CN102288443A - Method for distinguishing damaged cable, slack cable and angular displacement of supporting seat based on strain monitoring - Google Patents
Method for distinguishing damaged cable, slack cable and angular displacement of supporting seat based on strain monitoring Download PDFInfo
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- CN102288443A CN102288443A CN201110122763XA CN201110122763A CN102288443A CN 102288443 A CN102288443 A CN 102288443A CN 201110122763X A CN201110122763X A CN 201110122763XA CN 201110122763 A CN201110122763 A CN 201110122763A CN 102288443 A CN102288443 A CN 102288443A
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Abstract
The invention discloses a method for distinguishing a damaged cable, a slack cable and the angular displacement of a supporting seat based on strain monitoring. By using the method based on the strain monitoring, a mechanical calculation reference model of a cable structure is established according to a design drawing and a completion drawing of the cable structure, the actually measured data and the like of the cable structure; on the basis of the mechanical calculation reference model, the mechanical calculation is carried out for a plurality of times; and a unit change matrix of a monitored quantity of the cable structure is obtained through the calculation. According to the approximate linear relations existing between a current numeric vector of the monitored quantity and an initial vector of the monitored quantity, as well as between the unit change matrix of the monitored quantity of the cable structure and a current health state vector of an estimated object to be solved, the change of a health state of the cable structure can be distinguished, namely, the angular displacement of the supporting seat, the damaged cable and the slack cable are distinguished.
Description
Technical field
Structures such as cable-stayed bridge, suspension bridge, truss-frame structure have a common ground, be exactly that they have many parts that bear tensile load, as suspension cable, main push-towing rope, hoist cable, pull bar or the like, the common ground of this class formation is to be support unit with rope, cable or the rod member that only bears tensile load, and the present invention is " Cable Structure " with such structure representation for simplicity.In the military service process of Cable Structure, the supporting system of Cable Structure (refers to all ropeway carrying-ropes, and all rod members that only bear tensile load that play supporting role, for simplicity, this patent is called " cable system " with whole support unit unifications of this class formation, but in fact cable system not only refers to support cable, also comprise the rod member that only bears tensile load) can be impaired, angular displacement also may appear in the bearing of while Cable Structure, and (for example bearing is around coordinate axis X, Y, the rotation of Z, in fact be exactly that bearing is around coordinate axis X, Y, the angular displacement of Z), these safety that change to Cable Structure are a kind of threats, the present invention is based on structural health monitoring technology, discern the bearing angular displacement based on strain monitoring, damaged cable in the cable system of identification Cable Structure, identification needs to adjust the support cable of Suo Li, and provide the long adjustment amount of concrete rope, belong to the engineering structure health monitoring field.
Background technology
The bearing angular displacement is a significant threat to Cable Structure safety, same, the damage of cable system and lax also will cause harmful effect to the safety of structure, will cause the inefficacy of structure when serious, therefore accurately and timely discern bearing angular displacement, damaged cable and slack line (promptly need adjust the support cable of Suo Li) and be very important.
The variation of the measurable parameter of structure appears can causing behind bearing angular displacement, damaged cable and the slack line in Cable Structure, for example the distortion of Cable Structure or strain meeting change, in fact the variation of strain has comprised the health status information of Cable Structure, that is to say the health status that to utilize the structural strain data to judge structure, can discern bearing angular displacement, damaged cable and slack line based on strain monitoring (the present invention is called monitored strain " monitored amount ", and the back is mentioned " monitored amount " and just is meant monitored strain).
Summary of the invention
Technical matters:The invention discloses a kind of based on health monitor method strain monitoring, that can discern bearing angular displacement, damaged cable and slack line rationally and effectively.
Reason according to the Suo Li of support cable changes can change the three kinds of situations that be divided into the Suo Li of support cable: the one, and support cable has been subjected to damage, and for example localized cracks and corrosion or the like have appearred in support cable; The 2nd, support cable and not damaged, but variation has also taken place in Suo Li, the one of the main reasons that this variation occurs is that variation has taken place the Suo Changdu (be called drift, the present invention specially refers to the drift of that section rope between support cable two supporting end points) under the support cable free state (this moment, Suo Zhangli claimed that also Suo Li is 0); The 3rd, support cable and not damaged, but the Cable Structure bearing has had angular displacement, also can cause the variation of structural internal force, also will cause the variation of Suo Li certainly.For convenience, the present invention is referred to as slack line with the support cable that drift changes.
Technical scheme:The present invention is made up of the two large divisions.Be respectively: one, set up the method for required knowledge base of the health monitoring systems be used to discern bearing angular displacement, damaged cable and slack line and parameter, based on knowledge base (containing parameter), based on the method for bearing angular displacement, damaged cable and the slack line monitoring, the identification Cable Structure of monitored amount equivalent.Two, the software and hardware part of health monitoring systems.
If the quantity sum of the quantity of rope and bearing angular displacement component is
NFor sake of convenience, the present invention unitedly calls evaluated rope and bearing angular displacement to be " evaluation object ", gives the evaluation object serial number, and the present invention is with using variable
iRepresent this numbering,
i=1,2,3 ...,
N, therefore we can say
NIndividual evaluation object.
First of the present invention: set up required knowledge base of the health monitoring systems be used to discern the angular displacement of Cable Structure bearing, damaged cable and slack line and parameter method, based on knowledge base (containing parameter), based on the angular displacement of actual measurement Cable Structure bearing, based on the method for bearing angular displacement, damaged cable and the slack line monitoring, the identification Cable Structure of monitored amount equivalent.Can carry out as follows, to obtain the health status assessment of Cable Structure more accurately.
The first step: at first set up Cable Structure initial health vector
d o , set up the initial mechanical calculating benchmark model A of Cable Structure
o(for example finite element benchmark model, A in the present invention
oBe constant).
" the initial health vector is designated as Cable Structure
d o " (as the formula (1)), use
d o The expression Cable Structure is (with the initial mechanical calculating benchmark model A of Cable Structure
oExpression) health status.
In the formula (1)
d Oi (
i=1,2,3 ....,
N) expression A
oIn Cable Structure
iThe initial health of individual evaluation object is if this evaluation object is the rope (or pull bar) in the cable system, so
d Oi Represent its initial damage,
d Oi Being 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%, if find out the not damage of this rope through Non-Destructive Testing, so
d Oi Represent this rope with
d Oi Relaxing of impairment value mechanics equivalence, the computing method of concrete slack illustrate in the back; If this evaluation object is an angular displacement component of a bearing, so
d Oi Represent its initial angle displacement numerical value.In the formula (1)
TThe transposition of expression vector (back together).
Setting up Cable Structure initial health vector (is designated as according to formula (1)
d o ) time, utilize in the Cable Structure completion or measured data and design drawing, the as-constructed drawing of the bearing angular displacement of the Cable Structure of health monitoring systems in starting working are determined Cable Structure initial health vector
d o Each the element numerical value corresponding to the bearing angular displacement; Non-Destructive Testing data of utilizing rope etc. can be expressed the data of the health status of rope and determine Cable Structure initial health vector
d o Each the element numerical value corresponding to rope; If when not having the data of the Non-Destructive Testing data of rope and other health status that can express rope, can think that perhaps the structure original state is a not damaged when not having relaxed state, vector
d o Each the element numerical value corresponding to rope get 0.
Set up the Mechanics Calculation benchmark model A of Cable Structure
oThe method of (for example finite element benchmark model) is as follows:
Set up A
oThe time, measured data according to the Cable Structure in the Cable Structure completion (comprises measured datas such as Cable Structure shape data, rope force data, draw-bar pull data, Cable Structure support coordinate data, Cable Structure bearing angular data, Cable Structure modal data, 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) and design drawing, as-constructed drawing, utilize mechanics method (for example finite element method) to set up A
oIf there is not the measured data of the structure in the Cable Structure completion, so just before setting up health monitoring systems, structure is surveyed, the measured data that obtains Cable Structure (comprises the Cable Structure shape data, the rope force data, the draw-bar pull data, Cable Structure support coordinate data, Cable Structure bearing angular data, measured datas such as Cable Structure modal data, to cable-stayed bridge, suspension bridge and the bridge type data of Yan Shiqiao, the rope force data, the modal data of bridge, the Non-Destructive Testing data of rope etc. can be expressed the data of the health status of rope), design drawing according to these data and Cable Structure, as-constructed drawing utilizes mechanics method (for example finite element method) to set up A
oNo matter which kind of method to obtain A with
o, based on A
oThe Cable Structure computational data that calculates (to cable-stayed bridge, suspension bridge and the modal data of the bridge type data of Yan Shiqiao, rope force data, bridge) must be very near its measured data, and error generally must not be greater than 5%.Can guarantee to utilize A like this
oStrain computational data, Suo Li computational data, Cable Structure shape computational data and displacement computational data, Cable Structure angle-data etc. under the analog case of calculating gained, the measured data when truly taking place near institute's analog case reliably.
" the whole monitored strain data of structure " can be by on the structure
KIndividual specified point, and each specified point
LThe strain of individual assigned direction is described, and the variation of structural strain data is exactly
KThe variation of all strains of individual specified point.Each total
M(M=K * L)Individual strain measurement value or calculated value characterize structural strain information.
KWith
MGenerally must not less than
N
Among the present invention with monitored amount initial vector
C o The vector (seeing formula (2)) 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.
(2)
In the formula (2)
C Oj (
j=1,2,3,
., M; M 〉=N) be in the Cable Structure
jThe original bulk of individual monitored amount, this component according to coding rule corresponding to specific
jIndividual monitored amount.
TThe transposition of expression vector (back together).
Among the present invention with the current numerical value vector of monitored amount
CThe vector of forming by the currency of all monitored amounts in the Cable Structure (formula (3) is seen in definition).
In the formula (3)
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: set up the monitored amount unit change of Cable Structure matrix
Δ CMethod
Mechanics Calculation benchmark model A in Cable Structure
oThe basis on carry out several times and calculate, equal on the calculation times numerical value
NCalculating hypothesis each time has only an evaluation object (to use Cable Structure initial health vector in former health status
d o Expression) increasing on the basis has unit damage or unit angular displacement (the present invention is called health status unit change again, or abbreviation has unit change), concrete, if this evaluation object is a support cable in the cable system, so just suppose that this support cable increases unit damage and (for example gets 5%, 10%, 20% or 30% equivalent damage is a unit damage), if this evaluation object is the angular displacement component of a direction of a bearing, just suppose that this bearing increases the angular displacement of generation unit in this angular displacement direction and (for example gets 100,000/radian, 2/100000ths radians, 3/100000ths radians etc. are the unit angular displacement), use
D Ui Write down this unit damage or unit angular displacement, wherein
iThe expression hypothesis increases the numbering of the evaluation object that unit damage or unit angular displacement take place.With " unit damage or unit angular displacement vector
D u " (as the formula (4)) write down all unit damage or unit angular displacement.The evaluation object that occurs unit damage or unit angular displacement in calculating each time is different from the evaluation object that occurs unit damage or unit angular displacement in other time calculating, calculate the current calculated value all utilize mechanics method (for example finite element method) to calculate all monitored amounts of Cable Structure each time, the current calculated value of the monitored amount of all that calculate is formed a monitored amount calculation current vector (when hypothesis the each time
iWhen individual monitored amount has unit damage or unit angular displacement, the monitored amount calculation current vector of available formula (5) expression
C t i ); Calculate monitored amount calculation current vector each time and deduct behind the monitored amount initial vector and calculate unit damage or the unit angular displacement numerical value of being supposed divided by this time again, the gained vector is exactly that the monitored quantitative change vector of (with the mark that is numbered of evaluation object that unit damage or unit angular displacement are arranged) is (when the under this condition
iWhen individual evaluation object has unit damage or unit angular displacement, use
δ C i Represent monitored quantitative change vector, formula (6) is seen in definition, formula (6) deducts formula (2) gained for formula (5)), each element representation of monitored quantitative change vector supposition owing to calculating has the change amount of the pairing monitored amount of this element that the unit change of that evaluation object of unit damage or unit angular displacement causes; Have
NIndividual evaluation object just has
NIndividual monitored quantitative change vector is owing to have
MIndividual monitored amount is so each monitored quantitative change vector has
MIndividual element is by this
NIndividual monitored quantitative change vector is formed successively to be had
M * NThe monitored amount unit change matrix of individual element
Δ C,
Δ CDefinition as the formula (7).
Unit damage or unit angular displacement vector in the formula (4)
D u Element
D Ui (
i=1,2,3 ....,
N) expression the
iThe unit damage of individual evaluation object or unit angular displacement numerical value, vector
D u In the numerical value of each element can be the same or different.
(5)
Element in the formula (5)
C Tj i (
i=1,2,3 ....,
N; j=1,2,3 ....,
M; M 〉=N) expression is because the
iWhen individual evaluation object has unit damage or unit angular displacement, according to coding rule pairing
jThe current calculated amount of individual monitored amount.
(7)
In the formula (7)
Δ C J, i (
i=1,2,3 ....,
N; j=1,2,3 ....,
M; M 〉=N) expression is only because the
iIndividual evaluation object have unit change (unit damage or unit angular displacement) cause, according to coding rule pairing
jThe variation (algebraic value) of the current numerical value of calculating of individual monitored amount.Monitored quantitative change vector
δ C i Be actually matrix
Δ CIn one row,
Δ CAlso can use
δ C i Definition is in (8).
Vector in the formula (8)
δ C i (
i=1,2,3 ....,
N) expression is because the
iIndividual evaluation object has unit change
D Ui Cause, the relative value of all monitored amounts changes.Matrix
Δ CRow (subscript
i) coding rule and front vector
d o The subscript of element
iCoding rule identical.
The 3rd step: in Cable Structure military service process, constantly actual measurement obtains the current data of the monitored amount of Cable Structure, forms Cable Structure " current (calculating or actual measurement) numerical value vector of monitored amount
C".
The 4th step: the current health status of identification Cable Structure (angular displacement of identification bearing, damaged cable and slack line).Detailed process is as follows.
The current numerical value vector of monitored amount
C(calculating or actual measurement) is with monitored amount initial vector
C o , monitored amount unit change matrix
Δ CWith the current health status vector of evaluation object
dBetween linear approximate relationship, shown in (9) or formula (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 Structure " the current health status vector of evaluation object
d c " definition see formula (12).
Element in the formula (11)
C j (
j=1,2,3 ....,
M; M 〉=N) be Cable Structure, be numbered according to coding rule is pairing
jThe current numerical value of monitored amount.
(12)
In the formula (12)
d Ci (
i=1,2,3 ....,
N) be Cable Structure
iThe current health status of individual evaluation object.Vector
d c The subscript of element
iCoding 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).
In the formula (13)
Abs ()Be the function that takes absolute value, each element of the vector of trying to achieve in the bracket is taken absolute value.
Because there are certain error in formula (9) or the represented linear relationship of formula (10), therefore can not be simply according to formula (9) or formula (10) and " current (actual measurement) numerical value vector of monitored amount
C" directly find the solution and obtain " the current health status vector of evaluation object
d c ".If done like this, the vector that obtains
d c In element in addition bigger negative value can appear, just may obtain negative damage or negative lax, this obviously is irrational.Therefore obtain vector
d c Acceptable separating (promptly have reasonable error, but can determine bearing angular displacement, the position of determining damaged cable and degree of injury thereof, the position of determining slack line and relax level thereof more exactly) become a rational solution, available formula (14) is expressed this method.
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).
In the formula (15)
g j (
j=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 amount unit change of Cable Structure matrix
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 " the current health status vector of evaluation object
d c " acceptable separating, " current actual health status vector then
d" element of (formula (16) is seen in definition) can calculate according to formula (17), just obtained " current actual health status vector
d", current actual health status vector
dExpressed the actual health status of the Cable Structure that counts initial health.
In the formula (16)
d i (
i=1,2,3 ....,
N) the expression Cable Structure the
iThe current actual health status of individual evaluation object is if this evaluation object is the rope (or pull bar) in the cable system, so
d i Represent its current actual damage,
d i Being 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%; Determine after the damaged cable all damaged cables to be carried out Non-Destructive Testing, find out the not damage of this rope through Non-Destructive Testing, so
d i Represent this rope with
d i Relaxing of impairment value mechanics equivalence just determined slack line thus, and the computing method of concrete slack illustrate below; If this evaluation object is an angular displacement component of a bearing, so
d i Represent its current angular displacement numerical value.Vector
dThe coding rule of element and formula (1) in vector
d o The coding rule of element identical.
In the formula (17)
d Oi (
i=1,2,3 ....,
N) be vector
d o jIndividual element,
d Cj It is vector
d c jIndividual element.
Narration has obtained the current actual health status vector of Cable Structure below
dAfter, how to determine the position and the relax level of slack line.
If it is total in the cable system
QThe root support cable, structure rope force data by
QThe Suo Li of root support cable describes.Available " initial rope force vector
F o " the initial Suo Li (formula (18) is seen in definition) of all support cables in the expression Cable Structure.Because the initial Suo Li that calculates gained based on the calculating benchmark model of Cable Structure approaches the measured data of initial Suo Li reliably, in the narration of back, will represent this calculated value and measured value with prosign.
In the formula (18)
F o (
k=1,2,3,
., Q) be in the Cable Structure
kThe initial Suo Li of root support cable, this element is according to the Suo Li of coding rule corresponding to the appointment support cable.Vector
F o It is constant.Setting up the initial mechanical calculating benchmark model A of Cable Structure
oThe time used vector
F o
Use " current cable force vector among the present invention
F" the current cable power (formula (19) is seen in definition) of all support cables in the Cable Structure that obtains of expression actual measurement.
In the formula (19)
F k (
k=1,2,3,
., Q) be in the Cable Structure
kThe current cable power of root support cable.
Among the present invention, under support cable original state (not damaged, do not have lax), and support cable is when being in free state (free state refers to that Suo Li is 0, back with), and the length of support cable is called initial drift, with " initial drift vector
l o " the initial drift (formula (20) is seen in definition) of all support cables in the expression Cable Structure.
(20)
In the formula (20)
l Ok (
k=1,2,3,
., Q) be in the Cable Structure
kThe initial drift of root support cable.Vector
l o Be constant, after when beginning, determining, just no longer change.
Among the present invention, with " current drift vector
l" the current drift (formula (21) is seen in definition) of all support cables in the expression Cable Structure.
(21)
In the formula (21)
l k (
k=1,2,3,
., Q) be in the Cable Structure
kThe current drift of root support cable.
Among the present invention, with " drift changes vectorial Δ
l" the change amount (formula (22) and formula (23) are seen in definition) of the drift of all support cables in (or claim support cable current relax level vector) expression Cable Structure.
Δ in the formula (22)
l k (
k=1,2,3,
., Q) be in the Cable Structure
kThe change amount of the drift of root support cable, its definition are seen formula (23), Δ
l k Be not that 0 rope is a slack line, Δ
l k Numerical value be the slack of rope, and expression cable system the
kThe current relax level of root support cable also is the long adjustment amount of rope of this rope when adjusting Suo Li.
Vector
F o ,
d c ,
F k ,
l o ,
l, Δ
lCoding rule identical.
Determine after the slack line that by slack line is carried out the relax level identification that slack line is carried out in the mechanics equivalence with damaged cable, the mechanical condition of equivalence is in the present invention:
The mechanics parameters of initial drift, geometrical property parameter and material when one, the nothing of the rope of two equivalences relaxes with not damaged is identical;
Two, after the lax or damage, the Suo Li of the slack line of two equivalences and damage rope be out of shape after length overall identical.
When satisfying above-mentioned two equivalent conditions, the such mechanics function of two support cables in structure is exactly identical, if after promptly replacing slack line with the damaged cable of equivalence, Cable Structure any variation can not take place, vice versa.
Among the present invention, with being numbered
kSupport cable (its current relax level Δ
l k Definition is corresponding to vector
F o ,
d c ,
F k ,
l o ,
l, Δ
l kIndividual element) the current actual health status of carrying out the impaired support cable of equivalence is used
d c k Expression (
d c k It is the current actual health status vector of support cable
d c kIndividual element).Lax the
kThe current relax level Δ of individual support cable
l k (Δ
l k Definition see formula (22)) with the current actual health status of damaged cable of equivalence
d c k Between relation determine by aforementioned two mechanics equivalent conditions.Δ
l k With
d c k Between physical relationship can adopt accomplished in many ways, for example can be directly determine (referring to formula (24)) according to aforementioned equivalent condition, also can adopt based on the Ernst equivalent elastic modulus to replace in the formula (24)
ERevise the back and determine (referring to formula (25)), also can adopt and determine based on other methods such as trial and error procedure of finite element method.
(25)
In formula (24) and the formula (25)
E k Be the elastic modulus of this support cable,
A k Be the cross-sectional area of this support cable,
F k Be the current cable power of this support cable,
d c k Be the current actual health status of this support cable,
ω k Be the weight of the unit length of this support cable,
l Kx It is the horizontal range of two supporting end points of this support cable.Item in the formula (25) in [] is the Ernst equivalent elastic modulus of this support cable, can just can determine the current relax level vector of support cable Δ by formula (24) or formula (25)
lFormula (25) is the correction to formula (24).
Second portion of the present invention: the software and hardware part of health monitoring systems.Hardware components comprises monitoring system (monitoring the horizontal range of monitored amount, the angular displacement of monitoring Cable Structure bearing, monitoring Suo Li, monitoring support cable two supporting end points), signal picker and computing machine etc.Requirement is monitored each monitored amount in real time or quasi real time, monitors the Suo Li of each support cable, is monitored the horizontal range that each support cable two supports end points.Software should the following function of tool: software section should be finished the process that first of the present invention sets, promptly finish needed among the present invention, can be with functions such as computer implemented monitoring, record, control, storage, calculating, notice, warnings.
The inventive method specifically comprises:
A. for sake of convenience, it is evaluation object that the present invention unitedly calls evaluated support cable and bearing angular displacement component, establishes the quantity of evaluated support cable and the quantity sum of bearing angular displacement component to be
N, promptly the quantity of evaluation object is
NDetermine the coding rule of evaluation object, with evaluation object numberings all in the Cable Structure, this numbering will be used to generate the vector sum matrix in subsequent step by this rule; The present invention's variable
iRepresent this numbering,
i=1,2,3 ...,
N
B. determine the monitored point of appointment, monitored point promptly characterizes all specified points of structural strain information, and gives all specified point numberings; Determine monitored should the changing direction of monitored point, and give the monitored strain numbering of all appointments; " monitored strain numbering " will be used to generate the vector sum matrix in subsequent step; " the whole monitored strain data of structure " is made up of above-mentioned all monitored strains; The present invention abbreviates " monitored amount " as with " the monitored strain data of structure "; The quantity of monitored point must not be less than the quantity of rope; The quantity sum of all monitored amounts must not less than
N
C. Non-Destructive Testing data of utilizing rope etc. can be expressed the data of the health status of rope and set up the initial health vector
d o If when not having the data of the Non-Destructive Testing data of rope and other health status that can express rope, vector
d o Each element numerical value get 0.
D. setting up the initial health 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 the initial health vector
d o Initial value vector with monitored amount
C o The time, directly measure the initial Suo Li that calculates all support cables, form initial rope force vector
F o Simultaneously, obtain the initial drift of all support cables, form initial drift vector according to structural design data, completion data
l o Simultaneously, obtain the initial geometric data of Cable Structure according to structural design data, completion data or actual measurement; Simultaneously, survey or obtain elastic modulus, density, the initial cross sectional area of all ropes according to structural design, completion information;
F. according to the measured data of design drawing, as-constructed drawing and the Cable Structure of Cable Structure, the Non-Destructive Testing data of rope and the Mechanics Calculation benchmark model A that initial Cable Structure support coordinate data are set up Cable Structure
o
G. at Mechanics Calculation benchmark model A
oThe basis on carry out the several times Mechanics Calculation, by calculate obtaining the monitored amount unit change of Cable Structure matrix
Δ C
H. actual measurement obtains the current cable power of all support cables of Cable Structure, forms the current cable force vector
FSimultaneously, actual measurement obtain Cable Structure all specify the current measured value of monitored amount, form " the current numerical value vector of monitored amount
C"; Actual measurement calculates the volume coordinate of two supporting end points of all support cables, and the volume coordinate of two the supporting end points difference of component in the horizontal direction is exactly two supporting end points horizontal ranges;
I. define the current health status vector of evaluation object to be asked
d c With current actual health status vector
dVector
d o ,
d c With
dElement number equal the quantity of evaluation object,
d o ,
d c With
dElement and evaluation object between be one-to-one relationship,
d o ,
d c With
dElement numerical value represent the degree of injury of corresponding evaluation object or angular displacement or with the degree of injury of relax level mechanics equivalence;
J. according to " the current numerical value vector of monitored amount
C" " the initial value vector of monitored amount together
C o ", " the monitored amount unit change of Cable Structure matrix
Δ C" and " the current health status vector of evaluation object
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 the current health status vector of evaluation object
d c
K. the current actual health status vector that utilizes formula 2 to express
dElement
d j With the initial health vector
d o Element
d Oj With the current health status vector of evaluation object
d c Element
d Cj Between relation, calculate current actual health status vector
dAll elements.
In the formula 2
i=1,2,3 ..., N;
Because current actual health status vector
dElement numerical value represent the current actual health status of corresponding evaluation object, if this evaluation object is a rope in the cable system, its current actual damage of this element representation so, if this evaluation object is an angular displacement component of a bearing, its current angular displacement numerical value of this element representation so; Current actual health status vector
dElement numerical value be 0 o'clock, it is 0 that the corresponding support cable not damaged of expression does not have lax or corresponding bearing angular displacement component, is not 0 element corresponding to problematic support cable or the bearing of angular displacement is arranged; Determine problematic support cable thus, determined the bearing angular displacement;
L. identify damaged cable by lossless detection method from the problematic support cable that k identified the step, remaining is exactly slack line;
M. from current actual health status vector
dThe middle element that takes out the support cable correspondence is formed the current actual health status vector of support cable
d c , the current actual health status vector of support cable
d c Have
QIndividual element, expression
QThe current actual damage value of root support cable,
d c The coding rule of element and vector
F o Coding rule identical, promptly
d c With
F o The information of the element representation same support rope of identical numbering;
N. utilize the current actual health status vector of support cable that obtains in the m step
d c Obtain the current actual damage degree of slack line, utilize the current cable force vector that obtains in the h step
F, utilize two volume coordinates that support end points in all support cables of h step acquisition, utilize the initial drift vector that obtains in the e step
l o Utilization is in elastic modulus, density, the initial cross sectional area data of all ropes of e step acquisition, by with slack line with damaged cable carry out the mechanics equivalence calculate slack line, with the relax level of current actual damage degree equivalence, the mechanical condition of equivalence is: one, the mechanics parameters of lax initial drift, geometrical property parameter, density and the material during with not damaged of the nothing of the rope of two equivalences is identical; Two, after the lax or damage, the Suo Li of the slack line of two equivalences and damage rope be out of shape after length overall identical; When satisfying above-mentioned two equivalent conditions, the such mechanics function of two support cables in structure is exactly identical, if after promptly replacing damaged cable with the slack line of equivalence, Cable Structure any variation can not take place, vice versa; Try to achieve the relax level that those are judged as slack line according to aforementioned mechanics equivalent condition, relax level is exactly the change amount of support cable drift, has just determined the long adjustment amount of rope of the support cable that those need adjust Suo Li; So just realized the lax identification of support cable; Institute's demand power is by the current cable force vector during calculating
FCorresponding element provides;
In step g, at Mechanics Calculation benchmark model A
oThe basis on carry out the several times Mechanics Calculation, by calculate obtaining the monitored amount unit change of Cable Structure matrix
Δ CConcrete grammar be:
G1. at the Mechanics Calculation benchmark model A of Cable Structure
oThe basis on carry out the several times Mechanics Calculation, equal on the calculation times numerical value
NCalculate hypothesis each time and have only an evaluation object to increase on the basis of former health status unit damage or unit angular displacement are arranged again, the present invention is collectively referred to as unit damage and the unit angular displacement is a unit change for sake of convenience; Concrete, if this evaluation object is a support cable in the cable system, so just suppose that this support cable increases unit damage again on the basis of original health status, if this evaluation object is the angular displacement component of a direction of a bearing, just suppose that this bearing increases the angular displacement of generation unit again on this angular displacement direction basis in original health status, use
D Ui Write down this unit damage or unit angular displacement, wherein
iThe numbering of the evaluation object of unit damage or unit angular displacement takes place in expression; The evaluation object that occurs unit damage or unit angular displacement in calculating each time is different from the evaluation object that occurs unit damage or unit angular displacement in other time calculating, calculate the current calculated value that all utilizes mechanics method to calculate all monitored amounts of Cable Structure each time, the current calculated value of the monitored amount of all that calculate is formed a monitored amount calculation current vector each time;
G2. the monitored amount calculation current vector that calculates is each time calculated unit damage or the unit angular displacement numerical value of being supposed divided by this time after deducting monitored amount initial vector again, obtains a monitored quantitative change vector, has
NIndividual evaluation object just has
NIndividual monitored quantitative change vector;
G3. by this
NIndividual monitored quantitative change vector is formed successively to be had
NThe monitored amount unit change of the Cable Structure matrix of row
Δ CThe monitored amount unit change of Cable Structure matrix
Δ CEach row corresponding to a monitored quantitative change vector.
Beneficial effect:System and method disclosed by the invention occurs under the situation of angular displacement at the Cable Structure bearing, having under the synchronously impaired or lax condition of more rope monitoring and evaluation very exactly go out the health status (position and relax level or the degree of injury that comprise all bearing angular displacements, all slack lines and damaged cable) of Cable Structure.System and method disclosed by the invention is very useful to effective health monitoring of Cable Structure.
Embodiment
The invention discloses the system and method for a kind of bearing angular displacement that can monitor Cable Structure rationally and effectively, identification damaged cable slack line.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.
Angular displacement occurs at the Cable Structure bearing, damaged cable occurs, under the situation of slack line, the present invention adopts a kind of algorithm, this algorithm is used to monitor the health status (comprising the angular displacement of identification bearing, damaged cable, slack line) of Cable Structure.During concrete enforcement, the following step is a kind of in the various steps that can take.
The first step: for sake of convenience, it is evaluation object that the present invention unitedly calls evaluated support cable and bearing angular displacement component, establishes the quantity of evaluated support cable and the quantity sum of bearing angular displacement component to be
N, promptly the quantity of evaluation object is
NDetermine the coding rule of evaluation object, with evaluation object numberings all in the Cable Structure, this numbering will be used to generate the vector sum matrix in subsequent step by this rule; The present invention's variable
iRepresent this numbering,
i=1,2,3 ...,
N
Determine that (promptly all characterize the specified point of structural strain information to measured point, are provided with
KIndividual specified point), give all specified point numberings; Determine that the measured strain of each specified point (establishes and measure each specified point
LThe strain of individual assigned direction does not require that each specified point has the strain of the designated direction of same number, is here to establish and measure each specified point in order to narrate convenient
LThe strain of individual assigned direction), and to all measured strains number; Above-mentioned numbering will be used to generate the vector sum matrix equally in subsequent step.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, this specified point can also be a near point the structural bearings, 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.In the strain that each specified point can only be measured a direction, the strain that also can measure a plurality of directions." the whole monitored strain data of structure " is by on top definite structure
KIndividual specified point, cross each specified point
LThe strain of individual assigned direction is described, and the variation of structural strain is exactly the variation of the strain of all assigned directions all specified points, all appointment straight lines.Each total
M(M=K * L)Individual strain measurement value or calculated value characterize the strain information of structure.
KWith
MMust not be less than the quantity of evaluation object
NFor simplicity, in the present invention " the monitored strain data of structure " abbreviated as " monitored amount ".
Second step: the data of utilizing the Non-Destructive Testing data etc. of rope can express the health status of rope are set up the initial health vector
d o If when not having the data of the Non-Destructive Testing data of rope and other health status that can express rope, perhaps can think when the structure original state is not damaged, no relaxed state vector
d o Each element numerical value get 0.
The 3rd step: setting up the initial health vector
d o The time, directly measurement calculates the initial value of all monitored amounts of Cable Structure, forms " the initial value vector of monitored amount
C o "; Simultaneously, directly measure the initial Suo Li of all support cables that calculate Cable Structure, form " initial rope force vector
F o "; Simultaneously, obtain the initial drift of all ropes, form " initial drift vector according to structural design data, completion data
l o "; Simultaneously, survey or obtain elastic modulus, density, the initial cross sectional area of all ropes according to structural design, completion information.
The 4th step: setting up the initial health vector
d o The time, can adopt ripe measuring method to carry out cable force measurement, strain measurement, measurement of angle and volume coordinate and measure.Calculate Cable Structure original geometric form data (is exactly its initial bridge type data for cable-stayed bridge) after directly measuring or measuring, the original geometric form data of Cable Structure can be the spatial datas that the spatial data of the end points of all ropes adds a series of point on the structure, and purpose is to determine according to these coordinate datas the geometric properties of Cable Structure.For cable-stayed bridge, the original geometric form data can be the spatial datas that the spatial data of the end points of all ropes adds some points on the bridge two ends, so-called bridge type data that Here it is.The measured data of the Cable Structure in Cable Structure completion, this measured data comprises measured datas such as the elastic modulus, density, initial cross sectional area of Cable Structure shape data, rope force data, draw-bar pull data, Cable Structure support coordinate data, Cable Structure bearing angular data, Cable Structure modal data, all ropes, the Non-Destructive Testing data of rope etc. can be expressed the data of the health status of rope, according to design drawing and as-constructed drawing, utilize mechanics method to set up the initial mechanical calculating benchmark model A of Cable Structure
oIf there is not the measured data of the structure in the Cable Structure completion, so just before setting up health monitoring systems, this Cable Structure is surveyed, obtain the measured data of Cable Structure equally, according to design drawing, the as-constructed drawing of these data and Cable Structure, utilize mechanics method to set up the initial mechanical calculating benchmark model A of Cable Structure equally
oNo matter which kind of method to obtain A with
o, based on A
oThe Cable Structure computational data that calculates must be very near its measured data, and difference therebetween must not be greater than 5%; A
oBe constant; A
oThe health status of corresponding Cable Structure by
d o Describe;
The 5th step: the hardware components of pass line structural healthy monitoring system.Hardware components comprises at least: horizontal range monitoring system, signal (data) collector, the computing machine and the panalarm of communicating by letter of monitored amount monitoring system (for example containing strain transducer, signal conditioner etc.), cable force monitoring system (for example containing acceleration transducer, signal conditioner etc.), each support cable two supporting end points.The horizontal range of the Suo Li of each monitored amount, each support cable and each root support cable two supporting end points all must arrive by monitored system monitoring, and monitoring system is transferred to signal (data) collector with the signal that monitors; Signal is delivered to computing machine through signal picker; Computing machine then is responsible for the health monitoring software of the cable system of operation Cable Structure, comprises the signal that the transmission of tracer signal collector comes; When monitoring the Cable Structure health status when changing, the computer control communication panalarm to monitor staff, owner and (or) personnel of appointment report to the police.
The 6th step: establishment and the health monitoring systems software of installation and operation Cable Structure on supervisory control comuter.This software will be finished functions such as monitoring that the present invention's " based on method of the identification damaged cable slack line bearing angular displacement of strain monitoring " required by task wants, record, control, storage, calculating, notice, warning (being all work that can finish with computing machine in this specific implementation method), and can regularly or by the personnel operation health monitoring systems generate Cable Structure health condition form, can also be according to the condition of setting (for example damage reach a certain value), notice or prompting monitor staff notify specific technician to finish necessary evaluation work automatically.
The 7th step: at Mechanics Calculation benchmark model A
oThe basis on carry out the several times Mechanics Calculation, by calculate obtaining the monitored amount unit change of Cable Structure matrix
Δ CConcrete grammar is: at the Mechanics Calculation benchmark model A of Cable Structure
oThe basis on carry out the several times Mechanics Calculation, equal on the calculation times numerical value
NCalculating hypothesis each time has only an evaluation object (to use Cable Structure initial health vector in former health status
d o Expression) increases again on the basis unit damage or unit angular displacement are arranged, the present invention is collectively referred to as unit damage and the unit angular displacement is a unit change for sake of convenience, concrete, if this evaluation object is a support cable in the cable system, so just suppose that this support cable increases unit damage again on the basis of original health status, if this evaluation object is the angular displacement component of a direction of a bearing, just suppose that this bearing increases the angular displacement of generation unit again on this angular displacement direction basis in original health status, use
D Ui Write down this unit damage or unit angular displacement, wherein
iThe numbering of the evaluation object of unit damage or unit angular displacement takes place in expression; The evaluation object that occurs unit damage or unit angular displacement in calculating each time is different from the evaluation object that occurs unit damage or unit angular displacement in other time calculating, calculate the current calculated value all utilize mechanics method to calculate all monitored amounts of Cable Structure each time, the current calculated value of the monitored amount of all that calculate is formed a monitored amount calculation current vector (when hypothesis the each time
iWhen individual monitored amount has unit damage or unit angular displacement, available monitored amount calculation current vector
C t i Expression); The monitored amount calculation current vector that calculates is each time calculated unit damage or the unit angular displacement numerical value of being supposed divided by this time after deducting monitored amount initial vector again, obtains a monitored quantitative change vector, has
NIndividual evaluation object just has
NIndividual monitored quantitative change vector; By this
NIndividual monitored quantitative change vector is formed successively to be had
NThe monitored amount unit change of the Cable Structure matrix of row
Δ CThe monitored amount unit change of Cable Structure matrix
Δ CEach row corresponding to a monitored quantitative change vector.Reach in this step when giving each vectorial element numbering thereafter, should use same coding rule with other vector among the present invention, can guarantee any one element in each vector in this step like this, with element in other vector, that numbering is identical, expressed the relevant information of same monitored amount or same evaluation object.
The 8th 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 amount unit change of Cable Structure matrix
Δ C"), when the 7th step calculated each time, promptly calculate and suppose to have only an evaluation object in former health status each time
d o The basis on increase again unit damage or unit angular displacement arranged, calculate a monitored amount calculation current vector (when hypothesis the
iWhen individual monitored amount has unit damage or unit angular displacement, with monitored amount calculation current vector
C t i Expression) time, calculates each time and form " health status a vector
d t ", the health status vector
d t Element number equal the quantity of evaluation object, health status vector
d t All elements in have only the numerical value of an element to get to calculate each time in hypothesis increase the unit change value of the evaluation object of unit change,
d t The numerical value of other element get 0;
C t i , C o ,
d t Coding rule identical, also with
Δ CThe coding rule of row identical; Will
C t i , C o ,
Δ C,
d t Bringing formula (13) into (notes, in the formula (13)
CWith
C t i Bring into,
d c With
d t Bring into), obtain a linear relationship error vector
e, calculate a linear relationship error vector each time
eHave
NIndividual evaluation object just has
NInferior calculating just has
NIndividual linear relationship error vector
e, with this
NIndividual linear relationship error vector
eObtain a vector after the addition, with each element of this vector divided by
NAfter the new vector that obtains be exactly final linear relationship error vector
eVector
gEqual final error vector
eWith vector
gBe kept on the hard disc of computer of operation health monitoring systems software, use for health monitoring systems software.
The 9th step: will " initial rope force vector
F o ", " the initial value vector of monitored amount
C o ", " initial drift vector
l o ", " the monitored amount unit change of Cable Structure matrix
Δ C" and the parameters such as unit weight of the elastic modulus of all ropes, initial cross sectional area, rope be kept on the hard disc of computer of operation health monitoring systems software in the mode of data file.
The tenth step: actual measurement obtains the current cable power of all support cables of Cable Structure, forms the current cable force vector
FSimultaneously, actual measurement obtain Cable Structure all specify the current measured value of monitored amount, form " the current numerical value vector of monitored amount
C".Actual measurement calculates the volume coordinate of two supporting end points of all support cables, and the volume coordinate of two the supporting end points difference of component in the horizontal direction is exactly two supporting end points horizontal ranges.
The 11 step: according to " current (calculating or actual measurement) numerical value vector of monitored amount
C" " the initial value vector of monitored amount together
C o ", " the monitored amount unit change of Cable Structure matrix
Δ C" and " the current health status vector of evaluation object
d c " between the linear approximate relationship (seeing formula (9)) that exists, calculate the current health status vector of cable system evaluation object 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 the current health status vector of evaluation object with the goal programming method only
d c Process, the specific implementation process of other algorithm can realize in a similar fashion according to the requirement of its specific algorithm.
According to the goal programming method, formula (9) can transform the multi-objective optimization question shown in an accepted way of doing sth (26) and the formula (27), in the formula (26)
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 Be not less than 0 corresponding to each element of support cable, be not more than 1; Each element corresponding to the bearing angular displacement is selected according to the bearing restriction range).The meaning of formula (26) is to seek the real number of an absolute value minimum
γ, make formula (27) be met.In the formula (27)
G (d c )By formula (28) definition, weighing vector in the formula (27)
WWith
γProduct representation formula (27) in
G (d c )With vector
gBetween the deviation that allows,
gDefinition referring to formula (15), its value 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
Try to achieve the current health status vector of evaluation object
d c After
,The current actual health status vector that can obtain according to formula (17)
dEach element, current actual health status vector
dHave reasonable error but can discern problematic rope (may be impaired also may be lax) more exactly, can determine separating of all bearing angular displacements more exactly.If the current actual health status vector that solves
dEach element corresponding to the health status of an evaluation object, if this evaluation object is the rope (or pull bar) in the cable system, its current damage of the numeric representation of this element or lax so, if this evaluation object is an angular displacement component of a bearing, its current angular displacement numerical value of the numeric representation of this element so.
The 12 step: identification damaged cable and slack line.Because current actual health status vector
dElement numerical value represent the current actual health status of corresponding evaluation object, if
dAn element
d i Corresponding to the rope (or pull bar) in the cable system, so
d i Represent its current possible actual damage,
d i Being 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%, but this root rope damage taken place actually or taken place laxly, need differentiate.The method of differentiating is varied; can be by removing the protective seam of support cable; support cable is carried out visual discriminating; perhaps carry out visual discriminating by optical imaging apparatus; also can be by lossless detection method to support cable impaired discriminating the whether, UT (Ultrasonic Testing) is exactly a kind of present widely used lossless detection method.Differentiate the back those do not find damage and
d i Numerical value is not that 0 support cable is exactly that lax rope has taken place, and 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).Damaged cable identification and slack line identification have so just been realized.
The 13 step: identification bearing angular displacement.Current actual health status vector
dThe element numerical value corresponding to the bearing angular displacement be exactly the bearing angular displacement.
The 14 step: the computing machine in the health monitoring systems regularly generates cable system health condition form automatically or by the personnel operation health monitoring systems.
The 15 step: under specified requirements, the automatic operation communication panalarm of the computing machine in the health monitoring systems to monitor staff, owner and (or) personnel of appointment report to the police.
Claims (2)
1. method based on the identification damaged cable slack line bearing angular displacement of strain monitoring is characterized in that described method comprises:
A. for sake of convenience, unitedly calling evaluated support cable and bearing angular displacement component is evaluation object, establishes the quantity of evaluated support cable and the quantity sum of bearing angular displacement component to be
N, promptly the quantity of evaluation object is
NDetermine the coding rule of evaluation object, with evaluation object numberings all in the Cable Structure, this numbering will be used to generate the vector sum matrix in subsequent step by this rule; Use variable
iRepresent this numbering,
i=1,2,3 ...,
N
B. determine the monitored point of appointment, monitored point promptly characterizes all specified points of structural strain information, and gives all specified point numberings; Determine monitored should the changing direction of monitored point, and give the monitored strain numbering of all appointments; " monitored strain numbering " will be used to generate the vector sum matrix in subsequent step; " the whole monitored strain data of structure " is made up of above-mentioned all monitored strains; " the monitored strain data of structure " abbreviated as " monitored amount "; The quantity of monitored point must not be less than the quantity of rope; The quantity sum of all monitored amounts must not less than
N
C. Non-Destructive Testing data of utilizing rope etc. can be expressed the data of the health status of rope and set up the initial health vector
d o If when not having the data of the Non-Destructive Testing data of rope and other health status that can express rope, vector
d o Each element numerical value get 0;
D. setting up the initial health 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 the initial health vector
d o Initial value vector with monitored amount
C o The time, directly measure the initial Suo Li that calculates all support cables, form initial rope force vector
F o Simultaneously, obtain the initial drift of all support cables, form initial drift vector according to structural design data, completion data
l o Simultaneously, obtain the initial geometric data of Cable Structure according to structural design data, completion data or actual measurement; Simultaneously, survey or obtain elastic modulus, density, the initial cross sectional area of all ropes according to structural design, completion information;
F. according to the measured data of design drawing, as-constructed drawing and the Cable Structure of Cable Structure, the Non-Destructive Testing data of rope and the Mechanics Calculation benchmark model A that initial Cable Structure support coordinate data are set up Cable Structure
o
G. at Mechanics Calculation benchmark model A
oThe basis on carry out the several times Mechanics Calculation, by calculate obtaining the monitored amount unit change of Cable Structure matrix
Δ C
H. actual measurement obtains the current cable power of all support cables of Cable Structure, forms the current cable force vector
FSimultaneously, actual measurement obtain Cable Structure all specify the current measured value of monitored amount, form " the current numerical value vector of monitored amount
C"; Actual measurement calculates the volume coordinate of two supporting end points of all support cables, and the volume coordinate of two the supporting end points difference of component in the horizontal direction is exactly two supporting end points horizontal ranges;
I. define the current health status vector of evaluation object to be asked
d c With current actual health status vector
dVector
d o ,
d c With
dElement number equal the quantity of evaluation object,
d o ,
d c With
dElement and evaluation object between be one-to-one relationship,
d o ,
d c With
dElement numerical value represent the degree of injury of corresponding evaluation object or angular displacement or with the degree of injury of relax level mechanics equivalence;
J. according to " the current numerical value vector of monitored amount
C" " the initial value vector of monitored amount together
C o ", " the monitored amount unit change of Cable Structure matrix
Δ C" and " the current health status vector of evaluation object
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 the current health status vector of evaluation object
d c
K. the current actual health status vector that utilizes formula 2 to express
dElement
d j With the initial health vector
d o Element
d Oj With the current health status vector of evaluation object
d c Element
d Cj Between relation, calculate current actual health status vector
dAll elements.
In the formula 2
i=1,2,3 ..., N;
Because current actual health status vector
dElement numerical value represent the current actual health status of corresponding evaluation object, if this evaluation object is a rope in the cable system, its current actual damage of this element representation so, if this evaluation object is an angular displacement component of a bearing, its current angular displacement numerical value of this element representation so; Current actual health status vector
dElement numerical value be 0 o'clock, it is 0 that the corresponding support cable not damaged of expression does not have lax or corresponding bearing angular displacement component, is not 0 element corresponding to problematic support cable or the bearing of angular displacement is arranged; Determine problematic support cable thus, determined the bearing angular displacement;
L. identify damaged cable by lossless detection method from the problematic support cable that k identified the step, remaining is exactly slack line;
M. from current actual health status vector
dThe middle element that takes out the support cable correspondence is formed the current actual health status vector of support cable
d c , the current actual health status vector of support cable
d c Have
QIndividual element, expression
QThe current actual damage value of root support cable,
d c The coding rule of element and vector
F o Coding rule identical, promptly
d c With
F o The information of the element representation same support rope of identical numbering;
N. utilize the current actual health status vector of support cable that obtains in the m step
d c Obtain the current actual damage degree of slack line, utilize the current cable force vector that obtains in the h step
F, utilize two volume coordinates that support end points in all support cables of h step acquisition, utilize the initial drift vector that obtains in the e step
l o Utilization is in elastic modulus, density, the initial cross sectional area data of all ropes of e step acquisition, by with slack line with damaged cable carry out the mechanics equivalence calculate slack line, with the relax level of current actual damage degree equivalence, the mechanical condition of equivalence is: one, the mechanics parameters of lax initial drift, geometrical property parameter, density and the material during with not damaged of the nothing of the rope of two equivalences is identical; Two, after the lax or damage, the Suo Li of the slack line of two equivalences and damage rope be out of shape after length overall identical; When satisfying above-mentioned two equivalent conditions, the such mechanics function of two support cables in structure is exactly identical, if after promptly replacing damaged cable with the slack line of equivalence, Cable Structure any variation can not take place, vice versa; Try to achieve the relax level that those are judged as slack line according to aforementioned mechanics equivalent condition, relax level is exactly the change amount of support cable drift, has just determined the long adjustment amount of rope of the support cable that those need adjust Suo Li; So just realized the lax identification of support cable; Institute's demand power is by the current cable force vector during calculating
FCorresponding element provides.
2. the method for the identification damaged cable slack line bearing angular displacement based on strain monitoring according to claim 1 is characterized in that in step g, at Mechanics Calculation benchmark model A
oThe basis on carry out the several times Mechanics Calculation, by calculate obtaining the monitored amount unit change of Cable Structure matrix
Δ CConcrete grammar be:
G1. at the Mechanics Calculation benchmark model A of Cable Structure
oThe basis on carry out the several times Mechanics Calculation, equal on the calculation times numerical value
NCalculating hypothesis each time has only an evaluation object to increase on the basis of former health status again unit damage or unit angular displacement is arranged, and being collectively referred to as unit damage and unit angular displacement for sake of convenience is unit change; Concrete, if this evaluation object is a support cable in the cable system, so just suppose that this support cable increases unit damage again on the basis of original health status, if this evaluation object is the angular displacement component of a direction of a bearing, just suppose that this bearing increases the angular displacement of generation unit again on this angular displacement direction basis in original health status, use
D Ui Write down this unit damage or unit angular displacement, wherein
iThe numbering of the evaluation object of unit damage or unit angular displacement takes place in expression; The evaluation object that occurs unit damage or unit angular displacement in calculating each time is different from the evaluation object that occurs unit damage or unit angular displacement in other time calculating, calculate the current calculated value that all utilizes mechanics method to calculate all monitored amounts of Cable Structure each time, the current calculated value of the monitored amount of all that calculate is formed a monitored amount calculation current vector each time;
G2. the monitored amount calculation current vector that calculates is each time calculated unit damage or the unit angular displacement numerical value of being supposed divided by this time after deducting monitored amount initial vector again, obtains a monitored quantitative change vector, has
NIndividual evaluation object just has
NIndividual monitored quantitative change vector;
G3. by this
NIndividual monitored quantitative change vector is formed successively to be had
NThe monitored amount unit change of the Cable Structure matrix of row
Δ CThe monitored amount unit change of Cable Structure matrix
Δ CEach row corresponding to a monitored quantitative change vector.
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CN102706625A (en) * | 2012-05-30 | 2012-10-03 | 东南大学 | Damaged cable and support angular displacement identification method on basis of strain monitoring during temperature variation |
CN102735476A (en) * | 2012-05-30 | 2012-10-17 | 东南大学 | Problematic cable and support angular displacement identifying method based on strain monitoring at time of temperature change |
CN102706625B (en) * | 2012-05-30 | 2015-07-29 | 东南大学 | The damaged cable of temperature variation strain monitoring and support angular displacement identification method |
CN102735476B (en) * | 2012-05-30 | 2015-09-30 | 东南大学 | The problem cable of temperature variation strain monitoring and support angular displacement identification method |
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