CN102323092A - Cable monitoring based loose cable monitoring method applied in supporting seat generalized displacement - Google Patents

Cable monitoring based loose cable monitoring method applied in supporting seat generalized displacement Download PDF

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CN102323092A
CN102323092A CN201110143129A CN201110143129A CN102323092A CN 102323092 A CN102323092 A CN 102323092A CN 201110143129 A CN201110143129 A CN 201110143129A CN 201110143129 A CN201110143129 A CN 201110143129A CN 102323092 A CN102323092 A CN 102323092A
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current
cable structure
rope
cable
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韩玉林
吴志友
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Southeast University
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Southeast University
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Abstract

The invention discloses a cable monitoring based loose cable monitoring method applied in supporting seat generalized displacement. The need of updating a mechanical calculation reference model of a structure is decided by monitoring supporting seat generalized coordinates of the structure, based on angle monitoring, and the mechanical calculation reference model of the structure is updated only when the supporting seat generalized coordinates of the structure vary, so that a new mechanical calculation reference model of the structure included in the supporting seat generalized coordinates of the structure is obtained, and a unit damage monitored quantity variance matrix is obtained by calculating on the basis of the model. A virtual damaged cable is calculated and recognized according to approximate linear relations between a current strain vector and an initial strain vector, a virtual unit damage strain variance matrix and a current virtual damage vector. After a true damaged cable is identified with a nondestructive examination method, the remaining virtual damaged cables are loose support cables, i.e., cables of which the cable force need to be adjusted, and the cable length needing to be adjusted can be determined according to a relation between the loose degree and the virtual damage degree.

Description

During the bearing generalized displacement based on the method for the identification slack line of cable force monitoring
Technical field
(for example the bearing generalized displacement refers to that bearing is along the angular displacement around X, Y, Z axle of the displacement of the lines of X, Y, Z axle and bearing in that the bearing generalized displacement is arranged; Corresponding to the bearing generalized displacement; The bearing generalized coordinate refers to that bearing is about the coordinate of X, Y, Z axle and the bearing angular coordinate about X, Y, Z axle) time; 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 (refer to all supporting ropes) in the supporting rope of need adjustment Suo Li, and provide the long adjustment amount of concrete rope, genus 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 supporting rope can change the lax variation that also can cause the supporting cable force of its supporting rope behind the structure long service usually after a period of time; 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, and therefore accurately and timely discerning needs the supporting rope of adjustment Suo Li to be very important.
The health status of supporting cable system changes after (for example take place lax, damage etc.); 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 discern damaged cable based on cable force monitoring (the present invention is called monitored Suo Li " monitored amount ", and the back is mentioned " monitored amount " and just is meant monitored Suo Li), monitored amount is except the influence that receives the cable system health status; Also can receive the influence of Cable Structure bearing generalized displacement (usually can take place), also not have a kind of disclosed, effective health monitoring systems and method to solve this problem at present.Therefore can monitor based on monitored amount and discern the rope that needs adjustment Suo Li; Like this when the bearing generalized 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 adjustment Suo Li) between the characteristic parameter of monitored amount with all ropes just must be arranged, and the recognition result of the supporting rope of the need adjustment Suo Li that sets up based on this method just can be more credible.
Summary of the invention
Technical matters:The objective of the invention is when the Cable Structure bearing has generalized displacement; To identification problem in the cable system in the Cable Structure, that need the supporting rope of adjustment Suo Li, a kind of structure health monitoring method monitoring, that can discern the supporting rope that needs adjustment Suo Li rationally and effectively based on Suo Li equivalent is disclosed.
Reason according to the Suo Li that supports rope changes can change the three kinds of situation that be divided into the Suo Li of supporting rope: the one, and the supporting rope has received damage, for example supports rope and localized cracks and corrosion or the like have occurred; The 2nd, supporting rope 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 support the drift of that section rope between rope two supporting end points) under the supporting rope free state (this moment, Suo Zhangli claimed that also Suo Li is 0); The 3rd, supporting rope and not damaged, but the Cable Structure bearing has had generalized displacement, also can cause the variation of structural internal force, also will cause the variation of Suo Li certainly.One of main purpose of the present invention is exactly when the bearing generalized 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 supporting rope drift changes is not single, and for ease, the present invention is referred to as slack line with the supporting rope 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 supporting rope cable system, that need adjustment Suo Li and parameter method, based on knowledge base (containing parameter), based on the generalized displacement of actual measurement Cable Structure bearing, based on the method for the supporting rope of need adjustment Suo Li 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 supporting rope cable system, that need adjustment Suo Li and parameter method, based on knowledge base (containing parameter), based on the generalized displacement of actual measurement Cable Structure bearing, based on the method for the supporting rope of need adjustment Suo Li 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 cable system initial virtual damage vector d o (, claim here " virtual lesion ", back with) because in fact the supporting rope possibly be lax and not damage is the expression difference, set up the initial Mechanics Calculation benchmark model A of Cable Structure o(for example finite element benchmark model, A in the present invention oBe constant).
If it is total in the cable system NThe root rope, " initial virtual damage vector is designated as cable system d o " (shown in (01)), use d o The expression Cable Structure is (with the initial Mechanics Calculation benchmark model A of Cable Structure oThe health status of cable system expression).
Figure 941140DEST_PATH_IMAGE001
(01)
In the formula (01) d Oj ( j=1,2,3 ...., N) expression A oIn cable system jThe initial virtual impairment 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, representes 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 cable system initial virtual damage vector (is designated as according to formula (01) d o ) time, the data of utilizing the Non-Destructive Testing data etc. of rope can express the health status of rope are set up cable system initial virtual damage vector d o If when not having the data of Non-Destructive Testing data and other health status that can express rope of 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 Mechanics Calculation 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 following:
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, structural angle degrees of data, rope force data, draw-bar pull data, Cable Structure bearing generalized coordinate data, Cable Structure modal data; To cable-stayed bridge, suspension bridge and the modal data of the bridge type data of Yan Shiqiao, rope force data, bridge), utilize mechanics method (for example finite element method) to set up A oIf there is not the measured data of the structure in the Cable Structure completion; So just before setting up health monitoring systems, structure is surveyed; The measured data that obtains Cable Structure (comprises measured datas such as Cable Structure shape data, rope force data, draw-bar pull data, Cable Structure bearing generalized coordinate data, Cable Structure modal data; To cable-stayed bridge, suspension bridge and bridge type data of Yan Shiqiao, rope force data, the modal data of bridge, the Non-Destructive Testing data of rope etc. can be expressed the data of the health status of rope); According to design drawing, the as-constructed drawing of these data and Cable Structure, utilize mechanics method (for example finite element method) to set up A oNo matter which kind of method to obtain A with o, based on A oThe Cable Structure computational data that calculates (to cable-stayed bridge, suspension bridge and the modal data of the bridge type data of Yan Shiqiao, rope force data, bridge) must be very near its measured data, and error generally must not be greater than 5%.Can guarantee to utilize A like this oStrain computational data, Suo Li computational data, Cable Structure shape computational data and displacement computational data, Cable Structure angle-data etc. under the analog case of calculating gained, the measured data when truly taking place near institute's analog case reliably.Corresponding to A oCable Structure bearing generalized coordinate data form initial Cable Structure bearing generalized coordinate vector U oA oWith U oBe constant.
If it is total in the cable system NRoot supporting rope, structure rope force data just by NThe Suo Li of root supporting rope describes.For simplicity, in the present invention " the monitored rope force data of structure " abbreviated as " monitored amount ".When mentioning " so-and-so matrix of monitored amount 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 670061DEST_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).
Vectorial among the present invention with the current numerical value of monitored amount CThe vector of forming by the currency of all monitored amounts in the Cable Structure (formula (2) is seen in definition).
(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 generalized coordinate vector U t In Cable Structure military service process, constantly actual measurement obtains Cable Structure bearing generalized coordinate current data (all data composition current cable structure actual measurement bearing generalized coordinate vectors U t , vector U t Definition mode with the vector U oIdentical).Cable Structure bearing generalized coordinate current data when for simplicity, the last time being upgraded current Mechanics Calculation benchmark model is designated as current cable structural bearings generalized 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 generalized coordinate data and obtains current cable structure actual measurement bearing generalized coordinate vector U t If, U t Equal U t o, then need be to A t oUpgrade; If U t Be not equal to U t o, then need be to 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 generalized displacement (with bearing generalized displacement vector VThe generalized displacement of expression bearing).Upgrade A t oMethod be: to A oIn the Cable Structure bearing apply current bearing generalized displacement constraint, the numerical value of current bearing generalized displacement constraint is just taken from current bearing generalized displacement vector VThe numerical value of middle corresponding element is to A oIn the Cable Structure bearing apply current bearing generalized displacement constraint after, that finally obtain is exactly the current Mechanics Calculation benchmark model A of renewal 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 following:
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 on the basis of original virtual lesion (original virtual lesion can be 0, can not be 0 also), to increase virtual unit damage (for example getting 5%, 10%, 20% or 30% equivalent damage is virtual unit damage) again.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, therefore must according to after the formula that provides of the literary composition nominal virtual lesion that 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 " (shown in (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 the 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 of monitored amount vector 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 suc as formula shown in (8).
Figure 184536DEST_PATH_IMAGE004
(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 143134DEST_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 93772DEST_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 suc as formula shown in (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 suc as formula shown in (7).
Figure 913961DEST_PATH_IMAGE007
(6)
Figure 266445DEST_PATH_IMAGE008
(7)
The definition of each amount was narrated in front in the formula (7).
Figure 208993DEST_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 generalized coordinate current data, in case monitor U t Be not equal to U t o, then need get back to for second step to A t oUpgrade, to A t oIt is right to get into 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 following.
Cable system " current (calculating or actual measurement) numerical value vector of monitored amount C" " initial value of monitored amount is vectorial 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).
Figure 786210DEST_PATH_IMAGE010
(9)
Figure 206827DEST_PATH_IMAGE011
(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 866347DEST_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.
Figure 979797DEST_PATH_IMAGE013
(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 842711DEST_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" come directly to 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 confirm 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 67019DEST_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 128515DEST_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 dConfirm the position and the virtual lesion degree of virtual damaged cable,, need just to have confirmed rope and the long adjustment amount of rope thereof of adjustment Suo Li then according to position and the relax level of below the method for narration being confirmed slack line.
Figure 599817DEST_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, representes in the time of between 0 and 100% jThe load-bearing capacity of root rope forfeiture corresponding proportion, vector dCoding rule and the formula (1) of element in vector d o The coding rule of element identical.
Figure 12344DEST_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 confirm the position and the relax level of slack line.
If it is total in the cable system NRoot supporting rope, structure rope force data by NThe Suo Li of root supporting rope describes.Available " initial rope force vector F o " represent that all support the initial Suo Li (formula (18) is seen in definition) of ropes in the 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 978026DEST_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 supporting rope, this element is according to the Suo Li of coding rule corresponding to appointment supporting rope.Vector F o It is constant.Setting up the initial Mechanics Calculation 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 supporting ropes in the Cable Structure that obtains of expression actual measurement.
Figure 159608DEST_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 supporting rope.
Among the present invention, under supporting rope original state (not damaged, do not have lax), and the supporting rope is when being in free state (free state refers to that Suo Li is 0, back with), and the length of supporting rope is called initial drift, with " initial drift vector l o " represent that all support the initial drift (formula (20) is seen in definition) of ropes in the Cable Structure.
Figure 536232DEST_PATH_IMAGE021
(20)
In the formula (20) l Oj ( j=1,2,3, ., N) be in the Cable Structure jThe initial drift of root supporting rope.Vector l o Be constant, after when beginning, confirming, just no longer change.
Among the present invention, with " current drift vector l" represent that all support the current drift (formula (21) is seen in definition) of ropes in the Cable Structure.
Figure 436055DEST_PATH_IMAGE022
(21)
In the formula (21) l j ( j=1,2,3, ., N) be in the Cable Structure jThe current drift of root supporting rope.
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 supporting ropes in (or claiming supporting Suo Dangqian relax level vector) expression Cable Structure.
Figure 939848DEST_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 supporting rope, formula (23), Δ are seen in its definition 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 supporting rope, the long adjustment amount of rope of this rope when also being adjustment Suo Li.
Figure 241517DEST_PATH_IMAGE024
(23)
Through 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 j(its current relax level is used Δ to individual supporting rope l j The current actual virtual lesion degree of definition) carrying out the virtual impaired supporting rope 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 supporting rope 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 confirm 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 confirm (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 confirm (referring to formula (25)), also can adopt and confirm based on other methods such as trial and error procedure of finite element method.
Figure 602091DEST_PATH_IMAGE025
(24)
(25)
In formula (24) and the formula (25) EBe the elastic modulus of this supporting rope, ABe the cross-sectional area of this supporting rope, F j Be the current cable power of this supporting rope, d j Be the current actual virtual lesion degree of this supporting rope, ωBe the weight of the unit length of this supporting rope, l Jx It is the horizontal range of two supporting end points of this supporting rope.Item in the formula (25) in [] is the Ernst equivalent elastic modulus of this supporting rope, can just can confirm to support Suo Dangqian relax level vector 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 generalized displacement of monitoring Cable Structure bearing, monitoring Suo Li, monitoring supporting rope 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 be used following function by tool: software section should be accomplished the process that first of the present invention sets, and promptly accomplishes functions such as needed among the present invention, as can to use computer realization monitoring, record, control, storage, calculating, notice, warning.
 
The inventive method specifically comprises:
A. establish total N root rope, at first confirm the coding rule of rope, with rope numberings all in the Cable Structure, this numbering will be used to generate the vector sum matrix in subsequent step by this rule;
B. structure rope force data just by NThe Suo Li of root supporting rope describes; For simplicity, in the present invention " the monitored rope force data of structure " abbreviated as " monitored amount "; When mentioning " so-and-so matrix of monitored amount 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. the data of utilizing the Non-Destructive Testing data etc. of rope can express the health status of rope are set up initial virtual damage vector d o If when not having the data of Non-Destructive Testing data and other health status that can express rope of rope, vector d 1 o Each element numerical value get 0.
D. setting up initial virtual damage 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 damage vector d o Initial value vector with monitored amount C o The time, directly measure the initial Suo Li that calculates all supporting ropes, form initial rope force vector F o Simultaneously, obtain the initial drift that all support ropes, 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, actual measurement or obtain elastic modulus, density, the initial cross sectional area of all ropes according to structural design, completion information;
F. set up the initial Mechanics Calculation benchmark model A of Cable Structure o, set up initial Cable Structure bearing generalized coordinate vector U o, 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 bearing generalized coordinate 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 Mechanics Calculation benchmark model A of Cable Structure oIf there is not the measured data of the structure in the Cable Structure completion; So just before setting up health monitoring systems, this Cable Structure is surveyed; Obtain the measured data of Cable Structure equally; According to design drawing, the as-constructed drawing of these data and Cable Structure, utilize mechanics method to set up the initial Mechanics Calculation benchmark model A of Cable Structure equally oNo matter which kind of method to obtain A with o, based on A oThe Cable Structure computational data that calculates must be very near its measured data, and difference therebetween must not be greater than 5%; Corresponding to A oCable Structure bearing generalized coordinate data form initial Cable Structure bearing generalized coordinate vector U oA oWith U oBe constant; For narrating conveniently 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 oIt is convenient to be similarly narration, name " Cable Structure actual measurement bearing generalized coordinate vector U t ", in structure military service process, constantly actual measurement obtains Cable Structure bearing generalized coordinate current data, and all Cable Structure bearing generalized coordinate current datas are formed " current cable structure actual measurement bearing generalized coordinate vector U t ", vector U t Element with the vector U oThe generalized coordinate of the equidirectional of the element representation same abutment of same position; For the purpose of narrating conveniently, the last time is upgraded A t oThe time Cable Structure bearing generalized coordinate current data be designated as current cable structural bearings generalized 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 bearing generalized coordinate comprises two kinds of line amount and angle amounts;
When g. health monitoring systems is started working, make A t oEqual A oConstantly actual measurement obtains Cable Structure bearing generalized coordinate current data in structure military service process, and all Cable Structure bearing generalized coordinate current datas are formed current cable structure actual measurement bearing generalized coordinate vector U t , according to current cable structure actual measurement bearing generalized coordinate vector U t , upgrade the current Mechanics Calculation benchmark model of Cable Structure A where necessary t oWith current cable structural bearings generalized 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, through 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 supporting ropes 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 space coordinates of two supporting end points of all support cables, and the space coordinates 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; Can guarantee like this before this step and this step with each vector that occurs 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" " initial value of monitored amount is vectorial 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 548892DEST_PATH_IMAGE027
formula 1
L. the current actual virtual lesion vector that utilizes formula 2 to express dElement d j With initial virtual damage 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 377171DEST_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 corresponding supporting rope of 0 element is exactly problematic supporting rope, problematic supporting Suo Keneng is slack line, also possibly is damaged cable, its numerical response the degree of lax or damage;
M. from the problematic supporting rope that l identified the step, identify damaged cable, remaining is exactly slack line.
N. be utilized in the current actual virtual lesion vector that the l step obtains dObtain the current actual virtual lesion degree of slack line, be utilized in the current cable force vector that the i step obtains F, be utilized in the volume coordinates that i goes on foot two supporting end points of all supporting ropes that obtain, be utilized in the initial drift vector of e step acquisition l o Be utilized in elastic modulus, density, the initial cross sectional area data of all ropes of e step acquisition; Through 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 supporting rope drift, has just confirmed the long adjustment amount of rope of the supporting rope 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 generalized coordinate vector U t , upgrade the current Mechanics Calculation benchmark model of Cable Structure A where necessary t oWith current cable structural bearings generalized coordinate vector U t oConcrete grammar be:
G1. actual measurement obtains current cable structure actual measurement bearing generalized coordinate vector U t After, relatively U t With U t oIf, U t Equal U t o, then need be to A t oUpgrade;
G2. actual measurement obtains current cable structure actual measurement bearing generalized coordinate vector U t After, relatively U t With U t oIf, U t Be not equal to U t o, then need be to 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 generalized displacement of Cable Structure bearing, with current bearing generalized displacement vector VThe generalized displacement of expression bearing, current bearing generalized displacement vector VIn element and bearing generalized displacement component between be one-to-one relationship, current bearing generalized displacement vector VIn the numerical value of an element corresponding to the rotation of an assigned direction of an appointment bearing; Upgrade A t oMethod be: to A oIn the Cable Structure bearing apply current bearing generalized displacement constraint, the numerical value of current bearing generalized displacement constraint is just taken from current bearing generalized displacement vector VThe numerical value of middle corresponding element is to A oIn the Cable Structure bearing apply current bearing generalized displacement constraint after, that finally obtain is exactly the current Mechanics Calculation benchmark model A of renewal 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, through 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 on the basis of original virtual lesion, to increase virtual unit damage again; 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 each time formed one " the current numerical value vector of the calculating of monitored amount ".When hypothesis the jWhen the root rope has unit damage, available C Tj " the current evaluation vector of monitored amount that expression is corresponding C Tj ".When in this step, giving each vectorial element numbering; Should use same coding rule with other vector among the present invention; Can guarantee any element in each vector in this step like this; With element in other vector, that numbering is identical, expressed the relevant information of same monitored amount or same target;
H3. that calculates each time " the current evaluation vector of monitored amount C Tj " deduct " initial value of monitored amount vector 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 of the monitored amount " vector "; 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 generalized 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 generalized 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 to the health monitoring of the cable system of Cable Structure.The following explanation of embodiments of the invention in fact only is exemplary, and purpose never is to limit application of the present invention or use.
Occur at the Cable Structure bearing under the situation of generalized displacement, the 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 practical implementation, the following step is a kind of in the various steps that can take.
The first step: confirm type, position and the quantity of monitored amount, and numbering.Detailed process is:
If total N root rope, the coding rule of at first definite rope, with rope numberings all in the Cable Structure, this numbering will be used to generate the vector sum matrix in subsequent step by this rule.
Cable Structure rope force data just by NThe Suo Li of root supporting rope describes.For simplicity, when in the present invention " the monitored rope force data of structure " being abbreviated as " monitored amount " and mention " so-and-so matrix of monitored amount 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 damage vector d o If when not having the data of Non-Destructive Testing data and other health status that can express rope of rope, perhaps can think when the structure original state is not damaged, no relaxed state vector d o Each element numerical value get 0.
The 3rd step: setting up initial virtual damage 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 supporting ropes 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 supporting rope according to structural design data, completion data l o "; Simultaneously, actual measurement 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 damage 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 confirm according to these coordinate datas the geometric properties of Cable Structure.As far as cable-stayed bridge, the original geometric form data can be the spatial datas that the spatial data of the end points of all ropes adds some points on the bridge two ends, so-called bridge type data that Here it is.
Set up the initial Mechanics Calculation benchmark model A of Cable Structure o, set up initial Cable Structure bearing generalized coordinate vector U o, 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 bearing generalized coordinate 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 Mechanics Calculation benchmark model A of Cable Structure oIf there is not the measured data of the structure in the Cable Structure completion; So just before setting up health monitoring systems, this Cable Structure is surveyed; Obtain the measured data of Cable Structure equally; According to design drawing, the as-constructed drawing of these data and Cable Structure, utilize mechanics method to set up the initial Mechanics Calculation benchmark model A of Cable Structure equally oNo matter which kind of method to obtain A with o, based on A oThe Cable Structure computational data that calculates must be very near its measured data, and difference therebetween must not be greater than 5%; Corresponding to A oCable Structure bearing generalized coordinate data form initial Cable Structure bearing generalized coordinate vector U oA oWith U oBe constant; For narrating conveniently 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 oIt is convenient to be similarly narration, name " Cable Structure actual measurement bearing generalized coordinate vector U t ", in structure military service process, constantly actual measurement obtains Cable Structure bearing generalized coordinate current data, and all Cable Structure bearing generalized coordinate current datas are formed " current cable structure actual measurement bearing generalized coordinate vector U t ", vector U t Element with the vector U oThe generalized coordinate of the equidirectional of the element representation same abutment of same position; For the purpose of narrating conveniently, the last time is upgraded A t oThe time Cable Structure bearing generalized coordinate current data be designated as current cable structural bearings generalized 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: 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 generalized coordinate monitoring system (for example containing total powerstation, angular transducer, signal conditioner etc.), respectively support horizontal range monitoring system, signal (data) collector, the computing machine and the panalarm of communicating by letter of rope two supporting end points.The horizontal range of the Suo Li of each monitored amount, each supporting rope and each root supporting rope 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 accomplished functions such as monitoring that the present invention's method of the identification slack line of cable force monitoring " during bearing generalized displacement based on " required by task wants, record, control, storage, calculating, notice, warning (all work that can accomplish with computing machine in this practical implementation method); And can regularly or by the personnel operation health monitoring systems generate cable system health condition form; Can also be according to the condition of setting (for example damage reach a certain value), notice or prompting monitor staff notify specific technician to accomplish necessary evaluation work automatically.
The 7th step: when health monitoring systems is started working, make A t oEqual A oConstantly actual measurement in structure military service process (for example measuring the angle coordinate of the outer normal of seating plane with angular transducer) obtains Cable Structure bearing generalized coordinate current data, and all Cable Structure bearing generalized coordinate current datas are formed current cable structure actual measurement bearing generalized coordinate vector U t , according to current cable structure actual measurement bearing generalized coordinate vector U t , upgrade the current Mechanics Calculation benchmark model of Cable Structure A where necessary t oWith current cable structural bearings generalized coordinate vector U t oConcrete grammar is: actual measurement obtains current cable structure actual measurement bearing generalized coordinate vector U t After, relatively U t With U t oIf, U t Equal U t o, then need be to A t oUpgrade; Actual measurement obtains current cable structure actual measurement bearing generalized coordinate vector U t After, relatively U t With U t oIf, U t Be not equal to U t o, then need be to 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 generalized displacement of Cable Structure bearing, with current bearing generalized displacement vector VThe generalized displacement of expression bearing, current bearing generalized displacement vector VIn element and bearing generalized displacement component between be one-to-one relationship, current bearing generalized displacement vector VIn the numerical value of an element corresponding to the rotation of an assigned direction of an appointment bearing; Upgrade A t oMethod be: to A oIn the Cable Structure bearing apply current bearing generalized displacement constraint, the numerical value of current bearing generalized displacement constraint is just taken from current bearing generalized displacement vector VThe numerical value of middle corresponding element is to A oIn the Cable Structure bearing apply current bearing generalized displacement constraint after, that finally obtain is exactly the current Mechanics Calculation benchmark model A of renewal 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, through 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 following:
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 on the basis of original virtual lesion, to increase virtual unit damage again; 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 each time formed one " the current numerical value vector of the calculating of monitored amount ".When hypothesis the jWhen the root rope has unit damage, available C Tj " the current evaluation vector of monitored amount that expression is corresponding C Tj ".When in this step, giving each vectorial element numbering; Should use same coding rule with other vector among the present invention; Can guarantee any element in each vector in this step like this; With element in other vector, that numbering is identical, expressed the relevant information of same monitored amount or same target;
C. that calculates each time " the current evaluation vector of monitored amount C Tj " deduct " initial value of monitored amount vector 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 of the monitored amount " vector "; 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.
In this step, reach when giving each vectorial element numbering thereafter; Should use same coding rule with other vector among the present invention; Can guarantee any element in each vector in this step like this; With element in other vector, that numbering is identical, expressed the relevant information of same monitored amount or same target.
The 9th step: set up the linear relationship error vector 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, the 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 numberings 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) CUse C Tj Bring into, d c Use 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 this vector each element 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, supply health monitoring systems software to use.
Will " initial rope force vector F o ", " initial value of monitored amount vector 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 with the mode of data file.
The tenth step: actual measurement obtains the current cable power of all supporting ropes 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 space coordinates of two supporting end points of all support cables, and the space coordinates 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" " initial value of monitored amount is vectorial 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 concrete implementation procedure of other algorithm can realize according to the requirement of its specific algorithm in a similar fashion.
According to the goal programming method, formula (9) can transform the multi-objective optimization question shown in an accepted way of doing sth (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 minimum real number of an absolute value 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 174225DEST_PATH_IMAGE028
(29)
Figure 970012DEST_PATH_IMAGE029
(30)
Figure 143504DEST_PATH_IMAGE030
(31)
Try to achieve current nominal virtual lesion vector d c After ,Can be vectorial according to the current actual virtual lesion that formula (17) obtain dEach element, current actual virtual lesion vector dHave reasonable error exactly but can be more exactly from all ropes, confirm the position of problematic rope (be virtual damaged cable, possibly be impaired also possibly 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 through removing the protective seam of supporting rope; To the visual discriminating of supporting Suo Jinhang; Perhaps carry out visual discriminating by optical imaging apparatus, also can be through lossless detection method to supporting rope 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 supporting rope 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 generalized displacement based on the method for the identification slack line of cable force monitoring, it is characterized in that said method comprises:
    A. establish total N root rope, at first confirm the coding rule of rope, with rope numberings all in the Cable Structure, this numbering will be used to generate the vector sum matrix in subsequent step by this rule;
    B. structure rope force data is just described by the Suo Li of N root supporting rope; For simplicity, " the monitored rope force data of structure " abbreviated as " monitored amount "; When mentioning " so-and-so matrix of monitored amount 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. the data that Non-Destructive Testing data of utilizing rope etc. can be expressed the health status of rope are set up initial virtual and are damaged vectorial d oIf when not having the data of Non-Destructive Testing data and other health status that can express rope of rope, vectorial d 1 oEach element numerical value get 0;
    D. damage vectorial d setting up initial virtual oThe time, directly measurement calculates the initial value of all monitored amounts of Cable Structure, forms the initial value vector C of monitored amount o
    E. damage vectorial d setting up initial virtual oInitial value vector C with monitored amount oThe time, directly measure the initial Suo Li that calculates all supporting ropes, form initial rope force vector F oSimultaneously, obtain the initial drift that all support ropes, form initial drift vector l according to structural design data, completion data oSimultaneously, obtain the initial geometric data of Cable Structure according to structural design data, completion data or actual measurement; Simultaneously, actual measurement or obtain elastic modulus, density, the initial cross sectional area of all ropes according to structural design, completion information;
    F. set up the initial Mechanics Calculation benchmark model A of Cable Structure o, set up initial Cable Structure bearing generalized coordinate vector U o, 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 bearing generalized coordinate 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 Mechanics Calculation benchmark model A of Cable Structure oIf there is not the measured data of the structure in the Cable Structure completion; So just before setting up health monitoring systems, this Cable Structure is surveyed; Obtain the measured data of Cable Structure equally; According to design drawing, the as-constructed drawing of these data and Cable Structure, utilize mechanics method to set up the initial Mechanics Calculation benchmark model A of Cable Structure equally oNo matter which kind of method to obtain A with o, based on A oThe Cable Structure computational data that calculates must be very near its measured data, and difference therebetween must not be greater than 5%; Corresponding to A oCable Structure bearing generalized coordinate data form initial Cable Structure bearing generalized coordinate vector U oA oAnd U oBe constant; For narrating conveniently 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 oIt is convenient to be similarly narration, name " Cable Structure actual measurement bearing generalized coordinate vector U t", in structure military service process, constantly actual measurement obtains Cable Structure bearing generalized coordinate current data, and all Cable Structure bearing generalized coordinate current datas are formed " current cable structure actual measurement bearing generalized coordinate vector U t", vectorial U tElement and vectorial U oThe generalized coordinate of the equidirectional of the element representation same abutment of same position; For the purpose of narrating conveniently, the last time is upgraded A t oThe time Cable Structure bearing generalized coordinate current data be designated as current cable structural bearings generalized coordinate vector U t oDuring beginning, A t oEqual A o, U t oEqual U oA oThe health status of corresponding rope is by d oDescribe; The bearing generalized coordinate comprises two kinds of line amount and angle amounts;
    When g. health monitoring systems is started working, make A t oEqual A oConstantly actual measurement obtains Cable Structure bearing generalized coordinate current data in structure military service process, and all Cable Structure bearing generalized coordinate current datas are formed current cable structure actual measurement bearing generalized coordinate vector U t, according to current cable structure actual measurement bearing generalized coordinate vector U t, upgrade the current Mechanics Calculation benchmark model of Cable Structure A where necessary t oWith current cable structural bearings generalized 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, through calculate obtaining Cable Structure virtual unit damage monitored numerical quantity transformation matrices Δ C and nominal virtual unit damage vector D u
    I. actual measurement obtains the current cable power of all supporting ropes of Cable Structure, forms current cable force vector F; Simultaneously, actual measurement obtain Cable Structure all specify the current measured value of monitored amount, form " the current numerical value vector C of monitored amount "; Actual measurement calculates the volume coordinate of two supporting end points of all supporting ropes; 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, can guarantee like this before this step and this step with each vector that occurs afterwards, number identical element, represent same monitored amount, corresponding to vectorial defined relevant information under this element;
    J. define current nominal virtual lesion vector d to be asked cWith current actual virtual lesion vector d.Damage vectorial d o, d cEqualing the quantity of rope with the element number of d, is one-to-one relationship between the element of damage vector and the rope, and the element numerical value of damage vector is represented the virtual lesion degree or the health status of corresponding rope;
    K. according to " the current numerical value vector C of monitored amount " " the vectorial C of the initial value of monitored amount together 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 d in the formula 1 cOther outer amount is known, finds the solution formula 1 and just can calculate current nominal virtual lesion vector d c
    C=C o+ Δ Cd cFormula 1
    L. utilize the element d of the current actual virtual lesion vector d of formula 2 expression jDamage vectorial d with initial virtual oElement d OjWith current nominal virtual lesion vector d cElement d CjBetween relation, calculate all elements of current actual virtual lesion vector d;
    d j=1-(1-d Oj) (1-d Cj) formula 2
    J=1 in the formula 2,2,3 ..., N;
    Because the element numerical value of current actual virtual lesion vector d is represented the current actual virtual lesion degree of corresponding rope; Be actual relax level or actual damage degree; Numerical value is not that 0 the corresponding support cable of element is exactly problematic support cable among the current actual virtual lesion vector d; Problematic support cable possibly be slack line, also possibly be damaged cable, its numerical response the degree of lax or damage;
    M. from the problematic supporting rope that l identified the step, identify damaged cable, remaining is exactly slack line;
    N. the current actual virtual lesion vector d that is utilized in l step acquisition obtains the current actual virtual lesion degree of slack line; Be utilized in the current cable force vector F that the i step obtains; Be utilized in two volume coordinates that support end points of all supporting ropes of i step acquisition, be utilized in the vectorial l of initial drift that the e step obtains oBe utilized in elastic modulus, density, the initial cross sectional area data of all ropes of e step acquisition; Through 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 supporting ropes 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 supporting rope drift, has just confirmed the long adjustment amount of rope of the supporting rope that those need adjust Suo Li; So just realized the lax identification and the damage identification of supporting rope, institute's demand power is provided by current cable force vector F corresponding element during calculating.
  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 generalized displacement according to claim 1 according to current cable structure actual measurement bearing generalized coordinate vector U t, upgrade the current Mechanics Calculation benchmark model of Cable Structure A where necessary t oWith current cable structural bearings generalized coordinate vector U t oConcrete grammar be:
    G1. actual measurement obtains current cable structure actual measurement bearing generalized coordinate vector U tAfter, compare U tAnd U t oIf, U tEqual U t o, then need be to A t oUpgrade;
    G2. actual measurement obtains current cable structure actual measurement bearing generalized coordinate vector U tAfter, compare U tAnd U t oIf, U tBe not equal to U t o, then need be to A t oUpgrade, update method is: calculate U earlier tWith U oPoor, U tWith U oDifference be exactly that the current cable structural bearings is about setting up A oThe time the current bearing generalized displacement of Cable Structure bearing; Represent the bearing generalized displacement with current bearing generalized displacement vector V; Between element among the current bearing generalized displacement vector V and the bearing generalized displacement component is one-to-one relationship, and the numerical value of an element is corresponding to the rotation of an assigned direction of an appointment bearing among the current bearing generalized displacement vector V; Upgrade A t oMethod be: to A oIn the Cable Structure bearing apply current bearing generalized displacement constraint, the numerical value of current bearing generalized displacement constraint is just taken from the numerical value of corresponding element among the current bearing generalized displacement vector V, to A oIn the Cable Structure bearing apply current bearing generalized displacement constraint after, that finally obtain is exactly the current Mechanics Calculation benchmark model A of renewal t o, upgrade A t oThe time, U t oAll elements numerical value is also used U tAll elements numerical value replaces, and has promptly upgraded U t o, so just obtained correctly corresponding to A t oU 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 generalized 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, through calculate obtaining Cable Structure virtual unit damage monitored numerical quantity transformation matrices Δ C and nominal virtual unit damage vector D uConcrete grammar be:
    When h1. health monitoring systems was started working for the first time, directly h2 obtained Cable Structure virtual unit damage monitored quantitative change matrix Δ C and nominal virtual unit damage vector D to the listed method of step h4 set by step uAfter, if in the step g to A t oUpgrade, directly h2 obtains Cable Structure virtual unit damage monitored quantitative change matrix Δ C and nominal virtual unit damage vector D to the listed method of step h4 set by step uIf, 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; There is N root rope that N calculating is just arranged; Calculating each time in the hypothesis cable system has only a rope on the basis of original virtual lesion, to increase virtual unit damage again; 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 supposes that each time the virtual unit damage value of the rope that virtual unit damage is arranged can be different from the virtual unit damage value of other ropes, with " 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 each time formed one " the current numerical value vector of the calculating of monitored amount "; When hypothesis j root rope has unit damage, available C Tj" the current evaluation vector C of monitored amount that expression is corresponding Tj"; When in this step, giving each vectorial element numbering; Should use same coding rule with other vector among the present invention; Can guarantee any element in each vector in this step like this; With element in other vector, that numbering is identical, expressed the relevant information of same monitored amount or same target;
    H3. that calculates each time " the current evaluation vector C of monitored amount Tj" deduct " initial value of monitored amount vector 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; There is N root rope that N " the numerical value change vector of monitored amount " just arranged;
    H4. form " the monitored numerical quantity transformation matrices of virtual unit damage Δ C " that the N row are arranged successively by this N " the numerical value change vector of monitored amount "; Each row of " the monitored numerical quantity transformation matrices of virtual unit damage Δ C " are 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 cIdentical with the element coding rule of current actual virtual lesion vector d.
CN201110143129A 2011-05-31 2011-05-31 Cable monitoring based loose cable monitoring method applied in supporting seat generalized displacement Pending CN102323092A (en)

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CN102706621A (en) * 2012-05-30 2012-10-03 东南大学 Loosened cable identification method based on cable tension monitoring at moment of generalized displacement of supporting seat and 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
CN102706676A (en) * 2012-05-30 2012-10-03 东南大学 Loosened cable identification method based on cable force monitoring of support angular displacement and temperature change
CN102706657A (en) * 2012-05-30 2012-10-03 东南大学 Damaged cable identification method based on cable force monitoring of support generalized displacement and temperature change

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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
CN101806665A (en) * 2010-03-17 2010-08-18 东南大学 Method for identifying untensioned support cables based on mixed monitoring in presence of support seat settlement

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WO2008123510A1 (en) * 2007-03-30 2008-10-16 Kyoto University Displacement measuring method, displacement measuring apparatus and target for displacement measurement
CN101782945A (en) * 2010-03-17 2010-07-21 东南大学 Method for identifying loose supporting ropes based on space coordinate monitoring during support settlement
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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
CN102706621A (en) * 2012-05-30 2012-10-03 东南大学 Loosened cable identification method based on cable tension monitoring at moment of generalized displacement of supporting seat and temperature variation
CN102706676A (en) * 2012-05-30 2012-10-03 东南大学 Loosened cable identification method based on cable force monitoring of support angular displacement and temperature change
CN102706657A (en) * 2012-05-30 2012-10-03 东南大学 Damaged cable identification method based on cable force monitoring of support generalized displacement and temperature change
CN102706621B (en) * 2012-05-30 2015-04-15 东南大学 Loosened cable identification method based on cable tension monitoring at moment of generalized displacement of supporting seat and temperature variation
CN102706657B (en) * 2012-05-30 2015-07-08 东南大学 Damaged cable identification method based on cable force monitoring of support generalized displacement and temperature change
CN102706676B (en) * 2012-05-30 2015-10-07 东南大学 Based on the slack line recognition methods of cable force monitoring during angular displacement of support temperature variation

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Application publication date: 20120118