    E. setting up initial virtual lesion vector d o Initial value vector with monitored amount C o The time, directly measure the initial Suo Li that calculates all support cables, form initial rope force vector F o Simultaneously, obtain the initial drift of all support cables, form initial drift vector according to structural design data, completion data l o Simultaneously, obtain the initial geometric data of Cable Structure according to structural design data, completion data or actual measurement; Simultaneously, survey or obtain elastic modulus, density, the initial cross sectional area of all ropes according to structural design, completion information;
    F. set up the initial mechanical calculating benchmark model A of Cable Structure o, set up initial Cable Structure bearing angular coordinate vector U o, set up the current Mechanics Calculation benchmark model of Cable Structure A t oThe measured data of the Cable Structure in Cable Structure completion, this measured data comprises measured datas such as the elastic modulus, density, initial cross sectional area of Cable Structure shape data, rope force data, draw-bar pull data, Cable Structure support coordinate data, Cable Structure bearing angular data, Cable Structure modal data, all ropes, and 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 mechanical calculating 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 mechanical calculating 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 angular data form initial Cable Structure bearing angular coordinate vector U oA oWith U oBe constant; For sake of convenience, name " the current Mechanics Calculation benchmark model of Cable Structure A t o", A in structure military service process t oCan bring in constant renewal in as required, during beginning, A t oEqual A oEqually for sake of convenience, name " Cable Structure actual measurement bearing angular coordinate vector U t ", in structure military service process, constantly actual measurement obtains Cable Structure bearing angular coordinate current data, and all Cable Structure bearing angular coordinate current datas are formed " current cable structure actual measurement bearing angular coordinate vector U t ", vector U t Element with the vector U oThe angular coordinate of the equidirectional of the element representation same abutment of same position; For sake of convenience, the last time is upgraded A t oThe time Cable Structure bearing angular coordinate current data be designated as current cable structural bearings angular coordinate vector U t oDuring beginning, A t oEqual A o, U t oEqual U oA oThe health status of corresponding rope by d o Describe;
    When g. health monitoring systems is started working, make A t oEqual A oConstantly actual measurement obtains Cable Structure bearing angular coordinate current data in structure military service process, and all Cable Structure bearing angular coordinate current datas are formed current cable structure actual measurement bearing angular coordinate vector U t , according to current cable structure actual measurement bearing angular coordinate vector U t , upgrade the current Mechanics Calculation benchmark model of Cable Structure A where necessary t oWith current cable structural bearings angular coordinate vector U t o
    H. at the current Mechanics Calculation benchmark model of Cable Structure A t oThe basis on carry out the several times Mechanics Calculation, by calculate obtaining the monitored numerical quantity transformation matrices of Cable Structure virtual unit damage Δ CWith nominal virtual unit damage vector D u
    I. actual measurement obtains the current cable power of all support cables of Cable Structure, forms the current cable force vector FSimultaneously, actual measurement obtain Cable Structure all specify the current measured value of monitored amount, form " the current numerical value vector of monitored amount C"; Actual measurement calculates the volume coordinate of two supporting end points of all support cables, and the volume coordinate of two the supporting end points difference of component in the horizontal direction is exactly two supporting end points horizontal ranges.When numbering to the element of the institute's directed quantity that occurred before this step and this step, should use same coding rule, each vector that can guarantee before this step and this step like this and occur afterwards, number identical element, represent same monitored amount, corresponding to vectorial defined relevant information under this element;
    J. define current nominal virtual lesion vector to be asked d c With current actual virtual lesion vector dThe damage vector d o , d c With dElement number equal the quantity of rope, be one-to-one relationship between the element of damage vector and the rope, the element numerical value of damage vector is represented the virtual lesion degree or the health status of corresponding rope;
    K. according to " the current numerical value vector of monitored amount C" " the initial value vector of monitored amount together C o ", " the monitored numerical quantity transformation matrices of virtual unit damage Δ C" and " current nominal virtual lesion vector d c " between the linear approximate relationship that exists, this linear approximate relationship can be expressed as formula 1, removes in the formula 1 d c Other outer amount is known, finds the solution formula 1 and just can calculate current nominal virtual lesion vector d c
    Figure 2011101226548100001DEST_PATH_IMAGE002
    Formula 1
    L. the current actual virtual lesion vector that utilizes formula 2 to express dElement d j With initial virtual lesion vector d o Element d Oj With current nominal virtual lesion vector d c Element d Cj Between relation, calculate current actual virtual lesion vector dAll elements;
    Figure 2011101226548100001DEST_PATH_IMAGE004
    Formula 2
    In the formula 2 j=1,2,3 ..., N.
    Because current actual virtual lesion vector dElement numerical value represent the current actual virtual lesion degree of corresponding rope, promptly actual relax level or actual damage degree, current actual virtual lesion vector dIn numerical value be not that the support cable of 0 element correspondence is exactly problematic support cable, problematic support cable may be slack line, also may be damaged cable, its numerical response the degree of lax or damage;
    M. identify damaged cable from the problematic support cable that l identified the step, remaining is exactly slack line;
    N. utilize the current actual virtual lesion vector that obtains in the l step dObtain the current actual virtual lesion degree of slack line, utilize the current cable force vector that obtains in the i step F, utilize two volume coordinates that support end points in all support cables of i step acquisition, utilize the initial drift vector that obtains in the e step l o Utilization is in elastic modulus, density, the initial cross sectional area data of all ropes of e step acquisition, by with slack line with damaged cable carry out the mechanics equivalence calculate slack line, with the relax level of current actual virtual lesion degree equivalence, the mechanical condition of equivalence is: one, the mechanics parameters of lax initial drift, geometrical property parameter, density and the material during with not damaged of the nothing of the rope of two equivalences is identical; Two, after the lax or damage, the Suo Li of the slack line of two equivalences and damage rope be out of shape after length overall identical; When satisfying above-mentioned two equivalent conditions, the such mechanics function of two support cables in structure is exactly identical, if after promptly replacing damaged cable with the slack line of equivalence, Cable Structure any variation can not take place, vice versa.Try to achieve the relax level that those are judged as slack line according to aforementioned mechanics equivalent condition, relax level is exactly the change amount of support cable drift, has just determined the long adjustment amount of rope of the support cable that those need adjust Suo Li; The lax identification and the damage identification of support cable have so just been realized.Institute's demand power is by the current cable force vector during calculating FCorresponding element provides.
  2. 2. based on the method for the identification slack line of cable force monitoring, it is characterized in that in step g, during bearing angular displacement according to claim 1 according to current cable structure actual measurement bearing angular coordinate vector U t , upgrade the current Mechanics Calculation benchmark model of Cable Structure A where necessary t oWith current cable structural bearings angular coordinate vector U t oConcrete grammar be:
    G1. actual measurement obtains current cable structure actual measurement bearing angular coordinate vector U t After, relatively U t With U t oIf, U t Equal U t o, then do not need A t oUpgrade;
    G2. actual measurement obtains current cable structure actual measurement bearing angular coordinate vector U t After, relatively U t With U t oIf, U t Be not equal to U t o, then need A t oUpgrade, update method is: calculate earlier U t With U oPoor, U t With U oDifference be exactly that the current cable structural bearings is about setting up A oThe time the current bearing angular displacement of Cable Structure bearing, with current bearing angular displacement vector VThe angular displacement of expression bearing, current bearing angular displacement vector VIn element and the bearing angular displacement component between be one-to-one relationship, current bearing angular displacement vector VIn the numerical value of an element corresponding to the rotation of an assigned direction of an appointment bearing; Upgrade A t oMethod be: to A oIn the Cable Structure bearing apply current bearing angular displacement constraint, the numerical value of current bearing angular displacement constraint is just taken from current bearing angular displacement vector VThe numerical value of middle corresponding element is to A oIn the Cable Structure bearing apply current bearing angular displacement constraint after, that finally obtain is exactly the current Mechanics Calculation benchmark model A of renewal t o, upgrade A t oThe time, U t oAll elements numerical value is also used U t All elements numerical value replaces, and has promptly upgraded U t o, so just obtained correctly corresponding to A t o U t o
  3. 3. based on the method for the identification slack line of cable force monitoring, it is characterized in that in step h, during bearing angular displacement according to claim 1 at the current Mechanics Calculation benchmark model of Cable Structure A t oThe basis on carry out the several times Mechanics Calculation, by calculate obtaining the monitored numerical quantity transformation matrices of Cable Structure virtual unit damage Δ CWith nominal virtual unit damage vector D u Concrete grammar be:
    When h1. health monitoring systems was started working for the first time, directly h2 obtained the monitored quantitative change matrix of Cable Structure virtual unit damage to the listed method of step h4 set by step Δ CWith nominal virtual unit damage vector D u After, if in the step g to A t oUpgrade, directly h2 obtains the monitored quantitative change matrix of Cable Structure virtual unit damage to the listed method of step h4 set by step Δ CWith nominal virtual unit damage vector D u If, in step g not to A t 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 t 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 to increase virtual unit damage again on the basis of original virtual lesion, the rope that occurs virtual unit damage in calculating each time is different from the rope that occurs virtual unit damage in other time calculating, and supposition each time has the virtual unit damage value of the rope of virtual unit damage can be different from the virtual unit damage value of other ropes, uses " nominal virtual unit damage vector D u " write down the unit damage of the supposition of all ropes, calculate the current numerical value of all monitored amounts each time, the current numerical value of the monitored amount of all that calculate is formed one " the current numerical value vector of the calculating of monitored amount " each time; When hypothesis the jWhen the root rope has unit damage, available C Tj " the current evaluation vector of monitored amount that expression is corresponding C Tj ".When giving each vectorial element numbering in this step, should use same coding rule with other vector among the present invention, can guarantee any one 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 evaluation vector of monitored amount C Tj " deduct " the initial value vector of monitored amount C o " obtain a vector, during all calculating divided by this, each element that again should vector obtains one " the numerical value change vector of monitored amount " after the virtual unit damage value of supposition; 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 monitored numerical quantity transformation matrices of virtual unit damage of row Δ C"; " the monitored numerical quantity transformation matrices of virtual unit damage Δ C" each row corresponding to one " the numerical value change vector of monitored amount "; The coding rule of the row of " the monitored quantitative change matrix of virtual unit damage " and current nominal virtual lesion vector d c With current actual virtual lesion vector dThe element coding rule identical.
CN2011101226548A 2011-05-13 2011-05-13 Method for identifying slack cables based on cable force monitoring during angular displacement of support Pending CN102288437A (en)

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* Cited by examiner, † Cited by third party
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CN102706593A (en) * 2012-05-29 2012-10-03 东南大学 Problem cable and support translation progressive identification method on basis of cable force monitoring during temperature variation
CN102706626A (en) * 2012-05-29 2012-10-03 东南大学 Slack cable identification method on basis of cable force monitoring during temperature variation

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WO1998057166A1 (en) * 1997-06-11 1998-12-17 Pure Technologies Ltd. Method and apparatus for monitoring of tensioned cables
CN101793622A (en) * 2010-03-17 2010-08-04 东南大学 Method for distinguishing slack supporting cable based on cable force monitoring during support settlement
CN101793620A (en) * 2010-03-17 2010-08-04 东南大学 Health monitoring method of cable system based on cable force monitoring during support settlement

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WO1998057166A1 (en) * 1997-06-11 1998-12-17 Pure Technologies Ltd. Method and apparatus for monitoring of tensioned cables
CN101793622A (en) * 2010-03-17 2010-08-04 东南大学 Method for distinguishing slack supporting cable based on cable force monitoring during support settlement
CN101793620A (en) * 2010-03-17 2010-08-04 东南大学 Health monitoring method of cable system based on cable force monitoring during support settlement

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN102706593A (en) * 2012-05-29 2012-10-03 东南大学 Problem cable and support translation progressive identification method on basis of cable force monitoring during temperature variation
CN102706626A (en) * 2012-05-29 2012-10-03 东南大学 Slack cable identification method on basis of cable force monitoring during temperature variation

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