CN105067341A - Method for progressively recognizing damaged cable of load based on streamlined hybrid monitoring process of generalized displacement - Google Patents

Method for progressively recognizing damaged cable of load based on streamlined hybrid monitoring process of generalized displacement Download PDF

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CN105067341A
CN105067341A CN201510439647.9A CN201510439647A CN105067341A CN 105067341 A CN105067341 A CN 105067341A CN 201510439647 A CN201510439647 A CN 201510439647A CN 105067341 A CN105067341 A CN 105067341A
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vector
load
cable
cable structure
initial
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韩玉林
韩佳邑
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Southeast University
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Southeast University
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Abstract

The invention provides a method for progressively recognizing the damaged cable of a load based on the streamlined hybrid monitoring process of the generalized displacement. According to the method, based on the hybrid monitoring process, whether a mechanical calculation benchmark model of a cable structure needs to be updated or not is determined through monitoring the generalized displacement of a bearer, the variation degree of a load and the damaged degree of a damaged cable. After that, the mechanical calculation benchmark model of the cable structure, with the generalized displacement of the bearer, the variation degree of the load and the damaged degree of the damaged cable being taken into account, is obtained. On the basis of the above model, according to the approximately linear relationships between the current numeric vector of a monitored quantity and the current initial numeric vector of the monitored quantity, the numerical value variation matrix of the monitored quantity with unit damage and the current nominal damage vector of an unknown current nominal damage vector, the health status of a core to-be-evaluated object can be recognized.

Description

Simplify generalized displacement hybrid monitoring loading problem rope progressive-type recognition method
Technical field
Cable-stayed bridge, suspension bridge, the structures such as truss structure have a common ground, it is exactly that they have many parts for bearing tensile load, such as suspension cable, main push-towing rope, hoist cable, pull bar etc., the common ground of the class formation is with rope, cable is subjected only to the rod member of tensile load for supporting member, for convenience, such structure representation is " Cable Structure " by this method, and by all carrying ropes of Cable Structure, carry cable, and all rod members (also known as two power rod members) for being subjected only to axial tension or axial compression load, it is collectively referred to as convenience " cable system ", in this method carrying rope is censured with " support cable " this noun, carrying cable and the rod member for being subjected only to axial tension or axial compression load, sometimes referred to simply as " rope ", so when " rope " this word is used below, two power rod members are just actually referred to truss structure.The impaired and lax pair Cable Structure of support cable is a significant threat safely, and damaged cable and slack line are referred to as the support cable of unsoundness problem, referred to as problem cable by this method.During structure military service, the correct identification to support cable or the health status of cable system is related to the safety of whole Cable Structure.During Cable Structure military service, generalized displacement may occur for Cable Structure bearing, the load that Cable Structure is born is it can also happen that change, the health status of Cable Structure may also change simultaneously, in this complex condition, based on hybrid monitoring, (this method judges the health status of Cable Structure to this method by the hybrid monitoring of the change of the measurable parameter to the foregoing different types of Cable Structure of this section, all monitored Cable Structure characteristic parameters are referred to as " monitored amount " by this method, it is made up of due to being now monitored amount the different types of measurable parameter mixing of Cable Structure, this method is referred to as hybrid monitoring) recognize problem cable, belong to engineering structure health monitoring field.
Background technology
Reject the influence of load change, Cable Structure generalized displacement of support to Cable Structure health status recognition result, so that the change of the health status of identification structure exactly, the problem of being in the urgent need to address at present, this method discloses a kind of effective, the cheap method for solving this problem.
The content of the invention
Technical problem:This method discloses a kind of method, under conditions of cost is lower, when bearing has generalized displacement, in the load change that structure is born, the influence of generalized displacement of support and load change to Cable Structure health status recognition result can be rejected, so as to identify the health status of support cable exactly.
During Cable Structure military service, Suo Changdu under support cable free state (it is 0 that now rope tensility, which is also referred to as Suo Li) (is referred to as drift, this method refers exclusively to the drift of that section of rope between the supporting end points of support cable two) it can change, the first purpose of this method seeks to identify the support cable that drift is changed, and identify the knots modification of their drift, this knots modification provides direct basis for the cable force adjustment of the rope, for convenience, the support cable that drift changes is referred to as slack line by this method.
Technical scheme:In the method, coordinate of the bearing on the X, Y, Z axis of Descartes's rectangular coordinate system is censured with " bearing space coordinate ", space coordinate of the bearing on X, Y, Z axis can also be said to be, bearing is referred to as in space coordinate component of the bearing on the axle, this method also reaching concrete numerical value of the bearing on the space coordinate of some axle with a space coordinate subscale of bearing on the concrete numerical value of the space coordinate of some axle;Angular coordinate of the bearing on X, Y, Z axis is censured with " bearing angular coordinate ", bearing is referred to as in angular coordinate component of the bearing on the axle, this method also reaching concrete numerical value of the bearing on the angular coordinate of some axle with an angular coordinate subscale of bearing on the concrete numerical value of the angular coordinate of some axle;Censure that bearing angular coordinate and bearing space coordinate are all with " bearing generalized coordinates ", in this method also with a generalized coordinates subscale of bearing up to bearing on the space coordinate of axle or the concrete numerical value of angular coordinate;Bearing is referred to as bearing displacement of the lines on the change of the coordinate of X, Y, Z axis, it may also be said to which the change of bearing space coordinate is referred to as the concrete numerical value in bearing displacement of the lines, this method also with the translational component expression bearing of bearing on the displacement of the lines of some axle;Bearing is referred to as the concrete numerical value in angular displacement of support, this method also with the angular displacement component expression bearing of bearing on the angular displacement of some axle on the change of the angular coordinate of X, Y, Z axis;Generalized displacement of support censures bearing displacement of the lines and angular displacement of support is all, and also bearing is reached on the displacement of the lines of some axle or the concrete numerical value of angular displacement with a generalized displacement subscale of bearing in this method;Bearing displacement of the lines is alternatively referred to as translational displacement, and support settlement is the component of bearing displacement of the lines or translational displacement in gravity direction.
The external force that object, structure are born can be described as load, and load includes face load and volume load.Face load is also known as surface load, is the load for acting on body surface, including two kinds of concentrfated load and distributed load.Volume load is the continuously distributed load in interior of articles each point, the deadweight of such as object and inertia force.
Concentrfated load is divided into two kinds of concentrated force and concentrated couple, in a coordinate system, for example in Descartes's rectangular coordinate system, one concentrated force can resolve into three components, likewise, a concentrated couple can also resolve into three components, if load is actually concentrfated load, force component or a concentrated couple component is concentrated to be referred to as a load by one in the method, the now change of load is embodied as a change for concentrating force component or a concentrated couple component.
Distributed load is divided into line distributed load and EDS maps load, the size of the zone of action and distributed load of the description of distributed load at least including distributed load, the size of distributed load is expressed with distribution intensity, being distributed intensity, to express, (such as two distributed loads are all uniform with distribution characteristics (such as uniform, SIN function equal distribution feature) and amplitude, but its amplitude is different, and the concept of amplitude can be illustrated by taking well-distributed pressure as an example:Same structure bears two different well-distributed pressures, and two distributed loads are all uniform loads, but the amplitude of a distributed load is 10MPa, and the amplitude of another distributed load is 50MPa).If load is actually distributed load, when this method talks about the change of load, actually refer to the change of the amplitude of distributed load distribution intensity, and the distribution characteristics of the zone of action of distributed load and distribution intensity is constant.In a coordinate system, one distributed load can resolve into several components, if the amplitude of the respective distribution intensity of several components of this distributed load changes, and the ratio of change is not all identical, the component of this several distributed load is so regarded as same amount of independent distributed load in the method, now a load just represents the component of a distributed load, the amplitude changing ratio identical component of wherein distribution intensity can also be synthesized into a distributed load or is load.
Volume load is the continuously distributed load in interior of articles each point, deadweight and inertia force such as object, the size of the zone of action and volume load of the description of volume load at least including volume load, the size of volume load is expressed with distribution intensity, with distribution characteristics (such as uniform, linear function equal distribution feature) and amplitude, to express, (it is all uniform that lotuses are storaged in such as two individuals to distribution intensity, but its amplitude is different, and the concept of amplitude is illustrated exemplified by can conducting oneself with dignity:The material of two parts of same structure is different, therefore density is different, so while the volume load suffered by the two parts is all uniform, but the amplitude of the volume load suffered by a part is probably 10kN/m3, the amplitude of the volume load suffered by another part is 50kN/m3).If load is actually volume load, in the method actual treatment be volume load distribution intensity amplitude change, and the distribution characteristics of the zone of action of volume load and distribution intensity is constant, actually refer to the change of the amplitude of the distribution intensity of volume load during the change for now mentioning load in the method, now, the load changed refers to the volume load that the amplitude of those distribution intensities changes.In a coordinate system, one individual stowage lotus can resolve into several components (such as in Descartes's rectangular coordinate system, volume load can resolve into the component of three axles on coordinate system, that is, volume load can resolve into three components in Descartes's rectangular coordinate system), if the amplitude of the respective distribution intensity of several components of this volume load changes, and the ratio of change is not all identical, the component that lotus so is storaged in this several body in the method regards same amount of independent load as, the amplitude changing ratio identical volume sharing part of the load of wherein distribution intensity can also be synthesized to an individual stowage lotus or it is load.
When load is embodied as concentrfated load, in the method, " load unit change " actually refers to " unit change of concentrfated load ", similar, " load change " is referred specifically to " change of the size of concentrfated load ", " load change amount " is referred specifically to " variable quantity of the size of concentrfated load ", " load change degree " is referred specifically to " intensity of variation of the size of concentrfated load ", " the actual change amount of load " refers to " the actual change amount of the size of concentrfated load ", " load changed " refers to " concentrfated load that size changes ", briefly, now " so-and-so load so-and-so change " refers to " size of so-and-so concentrfated load so-and-so change ".
When load is embodied as distributed load, in the method, " load unit change " actually refers to " unit change of the amplitude of the distribution intensity of distributed load ", and the distribution characteristics of distributed load is constant, similar, " load change " is referred specifically to " change of the amplitude of the distribution intensity of distributed load ", and the distribution characteristics of distributed load is constant, " load change amount " is referred specifically to " variable quantity of the amplitude of the distribution intensity of distributed load ", " load change degree " is referred specifically to " intensity of variation of the amplitude of the distribution intensity of distributed load ", " the actual change amount of load " is referred specifically to " the actual change amount of the amplitude of the distribution intensity of distributed load ", " load changed " refers to " distributed load that the amplitude of distribution intensity changes ", briefly, now " so-and-so load so-and-so change " refers to " amplitude of the distribution intensity of so-and-so distributed load so-and-so change ", and the distribution characteristics of the zone of action of all distributed loads and distribution intensity is constant.
When load is embodied as volume load, in the method, " load unit change " actually refers to " unit change of the amplitude of the distribution intensity of volume load ", similar, " load change " refers to " change of the amplitude of the distribution intensity of volume load ", " load change amount " refers to " variable quantity of the amplitude of the distribution intensity of volume load ", " load change degree " refers to " intensity of variation of the amplitude of the distribution intensity of volume load ", " the actual change amount of load " refers to " the actual change amount of the amplitude of the distribution intensity of volume load ", " load changed " refers to " the volume load that the amplitude of distribution intensity changes ", briefly, " so-and-so load so-and-so change " refers to " amplitude of the distribution intensity of so-and-so volume load so-and-so change ", and the distribution characteristics of the zone of action of all volume load and distribution intensity is constant.
This method is specifically included:
A. when though the load that Cable Structure is born is changed, during initial without departing from the Cable Structure allowable load of the load that Cable Structure is being born, this method is applicable;The initial allowable load of Cable Structure refers to allowable load of the Cable Structure in completion, can be obtained by conventional Mechanics Calculation;This method unitedly calls evaluated support cable and load is " evaluation object ", if the evaluated quantity of support cable and the quantity sum of load is that N, the i.e. quantity of " evaluation object " are N;This method refers exclusively to the evaluated support cable in " evaluation object " with title " core evaluation object ", and this method refers exclusively to the evaluated load in " evaluation object " with title " secondary evaluation object ";The coding rule of evaluation object is determined, is numbered evaluation object all in Cable Structure by this rule, the numbering will be used to generate vector sum matrix in subsequent step;This method represents this numbering, k=1,2,3 ..., N with variable k;The support cable by monitored Suo Li specified during hybrid monitoring is determined, if having Q root support cables in cable system, that is, a Q core evaluation object is had, the monitored rope force data of the Cable Structure M in Cable Structure1The M of individual specified support cable1Individual rope force data is described, and Cable Structure Suo Li change is exactly the Suo Li of all specified support cables change;M is had every time1Individual cable force measurement value or calculated value characterize the rope force information of Cable Structure;M1It is an integer for being not more than Q not less than 0;Determine the measured point by monitored strain specified during hybrid monitoring, the monitored strain data of Cable Structure can in Cable Structure K2The L of individual specified point and each specified point2The strain of individual assigned direction is described, and the change of Cable Structure strain data is exactly K2The change of all tested strains of individual specified point;M is had every time2Individual strain measurement value or calculated value strain to characterize Cable Structure, M2For K2And L2Product;M2It is no less than 0 integer;Determine the measured point by monitored angle specified during hybrid monitoring, the monitored angle-data of the Cable Structure K in Cable Structure3Individual specified point, excessively each specified point L3The H of individual specified straight line, each specified straight line3Individual angle coordinate component is described, and the change of Cable Structure angle is exactly change of all specified points, all specified straight lines, all angle coordinate components specified;M is had every time3Individual angle coordinate component measurement value or calculated value characterize the angle information of Cable Structure, M3For K3、L3And H3Product;M3It is an integer not less than 0;The shape data that will be monitored for determining to specify during hybrid monitoring, the monitored shape data of the Cable Structure K in Cable Structure4The L of individual specified point and each specified point4The space coordinate of individual assigned direction is described, and the change of Cable Structure shape data is exactly K4The change of all coordinate components of individual specified point;M is had every time4Individual coordinates measurements or calculated value characterize Cable Structure shape, M4For K4And L4Product;M4It is an integer not less than 0;The monitored amount of summary hybrid monitoring, whole Cable Structure has M monitored amounts, and M is M1、M2、M3And M4Sum, it is M to define parameter K, K1、K2、K3And K4Sum, M have to be larger than the quantity of core evaluation object, and M is less than the quantity of evaluation object;For convenience, listed M monitored amount of this step is referred to as " monitored amount " in the method;The external force that object, structure are born can be described as load, and load includes face load and volume load;Face load is also known as surface load, is the load for acting on body surface, including two kinds of concentrfated load and distributed load;Volume load is the continuously distributed load in interior of articles each point, including the deadweight of object and inertia force;Concentrfated load is divided into two kinds of concentrated force and concentrated couple, including in the coordinate system including Descartes's rectangular coordinate system, one concentrated force can resolve into three components, same, one concentrated couple can also resolve into three components, if load is actually concentrfated load, it is a load to concentrate force component or a concentrated couple component to be calculated as or count by one in the method, and the now change of load is embodied as a change for concentrating force component or a concentrated couple component;Distributed load is divided into line distributed load and EDS maps load, and the description of distributed load at least includes the zone of action of distributed load and the size of distributed load, and the size of distributed load is expressed with distribution intensity, and distribution intensity is expressed with distribution characteristics and amplitude;If load is actually distributed load, when this method talks about the change of load, actually refer to the change of the amplitude of distributed load distribution intensity, and the distribution characteristics of the zone of action of all distributed loads and distribution intensity is constant;Including in the coordinate system including Descartes's rectangular coordinate system, one distributed load can resolve into three components, if the amplitude of the respective distribution intensity of three components of this distributed load changes, and the ratio of change is not all identical, it is three distributed loads that so three components of this distributed load, which are calculated as or counted, in the method, and now a load just represents the one-component of distributed load;Volume load is the continuously distributed load in interior of articles each point, and the description of volume load at least includes the zone of action of volume load and the size of volume load, and the size of volume load is expressed with distribution intensity, and distribution intensity is expressed with distribution characteristics and amplitude;If load is actually volume load, in the method actual treatment be volume load distribution intensity amplitude change, and the distribution characteristics of the zone of action of all volume load and distribution intensity is constant, actually refer to the change of the amplitude of the distribution intensity of volume load during the change for now mentioning load in the method, now, the load changed refers to the volume load that the amplitude of those distribution intensities changes;Including in the coordinate system including Descartes's rectangular coordinate system, one individual stowage lotus can resolve into three components, if the amplitude of the respective distribution intensity of three components of this volume load changes, and the ratio of change is not all identical, then three components of this volume load are calculated as or counted as three distributed loads in the method;
B. survey or consult reference materials and obtain the physical and mechanical properties parameter of various materials used in Cable Structure;While surveying or consulting reference materials the physical and mechanical properties parameter for obtaining various materials used in Cable Structure, direct measurement calculates the Initial cable force for obtaining all support cables, composition Initial cable force vector Fo;According to include the data including Cable Structure design data, completion data obtain all support cables free state i.e. Suo Li for 0 when length, in free state when cross-sectional area and the unit length in free state weight, successively composition support cable initial drift is vectorial, the weight vector of the initial free unit length of initial free cross-sectional area vector sum, the coding rule and Initial cable force vector F of the element that initial drift is vectorial, the initial free unit length of initial free cross-sectional area vector sum weight is vectorial of support cableoElement coding rule it is identical;
C. while surveying or consulting reference materials the physical and mechanical properties parameter for obtaining various materials used in Cable Structure, direct measurement calculates the measured data for obtaining initial Cable Structure, the measured data of initial Cable Structure is to include Cable Structure concentrfated load measurement data, Cable Structure distributed load measurement data, Cable Structure volume load measurement data, the initial value of all monitored amounts, the Initial cable force data of all support cables, initial Cable Structure modal data, initial Cable Structure strain data, initial Cable Structure geometric data, initial Cable Structure bearing generalized coordinates data, initial Cable Structure angle-data, measured data including initial Cable Structure spatial data, while the measured data of initial Cable Structure is obtained, survey calculation obtains the data of the health status that can express support cable including the Non-destructive Testing Data of support cable, the data of the health status that can express support cable now are referred to as support cable initial health data;The monitored amount initial value vector C of initial value composition of all monitored amountso, it is monitored amount initial value vector CoCoding rule and M monitored amounts coding rules it is identical;Evaluation object initial damage vector d is set up using support cable initial health data and Cable Structure load measurement datao, vectorial doRepresent with initial mechanical calculating benchmark model AoThe initial health of the evaluation object of the Cable Structure of expression;Evaluation object initial damage vector doElement number be equal to N, doElement and evaluation object be one-to-one relationship, vectorial doElement coding rule it is identical with the coding rule of evaluation object;If doThe corresponding evaluation object of some element be a support cable in cable system, then doThe element numerical value represent correspondence support cable initial damage degree, if the numerical value of the element is 0, it is intact to represent the support cable corresponding to the element, do not damage, if its numerical value is 100%, then represent that the support cable corresponding to the element has completely lost bearing capacity, if its numerical value is between 0 and 100%, then it represents that the support cable loses the bearing capacity of corresponding proportion;If doThe corresponding evaluation object of some element be to take d in some load, this methodoThe element numerical value be 0, the initial value for representing the change of this load is 0;If during data without the Non-destructive Testing Data of support cable and other health status that can express support cable, or can consider structure original state be not damaged without relaxed state when, vectorial doIn each element numerical value related to support cable take 0;Initial Cable Structure bearing generalized coordinates data constitute initial Cable Structure bearing generalized coordinates vector Uo
D. the physical and mechanical properties parameter of various materials, initial Cable Structure bearing generalized coordinates vector U according to used in the design drawing of Cable Structure, the measured data of as-built drawing and initial Cable Structure, support cable initial health data, Cable Structure concentrfated load measurement data, Cable Structure distributed load measurement data, Cable Structure volume load measurement data, Cable StructureoAll Cable Structure data obtained with preceding step, set up the initial mechanical calculating benchmark model A of Cable Structureo, based on AoCalculate obtained Cable Structure calculate data must closely its measured data, difference therebetween cannot be greater than 5%;Corresponding to AoCable Structure bearing generalized coordinates data be exactly initial Cable Structure bearing generalized coordinates vector Uo;Corresponding to AoEvaluation object health status evaluation object initial damage vector doRepresent;Corresponding to AoAll monitored amounts initial value with monitored amount initial value vector CoRepresent;UoAnd doIt is AoParameter, by AoThe obtained initial value of all monitored amounts of Mechanics Calculation result and CoThe initial value of all monitored amounts represented is identical, therefore alternatively CoBy AoMechanics Calculation result composition, A in the methodo、Co、doAnd UoIt is constant;
E. in the method, alphabetical i is in addition to the place for clearly indicating that number of steps, and alphabetical i only represents that cycle-index, i.e. ith are circulated;Ith circulation needs the current initial mechanical calculating benchmark model of Cable Structure setting up or having set up to be designated as current initial mechanical calculating benchmark model A when startingi o;When ith circulation starts, corresponding to Ai o" Cable Structure bearing generalized coordinates data " with current initial Cable Structure bearing generalized coordinates vector Ui oRepresent, vectorial Ui oDefinition mode and vector UoDefinition mode it is identical, Ui oElement and UoElement correspond;The current initial damage vector of evaluation object that ith circulation needs when starting is designated as di o, di oRepresent Cable Structure A during this time circulation beginningi oEvaluation object health status, di oDefinition mode and doDefinition mode it is identical, di oElement and doElement correspond;When ith circulation starts, the initial value of all monitored amounts, with the current initial value vector C of monitored amounti oRepresent, vectorial Ci oDefinition mode and vector CoDefinition mode it is identical, Ci oElement and CoElement correspond, be monitored the current initial value vector C of amounti oRepresent to correspond to Ai oAll monitored amounts concrete numerical value;Ui oAnd di oIt is Ai oCharacterisitic parameter, Ci oBy Ai oMechanics Calculation result composition;When circulation starts for the first time, Ai oIt is designated as A1 o, set up A1 oMethod to make A1 oEqual to Ao;When circulation starts for the first time, Ui oIt is designated as U1 o, set up U1 oMethod to make U1 oEqual to Uo;When circulation starts for the first time, di oIt is designated as d1 o, set up d1 oMethod to make d1 oEqual to do;When circulation starts for the first time, Ci oIt is designated as C1 o, set up C1 oMethod to make C1 oEqual to Co
F. enter from here and the circulation walked to q is walked by f;During structure military service, constantly actual measurement obtains Cable Structure bearing angular coordinate current data, and all Cable Structure bearing angular coordinate current datas constitute current Cable Structure actual measurement bearing angular coordinate vector Ui, vectorial UiDefinition mode and vector UoDefinition mode it is identical, UiElement and UoElement correspond;Vectorial U is obtained in actual measurementiWhile, actual measurement obtains the currency of all monitored amounts in Cable Structure, all these monitored amount current value vector C of numerical value compositioni, vectorial CiDefinition mode and vector CoDefinition mode it is identical, CiElement and CoElement correspond, represent identical monitored amount in numerical value not in the same time;Monitored amount current value vector C is obtained in actual measurementiSynchronization, actual measurement obtains the rope force datas of all Q roots support cables in Cable Structure, all these rope force datas composition current cable force vector Fi, vectorial FiElement and vector FoElement coding rule it is identical;Monitored amount current value vector C is obtained in actual measurementiSynchronization, Actual measurement obtains the space coordinate of two supporting end points of all Q roots support cables, the difference of the space coordinate component in the horizontal direction of two supporting end points is exactly two supporting end points horizontal ranges, two supporting end points horizontal range data of all support cables constitute the current supporting end points of support cable two horizontal range vector, the coding rule and Initial cable force vector F of the element of the current supporting end points of support cable two horizontal range vectoroElement coding rule it is identical;
G. bearing generalized coordinates vector U is surveyed according to current Cable Structurei, current initial mechanical calculating benchmark model A is updated according to step g1 to g3i o, the monitored current initial value vector C of amounti oWith current initial Cable Structure bearing generalized coordinates vector Ui o, and the current initial damage vector d of evaluation objecti oKeep constant;
G1. U is comparediWith Ui oIf, UiEqual to Ui o, then Ai o、Ci oAnd Ui oKeep constant, otherwise need to follow these steps to Ai o、Ci oAnd Ui oIt is updated;
G2. U is calculatediWith UoDifference, UiWith UoDifference be exactly generalized displacement of support of the Cable Structure bearing on initial position, represent generalized displacement of support with generalized displacement of support vector V, V is equal to UiSubtract Uo
G3. to AoIn Cable Structure bearing apply generalized displacement of support constraint, the numerical value of generalized displacement of support constraint is just derived from the numerical value of corresponding element in generalized displacement of support vector V, to AoIn Cable Structure bearing apply the current initial mechanical calculating benchmark model A that is updated after generalized displacement of support constrainti o, update Ai oWhile, Ui oAll elements numerical value also uses UiAll elements numerical value correspondence is replaced, that is, have updated Ui o, thus obtained properly corresponding to Ai oUi o, now di oKeep constant;As renewal Ai oAfterwards, Ai oRope the health status current initial damage vector d of evaluation objecti oRepresent, Ai oBearing generalized coordinates with current initial Cable Structure bearing generalized coordinates vector Ui oRepresent;Update Ci oMethod be:As renewal Ai oAfterwards, A is obtained by Mechanics Calculationi oIn all monitored amounts, current concrete numerical value, these concrete numerical values composition Ci o
H. in current initial mechanical calculating benchmark model Ai oOn the basis of, Mechanics Calculation several times is carried out according to step h1 to step h4, unit damage monitored numerical quantity transformation matrices Δ C is set up by calculatingiWith evaluation object unit change vector Di u
H1. when ith circulates beginning, method obtains Δ C directly as listed by step h2 to step h4iAnd Di u;At other moment, when in step g to Ai oAfter being updated, it is necessary to which the method as listed by step h2 to step h4 regains Δ CiAnd Di uIf, not to A in step gi oIt is updated, then is directly transferred to step i here and carries out follow-up work;
H2. in current initial mechanical calculating benchmark model Ai oOn the basis of carry out Mechanics Calculation several times, calculation times are numerically equal to the quantity N of all evaluation objects, have it is N number of assessment object just have n times calculating;According to the coding rule of evaluation object, calculated successively;Calculate each time and assume that only one of which evaluation object is further added by unit damage or load unit change on the basis of original damage or load, specifically, if the evaluation object is a support cable in cable system, it is assumed that the support cable is further added by unit damage, if the evaluation object is a load, it is assumed that the load is further added by load unit change, D is usedi ukThis increased unit damage or load unit change is recorded, wherein k represents the numbering for increasing unit damage or the evaluation object of load unit change, Di ukIt is evaluation object unit change vector Di uAn element, evaluation object unit change vector Di uElement coding rule and vector doElement coding rule it is identical;The evaluation object that unit damage or load unit change are further added by calculating each time is different from the evaluation object that unit damage or load unit change are further added by other calculating, the current calculated value for all monitored amounts that Cable Structure is all calculated using mechanics method is calculated each time, and the current calculated value that obtained all monitored amounts are calculated each time constitutes a monitored amount calculation current vector;When assuming that k-th of evaluation object is further added by unit damage or load unit change, C is usedi tkRepresent corresponding " monitored amount calculation current vector ";When in this step to each vectorial element number, same coding rule should be used with other vectors in this method, to ensure any one element in this step in each vector, with other vectors, numbering identical element, same monitored amount or the relevant information of same target are expressed;Ci tkDefinition mode and vector CoDefinition mode it is identical, Ci tkElement and CoElement correspond;
H3. obtained vectorial C is calculated each timei tkSubtract vectorial Ci oA vector is obtained, then " numerical value change vector δ a C for monitored amount will be obtained after each element of the vector divided by the assumed unit damage of this calculating or load unit change numerical valuei k”;There is N number of evaluation object just to have N number of " the numerical value change vector of monitored amount ";
H4. " the unit damage monitored numerical quantity transformation matrices Δ C for having N to arrange is constituted successively according to the coding rule of N number of evaluation object by this N number of " numerical value change vector of monitored amount "i”;Unit damage monitored numerical quantity transformation matrices Δ CiEach row correspond to a monitored amount unit change vector;Unit damage monitored numerical quantity transformation matrices Δ CiEvery a line correspond to same monitored amount different evaluation objects increase unit damage or load unit change when different unit change amplitudes;Unit damage monitored numerical quantity transformation matrices Δ CiRow coding rule and vector doElement coding rule it is identical, unit damage monitored numerical quantity transformation matrices Δ CiRow coding rule and M monitored amounts coding rules it is identical;
I. current nominal fatigue vector d is definedi cWith currently practical injury vector di, di cAnd diElement number be equal to evaluation object quantity, di cAnd diElement and evaluation object between be one-to-one relationship, di cElement numerical value represent correspondence evaluation object nominal fatigue degree or nominal load variable quantity, di cAnd diWith evaluation object initial damage vector doElement number rule it is identical, di cElement, diElement and doElement be one-to-one relationship;
J. according to monitored amount current value vector CiWith " the monitored current initial value vector C of amounti o", " unit damage monitored numerical quantity transformation matrices Δ Ci" and " current nominal fatigue vector di c" between the linear approximate relationship that exists, the linear approximate relationship can be expressed as removing d in formula 1, formula 1i cOuter other amounts are, it is known that solution formula 1 can just calculate current nominal fatigue vector di c
Formula 1
K. the currently practical injury vector d expressed using formula 2iK-th of element di kWith the current initial damage vector d of evaluation objecti oK-th of element di okWith current nominal fatigue vector di cK-th of element di ckBetween relation, calculating obtain currently practical injury vector diAll elements;
K=1,2,3 in formula 2 ..., N;di kThe currently practical health status of k-th of evaluation object in ith circulation is represented, if the evaluation object is a support cable in cable system, then di kThe order of severity of its current health problem is represented, the support cable of unsoundness problem is probably slack line, is also likely to be damaged cable, di kThe numerical response degree of relaxation or the damage of the support cable;Damaged cable is identified from the support cable of these unsoundness problems, remaining is exactly slack line, the currently practical injury vector d of evaluation objectiIn correspond to slack line element numerical expression be with slack line relax degree mechanic equivalent currently practical equivalent damage degree;If the evaluation object is a load, then di kRepresent the actual change amount of the load;By the currently practical injury vector d of evaluation objectiIn the Q element related to Q root support cables take out, the currently practical injury vector d of composition support cableci, the currently practical injury vector d of support cableciElement coding rule and Initial cable force vector FoElement coding rule it is identical;The currently practical injury vector d of support cableciH-th of element representation Cable Structure in h root support cables currently practical amount of damage, h=1,2,3 ... ..., Q;The currently practical injury vector d of support cableciMiddle numerical value does not correspond to the support cable of unsoundness problem for 0 element, damaged cable is identified from the support cable of these unsoundness problems, remaining is exactly slack line;Support cable currently practical injury vector d corresponding with damaged cableciIn element numerical expression be the damaged cable currently practical damage, element numerical value be 100% when represent that the support cable thoroughly loses bearing capacity, represented when between 0 and 100% lose corresponding proportion bearing capacity;Identify after slack line, utilize the currently practical injury vector d of support cableciThese slack lines, the degree that relaxed with it mechanic equivalent the currently practical equivalent damage degree of expression, utilizes current cable force vector FiEnd points horizontal range vector is supported with current support cable two, using the initial drift that the support cable obtained is walked in b is vectorial, the initial free unit length of initial free cross-sectional area vector sum weight is vectorial, Initial cable force vector FoUtilize the physical and mechanical properties parameter that various materials used in the Cable Structure of acquisition are walked in b, calculated by the way that slack line is carried out into mechanic equivalent with damaged cable slack line, with the equivalent relaxation degree of currently practical equivalent damage degree, mechanic equivalent condition is:First, two equivalent ropes without relaxation with not damaged when initial drift, geometrical property parameter, the mechanics parameters of density and material it is identical;2nd, after relaxing or damage, two equivalent slack lines are identical with the overall length after deformation with the Suo Li of damage rope;When meeting above-mentioned two mechanic equivalent condition, mechanics function of such two support cables in Cable Structure is exactly identical, if replaced with equivalent slack line after damaged cable, any change will not occur for Cable Structure, and vice versa;Those relaxation degree for being judged as slack line are tried to achieve according to foregoing mechanic equivalent condition, relaxation degree is exactly the knots modification of support cable drift, that is, the long adjustment amount of rope of those support cables that need to adjust Suo Li is determined;So it is achieved that relaxation identification and the non-destructive tests of support cable;Institute's demand power is by current cable force vector F during calculatingiCorresponding element is provided;Damaged cable and slack line are referred to as the support cable of unsoundness problem by this method, referred to as problem cable, so far the problem of this method realizes rejecting load change and the influence of generalized displacement of support, Cable Structure rope is recognized, generalized displacement of support and the change influence of support cable health status, load change amount identification are rejected while realizing;So far this method realizes accurately identifying for the health status of core evaluation object in a kind of effective, cheap method;Recognition result deviation exact value to the health status of secondary evaluation object is more, therefore not accepts and believe, and the health status of correct identification core evaluation object is required nothing more than in the method;
L. current nominal fatigue vector d is tried to achievei cAfterwards, mark vector B is set up according to formula 3i, formula 4 gives mark vector BiK-th of element definition;
Formula 3
Element B in formula 4i kIt is mark vector BiK-th of element, Di ukIt is evaluation object unit change vector Di uK-th of element, di ckIt is the current nominal fatigue vector d of evaluation objecti cK-th of element, they all represent k=1,2,3 ... ..., N in the relevant information of k-th of evaluation object, formula 4;
If m. mark vector BiElement be all 0, then return to step f continue this circulation;If mark vector BiElement be not all 0, then enter next step, i.e. step n;
N. the current initial damage vector d of evaluation object obtained next time, i.e. needed for i+1 time circulation is calculated according to formula 5i+1 oEach element;
D in formula 5i+1 okIt is the current initial damage vector d of evaluation object next time, i.e. needed for i+1 time circulationi+1 oK-th of element, di okThis, i.e. the current initial damage vector d of evaluation object of ith circulationi oK-th of element, Di ukIt is the evaluation object unit change vector D of ith circulationi uK-th of element, Bi kIt is the mark vector B of ith circulationiK-th of element, k=1,2,3 ... ..., N in formula 5;
O. in initial mechanical calculating benchmark model AoOn the basis of, first to AoIn Cable Structure bearing apply generalized displacement of support constraint, the numerical value of generalized displacement of support constraint is just derived from the numerical value of corresponding element in generalized displacement of support vector V, then makes the health status of rope for di+1 oThat obtain afterwards is exactly Mechanics Calculation benchmark model A next time, i.e. needed for i+1 time circulationi+1;Obtain Ai+1Afterwards, A is obtained by Mechanics Calculationi+1In all monitored amounts, current concrete numerical value, these concrete numerical values constitute next time, i.e. the required current initial value vector C of monitored amount of i+1 time circulationi+1 o
P. remove once, i.e. i+1 time circulates required current initial Cable Structure bearing generalized coordinates vector Ui+1 oThe current initial Cable Structure bearing generalized coordinates vector U circulated equal to ithi o
Q. step f is returned to, starts to circulate next time.
Beneficial effect:Structural healthy monitoring system is monitored on-line for a long time by using sensor to structural response first, (or offline) analysis online is carried out after acquisition Monitoring Data to it and obtains structural health conditions data, due to the complexity of structure, structural healthy monitoring system needs to use the equipment such as substantial amounts of sensor to carry out monitoring structural health conditions, therefore its cost is generally at a relatively high, therefore cost problem is a subject matter of limit structural health monitoring technique application.On the other hand, the correct identification of the health status of core evaluation object (such as suspension cable) is the indispensable part of the correct identification of structural health conditions, even its whole, and influence of the correct identification of the change of secondary evaluation object (load that such as structure is born) (such as by the change of the quality and quantity of the automobile of cable-stayed bridge) to the correct identification of the health status of Cable Structure be it is very little, it is even unwanted.But the quantity of the quantity of secondary evaluation object and core evaluation object is typically suitable, the quantity of secondary evaluation object is also frequently more than the quantity of core evaluation object, and the quantity of such evaluation object is often many times of the quantity of core evaluation object.When secondary evaluation object (load) changes, in order to accurately identify core evaluation object, the quantity of the monitored amount of conventional method requirement (being obtained using device measurings such as sensors) have to be larger than the quantity equal to evaluation object, when the secondary evaluation object changed quantity than it is larger when (practically always such), the quantity of the equipment such as the sensor required for structural healthy monitoring system is very huge, therefore the cost of structural healthy monitoring system will become very high, or even unacceptablely high.Inventor's research is found,In secondary evaluation object (such as normal load that structure is born,The normal load of structure refers to that the load that structure bearing is no more than the structure allowable load limited according to structure design book or structure completion book) change it is smaller when (be exactly that structure is only subjected only to normal load for load,Whether the load that structure is born is normal load,It can be determined by the observation of the methods such as naked eyes,If it find that the load that structure is born is not normal load,It is so artificial to remove,Remove after improper load,Structure is just solely subjected to normal load),Amplitude of variation of the amplitude of variation (this specification is called " secondary response ") of structural response caused by them much smaller than the structural response caused by the change (such as support cable is damaged) of core evaluation object (this specification is called " core response "),Secondary response responds total change that sum is structural response with core (this specification is called " global response "),Obvious core response occupies leading position in global response,Based on this,Even if inventor's research hair is chosen when now determining that monitored amount quantity is slightly larger than core evaluation object quantity,But much smaller than the numerical value of evaluation object quantity (this method is exactly so to do),Even if that is using equipment such as the relatively few many sensors of quantity,Still the state of health data of core evaluation object can accurately be obtained,Meet the core demand of structural health conditions monitoring,Therefore cost of the cost of the structural healthy monitoring system proposed by this method apparently than the structural healthy monitoring system required by conventional method is much lower,That is this method can realize the assessment of the health status to the core evaluation object of Cable Structure with the much lower condition of cost,This benefit is that can structural health monitoring technology be used is very important.
Embodiment
Illustrate what is be substantially merely exemplary below the embodiment of this method, and purpose is never to limit the application of this method or used.
The first step:First confirm that the quantity for the load that the possibility that Cable Structure is born changes.The characteristics of load born according to Cable Structure, confirmation wherein " is possible to the load changed ", or all load is considered as " being possible to the load changed ", if the shared JZW load that may be changed, that is, have JZW secondary evaluation objects.
If the quantity sum of the quantity and JZW " being possible to the load changed " of the support cable of Cable Structure is N, that is, have N number of evaluation object.Evaluation object serial number is given, the numbering will be used to generate vector sum matrix in subsequent step.
Monitored multiclass parameter can include:Suo Li, strain, angle and space coordinate, are described below respectively:
If having Q root support cables in cable system, that is, have a Q core evaluation object, the monitored rope force data of the Cable Structure M in Cable Structure1The M of individual specified rope1Individual rope force data is described, and Cable Structure Suo Li change is exactly the Suo Li of all specified ropes change.M is had every time1Individual cable force measurement value or calculated value characterize the rope force information of Cable Structure.M1It is an integer not less than 0.
The monitored strain data of Cable Structure can in Cable Structure K2The L of individual specified point and each specified point2The strain of individual assigned direction is described, and the change of Cable Structure strain data is exactly K2The change of all tested strains of individual specified point.M is had every time2(M2=K2×L2) individual strain measurement value or calculated value characterize Cable Structure strain.M2It is an integer not less than 0.
The monitored angle-data of Cable Structure K in Cable Structure3Individual specified point, excessively each specified point L3The H of individual specified straight line, each specified straight line3Individual angle coordinate component is described, and the change of Cable Structure angle is exactly change of all specified points, all specified straight lines, all angle coordinate components specified.M is had every time3(M3=K3×L3×H3) individual angle coordinate component measurement value or calculated value characterize the angle information of Cable Structure.M3It is an integer not less than 0.
The monitored shape data of Cable Structure K in Cable Structure4The L of individual specified point and each specified point4The space coordinate of individual assigned direction is described, and the change of Cable Structure shape data is exactly K4The change of all coordinate components of individual specified point.M is had every time4(M4=K4×L4) individual coordinates measurements or calculated value characterize Cable Structure shape.M4It is an integer not less than 0.
The monitored amount of summary, whole Cable Structure has M (M=M1+M2+M3+M4) individual monitored amount, define parameter K (K=M1+K2+K3+K4), the quantity that M cannot be less than core evaluation object plus 4, and M is less than the quantity of evaluation object.
For convenience, " monitored all parameters of Cable Structure " are referred to as in the method " monitored amount ".To M monitored amount serial numbers, the numbering will be used to generate vector sum matrix in subsequent step.This method represents this numbering, j=1,2,3 ..., M with variable j.
Second step:Set up initial mechanical calculating benchmark model Ao
When Cable Structure is completed, or before health monitoring systems are set up, the initial value for all monitored amounts for obtaining Cable Structure, the monitored amount initial value vector C of composition are calculated using conventional method direct measuremento;The physical parameter (such as density) and mechanical property parameters (such as modulus of elasticity, Poisson's ratio) of various materials used in Cable Structure are obtained using conventional method (consult reference materials or survey) simultaneously.
While surveying or consulting reference materials the physical and mechanical properties parameter for obtaining various materials used in Cable Structure, support cable initial elastic modulus vector E is constituted using the modulus of elasticity data of support cable thereino;While surveying or consulting reference materials the physical and mechanical properties parameter for obtaining various materials used in Cable Structure, direct measurement calculates the Initial cable force for obtaining all support cables, composition Initial cable force vector Fo;According to include the data including Cable Structure design data, completion data obtain all support cables free state i.e. Suo Li be 0 when length, in free state when cross-sectional area and the unit length in free state weight, successively composition support cable initial drift vector lo, initial free cross-sectional area vector AoWith the weight vector ω of initial free unit lengtho, support cable initial elastic modulus vector Eo, support cable initial drift vector lo, initial free cross-sectional area vector AoWith the weight vector ω of initial free unit lengthoElement coding rule and Initial cable force vector FoElement coding rule it is identical.
Monitored amount initial value vector C is obtained in Actual measurementoWhile, the Actual measurement data of Cable Structure are obtained using conventional method Actual measurement.The Actual measurement data of Cable Structure, which include Non-destructive Testing Data of support cable etc., can express the measured datas such as the initial geometric data of data, Cable Structure, rope force data, draw-bar pull data, initial Cable Structure bearing generalized coordinates data, Cable Structure concentrfated load measurement data, Cable Structure distributed load measurement data, Cable Structure volume load measurement data, Cable Structure modal data, structural strain data, structural point measurement data, the structure space measurement of coordinates data of health status of rope.Initial Cable Structure bearing generalized coordinates data constitute initial Cable Structure bearing generalized coordinates vector Uo.The initial geometric data of Cable Structure can be spatial data of the spatial data plus a series of point in structure of the end points of all ropes, it is therefore intended that the geometric properties of Cable Structure are determined according to these coordinate datas.For cable-stayed bridge, if initial geometric data, which can be the spatial data of the end points of all ropes, adds the spatial data done on bridge two ends, here it is so-called bridge type data.The data and Cable Structure load measurement data that Non-destructive Testing Data using support cable etc. can express the health status of support cable set up evaluation object initial damage vector do, use doRepresent Cable Structure (with initial mechanical calculating benchmark model AoRepresent) evaluation object initial health.If during data without the Non-destructive Testing Data of support cable and other health status that can express support cable, or can consider structure original state be not damaged without relaxed state when, vectorial doIn each element numerical value related to support cable take 0, if doThe corresponding evaluation object of some element be to take d in some load, this methodoThe element numerical value be 0, the initial value for representing the change of this load is 0.Utilize the physical and mechanical properties parameter of various materials used in the design drawing of Cable Structure, the measured data of as-built drawing and initial Cable Structure, the Non-destructive Testing Data of support cable, Cable Structure and initial Cable Structure bearing generalized coordinates vector Uo, initial mechanical calculating benchmark model A is set up using mechanics method (such as FInite Element)o
No matter which kind of method to obtain initial mechanical calculating benchmark model A witho, based on AoCalculate obtained Cable Structure calculate data must closely its measured data, error typically cannot be greater than 5%.So can utility AoSuo Li under analog case obtained by calculating calculates that data, strain calculation data, Cable Structure shapometer count evidence and displacement meter counts evidence, Cable Structure angle-data, Cable Structure spatial data etc., measured data when reliably truly occurring close to institute's analog case.Model AoThe health status of middle support cable evaluation object initial damage vector doRepresent, model AoMiddle bearing generalized coordinates vector UoRepresent.Due to based on AoThe initial value (actual measurement is obtained) for obtaining the evaluations of all monitored amounts closely all monitored amounts is calculated, so A can also be used inoOn the basis of, carry out Mechanics Calculation obtain, AoEach monitored amount the monitored amount initial value vector C of evaluation compositiono.Corresponding to AoEvaluation object health status evaluation object initial damage vector doRepresent;Corresponding to AoAll monitored amounts initial value with monitored amount initial value vector CoRepresent.Corresponding to AoCable Structure bearing generalized coordinates data with initial Cable Structure bearing generalized coordinates vector UoRepresent;UoAnd doIt is AoParameter, CoBy AoMechanics Calculation result composition.
3rd step:In the method, alphabetical i is in addition to the place for clearly indicating that number of steps, and alphabetical i only represents that cycle-index, i.e. ith are circulated;Ith circulation needs the current initial mechanical calculating benchmark model of Cable Structure setting up or having set up to be designated as current initial mechanical calculating benchmark model A when startingi o;Current initial mechanical calculating benchmark model A that ith circulation needs when starting, corresponding to Cable Structurei oThe current initial Cable Structure bearing generalized coordinates vector U of Cable Structure bearing generalized coordinates data compositioni o, the current initial mechanical calculating benchmark model A of Cable Structure is set up for the first timei oWhen, Ui oIt is equal to Uo.The current initial damage vector of evaluation object that ith circulation needs when starting is designated as di o, di oRepresent Cable Structure A during this time circulation beginningi oEvaluation object health status, di oDefinition mode and doDefinition mode it is identical, di oElement and doElement correspond;When ith circulation starts, the initial value of all monitored amounts, with the current initial value vector C of monitored amounti oRepresent, vectorial Ci oDefinition mode and vector CoDefinition mode it is identical, Ci oElement and CoElement correspond, be monitored the current initial value vector C of amounti oRepresent to correspond to Ai oAll monitored amounts concrete numerical value;Ui oAnd di oIt is Ai oCharacterisitic parameter;Ci oBy Ai oMechanics Calculation result composition;When circulation starts for the first time, Ai oIt is designated as A1 o, set up A1 oMethod to make A1 oEqual to Ao;When circulation starts for the first time, Ui oIt is designated as U1 o, set up U1 oMethod to make U1 oEqual to Uo;When circulation starts for the first time, di oIt is designated as d1 o, set up d1 oMethod to make d1 oEqual to do;When circulation starts for the first time, Ci oIt is designated as C1 o, set up C1 oMethod to make C1 oEqual to Co
4th step:The hardware components of cable structure health monitoring system are installed.Hardware components at least include:Monitored amount monitoring system (such as subsystem containing angular surveying, cable force measurement subsystem, strain measurement subsystem, space coordinate measurement subsystem, signal conditioner), Cable Structure bearing generalized coordinates monitoring system (containing total powerstation, angle measuring sensor, signal conditioner etc.), support cable cable force monitoring system, space coordinate monitoring system, signal (data) collector, computer and the communication alert equipment of the supporting end points of support cable.Each monitored amount, the Suo Li of each support cable, the space coordinate of the supporting end points of each support cable, the bearing generalized coordinates of each Cable Structure must be monitored system monitoring and arrive, and the signal monitored is transferred to signal (data) collector by monitoring system;Signal is delivered to computer through signal picker;Computer is then responsible for the health monitoring software of the evaluation object of operation Cable Structure, including the signal that the transmission of tracer signal collector comes;When monitoring that evaluation object health status is changed, computer control communication warning device is alarmed to monitoring personnel, owner and (or) the personnel specified.
5th step:Establishment and the on computers system software of installation and operation this method, the software will complete the functions (all work that can be completed with computer i.e. in this specific implementation method) such as monitoring, record, control, storage, calculating, notice, alarm that this method required by task is wanted.
6th step:Thus step starts the cycle over running, during structure military service, and continuous Actual measurement obtains the currency of all monitored amounts in Cable Structure, all these monitored amount current value vector C of numerical value compositioni, vectorial CiDefinition mode and vector CoDefinition mode it is identical, CiElement and CoElement correspond, represent identical monitored amount in numerical value not in the same time.
Monitored amount current value vector C is obtained in actual measurementiWhile, actual measurement obtains Cable Structure bearing generalized coordinates current data, all data composition current cable structure actual measurement bearing generalized coordinates vector Ui
Monitored amount current value vector C is obtained in actual measurementiSynchronization, actual measurement obtains the rope force datas of all Q roots support cables in Cable Structure, all these rope force datas composition current cable force vector Fi, vectorial FiElement and vector FoElement coding rule it is identical;Monitored amount current value vector C is obtained in actual measurementiSynchronization, Actual measurement obtains the space coordinate of two supporting end points of all Q roots support cables, the difference of the space coordinate component in the horizontal direction of two supporting end points is exactly two supporting end points horizontal ranges, and two supporting end points horizontal range data of all Q roots support cables constitute the current supporting end points horizontal range vector of support cables two li x, the current supporting end points horizontal range vector of support cable two li xElement coding rule and Initial cable force vector FoElement coding rule it is identical.
7th step:Obtaining current Cable Structure actual measurement bearing generalized coordinates vector UiAfterwards, U is comparediAnd Ui oIf, UiEqual to Ui o, then need not be to Ai o、Ci oAnd Ui oIt is updated, otherwise needs to current initial mechanical calculating benchmark model Ai o, current initial Cable Structure bearing generalized coordinates vector Ui oWith monitored amount current initial value vector Ci oIt is updated, and the current initial damage vector d of evaluation objecti oKeep constant, update method follows these steps a to step c progress:
A. U is calculatediWith UoDifference, UiWith UoDifference be exactly generalized displacement of support of the Cable Structure bearing on initial position, represent generalized displacement of support with generalized displacement of support vector V, V is equal to UiSubtract Uo, it is the generalized displacement that the numerical value of an element in one-to-one relationship, generalized displacement of support vector V corresponds to an assigned direction of a specified bearing between the element and generalized displacement of support component in generalized displacement of support vector V.
B. to AoIn Cable Structure bearing apply generalized displacement of support constraint, the numerical value of generalized displacement of support constraint is just derived from the numerical value of corresponding element in generalized displacement of support vector V, to AoIn Cable Structure bearing apply the current initial mechanical calculating benchmark model A that is updated after generalized displacement of support constrainti o, update Ai oWhile, Ui oAll elements numerical value also uses UiAll elements numerical value correspondence is replaced, that is, have updated Ui o, thus obtained properly corresponding to Ai oUi o, now di oKeep constant;As renewal Ai oAfterwards, Ai oRope the health status current initial damage vector d of evaluation objecti oRepresent, Ai oBearing generalized coordinates with current initial Cable Structure bearing generalized coordinates vector Ui oRepresent.
C. C is updatedi oMethod be:As renewal Ai oAfterwards, A is obtained by Mechanics Calculationi oIn all monitored amounts, current concrete numerical value, these concrete numerical values composition Ci o
8th step:In current initial mechanical calculating benchmark model Ai oOn the basis of, Mechanics Calculation several times is carried out according to step a to step d, unit damage monitored numerical quantity transformation matrices Δ C is set up by calculatingiWith evaluation object unit change vector Di u
A. when ith circulates beginning, method obtains Δ C directly as listed by step b to step diAnd Di u;At other moment, when in the 7th step to Ai oAfter being updated, it is necessary to which the method as listed by step b to step d regains Δ CiAnd Di uIf, not to A in the 7th stepi oIt is updated, then is directly transferred to the 9th step here and carries out follow-up work.
B. in current initial mechanical calculating benchmark model Ai oOn the basis of carry out Mechanics Calculation several times, vectorial di oRepresent Ai oEvaluation object health status, calculation times are numerically equal to the quantity N of all evaluation objects, have N number of assessment object just to have n times calculating;Calculate each time and assume only one of which evaluation object in vectorial di oUnit damage or load unit change occur on the basis of the health status of the evaluation object of expression, if specifically, the evaluation object is a support cable in cable system, then it is assumed that the support cable is in vectorial di oThe support cable represented has unit damage (for example taking 5%, 10%, 20% or 30% equivalent damage to be damaged for unit) again on the basis of having damaged, if the evaluation object is a load, it is assumed that the load is in vectorial di oLoad unit is further added by the basis of the existing variable quantity of the load represented to change (if the load is distributed load, and the distributed load is line distributed load, load unit change can take 1kN/m, 2kN/m, 3kN/m or 1kNm/m, 2kNm/m, 3kNm/m etc. to change for unit;If the load is distributed load, and the distributed load is EDS maps load, and load unit change can take 1MPa, 2MPa, 3MPa or 1kNm/m2、2kNm/m2、3kNm/m2Change Deng for unit;If the load is concentrfated load, and the concentrfated load is couple, and load unit change can take 1kNm, 2kNm, 3kNm etc. to change for unit;If the load is concentrfated load, and the concentrfated load is concentrated force, and load unit change can take 1kN, 2kN, 3kN etc. to change for unit;If the load is volume load, load unit change can take 1kN/m3、2kN/m3、3kN/m3Change Deng for unit), use Di ukThis unit damage or load unit change are recorded, wherein k represents the numbering for occurring unit damage or the evaluation object of load unit change, Di ukIt is evaluation object unit change vector Di uAn element, evaluation object unit change vector Di uElement coding rule and vector doElement coding rule it is identical;The evaluation object for occurring unit damage or load unit change in calculating each time is different from the evaluation object for occurring unit damage or load unit change in other calculating, the current calculated value for all monitored amounts that Cable Structure is all calculated using mechanics method is calculated each time, and the current calculated value that obtained all monitored amounts are calculated each time constitutes a monitored amount calculation current vector;When assuming that k-th of evaluation object has unit damage or load unit change, C can be usedi tkRepresent corresponding " monitored amount calculation current vector ";When in this step to each vectorial element number, same coding rule should be used with other vectors in this method, to ensure any one element in this step in each vector, with other vectors, numbering identical element, same monitored amount or the relevant information of same target are expressed;Ci tkDefinition mode and vector CoDefinition mode it is identical, Ci tkElement and CoElement correspond.
C. obtained vectorial C is calculated each timei tkSubtract vectorial Ci oA vector is obtained, then the unit damage or load unit that assume in each element of the vector divided by this calculating are changed into numerical value Di uk" numerical value change vector δ C for monitored amount is obtained afterwardsi k”;There is N number of evaluation object just to have N number of " the numerical value change vector of monitored amount ".
D. " the unit damage monitored numerical quantity transformation matrices Δ C for having N to arrange is constituted successively according to the coding rule of N number of evaluation object by this N number of " numerical value change vector of monitored amount "i”;Unit damage monitored numerical quantity transformation matrices Δ CiEach row correspond to a monitored amount unit change vector;Unit damage monitored numerical quantity transformation matrices Δ CiEvery a line correspond to same monitored amount different evaluation objects increase unit damage or load unit change when different unit change amplitudes;Unit damage monitored numerical quantity transformation matrices Δ CiRow coding rule and vector doElement coding rule it is identical, unit damage monitored numerical quantity transformation matrices Δ CiRow coding rule and M monitored amounts coding rules it is identical.
9th step:Set up linear relationship error vector eiWith vectorial gi.Utilize data (" the monitored current initial value vector C of amount abovei o", " unit damage monitored numerical quantity transformation matrices Δ Ci"); while the 8th step is calculated each time; i.e. while the increase unit damage for assuming only one of which evaluation object in evaluation object or load unit change is calculated each time; when assuming that kth (k=1,2,3; ...; N) individual evaluation object increase unit damage or during load unit change, one injury vector of composition is calculated each time, d is usedi tkThe injury vector is represented, corresponding monitored amount calculation current vector is Ci tk(referring to the 8th step), injury vector di tkElement number be equal to evaluation object quantity, vectorial di tkAll elements in only one of which element numerical value take each time calculate in assume increase unit damage or load unit change evaluation object unit damage or load unit changing value, di tkThe numerical value of other elements take 0, that for 0 element evaluation object of the numbering with assuming increase unit damage or load unit change corresponding relation, with the elements of the same numberings of other vectors with the corresponding relation of the evaluation object be identical;di tkWith evaluation object initial damage vector doElement number rule it is identical, di tkElement and doElement be one-to-one relationship.By Ci tk、Ci o、ΔCi、di tkBring formula (1) into, obtain a linear relationship error vector ei k, calculate obtain a linear relationship error vector e each timei k;ei kSubscript k represent the individual evaluation object increase unit damage of kth (k=1,2,3 ..., N) or load unit change.There is N number of evaluation object just to have n times calculating, just there is N number of linear relationship error vector ei k, by this N number of linear relationship error vector ei kA vector is obtained after addition, is exactly final linear relationship error vector e by the new vector obtained after each element divided by N of this vectori.Vectorial giEqual to final error vector ei.By vectorial giOn the hard disc of computer for being stored in operation health monitoring systems software, used for health monitoring systems software.
Tenth step:Define current nominal fatigue vector di cWith currently practical injury vector di, di cAnd diElement number be equal to evaluation object quantity, di cAnd diElement and evaluation object between be one-to-one relationship, di cAnd diElement numerical value represent correspondence evaluation object degree of injury or load change degree, di cAnd diWith evaluation object initial damage vector doElement number rule it is identical, di cElement, diElement and doElement be one-to-one relationship.
11st step:According to monitored amount current value vector CiWith " the monitored current initial value vector C of amounti o", " unit damage monitored numerical quantity transformation matrices Δ Ci" and " current nominal fatigue vector di c" between the linear approximate relationship that exists, the linear approximate relationship can be expressed as formula (2), current nominal fatigue vector d calculated according to multi-objective optimization algorithmi cNoninferior solution, that is, position and its solution of nominal fatigue degree of damaged cable can be determined with reasonable error but relatively accurately from all ropes.
The Objective Programming (GoalAttainmentMethod) in multi-objective optimization algorithm etc. can be used to solve current nominal fatigue vector di c, according to Objective Programming, it is a real number that formula (2), which can convert γ in an accepted way of doing sth (3) and the multi-objective optimization question shown in formula (4), formula (3), and R is real number field, and area of space Ω limits vectorial di cEach element span.Formula (3) means one minimum real number γ of searching so that formula (4) is met.G (d in formula (4)i c) defined by formula (5), G (d in weighing vector W and γ product representation formula (4) in formula (4)i c) and vector giBetween the deviation that allows.Vector W can be with vectorial g during actual calculatingiIt is identical.The specific programming realization of Objective Programming has had general program directly to use.Can be in the hope of current nominal fatigue vector d using Objective Programmingi c
12nd step:According to the currently practical injury vector d of cable systemiDefinition (see formula (6)) and its element definition (see formula (7)) calculate obtain currently practical injury vector diEach element, so as to by diDetermine the health status of evaluation object.Currently practical injury vector diK-th of element di kRepresent the currently practical health status of k-th of evaluation object in ith circulation.
D in formula (6)i k(i=1,2,3 ...;K=1,2,3 ... ..., N) represent ith circulation in k-th of evaluation object currently practical health status, formula (7) is shown in its definition, if the evaluation object is a support cable (or pull bar) in cable system, then di kRepresent its currently practical damage, di kFor 0 when represent not damaged, represent that the support cable thoroughly loses bearing capacity when being 100%, represented when between 0 and 100% lose corresponding proportion bearing capacity;If the evaluation object is a load, then di kRepresent the currently practical change numerical value of its corresponding load, vectorial diElement coding rule and formula (1) in vector doElement coding rule it is identical.
D in formula (7)i ok(i=1,2,3,4 ...;K=1,2,3 ..., N) it is the current initial damage vector d of evaluation objecti oK-th of element, di ckIt is the current nominal fatigue vector d of evaluation objecti cK-th of element.
di kThe currently practical health status of k-th of evaluation object in ith circulation is represented, if the evaluation object is a support cable in cable system, then di kRepresent its currently practical damage, di kFor 0 when represent its corresponding support cable without health problem, di kNumerical value represents that its corresponding support cable is the support cable of unsoundness problem when not being 0, and the support cable of unsoundness problem is probably slack line, is also likely to be damaged cable, the degree of the relaxation of its numerical response or damage.
di kThe currently practical health status of k-th of evaluation object in ith circulation is represented, if the evaluation object is a load, then di kRepresent its currently practical load change numerical value.
By the currently practical injury vector d of evaluation objectiIn the Q element related to support cable take out, the currently practical injury vector d of composition support cableci, the currently practical injury vector d of support cableciElement coding rule and Initial cable force vector FoElement coding rule it is identical.The currently practical injury vector d of support cableciH-th of element representation Cable Structure in h root support cables currently practical amount of damage, h=1,2,3 ... ..., Q;The currently practical injury vector d of support cableciMiddle numerical value does not correspond to the support cable of unsoundness problem for 0 element, damaged cable is identified from the support cable of these unsoundness problems, remaining is exactly slack line.The method for distinguishing that reflects is varied; can be by the protective layer of the support cable for removing unsoundness problem; support cable is visually differentiated; or visually differentiated by optical imaging apparatus; it can also differentiate by the way that whether lossless detection method is impaired to support cable, ultrasonic examination is exactly a kind of now widely used lossless detection method.Those do not find that damage, unsoundness problem support cable is exactly that there occurs loose rope after discriminating, exactly need to adjust Suo Li rope, are exactly slack line, these need to adjust Suo Li rope in the currently practical injury vector d of support cableciIn corresponding element numerical value (such as one of element can use dci hRepresent) degree of injury with the relaxation degree mechanic equivalents of these support cables is represented, slack line is thus determined that, the computational methods of specific slack illustrate below.Support cable currently practical injury vector d corresponding with damaged cableciIn element numerical expression be the damaged cable currently practical damage, element numerical value be 100% when represent that the support cable thoroughly loses bearing capacity, represented when between 0 and 100% lose corresponding proportion bearing capacity;According to the currently practical injury vector d of support cableci, identified from the support cable of unsoundness problem after slack line, remaining is exactly damaged cable, these damaged cables are in the currently practical injury vector d of support cableciIn the numerical value of corresponding element mean that its degree of injury, the numerical value of corresponding element represents that the support cable thoroughly loses bearing capacity when being 100%, represent that the support cable loses the bearing capacity of corresponding proportion when between 0 and 100%, so far just have identified damaged cable and its degree of injury.
Utilize the currently practical injury vector d of support cableciThe currently practical equivalent damage degree with its degree mechanic equivalent that relaxes of the slack line of expression, monitored amount current value vector C is obtained using in the 6th step, in actual measurementiSynchronization obtain current cable force vector FiWith current support cable two supporting end points horizontal range vector li x, (can also set up the initial mechanical calculating benchmark model A of Cable Structure using in second step, while surveying or consulting reference materials the physical and mechanical properties parameter for obtaining various materials used in Cable StructureoSynchronization) obtain support cable initial elastic modulus vector Eo, support cable initial drift vector lo, initial free cross-sectional area vector AoWith the weight vector ω of initial free unit lengthoUtilize the physical and mechanical properties parameter of various materials used in the Cable Structure obtained in second step, calculated by the way that slack line is carried out into mechanic equivalent with damaged cable slack line, with the equivalent relaxation degree of currently practical equivalent damage degree, specifically can according to formula (8) or formula (9) can in the hope of these ropes relaxation degree (i.e. the long adjustment amount of rope).So it is achieved that the relaxation identification of support cable.So far damaged cable and slack line all just are identified.
E in formula (8) and formula (9)ohIt is to set up the initial mechanical calculating benchmark model A of Cable StructureoSynchronization, the modulus of elasticity of h root support cables, AohIt is to set up the initial mechanical calculating benchmark model A of Cable StructureoSynchronization, the cross-sectional area of h root support cables, ωohIt is to set up the initial mechanical calculating benchmark model A of Cable StructureoSynchronization, the weight of the unit length of h root support cables, lohIt is to set up the initial mechanical calculating benchmark model A of Cable StructureoSynchronization, the drift of h root support cables, E in Cable StructureohIt is vectorial EoH-th of element, be to set up the initial mechanical calculating benchmark model A of Cable StructureoSynchronization, the modulus of elasticity of h root support cables, F in Cable Structurei hIt is to obtain monitored amount current value vector C in actual measurementiSynchronization, the current cable power of h root support cables, dci hIt is the currently practical degree of injury of h root support cables, li xhIt is to obtain monitored amount current value vector C in actual measurementiSynchronization, the horizontal range of two of h root support cables supporting end points, li xhIt is the current supporting end points horizontal range vector of support cable two li xAn element, current support cable two supporting end points horizontal range vector li xElement coding rule and initial drift vector loElement coding rule it is identical.Item in formula (9) in [] is the Ernst equivalent elastic modulus of the support cable, and the vectorial Δ l of support cable current slack degree can be assured that by formula (8) or formula (9)i.Formula (9) is the amendment to formula (8).
So according to the currently practical injury vector d of evaluation objectiProblem cable and its health degree are can determine, it is determined that there is which load to be changed and its numerical value.
So far this method realizes accurately identifying for the health status of core evaluation object in a kind of effective, cheap method.It may deviate the recognition result of the health status of secondary evaluation object that exact value is more, the health status of correct identification core evaluation object is required nothing more than in the method.
13rd step:Computer in health monitoring systems is periodically automatic or generates cable system health condition form by human users' health monitoring systems.
14th step:Under specified requirements, the computer in health monitoring systems is automatically brought into operation communication alert equipment and alarmed to monitoring personnel, owner and (or) the personnel specified.
15th step:Set up mark vector Bi, formula (11) gives mark vector BiK-th of element definition;If mark vector BiElement be all 0, then return to the 6th step and proceed health monitoring and calculating to cable system;If mark vector BiElement be not all 0, then complete after subsequent step, into circulating next time.
Mark vector B in formula (10)iSubscript i represent ith circulate, its element Bi kThe subscript k of (k=1,2,3 ..., N) represents the health status feature of k-th of evaluation object, can only take 0 and 1 two amount, and specific value rule is shown in formula (21).
Element B in formula (11)i kIt is mark vector BiK-th of element, Di ukIt is evaluation object unit change vector Di uK-th of element, di ckIt is the current nominal fatigue vector d of evaluation objecti cK-th of element, they all represent the relevant information of k-th of evaluation object.
16th step:The initial damage vector d obtained next time needed for (i.e. i+1 time, i=1,2,3,4 ...) circulation is calculated according to formula (12)i+1 oEach element di+1 ok(k=1,2,3 ..., N);Second, in initial mechanical calculating benchmark model AoOn the basis of, to AoIn Cable Structure bearing apply generalized displacement of support constraint, the numerical value of generalized displacement of support constraint is just derived from the numerical value of corresponding element in generalized displacement of support vector V, then makes the health status of rope for di+1 oThat obtain afterwards is exactly Mechanics Calculation benchmark model A next time, i.e. needed for i+1 time (i=1,2,3,4 ...) circulationi+1;Current initial Cable Structure bearing generalized coordinates vector U needed for (i.e. i+1 time, i=1,2,3,4 ...) is circulated next timei+1 oEqual to Ui o.Obtain Ai+1、di+1 oAnd Ui+1 oAfterwards, A is obtained by Mechanics Calculationi+1In all monitored amounts, current concrete numerical value, these concrete numerical values constitute next time, i.e. the required current initial value vector C of monitored amount of i+1 time circulationi+1 o
D in formula (12)i ukIt is evaluation object unit change vector Di uK-th of element, di okIt is the current initial damage vector d of evaluation objecti oK-th of element.
17th step:The 6th step is returned to, starts the circulation by the 6th step to the 17th step.

Claims (1)

1. simplify generalized displacement hybrid monitoring loading problem rope progressive-type recognition method, it is characterised in that methods described includes:
A. when though the load that Cable Structure is born is changed, during initial without departing from the Cable Structure allowable load of the load that Cable Structure is being born, this method is applicable;The initial allowable load of Cable Structure refers to allowable load of the Cable Structure in completion, can be obtained by conventional Mechanics Calculation;This method unitedly calls evaluated support cable and load is " evaluation object ", if the evaluated quantity of support cable and the quantity sum of load is that N, the i.e. quantity of " evaluation object " are N;This method refers exclusively to the evaluated support cable in " evaluation object " with title " core evaluation object ", and this method refers exclusively to the evaluated load in " evaluation object " with title " secondary evaluation object ";The coding rule of evaluation object is determined, is numbered evaluation object all in Cable Structure by this rule, the numbering will be used to generate vector sum matrix in subsequent step;This method represents this numbering, k=1,2,3 ..., N with variable k;The support cable by monitored Suo Li specified during hybrid monitoring is determined, if having Q root support cables in cable system, that is, a Q core evaluation object is had, the monitored rope force data of the Cable Structure M in Cable Structure1The M of individual specified support cable1Individual rope force data is described, and Cable Structure Suo Li change is exactly the Suo Li of all specified support cables change;M is had every time1Individual cable force measurement value or calculated value characterize the rope force information of Cable Structure;M1It is an integer for being not more than Q not less than 0;Determine the measured point by monitored strain specified during hybrid monitoring, the monitored strain data of Cable Structure can in Cable Structure K2The L of individual specified point and each specified point2The strain of individual assigned direction is described, and the change of Cable Structure strain data is exactly K2The change of all tested strains of individual specified point;M is had every time2Individual strain measurement value or calculated value strain to characterize Cable Structure, M2For K2And L2Product;M2It is no less than 0 integer;Determine the measured point by monitored angle specified during hybrid monitoring, the monitored angle-data of the Cable Structure K in Cable Structure3Individual specified point, excessively each specified point L3The H of individual specified straight line, each specified straight line3Individual angle coordinate component is described, and the change of Cable Structure angle is exactly change of all specified points, all specified straight lines, all angle coordinate components specified;M is had every time3Individual angle coordinate component measurement value or calculated value characterize the angle information of Cable Structure, M3For K3、L3And H3Product;M3It is an integer not less than 0;The shape data that will be monitored for determining to specify during hybrid monitoring, the monitored shape data of the Cable Structure K in Cable Structure4The L of individual specified point and each specified point4The space coordinate of individual assigned direction is described, and the change of Cable Structure shape data is exactly K4The change of all coordinate components of individual specified point;M is had every time4Individual coordinates measurements or calculated value characterize Cable Structure shape, M4For K4And L4Product;M4It is an integer not less than 0;The monitored amount of summary hybrid monitoring, whole Cable Structure has M monitored amounts, and M is M1、M2、M3And M4Sum, it is M to define parameter K, K1、K2、K3And K4Sum, M have to be larger than the quantity of core evaluation object, and M is less than the quantity of evaluation object;For convenience, listed M monitored amount of this step is referred to as " monitored amount " in the method;The external force that object, structure are born can be described as load, and load includes face load and volume load;Face load is also known as surface load, is the load for acting on body surface, including two kinds of concentrfated load and distributed load;Volume load is the continuously distributed load in interior of articles each point, including the deadweight of object and inertia force;Concentrfated load is divided into two kinds of concentrated force and concentrated couple, including in the coordinate system including Descartes's rectangular coordinate system, one concentrated force can resolve into three components, same, one concentrated couple can also resolve into three components, if load is actually concentrfated load, it is a load to concentrate force component or a concentrated couple component to be calculated as or count by one in the method, and the now change of load is embodied as a change for concentrating force component or a concentrated couple component;Distributed load is divided into line distributed load and EDS maps load, and the description of distributed load at least includes the zone of action of distributed load and the size of distributed load, and the size of distributed load is expressed with distribution intensity, and distribution intensity is expressed with distribution characteristics and amplitude;If load is actually distributed load, when this method talks about the change of load, actually refer to the change of the amplitude of distributed load distribution intensity, and the distribution characteristics of the zone of action of all distributed loads and distribution intensity is constant;Including in the coordinate system including Descartes's rectangular coordinate system, one distributed load can resolve into three components, if the amplitude of the respective distribution intensity of three components of this distributed load changes, and the ratio of change is not all identical, it is three distributed loads that so three components of this distributed load, which are calculated as or counted, in the method, and now a load just represents the one-component of distributed load;Volume load is the continuously distributed load in interior of articles each point, and the description of volume load at least includes the zone of action of volume load and the size of volume load, and the size of volume load is expressed with distribution intensity, and distribution intensity is expressed with distribution characteristics and amplitude;If load is actually volume load, in the method actual treatment be volume load distribution intensity amplitude change, and the distribution characteristics of the zone of action of all volume load and distribution intensity is constant, actually refer to the change of the amplitude of the distribution intensity of volume load during the change for now mentioning load in the method, now, the load changed refers to the volume load that the amplitude of those distribution intensities changes;Including in the coordinate system including Descartes's rectangular coordinate system, one individual stowage lotus can resolve into three components, if the amplitude of the respective distribution intensity of three components of this volume load changes, and the ratio of change is not all identical, then three components of this volume load are calculated as or counted as three distributed loads in the method;
B. survey or consult reference materials and obtain the physical and mechanical properties parameter of various materials used in Cable Structure;While surveying or consulting reference materials the physical and mechanical properties parameter for obtaining various materials used in Cable Structure, direct measurement calculates the Initial cable force for obtaining all support cables, composition Initial cable force vector Fo;According to include the data including Cable Structure design data, completion data obtain all support cables free state i.e. Suo Li for 0 when length, in free state when cross-sectional area and the unit length in free state weight, successively composition support cable initial drift is vectorial, the weight vector of the initial free unit length of initial free cross-sectional area vector sum, the coding rule and Initial cable force vector F of the element that initial drift is vectorial, the initial free unit length of initial free cross-sectional area vector sum weight is vectorial of support cableoElement coding rule it is identical;
C. while surveying or consulting reference materials the physical and mechanical properties parameter for obtaining various materials used in Cable Structure, direct measurement calculates the measured data for obtaining initial Cable Structure, the measured data of initial Cable Structure is to include Cable Structure concentrfated load measurement data, Cable Structure distributed load measurement data, Cable Structure volume load measurement data, the initial value of all monitored amounts, the Initial cable force data of all support cables, initial Cable Structure modal data, initial Cable Structure strain data, initial Cable Structure geometric data, initial Cable Structure bearing generalized coordinates data, initial Cable Structure angle-data, measured data including initial Cable Structure spatial data, while the measured data of initial Cable Structure is obtained, survey calculation obtains the data of the health status that can express support cable including the Non-destructive Testing Data of support cable, the data of the health status that can express support cable now are referred to as support cable initial health data;The monitored amount initial value vector C of initial value composition of all monitored amountso, it is monitored amount initial value vector CoCoding rule and M monitored amounts coding rules it is identical;Evaluation object initial damage vector d is set up using support cable initial health data and Cable Structure load measurement datao, vectorial doRepresent with initial mechanical calculating benchmark model AoThe initial health of the evaluation object of the Cable Structure of expression;Evaluation object initial damage vector doElement number be equal to N, doElement and evaluation object be one-to-one relationship, vectorial doElement coding rule it is identical with the coding rule of evaluation object;If doThe corresponding evaluation object of some element be a support cable in cable system, then doThe element numerical value represent correspondence support cable initial damage degree, if the numerical value of the element is 0, it is intact to represent the support cable corresponding to the element, do not damage, if its numerical value is 100%, then represent that the support cable corresponding to the element has completely lost bearing capacity, if its numerical value is between 0 and 100%, then it represents that the support cable loses the bearing capacity of corresponding proportion;If doThe corresponding evaluation object of some element be to take d in some load, this methodoThe element numerical value be 0, the initial value for representing the change of this load is 0;If during data without the Non-destructive Testing Data of support cable and other health status that can express support cable, or can consider structure original state be not damaged without relaxed state when, vectorial doIn each element numerical value related to support cable take 0;Initial Cable Structure bearing generalized coordinates data constitute initial Cable Structure bearing generalized coordinates vector Uo
D. the physical and mechanical properties parameter of various materials, initial Cable Structure bearing generalized coordinates vector U according to used in the design drawing of Cable Structure, the measured data of as-built drawing and initial Cable Structure, support cable initial health data, Cable Structure concentrfated load measurement data, Cable Structure distributed load measurement data, Cable Structure volume load measurement data, Cable StructureoAll Cable Structure data obtained with preceding step, set up the initial mechanical calculating benchmark model A of Cable Structureo, based on AoCalculate obtained Cable Structure calculate data must closely its measured data, difference therebetween cannot be greater than 5%;Corresponding to AoCable Structure bearing generalized coordinates data be exactly initial Cable Structure bearing generalized coordinates vector Uo;Corresponding to AoEvaluation object health status evaluation object initial damage vector doRepresent;Corresponding to AoAll monitored amounts initial value with monitored amount initial value vector CoRepresent;UoAnd doIt is AoParameter, by AoThe obtained initial value of all monitored amounts of Mechanics Calculation result and CoThe initial value of all monitored amounts represented is identical, therefore alternatively CoBy AoMechanics Calculation result composition, A in the methodo、Co、doAnd UoIt is constant;
E. in the method, alphabetical i is in addition to the place for clearly indicating that number of steps, and alphabetical i only represents that cycle-index, i.e. ith are circulated;Ith circulation needs the current initial mechanical calculating benchmark model of Cable Structure setting up or having set up to be designated as current initial mechanical calculating benchmark model A when startingi o;When ith circulation starts, corresponding to Ai o" Cable Structure bearing generalized coordinates data " with current initial Cable Structure bearing generalized coordinates vector Ui oRepresent, vectorial Ui oDefinition mode and vector UoDefinition mode it is identical, Ui oElement and UoElement correspond;The current initial damage vector of evaluation object that ith circulation needs when starting is designated as di o, di oRepresent Cable Structure A during this time circulation beginningi oEvaluation object health status, di oDefinition mode and doDefinition mode it is identical, di oElement and doElement correspond;When ith circulation starts, the initial value of all monitored amounts, with the current initial value vector C of monitored amounti oRepresent, vectorial Ci oDefinition mode and vector CoDefinition mode it is identical, Ci oElement and CoElement correspond, be monitored the current initial value vector C of amounti oRepresent to correspond to Ai oAll monitored amounts concrete numerical value;Ui oAnd di oIt is Ai oCharacterisitic parameter, Ci oBy Ai oMechanics Calculation result composition;When circulation starts for the first time, Ai oIt is designated as A1 o, set up A1 oMethod to make A1 oEqual to Ao;When circulation starts for the first time, Ui oIt is designated as U1 o, set up U1 oMethod to make U1 oEqual to Uo;When circulation starts for the first time, di oIt is designated as d1 o, set up d1 oMethod to make d1 oEqual to do;When circulation starts for the first time, Ci oIt is designated as C1 o, set up C1 oMethod to make C1 oEqual to Co
F. enter from here and the circulation walked to q is walked by f;During structure military service, constantly actual measurement obtains Cable Structure bearing angular coordinate current data, and all Cable Structure bearing angular coordinate current datas constitute current Cable Structure actual measurement bearing angular coordinate vector Ui, vectorial UiDefinition mode and vector UoDefinition mode it is identical, UiElement and UoElement correspond;Vectorial U is obtained in actual measurementiWhile, actual measurement obtains the currency of all monitored amounts in Cable Structure, all these monitored amount current value vector C of numerical value compositioni, vectorial CiDefinition mode and vector CoDefinition mode it is identical, CiElement and CoElement correspond, represent identical monitored amount in numerical value not in the same time;Monitored amount current value vector C is obtained in actual measurementiSynchronization, actual measurement obtains the rope force datas of all Q roots support cables in Cable Structure, all these rope force datas composition current cable force vector Fi, vectorial FiElement and vector FoElement coding rule it is identical;Monitored amount current value vector C is obtained in actual measurementiSynchronization, Actual measurement obtains the space coordinate of two supporting end points of all Q roots support cables, the difference of the space coordinate component in the horizontal direction of two supporting end points is exactly two supporting end points horizontal ranges, two supporting end points horizontal range data of all support cables constitute the current supporting end points of support cable two horizontal range vector, the coding rule and Initial cable force vector F of the element of the current supporting end points of support cable two horizontal range vectoroElement coding rule it is identical;
G. bearing generalized coordinates vector U is surveyed according to current Cable Structurei, current initial mechanical calculating benchmark model A is updated according to step g1 to g3i o, the monitored current initial value vector C of amounti oWith current initial Cable Structure bearing generalized coordinates vector Ui o, and the current initial damage vector d of evaluation objecti oKeep constant;
G1. U is comparediWith Ui oIf, UiEqual to Ui o, then Ai o、Ci oAnd Ui oKeep constant, otherwise need to follow these steps to Ai o、Ci oAnd Ui oIt is updated;
G2. U is calculatediWith UoDifference, UiWith UoDifference be exactly generalized displacement of support of the Cable Structure bearing on initial position, represent generalized displacement of support with generalized displacement of support vector V, V is equal to UiSubtract Uo
G3. to AoIn Cable Structure bearing apply generalized displacement of support constraint, the numerical value of generalized displacement of support constraint is just derived from the numerical value of corresponding element in generalized displacement of support vector V, to AoIn Cable Structure bearing apply the current initial mechanical calculating benchmark model A that is updated after generalized displacement of support constrainti o, update Ai oWhile, Ui oAll elements numerical value also uses UiAll elements numerical value correspondence is replaced, that is, have updated Ui o, thus obtained properly corresponding to Ai oUi o, now di oKeep constant;As renewal Ai oAfterwards, Ai oRope the health status current initial damage vector d of evaluation objecti oRepresent, Ai oBearing generalized coordinates with current initial Cable Structure bearing generalized coordinates vector Ui oRepresent;Update Ci oMethod be:As renewal Ai oAfterwards, A is obtained by Mechanics Calculationi oIn all monitored amounts, current concrete numerical value, these concrete numerical values composition Ci o
H. in current initial mechanical calculating benchmark model Ai oOn the basis of, Mechanics Calculation several times is carried out according to step h1 to step h4, unit damage monitored numerical quantity transformation matrices Δ C is set up by calculatingiWith evaluation object unit change vector Di u
H1. when ith circulates beginning, method obtains Δ C directly as listed by step h2 to step h4iAnd Di u;At other moment, when in step g to Ai oAfter being updated, it is necessary to which the method as listed by step h2 to step h4 regains Δ CiAnd Di uIf, not to A in step gi oIt is updated, then is directly transferred to step i here and carries out follow-up work;
H2. in current initial mechanical calculating benchmark model Ai oOn the basis of carry out Mechanics Calculation several times, calculation times are numerically equal to the quantity N of all evaluation objects, have it is N number of assessment object just have n times calculating;According to the coding rule of evaluation object, calculated successively;Calculate each time and assume that only one of which evaluation object is further added by unit damage or load unit change on the basis of original damage or load, specifically, if the evaluation object is a support cable in cable system, it is assumed that the support cable is further added by unit damage, if the evaluation object is a load, it is assumed that the load is further added by load unit change, D is usedi ukThis increased unit damage or load unit change is recorded, wherein k represents the numbering for increasing unit damage or the evaluation object of load unit change, Di ukIt is evaluation object unit change vector Di uAn element, evaluation object unit change vector Di uElement coding rule and vector doElement coding rule it is identical;The evaluation object that unit damage or load unit change are further added by calculating each time is different from the evaluation object that unit damage or load unit change are further added by other calculating, the current calculated value for all monitored amounts that Cable Structure is all calculated using mechanics method is calculated each time, and the current calculated value that obtained all monitored amounts are calculated each time constitutes a monitored amount calculation current vector;When assuming that k-th of evaluation object is further added by unit damage or load unit change, C is usedi tkRepresent corresponding " monitored amount calculation current vector ";When in this step to each vectorial element number, same coding rule should be used with other vectors in this method, to ensure any one element in this step in each vector, with other vectors, numbering identical element, same monitored amount or the relevant information of same target are expressed;Ci tkDefinition mode and vector CoDefinition mode it is identical, Ci tkElement and CoElement correspond;
H3. obtained vectorial C is calculated each timei tkSubtract vectorial Ci oA vector is obtained, then " numerical value change vector δ a C for monitored amount will be obtained after each element of the vector divided by the assumed unit damage of this calculating or load unit change numerical valuei k”;There is N number of evaluation object just to have N number of " the numerical value change vector of monitored amount ";
H4. " the unit damage monitored numerical quantity transformation matrices Δ C for having N to arrange is constituted successively according to the coding rule of N number of evaluation object by this N number of " numerical value change vector of monitored amount "i”;Unit damage monitored numerical quantity transformation matrices Δ CiEach row correspond to a monitored amount unit change vector;Unit damage monitored numerical quantity transformation matrices Δ CiEvery a line correspond to same monitored amount different evaluation objects increase unit damage or load unit change when different unit change amplitudes;Unit damage monitored numerical quantity transformation matrices Δ CiRow coding rule and vector doElement coding rule it is identical, unit damage monitored numerical quantity transformation matrices Δ CiRow coding rule and M monitored amounts coding rules it is identical;
I. current nominal fatigue vector d is definedi cWith currently practical injury vector di, di cAnd diElement number be equal to evaluation object quantity, di cAnd diElement and evaluation object between be one-to-one relationship, di cElement numerical value represent correspondence evaluation object nominal fatigue degree or nominal load variable quantity, di cAnd diWith evaluation object initial damage vector doElement number rule it is identical, di cElement, diElement and doElement be one-to-one relationship;
J. according to monitored amount current value vector CiWith " the monitored current initial value vector C of amounti o", " unit damage monitored numerical quantity transformation matrices Δ Ci" and " current nominal fatigue vector di c" between the linear approximate relationship that exists, the linear approximate relationship can be expressed as removing d in formula 1, formula 1i cOuter other amounts are, it is known that solution formula 1 can just calculate current nominal fatigue vector di c
Formula 1
K. the currently practical injury vector d expressed using formula 2iK-th of element di kWith the current initial damage vector d of evaluation objecti oK-th of element di okWith current nominal fatigue vector di cK-th of element di ckBetween relation, calculating obtain currently practical injury vector diAll elements;
Formula 2
K=1,2,3 in formula 2 ..., N;di kThe currently practical health status of k-th of evaluation object in ith circulation is represented, if the evaluation object is a support cable in cable system, then di kThe order of severity of its current health problem is represented, the support cable of unsoundness problem is probably slack line, is also likely to be damaged cable, di kThe numerical response degree of relaxation or the damage of the support cable;Damaged cable is identified from the support cable of these unsoundness problems, remaining is exactly slack line, the currently practical injury vector d of evaluation objectiIn correspond to slack line element numerical expression be with slack line relax degree mechanic equivalent currently practical equivalent damage degree;If the evaluation object is a load, then di kRepresent the actual change amount of the load;By the currently practical injury vector d of evaluation objectiIn the Q element related to Q root support cables take out, the currently practical injury vector d of composition support cableci, the currently practical injury vector d of support cableciElement coding rule and Initial cable force vector FoElement coding rule it is identical;The currently practical injury vector d of support cableciH-th of element representation Cable Structure in h root support cables currently practical amount of damage, h=1,2,3 ... ..., Q;The currently practical injury vector d of support cableciMiddle numerical value does not correspond to the support cable of unsoundness problem for 0 element, damaged cable is identified from the support cable of these unsoundness problems, remaining is exactly slack line;Support cable currently practical injury vector d corresponding with damaged cableciIn element numerical expression be the damaged cable currently practical damage, element numerical value be 100% when represent that the support cable thoroughly loses bearing capacity, represented when between 0 and 100% lose corresponding proportion bearing capacity;Identify after slack line, utilize the currently practical injury vector d of support cableciThese slack lines, the degree that relaxed with it mechanic equivalent the currently practical equivalent damage degree of expression, utilizes current cable force vector FiEnd points horizontal range vector is supported with current support cable two, using the initial drift that the support cable obtained is walked in b is vectorial, the initial free unit length of initial free cross-sectional area vector sum weight is vectorial, Initial cable force vector FoUtilize the physical and mechanical properties parameter that various materials used in the Cable Structure of acquisition are walked in b, calculated by the way that slack line is carried out into mechanic equivalent with damaged cable slack line, with the equivalent relaxation degree of currently practical equivalent damage degree, mechanic equivalent condition is:First, two equivalent ropes without relaxation with not damaged when initial drift, geometrical property parameter, the mechanics parameters of density and material it is identical;2nd, after relaxing or damage, two equivalent slack lines are identical with the overall length after deformation with the Suo Li of damage rope;When meeting above-mentioned two mechanic equivalent condition, mechanics function of such two support cables in Cable Structure is exactly identical, if replaced with equivalent slack line after damaged cable, any change will not occur for Cable Structure, and vice versa;Those relaxation degree for being judged as slack line are tried to achieve according to foregoing mechanic equivalent condition, relaxation degree is exactly the knots modification of support cable drift, that is, the long adjustment amount of rope of those support cables that need to adjust Suo Li is determined;So it is achieved that relaxation identification and the non-destructive tests of support cable;Institute's demand power is by current cable force vector F during calculatingiCorresponding element is provided;Damaged cable and slack line are referred to as the support cable of unsoundness problem by this method, referred to as problem cable, so far the problem of this method realizes rejecting load change and the influence of generalized displacement of support, Cable Structure rope is recognized, generalized displacement of support and the change influence of support cable health status, load change amount identification are rejected while realizing;So far this method realizes accurately identifying for the health status of core evaluation object in a kind of effective, cheap method;Recognition result deviation exact value to the health status of secondary evaluation object is more, therefore not accepts and believe, and the health status of correct identification core evaluation object is required nothing more than in the method;
L. current nominal fatigue vector d is tried to achievei cAfterwards, mark vector B is set up according to formula 3i, formula 4 gives mark vector BiK-th of element definition;
Formula 3
Formula 4
Element B in formula 4i kIt is mark vector BiK-th of element, Di ukIt is evaluation object unit change vector Di uK-th of element, di ckIt is the current nominal fatigue vector d of evaluation objecti cK-th of element, they all represent k=1,2,3 ... ..., N in the relevant information of k-th of evaluation object, formula 4;
If m. mark vector BiElement be all 0, then return to step f continue this circulation;If mark vector BiElement be not all 0, then enter next step, i.e. step n;
N. the current initial damage vector d of evaluation object obtained next time, i.e. needed for i+1 time circulation is calculated according to formula 5i+1 oEach element;
Formula 5
D in formula 5i+1 okIt is the current initial damage vector d of evaluation object next time, i.e. needed for i+1 time circulationi+1 oK-th of element, di okThis, i.e. the current initial damage vector d of evaluation object of ith circulationi oK-th of element, Di ukIt is the evaluation object unit change vector D of ith circulationi uK-th of element, Bi kIt is the mark vector B of ith circulationiK-th of element, k=1,2,3 ... ..., N in formula 5;
O. in initial mechanical calculating benchmark model AoOn the basis of, first to AoIn Cable Structure bearing apply generalized displacement of support constraint, the numerical value of generalized displacement of support constraint is just derived from the numerical value of corresponding element in generalized displacement of support vector V, then makes the health status of rope for di+1 oThat obtain afterwards is exactly Mechanics Calculation benchmark model A next time, i.e. needed for i+1 time circulationi+1;Obtain Ai+1Afterwards, A is obtained by Mechanics Calculationi+1In all monitored amounts, current concrete numerical value, these concrete numerical values constitute next time, i.e. the required current initial value vector C of monitored amount of i+1 time circulationi+1 o
P. remove once, i.e. i+1 time circulates required current initial Cable Structure bearing generalized coordinates vector Ui+1 oThe current initial Cable Structure bearing generalized coordinates vector U circulated equal to ithi o
Q. step f is returned to, starts to circulate next time.
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Publication number Priority date Publication date Assignee Title
CN102706664A (en) * 2012-05-30 2012-10-03 东南大学 Damaged cable approximation identification method based on mixed monitoring of support generalized displacement and temperature change
CN103913328A (en) * 2014-03-10 2014-07-09 东南大学 Generalized displacement hybrid monitoring damaged cable load progressive identification method
CN103913338A (en) * 2014-03-10 2014-07-09 东南大学 Hybrid monitoring defective cable load generalized displacement identification method

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Publication number Priority date Publication date Assignee Title
CN102706664A (en) * 2012-05-30 2012-10-03 东南大学 Damaged cable approximation identification method based on mixed monitoring of support generalized displacement and temperature change
CN103913328A (en) * 2014-03-10 2014-07-09 东南大学 Generalized displacement hybrid monitoring damaged cable load progressive identification method
CN103913338A (en) * 2014-03-10 2014-07-09 东南大学 Hybrid monitoring defective cable load generalized displacement identification method

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