CN101334338B - Cable structure cable system healthy monitoring method based on space coordinates monitoring - Google Patents
Cable structure cable system healthy monitoring method based on space coordinates monitoring Download PDFInfo
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Abstract
The invention discloses a method for the health monitoring of a cable system in a cable structure on the basis of space coordinate monitoring, which carries out a plurality of times of mechanical calculation on the basis of a mechanical calculation benchmark model of a structure, and the calculation time is equal to the number of the cables. In each calculation, supposing that only one cable has unit damage, the results of all the calculation form a vector for calculating the current coordinate; a coordinate change vector is obtained by that each vector for calculating the current coordinate subtracts an initial coordinate vector; all the coordinate change vectors form the coordinate change matrix of the unit damage. According to the approximate linear relationship existing between the current coordinate vector (formed by the current actual measurement coordinates of all specified points) and the initial coordinate vector, the coordinate change matrix of the unit damage, unit damage scalar and the current cable damage vector (formed by all the current cable damage quantity), and by utilizing proper algorithms such as the multi-objective optimization algorithm, etc., the non-inferior solution of the current cable damage vector can be quickly calculated, therefore, the position and the damage degree of the damaged cable can be more accurately determined.
Description
Technical field
The present invention is based on space coordinate 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 shape or the volume coordinate of Cable Structure, the system and method that passes through the monitoring of the shape of Cable Structure or volume coordinate 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 shape of can rational and effective setting up Cable Structure or volume coordinate 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 space coordinate 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 volume coordinate (or shape) 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 Suo Li computational data, planform computational data and spatial coordinates calculation 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 planform data are described by the volume coordinate specified point of K on the structure, that reach L assigned direction of each specified point, and the variation of planform data is exactly the variation of all coordinate components of K specified point.(individual measurement of coordinates value of M=K * L) or calculated value characterize planform to each total M.K and M generally must not be less than the quantity of rope.When mentioning planform in the back, can be used as the structure space coordinate and understand, vice versa.
If total N root rope, availability vector C so in the cable system
oThe initial coordinate vector (referring to formula (1)) of all specified points in the expression Cable Structure.Because of under these conditions, the initial coordinate of calculating the specified point of gained based on the calculating benchmark model of Cable Structure approaches the measured data of the initial coordinate of specified point reliably, in the narration of back, will represent calculated value and measured value with prosign.
C
o＝[C
o1?C
o2?···?C
oi?···?C
oM]
T (1)
C in the formula (1)
Oi(i=1,2,3 ...., M; M 〉=N) is an i initial coordinate component (supposing this rope not damaged this moment) in the Cable Structure, and this component is according to the coordinate components of coding rule corresponding to specified point.T represents the transposition (back together) of vector.
2. set up Cable Structure unit injury coordinate variation matrix Δ C.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 shape or changes in coordinates 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 coordinate components that all utilize mechanics method (for example finite element method) to calculate all specified points of Cable Structure each time, (when hypothesis j root rope had unit damage, available formula (2) was represented the current coordinate vector C of the calculating of all specified points to calculate the current coordinate vector of calculating of forming all specified points each time
t j); The current coordinate vector of the calculating that calculates each time deducts the initial coordinate vector, and the gained vector is exactly that the coordinate 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 C under this condition
jThe denotation coordination change vector, formula (3) is seen in definition, formula (3) deducts formula (1) gained for formula (2), δ C
iIn fact expressed the displacement of specified point with respect to initial position, so δ C
jMay also be referred to as motion vector), each element representation of coordinate variation vector supposition owing to calculating has the change amount of coordinate 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 coordinate variation vector just arranged, each coordinate variation vector have M (the individual element of M 〉=N), being made up of successively this N coordinate variation vector has the unit injury coordinate variation matrix of M * N element Δ C, the definition of Δ C is as the formula (4).Be similar to δ C
jCan be called current motion vector, Δ C may also be referred to as the unit damage transposed matrix.
Element G 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 coordinate of calculating pairing certain specified point of coding rule, certain direction, that be numbered i.
Δ C in the formula (4)
Ij(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 coordinate.Coordinate variation vector δ C
jBe actually the row among the matrix Δ C, that is to say that formula (4) also can write an accepted way of doing sth (5).
ΔC＝[δC
1?δC
2?···?δC
j?···?δC
N] (5)
3. cable system current (calculating or actual measurement) coordinate vector C is with initial coordinate vector C
o, unit injury coordinate variation matrix Δ C, unit damage scalar D
uAnd the linear approximate relationship between the vectorial d of current damage, shown in (6) or formula (7).
The definition of current coordinate vector C is similar to initial coordinate vector C in formula (6) and the formula (7)
oDefinition, referring to formula (8); The definition of the vectorial d of the current damage of cable system is referring to formula (9); D
uBe unit damage, illustrated in front.The left side of formula (7) is that C deducts C
o, be actually current motion vector, therefore we can say also that formula (7) expressed current motion vector and (be defined as C and deduct C
o) the damage transposed matrix Δ C of commensurate, unit damage scalar D
uAnd the linear approximate relationship between the vectorial d of current damage.
C＝[C
1?C
2?···?C
i?···?C
M]
T (8)
C in the formula (8)
i(i=1,2,3 ...., M; M 〉=N) is Cable Structure, according to pairing certain specified point of coding rule, certain direction, as to be numbered i current coordinate.
d＝[d
1?d
2?···?d
i?···?d
N]
T (9)
D in the formula (9)
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) or formula (7) is less with the error of actual conditions.Error with linear relationship shown in the error vector e expression (6) of formula (10) definition or the formula (7).
Abs () is the function that takes absolute value in the formula (10), 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 planform (coordinate of specified point).Because there is certain error in the represented linear relationship of formula (6) formula (7), therefore can not be simply according to formula (6) or formula (7) with survey current coordinate vector C and directly find the solution and obtain rope and damage vectorial d.If done like this, the rope that obtains damages the element among the vectorial d even bigger 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 (11) is expressed this method.
Abs () is the function that takes absolute value in the formula (11), and vectorial g describes the reasonable deviation that departs from ideal linearity relation (formula (6) or formula (7)), is defined by formula (12).
g＝[g
1?g
2?···?g
i?···?g
M]
T (12)
G in the formula (12)
i(i=1,2,3 ...., M) maximum allowable offset of the ideal linearity relation that departs from shown in formula (6) or the formula (7) has been described.Vector g can be selected according to the error vector e tentative calculation of formula (10) definition.
At initial coordinate vector C
o(actual measurement obtains), Cable Structure unit injury coordinate variation matrix Δ C (calculating), the current coordinate vector C of actual measurement and unit damage D
uWhen (setting before calculating Δ C) is known, can utilize suitable algorithm (for example multi-objective optimization algorithm) to find the solution formula (11), 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 shape (coordinate) monitoring system, signal picker and computing machine.Require the coordinate of all assigned directions of each specified point of monitoring in real time.Software should the following function of tool: the data in real time that software section at first transmits according to shape (coordinate) monitoring system or quasi real time analyze and obtain current coordinate vector C, the cable system unit injury coordinate variation matrix Δ C of reading pre-stored, initial coordinate vector C then
oWith unit damage value D
uFind the solution formula (11) 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 planform, and gives all specified point numberings; Determine the measured coordinate 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 of all specified coordinate directions of the specified point that all are measured 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 coordinate of all specified points that calculate Cable Structure, form initial coordinate vector C
o
D. under Cable Structure not damaged conditioned disjunction can be thought the not damaged condition, when actual measurement obtained the initial coordinate vector, actual measurement obtained the initial rope force data of all ropes of Cable 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 coordinate vector 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 injury coordinate variation matrix Δ C by calculating;
G. actual measurement obtains the current actual measurement coordinate of all specified points of Cable Structure, forms current coordinate vector C;
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 coordinate vector C of foundation is with initial coordinate vector C
o, unit injury coordinate variation matrix Δ C, 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;
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 injury coordinate 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 coordinate components of all specified points in the Cable Structure each time, the current coordinate of all that calculate is formed a current coordinate vector of calculating each time;
F2. that calculates each time calculates current coordinate vector and deducts the initial coordinate vector and obtain a coordinate variation vector; There is N root rope that N coordinate variation vector just arranged;
F3. form the unit injury coordinate variation matrix that the N row are arranged successively by this N coordinate variation vector; Each row of unit injury coordinate variation matrix are corresponding to a coordinate 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 measured point (promptly all characterize the specified point of planform) and measured coordinate components, and to its numbering.Each specified point can be exactly the fixed endpoint (for example being the stiff end of drag-line on bridge floor of cable-stayed bridge) of each root rope; 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.Can only measure the coordinate of a direction at each specified point, also can measure the coordinate of a plurality of directions.
Second step: calculate the initial coordinate of all assigned directions of all specified points of Cable Structure after directly measuring or measuring, the initial coordinate numerical value of all specified points is formed initial coordinate vector C
oSimultaneously, calculate the initial Suo Li 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 shape or coordinate 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, coordinate 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 that the rope force data and the bridge type data of bridge are coordinate data 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 injury coordinate variation matrix Δ C.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 changes in coordinates 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 in the Cable Structure the current coordinate of all assigned directions of all specified points in the cable system, calculate each time and form one and calculate current coordinate vector C; The current coordinate vector of the calculating that calculates each time deducts the initial coordinate vector, the gained vector is exactly the coordinate 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 coordinate variation vector supposition owing to calculating has the coordinate 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 coordinate variation vector just arranged, each coordinate variation vector has M element (coordinate that K specified point, L direction of the designated measurement of each specified point are arranged, M=K * L; Perhaps different specified points has the not necessarily direction of measurement of equal number, M is the quantity sum of measured coordinate components), being made up of successively this N coordinate variation vector has the unit injury coordinate variation matrix of M * N element Δ C, and each row of unit injury coordinate variation matrix Δ C are corresponding to a coordinate variation vector in other words.
The 5th step: set up linear relationship error vector e and vectorial g.Utilize data (the initial coordinate vector C in preceding four steps
o, unit injury coordinate variation matrix Δ C), 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 in the Cable Structure the current coordinate of all assigned directions of all specified points in the cable system, calculate to form one each time and calculate current coordinate vector C " 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 C, C
o, Δ C, 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: coordinate monitoring system (for example containing sensor, signal conditioner etc.), signal picker, the computing machine and the panalarm of communicating by letter.The coordinate of each assigned direction of each specified point all must be arrived by the coordinate monitoring system monitoring; The coordinate of each assigned direction of each specified point of coordinate monitoring system monitoring, and with signal and be transferred to signal (data) collector; Signal is delivered to computing machine through signal picker; Computing machine then is responsible for the health monitoring software of cable system in the 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 coordinate vector C
o, Cable Structure unit injury coordinate variation matrix Δ C 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: establishment and cable system health monitoring systems software in the installation and operation Cable Structure on computers.This software comprises following several functional module: read initial coordinate vector C the data file on being stored in hard disc of computer 1.
o, Cable Structure unit injury coordinate variation matrix Δ C, 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 coordinate of all assigned directions of each specified point, and all current coordinates are formed current coordinate vector C.4. the current coordinate vector C of foundation is with initial coordinate vector C
o, unit injury coordinate variation matrix Δ C, 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 (13) and the formula (14), γ is a real number in the formula (13), 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 (13) is to seek the real number γ of a minimum, makes formula (14) be met.G (d) is defined by formula (15) in the formula (14), the deviation that allows between middle G (d) of the product representation formula (14) of weighing vector W and γ and the vectorial g in the formula (14), and the definition of g is referring to formula (12), 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.Just can damage vectorial d according to the goal programming method in the hope of current cable.
minimize?γ
(13)
γ∈R，d∈Ω
G(d)-Wγ≤g (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 space coordinate 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 planform, and gives all specified point numberings; Determine the measured coordinate 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 must not be less than the quantity of rope; The quantity sum of all specified coordinate directions of the specified point that all are measured 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 coordinate of all specified points that calculate Cable Structure, form initial coordinate vector C
o
D. under Cable Structure not damaged conditioned disjunction can be thought the not damaged condition, when actual measurement obtained the initial coordinate vector, actual measurement obtained the initial rope force data of all ropes of Cable 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 coordinate vector 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 injury coordinate variation matrix Δ C by calculating;
G. actual measurement obtains the current actual measurement coordinate of all specified points of Cable Structure, forms current coordinate vector C;
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 coordinate vector C of foundation is with initial coordinate vector C
o, unit injury coordinate variation matrix Δ C, 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;
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 space coordinate monitoring according to claim 1 is characterized in that in step f, and the concrete grammar that obtains unit injury coordinate 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 coordinate components of all specified points in the Cable Structure each time, the current coordinate components of all that calculate is formed a current coordinate vector of calculating each time;
F2. that calculates each time calculates current coordinate vector and deducts the initial coordinate vector and obtain a coordinate variation vector; There is N root rope that N coordinate variation vector just arranged;
F3. form the unit injury coordinate variation matrix that the N row are arranged successively by this N coordinate variation vector; Each row of unit injury coordinate variation matrix are corresponding to a coordinate variation vector in other words.
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| CN101387600B (en) * | 2008-10-17 | 2010-10-27 | 东南大学 | Cable system health monitoring method in cable structure based on mixed monitor |
| CN101504333B (en) * | 2009-01-09 | 2011-02-16 | 东南大学 | Progressive health monitoring method for cable structure median cord system based on strain monitoring |
| CN101692019B (en) * | 2009-10-13 | 2011-06-08 | 东南大学 | Method for indentifying carrying cable needing to adjust cable force on basis of space coordinate monitoring |
| CN101789054A (en) * | 2010-03-17 | 2010-07-28 | 东南大学 | Health monitoring method of cable system based on space coordinate monitoring during support settlement |
| CN102288435A (en) * | 2011-05-13 | 2011-12-21 | 东南大学 | Health monitoring method of cable system based on cable force monitoring during angular displacement of support |
| CN102288426A (en) * | 2011-05-13 | 2011-12-21 | 东南大学 | Progressive health monitoring method of cable system based on spatial coordinate monitoring in angular displacement of supporting seat |
| CN102323074A (en) * | 2011-05-31 | 2012-01-18 | 东南大学 | The method of going forward one by one based on the generalized displacement of hybrid monitoring identification damaged cable slack line bearing |
| CN102252862B (en) * | 2011-05-31 | 2013-10-09 | 东南大学 | Health monitoring method of space coordinate monitoring and recognition damaged cable support generalized displacement |
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