CN102323083A - Strain monitoring based method for recognizing damaged cable, loose cable and supporting seat generalized displacement - Google Patents
Strain monitoring based method for recognizing damaged cable, loose cable and supporting seat generalized displacement Download PDFInfo
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- CN102323083A CN102323083A CN201110143060A CN201110143060A CN102323083A CN 102323083 A CN102323083 A CN 102323083A CN 201110143060 A CN201110143060 A CN 201110143060A CN 201110143060 A CN201110143060 A CN 201110143060A CN 102323083 A CN102323083 A CN 102323083A
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Abstract
The invention discloses a strain monitoring based method for recognizing a damaged cable, a loose cable and supporting seat generalized displacement. A mechanical calculation reference model of a cable structure is established according to a design drawing, an as-built drawing, measured data and the like of the cable structure based on strain monitoring, multiple times of mechanical calculation is performed on the basis of the mechanical calculation reference model, and a monitored quantity unit variance matrix of the cable structure is obtained by calculating. Variations of the health state of the cable structure, i.e., the supporting seat generalized displacement, the damaged cable and the loose cable can be recognized according to approximate linear relations between a current numeric vector of a monitored quantity and an initial vector of the monitored quantity, the monitored quantity variance matrix of the cable structure and a current health state vector of an evaluated object to be resolved.
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; Like 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, reaches 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 rope, also comprises the rod member that only bears tensile load) can be impaired, the bearing of Cable Structure generalized displacement also possibly occur (for example the bearing generalized displacement refers to that bearing is along the angular displacement around X, Y, Z axle of the displacement of the lines of X, Y, Z axle and bearing simultaneously; Corresponding to the bearing generalized displacement; The bearing generalized coordinate refers to that bearing is about the coordinate of X, Y, Z axle and the bearing angular coordinate about X, Y, Z axle); These safety that change to Cable Structure are a kind of threats, the present invention is based on structural health monitoring technology, discern the damaged cable in the cable system of bearing generalized displacement, identification Cable Structure, the supporting rope that identification needs adjustment Suo Li based on strain monitoring; And provide the long adjustment amount of concrete rope, belong to the engineering structure health monitoring field.
Background technology
The bearing generalized 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 generalized displacement, damaged cable and slack line (promptly need adjust the supporting rope of Suo Li) and be very important.
The variation of the measurable parameter of structure appears can causing behind bearing generalized 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 generalized 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 generalized displacement, damaged cable and slack line rationally and effectively.
Reason according to the Suo Li that supports rope changes can change the three kinds of situation that be divided into the Suo Li of supporting rope: the one, and the supporting rope has received damage, for example supports rope and localized cracks and corrosion or the like have occurred; The 2nd, supporting rope and not damaged; But variation has also taken place in Suo Li; The one of the main reasons that this variation occurs is that variation has taken place the Suo Changdu (be called drift, the present invention specially refers to support the drift of that section rope between rope two supporting end points) under the supporting rope free state (this moment, Suo Zhangli claimed that also Suo Li is 0); The 3rd, supporting rope and not damaged, but the Cable Structure bearing has had generalized displacement, also can cause the variation of structural internal force, also will cause the variation of Suo Li certainly.For ease, the present invention is referred to as slack line with the supporting rope that drift changes.
Technical scheme:The present invention is made up of the two large divisions.Be respectively: one, set up the method for required knowledge base of the health monitoring systems be used to discern bearing generalized displacement, damaged cable and slack line and parameter, based on knowledge base (containing parameter), based on the method for bearing generalized 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 generalized displacement component does
NFor the purpose of narrating conveniently, the present invention is unified to claim that rope and the bearing generalized displacement assessed are " by evaluation object ", gives by 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 by evaluation object.
First of the present invention: set up required knowledge base of the health monitoring systems be used to discern the generalized displacement of Cable Structure bearing, damaged cable and slack line and parameter method, based on knowledge base (containing parameter), based on the generalized displacement of actual measurement Cable Structure bearing, based on the method for bearing generalized 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 Mechanics Calculation 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 " (shown in (1)), use
d o The expression Cable Structure is (with the initial Mechanics Calculation 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
iIndividual by the initial health of evaluation object, if should be the rope (or pull bar) in the cable system, so by evaluation object
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, representes 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 are explained in the back; If should be a generalized displacement component of a bearing by evaluation object, so
d Oi Represent its initial generalized 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 the measured data of the bearing generalized displacement of the Cable Structure of health monitoring systems in starting working confirms that with design drawing, as-constructed drawing the Cable Structure initial health is vectorial
d o Each the element numerical value corresponding to the bearing generalized displacement; The data of utilizing the Non-Destructive Testing data etc. of rope can express the health status of rope are confirmed Cable Structure initial health vector
d o Each the element numerical value corresponding to rope; If when not having the data of Non-Destructive Testing data and other health status that can express rope of rope, can think that perhaps the structure original state is a not damaged when not having relaxed state, vector
d o Each 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 following:
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 bearing generalized coordinate data, Cable Structure modal data; To cable-stayed bridge, suspension bridge and bridge type data of Yan Shiqiao, rope force data, the modal data of bridge, the Non-Destructive Testing data of rope etc. can be expressed the data of the health status of rope) 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 measured datas such as Cable Structure shape data, rope force data, draw-bar pull data, Cable Structure bearing generalized coordinate data, Cable Structure modal data; To cable-stayed bridge, suspension bridge and bridge type data of Yan Shiqiao, rope force data, the modal data of bridge, the Non-Destructive Testing data of rope etc. can be expressed the data of the health status of rope); According to design drawing, the as-constructed drawing of these data and Cable Structure, utilize mechanics method (for example finite element method) to set up A
oNo matter which kind of method to obtain A with
o, based on A
oThe Cable Structure computational data that calculates (to cable-stayed bridge, suspension bridge and the modal data of the bridge type data of Yan Shiqiao, rope force data, bridge) must be very near its measured data, and error generally must not be greater than 5%.Can guarantee to utilize A like this
oStrain computational data, Suo Li computational data, Cable Structure shape computational data and displacement computational data, Cable Structure angle-data etc. under the analog case of calculating gained, the measured data when truly taking place near institute's analog case reliably.
" 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.
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).
Vectorial among the present invention with the current numerical value of monitored amount
CThe vector of forming by the currency of all monitored amounts in the Cable Structure (formula (3) is seen in definition).
(3)
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
NCalculate each time hypothesis have only one (vectorial by evaluation object with the Cable Structure initial health in former health status
d o Expression) increasing on the basis has unit damage or unit generalized displacement (the present invention is called health status has unit change again; Or abbreviation has unit change); Concrete; If should be a supporting rope in the cable system by evaluation object; Hypothesis this supporting Suo Zengjia unit damage (for example getting 5%, 10%, 20% or 30% equivalent damage is unit damage) so, if should be the generalized displacement component of a direction of a bearing by evaluation object, (for example getting 1 millimeter, 2 millimeters, 3 millimeters etc. be the unit line displacement just to suppose to increase the generalized displacement of generation unit in this generalized displacement direction by this bearing; Get 100,000/radian, 2/100000ths radians, 3/100000ths radians etc. and be the unit angular displacement), use
D Ui Write down this unit damage or unit generalized displacement, wherein
iExpression hypothesis increase take place unit damage or unit generalized displacement by the numbering of evaluation object.With " unit damage or unit generalized displacement vector
D u " (shown in (4)) write down all unit damage or unit generalized displacement.Occur in calculating each time unit damage or unit generalized displacement be different from by evaluation object other time occur in calculating unit damage or unit generalized displacement by evaluation object; 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 each time formed a monitored amount calculation current vector (when hypothesis the
iWhen individual monitored amount has unit damage or unit generalized 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 generalized displacement numerical value of being supposed divided by this time again, the gained vector be exactly under this condition (with have unit damage or unit generalized displacement by the mark that is numbered of evaluation object) monitored quantitative changeization vector (when the
iIndividual when unit damage or unit generalized displacement being arranged by evaluation object, use
δ C i Represent monitored quantitative changeization vector; Formula (6) is seen in definition; Formula (6) deducts formula (2) gained for formula (5)), each element representation of monitored quantitative changeization vector is owing to suppose the change amount of that pairing monitored amount of this element that is caused by the unit change of evaluation object that unit damage or unit generalized displacement are arranged when calculating; Have
NIndividual just had by evaluation object
NIndividual monitored quantitative changeization 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 suc as formula shown in (7).
(4)
Unit damage or unit generalized displacement vector in the formula (4)
D u Element
D Ui (
i=1,2,3 ....,
N) expression the
iIndividual by the unit damage of evaluation object or unit generalized displacement numerical value, vector
D u In the numerical value of each element can be the same or different.
Element in the formula (5)
C Tj i (
i=1,2,3 ....,
N; j=1,2,3 ....,
M; M>=N) expression is because the
iIndividual when unit damage or unit generalized displacement being arranged by evaluation object, according to coding rule pairing
jThe current calculated amount of individual monitored amount.
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 by evaluation object have unit change (unit damage or unit generalized displacement) cause, according to coding rule pairing
jThe variation (algebraic value) of the current numerical value of calculating of individual monitored amount.Monitored quantitative changeization vector
δ C i Be actually matrix
Δ CIn one row,
Δ CAlso can use
δ C i Definition is in (8).
(8)
Vector in the formula (8)
δ C i (
i=1,2,3 ....,
N) expression is because the
iIndividual had unit change by evaluation object
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 (generalized displacement of identification bearing, damaged cable and slack line).Detailed process is following.
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 vectorial by the current health status 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 is " by 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.
In the formula (12)
d Ci (
i=1,2,3 ....,
N) be Cable Structure
iIndividual by the current health status of 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" come directly to find the solution and obtain " by 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 possibly obtain negative damage or negative lax, this obviously is irrational.Therefore obtain vector
d c Acceptable separating (promptly have reasonable error; But can confirm bearing generalized displacement, the position of confirming damaged cable and degree of injury thereof, the position of confirming 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 " by 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
iIndividual by the current actual health status of evaluation object, if should be the rope (or pull bar) in the cable system, so by evaluation object
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, representes to lose the load-bearing capacity of corresponding proportion in the time of between 0 and 100%; Confirm 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 confirmed slack line thus, and the computing method of concrete slack are explained below; If should be a generalized displacement component of a bearing by evaluation object, so
d i Represent its current generalized displacement numerical value.Vector
dCoding rule and the formula (1) of element 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 confirm the position and the relax level of slack line.
If it is total in the cable system
QRoot supporting rope, structure rope force data by
QThe Suo Li of root supporting rope describes.Available " initial rope force vector
F o " represent that all support the initial Suo Li (formula (18) is seen in definition) of ropes in the Cable Structure.Because the initial Suo Li that calculates gained based on the calculating benchmark model of Cable Structure approaches the measured data of initial Suo Li reliably, in the narration of back, will represent this calculated value and measured value with prosign.
In the formula (18)
F o (
k=1,2,3,
., Q) be in the Cable Structure
kThe initial Suo Li of root supporting rope, this element is according to the Suo Li of coding rule corresponding to appointment supporting rope.Vector
F o It is constant.Setting up the initial Mechanics Calculation benchmark model A of Cable Structure
oThe time used vector
F o
Use " current cable force vector among the present invention
F" the current cable power (formula (19) is seen in definition) of all supporting ropes in the Cable Structure that obtains of expression actual measurement.
In the formula (19)
F k (
k=1,2,3,
., Q) be in the Cable Structure
kThe current cable power of root supporting rope.
Among the present invention, under supporting rope original state (not damaged, do not have lax), and the supporting rope is when being in free state (free state refers to that Suo Li is 0, back with), and the length of supporting rope is called initial drift, with " initial drift vector
l o " represent that all support the initial drift (formula (20) is seen in definition) of ropes in the Cable Structure.
In the formula (20)
l Ok (
k=1,2,3,
., Q) be in the Cable Structure
kThe initial drift of root supporting rope.Vector
l o Be constant, after when beginning, confirming, just no longer change.
Among the present invention, with " current drift vector
l" represent that all support the current drift (formula (21) is seen in definition) of ropes in the Cable Structure.
In the formula (21)
l k (
k=1,2,3,
., Q) be in the Cable Structure
kThe current drift of root supporting rope.
Among the present invention, with " drift changes vectorial Δ
l" the change amount (formula (22) and formula (23) are seen in definition) of the drift of all supporting ropes in (or claiming supporting Suo Dangqian relax level vector) expression Cable Structure.
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 supporting rope, formula (23), Δ are seen in its definition
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 supporting rope, the long adjustment amount of rope of this rope when also being adjustment Suo Li.
Vector
F o ,
d c ,
F k ,
l o ,
l, Δ
lCoding rule identical.
Confirm after the slack line that through slack line is carried out the relax level identification that slack line is carried out in the mechanics equivalence with damaged cable, the mechanical condition of equivalence is in the present invention:
The mechanics parameters of initial drift, geometrical property parameter and material when one, the nothing of the rope of two equivalences relaxes with not damaged is identical;
Two, after the lax or damage, the Suo Li of the slack line of two equivalences and damage rope be out of shape after length overall identical.
When satisfying above-mentioned two equivalent conditions, the such mechanics function of two support cables in structure is exactly identical, if after promptly replacing slack line with the damaged cable of equivalence, Cable Structure any variation can not take place, vice versa.
Among the present invention, with being numbered
kThe supporting rope (its current relax level is used Δ
l k Definition is corresponding to vector
F o ,
d c ,
F k ,
l o ,
l, Δ
l kThe current actual health status of individual element) carrying out the impaired supporting rope of equivalence is used
d c k Expression (
d c k It is the actual health status vector of supporting Suo Dangqian
d c kIndividual element).Lax the
kThe current relax level Δ of individual supporting rope
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 confirm 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 confirm (referring to formula (24)) according to aforementioned equivalent condition, also can adopt based on the Ernst equivalent elastic modulus to replace in the formula (24)
ERevise the back and confirm (referring to formula (25)), also can adopt and confirm based on other methods such as trial and error procedure of finite element method.
In formula (24) and the formula (25)
E k Be the elastic modulus of this supporting rope,
A k Be the cross-sectional area of this supporting rope,
F k Be the current cable power of this supporting rope,
d c k Be the current actual health status of this supporting rope,
ω k Be the weight of the unit length of this supporting rope,
l Kx It is the horizontal range of two supporting end points of this supporting rope.Item in the formula (25) in [] is the Ernst equivalent elastic modulus of this supporting rope, can just can confirm to support Suo Dangqian relax level vector Δ by formula (24) or formula (25)
lFormula (25) is the correction to formula (24).
Second portion of the present invention: the software and hardware part of health monitoring systems.Hardware components comprises monitoring system (monitoring the horizontal range of monitored amount, the generalized displacement of monitoring Cable Structure bearing, monitoring Suo Li, monitoring supporting rope two supporting end points), signal picker and computing machine etc.Requirement is monitored each monitored amount in real time or quasi real time, monitors the Suo Li of each support cable, is monitored the horizontal range that each support cable two supports end points.Software should be used following function by tool: software section should be accomplished the process that first of the present invention sets, and promptly accomplishes functions such as needed among the present invention, as can to use computer realization monitoring, record, control, storage, calculating, notice, warning.
The inventive method specifically comprises:
A. for for the purpose of narration is convenient, the present invention is unified to claim that the supporting rope of being assessed is by evaluation object with bearing generalized displacement component, establishes the quantity of the supporting rope of being assessed and the quantity sum of bearing generalized displacement component and does
N, promptly done by the quantity of evaluation object
NConfirm that by the coding rule of evaluation object with all being numbered by evaluation object in the Cable Structure, this numbering will be used to generate the vector sum matrix in subsequent step by this rule; The present invention uses variable
iRepresent this numbering,
i=1,2,3 ...,
N
B. confirm the monitored point of appointment, monitored point promptly characterizes all specified points of structural strain information, and gives all specified point numberings; Confirm 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 Non-Destructive Testing data and other health status that can express rope of 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 supporting ropes, form initial rope force vector
F o Simultaneously, obtain the initial drift that all support ropes, form initial drift vector according to structural design data, completion data
l o Simultaneously, obtain the initial geometric data and the initial Cable Structure bearing generalized coordinate data of Cable Structure according to structural design data, completion data or actual measurement; Simultaneously, actual measurement or obtain elastic modulus, density, the initial cross sectional area of all ropes according to structural design, completion information; The bearing generalized coordinate comprises two kinds of line amount and angle amounts;
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 bearing generalized 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, through calculate obtaining the monitored amount unit change of Cable Structure matrix
Δ C
H. actual measurement obtains the current cable power of all supporting ropes of Cable Structure, forms the current cable force vector
FSimultaneously, actual measurement obtain Cable Structure all specify the current measured value of monitored amount, form " the current numerical value vector of monitored amount
C"; Actual measurement calculates the volume coordinate of two supporting end points of all supporting ropes, 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. definition is to be asked by the current health status vector of evaluation object
d c With current actual health status vector
dVector
d o ,
d c With
dElement number equal by the quantity of evaluation object,
d o ,
d c With
dElement and be one-to-one relationship between the evaluation object,
d o ,
d c With
dElement numerical value represent corresponding by the degree of injury of evaluation object or generalized displacement or with the degree of injury of relax level mechanics equivalence;
J. according to " the current numerical value vector of monitored amount
C" " initial value of monitored amount is vectorial together
C o ", " the monitored amount unit change of Cable Structure matrix
Δ C" and " by 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 by 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 vectorial by the current health status 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 corresponding by the current actual health status of evaluation object; If should be a rope in the cable system by evaluation object; Its current actual damage of this element representation so; If being somebody's turn to do by evaluation object be a generalized displacement component of a bearing, so its current generalized displacement numerical value of this element representation; Current actual health status vector
dElement numerical value be 0 o'clock, it is 0 that the corresponding supporting rope not damaged of expression does not have lax or corresponding bearing generalized displacement component, is not 0 element corresponding to problematic supporting rope or the bearing of generalized displacement is arranged; Confirm problematic supporting rope thus, confirmed the bearing generalized displacement;
L. from the problematic supporting rope that k identified the step, identify damaged cable through lossless detection method, remaining is exactly slack line;
M. from current actual health status vector
dThe middle corresponding element composition of supporting rope that takes out supports the actual health status vector of Suo Dangqian
d c , the actual health status vector of supporting Suo Dangqian
d c Have
QIndividual element, expression
QThe current actual damage value of root supporting rope,
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. be utilized in the actual health status vector of supporting Suo Dangqian that the m step obtains
d c Obtain the current actual damage degree of slack line, be utilized in the current cable force vector that the h step obtains
F, be utilized in the volume coordinates that h goes on foot two supporting end points of all supporting ropes that obtain, be utilized in the initial drift vector of e step acquisition
l o Be utilized in elastic modulus, density, the initial cross sectional area data of all ropes of e step acquisition; Calculate relax level slack line, equivalent with current actual damage degree through slack line is carried out the mechanics equivalence with damaged cable, the mechanical condition of equivalence is: the mechanics parameters of initial drift, geometrical property parameter, density 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 supporting ropes in structure is exactly identical, if after promptly replacing damaged cable with the slack line of equivalence, Cable Structure any variation can not take place, vice versa; Try to achieve the relax level that those are judged as slack line according to aforementioned mechanics equivalent condition, relax level is exactly the change amount of supporting rope drift, has just confirmed the long adjustment amount of rope of the supporting rope that those need adjust Suo Li; So just realized the lax identification of supporting rope; 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, through 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 one to be increased again on the basis of former health status by evaluation object unit damage or unit generalized displacement are arranged, claim that for narration makes things convenient for the present invention to close unit damage and unit generalized displacement are unit change; Concrete; If should be a supporting rope in the cable system by evaluation object; So just suppose that this supporting rope increases unit damage again on the basis of original health status; If should be the generalized displacement component of a direction of a bearing, just suppose that this bearing increases the generalized displacement of generation unit again on this generalized displacement direction basis in original health status, use by evaluation object
D Ui Write down this unit damage or unit generalized displacement, wherein
iExpression take place unit damage or unit generalized displacement by the numbering of evaluation object; Occur in calculating each time unit damage or unit generalized displacement be different from by evaluation object other time occur in calculating unit damage or unit generalized displacement by evaluation object; 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 each time formed a monitored amount calculation current vector;
G2. the monitored amount calculation current vector that calculates is each time calculated unit damage or the unit generalized displacement numerical value of being supposed divided by this time after deducting monitored amount initial vector again, obtains a monitored quantitative changeization vector, has
NIndividual just had by evaluation object
NIndividual monitored quantitative changeization 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 changeization vector.
Beneficial effect:System and method disclosed by the invention occurs under the situation of generalized displacement at the Cable Structure bearing, having under the synchronously impaired or lax condition of more rope monitoring and evaluation very exactly go out the health status (position and relax level or the degree of injury that comprise all bearing generalized 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 generalized displacement that can monitor Cable Structure rationally and effectively, identification damaged cable slack line.The following explanation of embodiments of the invention in fact only is exemplary, and purpose never is to limit application of the present invention or use.
Generalized 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 generalized displacement of identification bearing, damaged cable, slack line) of Cable Structure.During practical implementation, the following step is a kind of in the various steps that can take.
The first step: for the purpose of narrating conveniently, the present invention is unified to claim that supporting rope and the bearing generalized displacement component assessed are by evaluation object, establishes the quantity of the supporting rope of being assessed and the quantity sum of bearing generalized displacement component and does
N, promptly done by the quantity of evaluation object
NConfirm that by the coding rule of evaluation object with all being numbered by evaluation object in the Cable Structure, this numbering will be used to generate the vector sum matrix in subsequent step by this rule; The present invention uses variable
iRepresent this numbering,
i=1,2,3 ...,
N
Confirm 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; Confirm 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 by 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 Non-Destructive Testing data and other health status that can express rope of rope, perhaps can think when the structure original state is not damaged, no relaxed state vector
d o Each element numerical value get 0.
The 3rd step: setting up 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 supporting ropes 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, actual measurement or obtain elastic modulus, density, the initial cross sectional area of all ropes according to structural design, completion information.
The 4th step: setting up 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 confirm according to these coordinate datas the geometric properties of Cable Structure.As far as cable-stayed bridge, the original geometric form data can be the spatial datas that the spatial data of the end points of all ropes adds some points on the bridge two ends, so-called bridge type data that Here it is.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 bearing generalized coordinate data, Cable Structure modal data, all ropes; The Non-Destructive Testing data of rope etc. can be expressed the data of the health status of rope; According to design drawing and as-constructed drawing, utilize mechanics method to set up the initial Mechanics Calculation benchmark model A of Cable Structure
oIf there is not the measured data of the structure in the Cable Structure completion; So just before setting up health monitoring systems, this Cable Structure is surveyed; Obtain the measured data of Cable Structure equally; According to design drawing, the as-constructed drawing of these data and Cable Structure, utilize mechanics method to set up the initial Mechanics Calculation benchmark model A of Cable Structure equally
oNo matter which kind of method to obtain A with
o, based on A
oThe Cable Structure computational data that calculates must be very near its measured data, and difference therebetween must not be greater than 5%; 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: monitored amount monitoring system (for example containing strain transducer, signal conditioner etc.), cable force monitoring system (for example containing acceleration transducer, signal conditioner etc.), respectively support horizontal range monitoring system, signal (data) collector, the computing machine and the panalarm of communicating by letter of rope two supporting end points.The horizontal range of the Suo Li of each monitored amount, each supporting rope and each root supporting rope two supporting end points all must arrive by monitored system monitoring, and monitoring system is transferred to signal (data) collector with the signal that monitors; Signal is delivered to computing machine through signal picker; Computing machine then is responsible for the health monitoring software of the cable system of operation Cable Structure, comprises the signal that the transmission of tracer signal collector comes; 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 accomplished functions such as monitoring that the present invention's " based on method of strain monitoring identification damaged cable slack line bearing generalized displacement " required by task wants, record, control, storage, calculating, notice, warning (being all work that can accomplish with computing machine in this practical implementation method); And can regularly or by the personnel operation health monitoring systems generate Cable 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 accomplish necessary evaluation work automatically.
The 7th step: at Mechanics Calculation benchmark model A
oThe basis on carry out the several times Mechanics Calculation, through 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
NCalculate each time hypothesis have only one (vectorial by evaluation object with the Cable Structure initial health in former health status
d o Expression) increases again on the basis unit damage or unit generalized displacement are arranged; For making things convenient for the present invention to close, narration claims that unit damage and unit generalized displacement are unit change; Concrete, if should be a supporting rope in the cable system, so just suppose that this supporting rope increases unit damage again on the basis of original health status by evaluation object; If should be the generalized displacement component of a direction of a bearing by evaluation object; Just suppose that this bearing increases the generalized displacement of generation unit again and (if should was the translational component of the x direction of a bearing by evaluation object for example, just supposes that this bearing has the unit line displacement in the x direction, if should be the angular displacement component around the x axle of a bearing by evaluation object on this generalized displacement direction basis in original health status; Just suppose that this bearing has the unit angular displacement around the x axle), use
D Ui Write down this unit damage or unit generalized displacement, wherein
iExpression take place unit damage or unit generalized displacement by the numbering of evaluation object; Occur in calculating each time unit damage or unit generalized displacement be different from by evaluation object other time occur in calculating unit damage or unit generalized displacement by evaluation object; 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 each time formed a monitored amount calculation current vector (when hypothesis the
iWhen individual monitored amount has unit damage or unit generalized 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 generalized displacement numerical value of being supposed divided by this time after deducting monitored amount initial vector again, obtains a monitored quantitative changeization vector, has
NIndividual just had by evaluation object
NIndividual monitored quantitative changeization 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 changeization vector.In this step, reach when giving each vectorial element numbering thereafter; Should use same coding rule with other vector among the present invention; Can guarantee any element in each vector in this step like this; With element in other vector, that numbering is identical, expressed same monitored amount or same by the relevant information of 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 each time hypothesis have only one by evaluation object in former health status
d o The basis on increase again unit damage or unit generalized displacement arranged, calculate a monitored amount calculation current vector (when hypothesis the
iWhen individual monitored amount has unit damage or unit generalized 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 by 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 unit change by the unit change value of evaluation object,
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)
CUse
C t i Bring into,
d c Use
d t Bring into), obtain a linear relationship error vector
e, calculate a linear relationship error vector each time
eHave
NIndividual just had by evaluation object
NInferior calculating just has
NIndividual linear relationship error vector
e, with this
NIndividual linear relationship error vector
eObtain a vector after the addition, with this vector each element divided by
NAfter the new vector that obtains be exactly final linear relationship error vector
eVector
gEqual final error vector
eWith vector
gBe kept on the hard disc of computer of operation health monitoring systems software, supply health monitoring systems software to use.
The 9th step: will " initial rope force vector
F o ", " initial value of monitored amount vector
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 with the mode of data file.
The tenth step: actual measurement obtains the current cable power of all supporting ropes of Cable Structure, forms the current cable force vector
FSimultaneously, actual measurement obtain Cable Structure all specify the current measured value of monitored amount, form " the current numerical value vector of monitored amount
C".Actual measurement calculates the space coordinates of two supporting end points of all support cables, and the space coordinates of two the supporting end points difference of component in the horizontal direction is exactly two supporting end points horizontal ranges.
The 11 step: according to " current (calculating or actual measurement) numerical value vector of monitored amount
C" " initial value of monitored amount is vectorial together
C o ", " the monitored amount unit change of Cable Structure matrix
Δ C" and " by the current health status vector of evaluation object
d c " between the linear approximate relationship (seeing formula (9)) that exists, calculate cable system by the current health status vector of 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 by the current health status vector of evaluation object with the goal programming method only
d c Process, the concrete implementation procedure of other algorithm can realize according to the requirement of its specific algorithm in a similar fashion.
According to the goal programming method, formula (9) can transform the multi-objective optimization question shown in an accepted way of doing sth (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 supporting rope each element, be not more than 1; Each element corresponding to the bearing generalized displacement is selected according to the bearing restriction range).The meaning of formula (26) is to seek the minimum real number of an absolute value
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
(27)
Try to achieve by the current health status vector of evaluation object
d c After
,Can be vectorial according to the current actual health status that formula (17) obtain
dEach element, current actual health status vector
dHave reasonable error but can discern problematic rope (possibly be impaired also possibly be lax) more exactly, can confirm separating of all bearing generalized displacements more exactly.If the current actual health status vector that solves
dEach element corresponding to one by the health status of evaluation object; If should be the rope (or pull bar) in the cable system by evaluation object; Its current damage of the numeric representation of this element or lax so; If being somebody's turn to do by evaluation object be a generalized displacement component of a bearing, so its current generalized displacement numerical value of the numeric representation of this element.
The 12 step: identification damaged cable and slack line.Because current actual health status vector
dElement numerical value represent corresponding to the current actual health status of 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, representes 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 through removing the protective seam of supporting rope; To the visual discriminating of supporting Suo Jinhang; Perhaps carry out visual discriminating by optical imaging apparatus, also can be through lossless detection method to supporting rope impaired discriminating the whether, UT (Ultrasonic Testing) is exactly a kind of present widely used lossless detection method.Differentiate the back those do not find damage and
d i Numerical value is not that 0 supporting rope 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 generalized displacement.Current actual health status vector
dThe element numerical value corresponding to the bearing generalized displacement be exactly bearing generalized displacement amount.
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 generalized displacement of strain monitoring identification damaged cable slack line bearing is characterized in that said method comprises:
A. for for the purpose of narration is convenient, unifiedly claim that the supporting rope of being assessed is that establishing the quantity of the supporting rope of being assessed and the quantity sum of bearing generalized displacement component is N, is N by the quantity of evaluation object promptly by evaluation object with bearing generalized displacement component; Confirm that by the coding rule of evaluation object with all being numbered by evaluation object in the Cable Structure, this numbering will be used to generate the vector sum matrix in subsequent step by this rule; Represent this numbering with variable i, i=1,2,3 ..., N;
B. confirm the monitored point of appointment, monitored point promptly characterizes all specified points of structural strain information, and gives all specified point numberings; Confirm 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 be less than N;
C. the data of utilizing the Non-Destructive Testing data etc. of rope can express the health status of rope are set up initial health vector d
oIf when not having the data of Non-Destructive Testing data and other health status that can express rope of rope, vectorial d
oEach element numerical value get 0.
D. setting up initial health vector d
oThe time, directly measurement calculates the initial value of all monitored amounts of Cable Structure, forms the initial value vector C of monitored amount
o
E. setting up initial health vector d
oInitial value vector C with monitored amount
oThe time, directly measure the initial Suo Li that calculates all supporting ropes, form initial rope force vector F
oSimultaneously, obtain the initial drift that all support ropes, form initial drift vector l according to structural design data, completion data
oSimultaneously, obtain the initial geometric data and the initial Cable Structure bearing generalized coordinate data of Cable Structure according to structural design data, completion data or actual measurement; Simultaneously, actual measurement or obtain elastic modulus, density, the initial cross sectional area of all ropes according to structural design, completion information; The bearing generalized coordinate comprises two kinds of line amount and angle amounts;
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 bearing generalized 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, through calculate obtaining the monitored amount unit change of Cable Structure matrix Δ C;
H. actual measurement obtains the current cable power of all supporting ropes of Cable Structure, forms current cable force vector F; Simultaneously, actual measurement obtain Cable Structure all specify the current measured value of monitored amount, form " the current numerical value vector C of monitored amount "; Actual measurement calculates the volume coordinate of two supporting end points of all supporting ropes, 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. definition is to be asked by the current health status vector of evaluation object d
cWith current actual health status vector d; Vector d
o, d
cEqual by the quantity of evaluation object, d with the element number of d
o, d
cAnd the element of d and be one-to-one relationship between the evaluation object, d
o, d
cRepresent corresponding with the element numerical value of d by the degree of injury of evaluation object or generalized displacement or the degree of injury equivalent with the relax level mechanics;
J. according to " the current numerical value vector C of monitored amount " " the vectorial C of the initial value of monitored amount together
o", " the monitored amount unit change of Cable Structure matrix Δ C " and " by the current health status of evaluation object vector d
c" between the linear approximate relationship that exists, this linear approximate relationship can be expressed as formula 1, removes d in the formula 1
cOther outer amount is known, finds the solution formula 1 and just can calculate by the current health status vector of evaluation object d
c
C=C
o+ Δ Cd
cFormula 1
K. utilize the element d of the current actual health status vector d of formula 2 expression
jWith initial health vector d
oElement d
OjWith by the current health status of evaluation object vector d
cElement d
CjBetween relation, calculate all elements of current actual health status vector d.
d
i=1-(1-d
Oi) (1-d
Ci) formula 2
I=1 in the formula 2,2,3 ..., N;
Because it is corresponding to the current actual health status of evaluation object that the element numerical value of current actual health status vector d is represented; If should be a rope in the cable system by evaluation object; Its current actual damage of this element representation so; If being somebody's turn to do by evaluation object be a generalized displacement component of a bearing, so its current generalized displacement numerical value of this element representation; The element numerical value of current actual health status vector d is 0 o'clock, and it is 0 that the corresponding supporting rope not damaged of expression does not have lax or corresponding bearing generalized displacement component, is not 0 element corresponding to problematic supporting rope or the bearing of generalized displacement is arranged; Confirm problematic supporting rope thus, confirmed the bearing generalized displacement;
L. from the problematic supporting rope that k identified the step, identify damaged cable through lossless detection method, remaining is exactly slack line;
M. from current actual health status vector d, take out the corresponding element of supporting rope and form the actual health status vector of supporting Suo Dangqian d
c, the actual health status vector of supporting Suo Dangqian d
cQ element arranged, the current actual damage value of expression Q root supporting rope, d
cThe coding rule of element and vectorial F
oCoding rule identical, i.e. d
cAnd F
oThe information of the element representation same support rope of identical numbering;
N. be utilized in the actual health status vector of the supporting Suo Dangqian d that the m step obtains
cObtain the current actual damage degree of slack line, be utilized in the current cable force vector F that the h step obtains, be utilized in the volume coordinate that h goes on foot two supporting end points of all supporting ropes that obtain, be utilized in the initial drift vector l of e step acquisition
oBe utilized in elastic modulus, density, the initial cross sectional area data of all ropes of e step acquisition; Calculate relax level slack line, equivalent with current actual damage degree through slack line is carried out the mechanics equivalence with damaged cable, the mechanical condition of equivalence is: the mechanics parameters of initial drift, geometrical property parameter, density 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 supporting ropes in structure is exactly identical, if after promptly replacing damaged cable with the slack line of equivalence, Cable Structure any variation can not take place, vice versa; Try to achieve the relax level that those are judged as slack line according to aforementioned mechanics equivalent condition, relax level is exactly the change amount of supporting rope drift, has just confirmed the long adjustment amount of rope of the supporting rope that those need adjust Suo Li; So just realized the lax identification of supporting rope; Institute's demand power is provided by current cable force vector F corresponding element during calculating.
2. the method based on the generalized displacement of strain monitoring identification damaged cable slack line bearing 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, through the concrete grammar that calculate to obtain the monitored amount unit change of Cable Structure matrix Δ C be:
G1. at the Mechanics Calculation benchmark model A of Cable Structure
oThe basis on carry out the several times Mechanics Calculation, equal N on the calculation times numerical value; Calculate hypothesis each time and have only one to be increased again on the basis of former health status by evaluation object unit damage or unit generalized displacement are arranged, claim that for narration makes things convenient for this method to close unit damage and unit generalized displacement are unit change; Concrete; If should be a supporting rope in the cable system by evaluation object; So just suppose that this supporting rope increases unit damage again on the basis of original health status; If should be the generalized displacement component of a direction of a bearing, just suppose that this bearing increases the generalized displacement of generation unit again on this generalized displacement direction basis in original health status, use D by evaluation object
UiWrite down this unit damage or unit generalized displacement, wherein i represent to take place unit damage or unit generalized displacement by the numbering of evaluation object; Occur in calculating each time unit damage or unit generalized displacement be different from by evaluation object other time occur in calculating unit damage or unit generalized displacement by evaluation object; 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 each time formed a monitored amount calculation current vector;
G2. the monitored amount calculation current vector that calculates is each time calculated unit damage or the unit generalized displacement numerical value of being supposed divided by this time after deducting monitored amount initial vector again; Obtain a monitored quantitative changeization vector, have N evaluation object that N monitored quantitative changeization vector just arranged;
G3. form the monitored amount unit change of the Cable Structure matrix Δ C that the N row are arranged successively by this N monitored quantitative change vector; Each row of the monitored amount unit change of Cable Structure matrix Δ C are corresponding to a monitored quantitative changeization vector.
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| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102706610A (en) * | 2012-05-30 | 2012-10-03 | 东南大学 | Problem cable and supporting seat generalized displacement identification method based on strain monitoring at moment of temperature variation |
| CN102706669A (en) * | 2012-05-30 | 2012-10-03 | 东南大学 | Damaged cable and support generalized displacement identification method based on strain monitoring of temperature change |
| CN102706587A (en) * | 2012-05-29 | 2012-10-03 | 东南大学 | Problem cable and supporting seat translation identification method based on strain monitoring at moment of temperature variation |
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| CN102706587B (en) * | 2012-05-29 | 2015-07-29 | 东南大学 | The problem cable of strain monitoring and support translation identification method during temperature variation |
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