CN101334275A - Cable system health monitoring method based on strain monitoring cable structure - Google Patents

Cable system health monitoring method based on strain monitoring cable structure Download PDF

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CN101334275A
CN101334275A CNA2008100208517A CN200810020851A CN101334275A CN 101334275 A CN101334275 A CN 101334275A CN A2008100208517 A CNA2008100208517 A CN A2008100208517A CN 200810020851 A CN200810020851 A CN 200810020851A CN 101334275 A CN101334275 A CN 101334275A
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cable
strain
vector
rope
damage
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CNA2008100208517A
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CN100595514C (en
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韩玉林
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东南大学
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Abstract

The invention discloses a health monitoring system of a cable system in a cable structure on the basis of strain monitoring; a plurality of times of mechanical calculation is carried out on the basis of the reference model of the mechanical calculation of a structure, the times of the calculation is equal to the number of cables. Supposing that only one cable has unit damage during each calculation, the calculation result of each time constitutes a current strain calculation vector; a strain change vector is obtained by that each current strain calculation vector minus an initial strain vector; all the strain change vectors constitute a unit damage strain change matrix. According to the similar linear relation between the current strain vector (constituted by the current measured strain of all the given points) and the initial strain vector, the unit damage strain change matrix, an unit damage scalar and a current cable damage vector (constituted by current damage amount of all cables), the noninferior solution of the current cable damage vector can be figured out fast by utilizing the suitable algorithms of multi-objective optimization algorithm, etc., therefore, the position and the degree of damage of the damaged cable can be determined accurately.

Description

Health monitor method based on cable system in the Cable Structure of strain monitoring
Technical field
The present invention is based on strain monitoring and discern damaged cable in the cable system (referring to all ropeway carrying-ropes) of Cable Structure (particularly large-scale Cable Structure, for example large-scale cable-stayed bridge, suspension bridge), belong to the engineering structure health monitoring field.
Background technology
Cable system is the key components of Cable Structure normally, its inefficacy usually brings the inefficacy of total, the damaged cable of discerning based on structural health monitoring technology in the cable system of Cable Structure (particularly large-scale Cable Structure, for example large-scale cable-stayed bridge, suspension bridge) is a kind of method that has potentiality.Structural health monitoring technology mainly by the monitoring to Suo Li, is discerned damaged cable and degree of injury thereof according to the variation of Suo Li at present.Yet with regard to single rope, its Suo Li changes to be had clear and definite with its health status (degree of injury), the relation of monotone variation, but, when this root rope is a Cable Structure (particularly large-scale Cable Structure, for example large-scale cable-stayed bridge, during in cable system suspension bridge) one, because the Suo Li of each Gent standing wire changes the influence that not only is subjected to its self health status, also be subjected to the influence of other rope health status, therefore when observing the variation of Suo Li of each Gent standing wire, even under this Suo Xiangtong health status (identical degree of injury or not damaged) condition, also can monitor its Suo Li changes negative just suddenly suddenly, suddenly big or suddenly small phenomenon, this identification to damaged cable is very disadvantageous.Also there are not a kind of disclosed, effective health monitoring systems and method to solve this problem at present.The health status of each root rope is except meeting influences the Suo Li of all ropes, also can influence the distortion or the strain of Cable Structure, the system and method that passes through the monitoring of the distortion of Cable Structure or strain is realized the health monitoring of cable system of open report also not occur at present.
For can be to Cable Structure (particularly large-scale Cable Structure, for example large-scale cable-stayed bridge, suspension bridge) the health status of cable system reliable monitoring and judgement are arranged, the method of the variation of a distortion of can rational and effective setting up Cable Structure or strain with the relation between the health status of all ropes in the cable system must be arranged, and the health monitoring systems of setting up based on this method can provide the health evaluating of more believable cable system.
Summary of the invention
Technical matters: the objective of the invention is at Cable Structure (particularly large-scale Cable Structure, for example large-scale cable-stayed bridge, suspension bridge) in the health monitoring problem of cable system, a kind of health monitor method based on cable system in the Cable Structure of strain monitoring that can monitor Cable Structure (particularly large-scale Cable Structure, for example large-scale cable-stayed bridge, suspension bridge) is rationally and effectively disclosed.
Technical scheme: the present invention is made up of three parts.Be respectively the method for setting up required knowledge base of cable system health monitoring and parameter, cable system health status appraisal procedure, the software and hardware part of health monitoring systems based on the strain (or distortion) of knowledge base (containing parameter) and actual measurement Cable Structure.
First of the present invention: foundation is used for the knowledge base of cable system health monitoring and the method for parameter.Can be divided into following three steps:
1. set up the calculating benchmark model (for example finite element benchmark model) of Cable Structure.Design drawing according to Cable Structure, the measured data of as-constructed drawing and Cable Structure (comprises the planform data, the rope force data, measured datas such as structural modal data, to cable-stayed bridge, suspension bridge and the bridge type data of Yan Shiqiao, the rope force data, the modal data of bridge), utilize mechanics method (for example finite element method) to set up calculating (for example finite element) benchmark model of this structure, the Structure Calculation data that calculate based on this calculating benchmark model (for example finite element benchmark model) are (to cable-stayed bridge, suspension bridge and the bridge type data of Yan Shiqiao, the rope force data, the modal data of bridge) must be very near its measured data, error generally must not be greater than 5%.Can guarantee like this to calculate strain computational data, Suo Li computational data, planform computational data and displacement computational data etc. under the analog case of calculating gained on the benchmark model, the measured data when truly taking place near analog case reliably at this.
The structural strain data can be described by the strain specified point of K on the structure, that reach L assigned direction of each specified point, and the variation of structural strain data is exactly the variation of all components of strain of K specified point.(individual strain measurement value of M=K * L) or calculated value characterize structural strain to each total M.K and M generally must not be less than the quantity of rope.
If total N root rope, availability vector ε so in the cable system oThe initial strain vector (referring to formula (1)) of all specified points in the expression Cable Structure.Because of under these conditions, the initial strain of calculating the specified point of gained based on the calculating benchmark model of Cable Structure approaches the measured data of the initial strain of specified point reliably, in the narration of back, will represent calculated value and measured value with prosign.
ε o=[ε o1o2…ε oi…ε oM] T (1)
ε in the formula (1) Oi(i=1,2,3 ...., M; M 〉=N) is an i initial strain component (supposing this rope not damaged this moment) in the Cable Structure, and this component is according to the components of strain of coding rule corresponding to specified point.T represents the transposition (back together) of vector.
2. set up Cable Structure unit damage strain variation matrix Δ ε.On the basis of the Mechanics Calculation benchmark model of Cable Structure, 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 that unit damage D is arranged u(unit damage should strain variation less and that it causes can accurately be identified by sensor, for example get 10% damage and be unit damage), the rope that occurs damage during each calculates is different from the rope that occurs damage in other time calculating, calculate all current components of strain of all utilizing mechanics method (for example finite element method) to calculate all specified points of Cable Structure each time, calculate to form each time that the calculating of all specified points is current answers variable vector (when hypothesis j root rope had unit damage, available formula (2) was represented the current variable vector ε that answers of the calculating of all specified points t j); The current variable vector of answering of the calculating that calculates each time deducts the initial strain vector, and the gained vector is exactly that the strain variation vector of (is mark with the position of rope that unit damage is arranged or numbering etc.) (when j root rope has unit damage, is used δ ε under this condition jExpression strain variation vector, formula (3) is seen in definition, formula (3) deducts formula (1) gained for formula (2)), each element representation of strain variation vector supposition owing to calculating has the change amount of strain of certain direction of the pairing specified point of this element that the unit damage of the Na Gensuo of unit damage causes; Have N root rope that N strain variation vector just arranged, each strain variation vector have M (the individual element of M 〉=N), being made up of successively this N strain variation vector has the unit damage of M * N element strain variation matrix Δ ε, the definition of Δ ε is as the formula (4).
ϵ t j = [ ϵ t 1 j ϵ t 2 j · · · ϵ ti j · · · ϵ tM j ] T - - - ( 2 )
Element ε in the formula (2) Ti j(i=1,2,3 ...., M; J=1,2,3 ...., N; M 〉=when N) expression has unit damage owing to j root rope, according to the current strain of calculating pairing certain specified point of coding rule, certain direction, that be numbered i.
δϵ j = ϵ t j - ϵ o - - - ( 3 )
Δϵ = Δϵ 1,1 Δϵ 1.2 · Δϵ 1 , j · Δϵ 1 , N Δϵ 2,1 Δϵ 2,2 · Δϵ 2 , j · Δϵ 2 , N · · · · · · Δϵ i , 1 Δϵ i , 2 · Δϵ i , j · Δϵ i , N · · · · · · Δϵ M , 1 Δϵ M , 2 · Δϵ M , j · Δϵ M , N - - - ( 4 )
Δ ε in the formula (4) I, j(i=1,2,3 ...., M; J=1,2,3 ...., N; The expression of M 〉=N) only owing to j root rope have that unit damage causes, according to the variation (algebraic value) of pairing certain specified point of coding rule, certain direction, as to be numbered i strain.Strain variation vector δ ε jBe actually the row among the matrix Δ ε, that is to say that formula (4) also can write an accepted way of doing sth (5).
Δε=[δε 1?δε 2…δε j…δε N] (5)
3. cable system current (calculating or actual measurement) answers variable vector ε with initial strain vector ε o, unit damage strain variation matrix Δ ε, unit damage scalar D uAnd the linear approximate relationship between the vectorial d of current damage, as the formula (6).
ϵ = ϵ o + 1 D u Δϵ · d - - - ( 6 )
Current definition of answering variable vector ε is similar to initial strain vector ε in the formula (6) oDefinition, referring to formula (7); The definition of the vectorial d of the current damage of cable system is referring to formula (8); D uBe unit damage, illustrated in front.
ε=[ε 12…ε i…ε M] T (7)
ε in the formula (7) i(i=1,2,3 ...., M; M 〉=N) be Cable Structure, according to pairing certain specified point of coding rule, certain direction, as to be numbered i current strain.
d=[d 1?d 2…d i…d N] T (8)
D in the formula (8) i(i=1,2,3 ...., N) be the current damage of cable system i root rope; d iBeing to represent not damaged at 0 o'clock, is to represent that this rope thoroughly lost load-bearing capacity at 100% o'clock, represents to lose the load-bearing capacity of corresponding proportion in the time of between 0 and 100%.
Represented that rope thoroughly lost load-bearing capacity at 100% o'clock if establish rope damage and be, when actual damage is not too big, (for example be not more than 30% damage) so, because the Cable Structure material still is in the linear elasticity stage, the distortion of Cable Structure is also less, and the represented a kind of like this linear relationship of formula (6) is less with the error of actual conditions.Error with linear relationship shown in the error vector e expression (6) of formula (9) definition.
e = abs ( 1 D u Δϵ · d - ϵ + ϵ o ) - - - ( 9 )
Abs () is the function that takes absolute value in the formula (9), and each element of the vector of trying to achieve in the bracket is taken absolute value.
Second portion of the present invention: based on the cable system health status appraisal procedure of knowledge base (containing parameter) and current actual measurement structural strain (strain of specified point).Because there is certain error in the represented linear relationship of formula (6), therefore can not be simply according to formula (6) and survey current answer variable vector ε directly to find the solution to obtain rope damage vectorial d.If done like this, the rope that obtains damages the element among the vectorial d even big negative value can occur, just negative damage, and this obviously is irrational.Therefore obtaining acceptable the separating (promptly have reasonable error, but can determine the position and the degree of injury thereof of damaged cable more accurately from cable system) that rope damages vectorial d becomes a rational solution, and available formula (10) is expressed this method.
abs ( 1 D u Δϵ · d - ϵ + ϵ o ) ≤ g - - - ( 10 )
Abs () is the function that takes absolute value in the formula (10), and vectorial g describes the reasonable deviation that departs from ideal linearity relation (formula (6)), is defined by formula (11).
g=[g 1?g 2…g i…g M] T (11)
G in the formula (11) i(i=1,2,3 ...., M) maximum allowable offset of the ideal linearity relation that departs from shown in the formula (6) has been described.Vector g can be selected according to the error vector e tentative calculation of formula (9) definition.
At initial strain vector ε o(actual measurement obtains), Cable Structure unit damage strain variation matrix Δ ε (calculating), current variable vector ε and the unit damage D of answering of actual measurement uWhen (setting before calculating Δ ε) is known, can utilize suitable algorithm (for example multi-objective optimization algorithm) to find the solution formula (10), the acquisition rope damages the acceptable of vectorial d and separates, thereby determines the position and the degree of injury of damaged cable.
Third part of the present invention: the software and hardware part of health monitoring systems.Hardware components comprises strain monitoring system (for example comprising the signal conditioner of strain transducer, correspondence etc.), signal picker and computing machine.Require the strain of all assigned directions of each specified point of monitoring in real time, for example can monitor the strain of all assigned directions of each specified point with a plurality of strain transducers.Software should the following function of tool: the data in real time that software section at first transmits according to the strain monitoring system or quasi real time analyze and obtain the current variable vector ε that answers, the cable system unit damage strain variation matrix Δ ε of reading pre-stored, initial strain vector ε then oWith unit damage value D uFind the solution formula (10) according to suitable algorithm (for example multi-objective optimization algorithm), the rope that obtains cable system damages the noninferior solution of vectorial d, just has reasonable error but can be more exactly determine the position of damaged cable and separating of degree of injury thereof from cable system.
The inventive method specifically comprises:
A. determine the coding rule of rope, with rope numberings all in the Cable Structure, this numbering will be used to generate the vector sum matrix in subsequent step by this rule;
B. determine the measured point of appointment, measured point promptly characterizes all specified points of structural strain, and gives all specified point numberings; Determine measured should the changing direction of measured point, and numbering; Above-mentioned numbering will be used to generate the vector sum matrix equally in subsequent step; The quantity of measurement point generally must not be less than the quantity of rope; The quantity sum that all appointments of the specified point that all are measured should be changed direction must not be less than the quantity of rope;
C. under Cable Structure not damaged conditioned disjunction can be thought the not damaged condition, directly measure the initial strain of all specified points that calculate Cable Structure, form initial strain vector ε o
D. under Cable Structure not damaged conditioned disjunction can be thought the not damaged condition, when actual measurement obtains the initial strain vector, survey the initial rope force data of all ropes that obtain Cable Structure and the initial geometric data of structure;
E. according to the measured data of design drawing, as-constructed drawing and the Cable Structure of Cable Structure, set up the Mechanics Calculation benchmark model of Cable Structure, the measured data of Cable Structure comprises the initial rope force data and the initial geometric data of all ropes of structure at least;
F. on the basis of Mechanics Calculation benchmark model, carry out the several times Mechanics Calculation, obtain unit damage strain variation matrix Δ ε by calculating;
G. actual measurement obtains the current actual measurement strain of all specified points of Cable Structure, forms the current variable vector ε that answers;
H. define the vectorial d of the current damage of cable system, the element number of current damage vector equals the quantity of rope, is one-to-one relationship between the element of current damage vector and the rope, and the element numerical value of current damage vector is represented the degree of injury or the health status of corresponding rope;
I. the current variable vector ε that answers of foundation is with initial strain vector ε o, unit damage strain variation matrix Δ ε, unit damage scalar D uAnd the linear approximate relationship that exists between the vectorial d of the current damage of cable system to be asked, this linear approximate relationship can be expressed as formula 1, and other amount in the formula 1 except that d is known, finds the solution formula 1 and just can calculate the vectorial d of current damage;
ϵ = ϵ o + 1 D u Δϵ · d Formula 1
J. because the element numerical value of the vectorial d of current damage is represented the degree of injury of corresponding rope,, promptly realized the health monitoring of cable system in the Cable Structure so define the impaired and degree of injury of which rope according to current damage vector; If the numerical value of a certain element of current cable damage vector is 0, represent that the pairing rope of this element is intact, do not damage; If its numerical value is 100%, represent that then the pairing rope of this element has completely lost load-bearing capacity; If its numerical value between 0 and 100%, is then represented this rope and has been lost the load-bearing capacity of corresponding proportion.
In step f, the concrete grammar that obtains unit damage strain variation matrix is:
F1. on the basis of Mechanics Calculation benchmark model, 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 that unit damage is arranged, the rope that occurs damage in calculating each time is different from the rope that occurs damage in other time calculating, calculate all current components of strain of all specified points in the Cable Structure each time, the current strain of all that calculate is each time formed one and is calculated the current variable vector of answering;
F2. that calculates each time calculates currently answers variable vector to deduct the initial strain vector to obtain a strain variation vector; There is N root rope that N strain variation vector just arranged;
F3. form the unit damage strain variation matrix that the N row are arranged successively by this N strain variation vector; Each row of unit damage strain variation matrix are corresponding to a strain variation vector in other words.
Beneficial effect: system and method disclosed by the invention is having only under the synchronously impaired condition of not many rope (for example 30 ropes or 30% rope) monitoring and evaluation very exactly to go out health status (position and the degree of injury that comprise all damaged cables of cable system, because this moment, the distortion of Cable Structure was less, linear relationship is better).When damaged cable a lot (for example impaired synchronously more than 30 ropes or 50% above rope), monitoring and evaluation goes out the position and the degree of injury thereof of most damaged cables quite exactly.The rope of considering cable system damages normally lack of balance, non-a large amount of ropes are synchronously impaired, and system and method disclosed by the invention is very useful to effective health monitoring of cable system.
Embodiment
At the health monitoring of the cable system of Cable Structure (particularly large-scale Cable Structure, for example large-scale cable-stayed bridge, suspension bridge), the invention discloses a kind of system and method for the health status of each root rope in the cable system of can monitoring rationally and effectively in the Cable Structure.The following describes of embodiments of the invention in fact only is exemplary, and purpose never is to limit application of the present invention or use.
The present invention adopts a kind of algorithm, and this algorithm is used to monitor the health status of the cable system (all ropes) in the Cable Structure (particularly large-scale Cable Structure, for example large-scale cable-stayed bridge, suspension bridge).During concrete enforcement, the following step is a kind of in the various steps that can take.
The first step: determine the coding rule of rope, all ropes are numbered by this rule.This numbering will be used to generate the vector sum matrix in subsequent step.Determine the measured point (promptly all characterize the specified point of structural strain field) and the measured components of strain, and to its numbering.Each specified point can be exactly a near point the fixed endpoint (drag-line that for example is cable-stayed bridge is at the stiff end on the bridge floor) of each root rope, and this point generally should not be a stress concentration point, to avoid occurring excessive strain measurement value; This numbering will be used to generate the vector sum matrix equally in subsequent step; The quantity of measurement point must not be less than the quantity of rope.In the strain that each specified point can only be measured a direction, the strain that also can measure a plurality of directions.
Second step: calculate the initial strain of all assigned directions of all specified points of Cable Structure after directly measuring or measuring, all initial strain numerical value is formed initial strain vector ε oSimultaneously, calculate the initial Suo Li and the original geometric form data (is exactly its initial bridge type data for cable-stayed bridge) of all ropes of Cable Structure after directly measuring or measuring.
The 3rd step: the Mechanics Calculation benchmark model of setting up Cable Structure.Design drawing according to Cable Structure, the measured data of as-constructed drawing and Cable Structure (comprises structure original geometric form data, strain data, the initial Suo Li of all ropes, data such as structural modal data, to cable-stayed bridge, suspension bridge and the bridge type data of Yan Shiqiao, strain data, the rope force data, the modal data of bridge), utilize mechanics method (for example adopting finite element method) to set up the Mechanics Calculation benchmark model of this structure (for example finite element benchmark model), calculate the computational data of structure (to cable-stayed bridge based on this benchmark model, suspension bridge is the bridge type data and the rope force data of bridge at least) must be very near its measured data, error generally must not be greater than 5%.
The 4th step: set up Cable Structure unit damage strain variation matrix Δ ε.On the basis of the Mechanics Calculation benchmark model of Cable Structure, 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 that unit damage D is arranged u(unit damage should strain variation less and that it causes can accurately be identified by sensor, for example get 10% damage and be unit damage), the rope that occurs damage in calculating each time is different from the rope that occurs damage in other time calculating, calculate each time and all utilize mechanics method (for example adopting finite element method) to calculate the current strain of all assigned directions of all specified points in the cable system in the Cable Structure, calculate each time and form a current variable vector ε that answers of calculating; The current variable vector of answering of the calculating that calculates each time deducts the initial strain vector, the gained vector is exactly the strain variation vector of (is mark with the position of rope that unit damage is arranged or numbering etc.) under this condition, and each element representation of strain variation vector supposition owing to calculating has the strain change amount of the assigned direction of the pairing specified point of this element that the unit damage of the Na Gensuo of unit damage causes; Have N root rope that N strain variation vector just arranged, each strain variation vector has M element (strain of K specified point, L direction of the designated measurement of each specified point to be arranged, M=K * L; Perhaps different specified points has the not necessarily direction of measurement of equal number, M is the quantity sum of the measured components of strain), being made up of successively this N strain variation vector has the unit damage of M * N element strain variation matrix Δ ε, and each row of unit damage strain variation matrix Δ ε are corresponding to a strain variation vector in other words.
The 5th step: set up linear relationship error vector e and vectorial g.Utilize data (the initial coordinate vector ε in preceding four steps o, unit damage strain variation matrix Δ ε), when the 4th step calculated each time, promptly in that " calculating each time in the hypothesis cable system is having only a rope that unit damage D is arranged uThe rope that occurs damage in calculating each time is different from the rope that occurs damage in other time calculating, calculate each time and all utilize mechanics method (for example adopting finite element method) to calculate the current strain of all assigned directions of all specified points in the cable system in the Cable Structure, calculate to form one each time and calculate the current variable vector ε that answers " time; calculate each time and form a vectorial d of damage, this damages in all elements of vectorial d has only the numerical value of an element to get D u, the numerical value of other element gets 0, damages that numerical value is D among the vectorial d uThe unit damage degree D of element unique damaged cable when calculating corresponding to this time uWith ε, ε o, Δ ε, D u, d brings formula (10) into, obtains a linear relationship error vector e, calculates a linear relationship error vector e each time; Have N root rope that N calculating is just arranged, N linear relationship error vector e just arranged, will obtain a vector after this N the linear relationship error vector e addition, the new vector that each element of this vector is obtained after divided by N is exactly final linear relationship error vector e.Vector g equals final error vector e.
The 6th step: the hardware components of pass line structural healthy monitoring system.Hardware components comprises at least: strain monitoring system (for example containing strain transducer, signal conditioner etc.), signal (data) collector, the computing machine and the panalarm of communicating by letter.The strain of each assigned direction of each specified point all must be arrived by the strain monitoring system monitoring; The strain of each assigned direction of each specified point of strain monitoring system monitoring, and with signal and be transferred to signal picker; Signal is delivered to computing machine through signal picker; Computing machine then is responsible for the health monitoring software of the cable system of operation Cable Structure, comprises the signal that the transmission of tracer signal collector comes; When monitoring rope when damage is arranged, the computer control communication panalarm to monitor staff, owner and (or) personnel of appointment report to the police.
The 7th step: with initial strain vector ε o, Cable Structure unit damage strain variation matrix Δ ε and unit damage D uBe kept on the hard disc of computer of operation health monitoring systems software etc. the mode of parameter with data file.
The 8th step: work out also the cable system health monitoring systems software of installation and operation Cable Structure on computers.This software comprises following several functional module: read initial strain vector ε the data file on being stored in hard disc of computer 1. o, Cable Structure unit damage strain variation matrix Δ ε, unit damage D uWith all call parameters.2. the signal that transmits by signal picker of (or trigger-type) at random record regularly.3. the signal to record carries out signal Processing, calculates the current strain of all assigned directions of each specified point, and the current variable vector ε that answers is formed in all current strains.4. the current variable vector ε that answers of foundation is with initial strain vector ε o, unit damage strain variation matrix Δ ε, unit damage scalar D uAnd the linear approximate relationship (formula (6)) that exists between the vectorial d of the current damage of cable system (forming) by all Suo Dangqian amount of damage, calculate the noninferior solution of the vectorial d of the current damage of cable system according to multi-objective optimization algorithm, just have reasonable error but can from all ropes, determine the position of damaged cable and separating of degree of injury thereof more exactly.
The multi-objective optimization algorithm that can adopt has a variety of, for example: based on the multiple-objection optimization of genetic algorithm, based on the multiple-objection optimization of artificial neural network, based on the multi-objective optimization algorithm of population, multiple-objection optimization, leash law (Constrain Method), weighted method (Weighted Sum Method), goal programming method (Goal Attainment Method) or the like based on ant group algorithm.Because various multi-objective optimization algorithms all are conventional algorithms, can realize easily, this implementation step is that example provides the process of finding the solution the vectorial d of current damage with the goal programming method only, and the specific implementation process of other algorithm can realize in a similar fashion according to the requirement of its specific algorithm.
According to the goal programming method, formula (6) can transform the multi-objective optimization question shown in an accepted way of doing sth (12) and the formula (13), γ is a real number in the formula (12), R is a real number field, area of space Ω has limited the span (each element of present embodiment requirements vector d is not less than 0, is not more than 1) of each element of vectorial d.The meaning of formula (12) is to seek the real number γ of a minimum, makes formula (13) be met.G (d) is defined by formula (14) in the formula (13), the deviation that allows between middle G (d) of the product representation formula (13) of weighing vector W and γ and the vectorial g in the formula (13), and the definition of g is referring to formula (11), and its value calculates in the 5th step.Vector W can be identical with vectorial g during actual computation.The concrete programming of goal programming method realizes having had universal program directly to adopt.Use the goal programming method just can damage vectorial d in the hope of current cable.
minimize γ
γ∈R,d∈Ω (12)
G(d)-Wγ≤g (13)
G ( d ) = abs ( 1 D u Δϵ · d - ϵ + ϵ o ) - - - ( 14 )
If it is 0 that the current cable that solves is damaged the numerical value of a certain element of vectorial d, represent that the pairing rope of this element is intact, do not damage; If its numerical value is 100%, represent that then the pairing rope of this element has completely lost load-bearing capacity; If its numerical value between 0 and 100%, is then represented this rope and has been lost the load-bearing capacity of corresponding proportion.5. data systematic function.Can regularly or by the personnel operation health monitoring systems generate cable system health condition form.6. warning function.Under specified requirements, automatically the operation communication panalarm to monitor staff, owner and (or) personnel of appointment report to the police.

Claims (2)

1. health monitor method based on cable system in the Cable Structure of strain monitoring is characterized in that described method comprises:
A. determine the coding rule of rope, with rope numberings all in the Cable Structure, this numbering will be used to generate the vector sum matrix in subsequent step by this rule;
B. determine the measured point of appointment, measured point promptly characterizes all specified points of structural strain, and gives all specified point numberings; Determine measured should the changing direction of measured point, and numbering; Above-mentioned numbering will be used to generate the vector sum matrix equally in subsequent step; The quantity of measurement point generally must not be less than the quantity of rope; The quantity sum that all appointments of the specified point that all are measured should be changed direction must not be less than the quantity of rope;
C. under Cable Structure not damaged conditioned disjunction can be thought the not damaged condition, directly measure the initial strain of all specified points that calculate Cable Structure, form initial strain vector ε o
D. under Cable Structure not damaged conditioned disjunction can be thought the not damaged condition, when actual measurement obtains the initial strain vector, survey the initial rope force data of all ropes that obtain Cable Structure and the initial geometric data of structure;
E. according to the measured data of design drawing, as-constructed drawing and the Cable Structure of Cable Structure, set up the Mechanics Calculation benchmark model of Cable Structure, the measured data of Cable Structure comprises the initial rope force data and the initial geometric data of all ropes of structure at least;
F. on the basis of Mechanics Calculation benchmark model, carry out the several times Mechanics Calculation, obtain unit damage strain variation matrix Δ ε by calculating;
G. actual measurement obtains the current actual measurement strain of all specified points of Cable Structure, forms the current variable vector ε that answers;
H. define the vectorial d of the current damage of cable system, the element number of current damage vector equals the quantity of rope, is one-to-one relationship between the element of current damage vector and the rope, and the element numerical value of current damage vector is represented the degree of injury or the health status of corresponding rope;
I. the current variable vector ε that answers of foundation is with initial strain vector ε o, unit damage strain variation matrix Δ ε, unit damage scalar D uAnd the linear approximate relationship that exists between the vectorial d of the current damage of cable system to be asked, this linear approximate relationship can be expressed as formula 1, and other amount in the formula 1 except that d is known, finds the solution formula 1 and just can calculate the vectorial d of current damage;
ϵ = ϵ o + 1 D u Δϵ · d Formula 1
J. because the element numerical value of current damage vector is represented the degree of injury of corresponding rope,, promptly realized the health monitoring of cable system in the Cable Structure so just can define the impaired and degree of injury of which rope according to current damage vector; If the numerical value of a certain element of current cable damage vector is 0, represent that the pairing rope of this element is intact, do not damage; If its numerical value is 100%, represent that then the pairing rope of this element has completely lost load-bearing capacity; If its numerical value between 0 and 100%, is then represented this rope and has been lost the load-bearing capacity of corresponding proportion.
2. the health monitor method based on cable system in the Cable Structure of strain monitoring according to claim 1 is characterized in that in step f, and the concrete grammar that obtains unit damage strain variation matrix is:
F1. on the basis of Mechanics Calculation benchmark model, 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 that unit damage is arranged, the rope that occurs damage in calculating each time is different from the rope that occurs damage in other time calculating, calculate all current components of strain of all specified points in the Cable Structure each time, the current strain of all that calculate is each time formed one and is calculated the current variable vector of answering;
F2. that calculates each time calculates currently answers variable vector to deduct the initial strain vector to obtain a strain variation vector; There is N root rope that N strain variation vector just arranged;
F3. form the unit damage strain variation matrix that the N row are arranged successively by this N strain variation vector; Each row of unit damage strain variation matrix are corresponding to a strain variation vector in other words.
CN200810020851A 2008-07-29 2008-07-29 Cable system health monitoring method based on strain monitoring cable structure CN100595514C (en)

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