CN117589572B - Stay cable damage identification method, device, terminal and medium based on beam deflection - Google Patents
Stay cable damage identification method, device, terminal and medium based on beam deflection Download PDFInfo
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Abstract
The invention provides a stay cable damage identification method, device, terminal and medium based on beam body deflection, which comprises the following steps: acquiring a flexibility matrix formed by first deflection differences of the beam body at each anchoring point before and after the application of the moving load and first deflection differences of all the anchoring points; obtaining a second deflection difference vector formed by second deflection differences of each anchor point of the beam body when the damaged cable is in a damaged state; obtaining a relation between a total cable force change value and a flexibility matrix formed by a second flexibility difference vector and first flexibility differences of all anchor points according to a force law equation; judging whether the inhaul cable is damaged according to the total cable force change value, and judging the position of the damaged cable. According to the stay cable damage identification method based on beam deflection, related parameters are obtained through model calculation or actual measurement, the total cable force change value is obtained through a binding force equation, whether the stay cable is damaged or not is judged, the damage position is determined, and the method is simple and easy to implement and has good feasibility.
Description
Technical Field
The invention belongs to the technical field of stay cable damage identification methods, and particularly relates to a stay cable damage identification method, device, terminal and medium based on beam body deflection.
Background
As a large-span bridge, the cable-stayed bridge has strong spanning capability and mainly comprises three parts of a main girder, a guy cable and a tower column, wherein the guy cable is the most main stress member. The inhaul cable is extremely easy to corrode under the action of environment in the long-term use process, is easy to cause damage such as pitting corrosion, broken wires and the like, and can break and damage to a certain extent, so that the use safety of the bridge is seriously jeopardized.
At present, cable damage identification mainly depends on a visual inspection method and cable force detection, visual inspection is limited by environment, accuracy is poor, a cable force detection rule is difficult to implement through automatic monitoring, operation is complex, and measured parameters are extremely easy to pollute, so that damage identification accuracy is reduced.
Disclosure of Invention
The invention aims to provide a stay cable damage identification method, device, terminal and medium based on beam body deflection, which can conveniently and accurately identify whether a stay cable is damaged or not and accurately identify the position of the damaged cable.
In order to achieve the above purpose, the invention adopts the following technical scheme: the stay cable damage identification method based on beam body deflection comprises the following steps:
When all the inhaul cables are in a healthy state, moving unit load F=1 to each anchoring point 1,2, …, k, …, i, … and n of the inhaul cables and the beam body respectively, and acquiring first deflection differences of the beam body at each anchoring point 1,2, …, k, …, i, … and n before and after the moving load is applied And obtaining a first deflection difference vector/>, of the beam body at the anchoring point iAnd the compliance matrix/>, formed by the first deflection differences of all the anchor pointsWherein/>The first letter of the subscript indicates the i-th anchor point and the second letter indicates the position of action of the unit load f=1;
After a certain inhaul cable is damaged, a damaged cable is formed, an anchoring point between the damaged cable and the beam body is defined as an anchoring point k, and an anchoring point between the midspan inhaul cable and the beam body is defined as an anchoring point m; when the damaged cable is in a damaged state, a concentrated force P is applied to the m-position of the anchor point to obtain second deflection differences of the beam bodies at the 1,2, …, k, …, i, … and n-position of the anchor point before and after the damaged cable is damaged And obtaining a second deflection difference vector/>, of the beam body at each anchoring point；
Obtaining the total cable force change value according to the force law equationAnd a second deflection difference vector/>And the compliance matrix/>, formed by the first deflection differences of all the anchor pointsIs a relation of (2);
Compliance matrix formed by substituting first deflection differences of all anchoring points And a second deflection difference vector/>To obtain the total cable force variation value/>And according to the total cable force change value/>Judging whether the inhaul cable is damaged or not, and if the inhaul cable is damaged, judging the position of the damaged inhaul cable.
In one possible implementation, when all the guy wires are in a healthy state, the unit load f=1 is moved to each of the anchor points 1,2, …, k, …, i, …, n of the guy wires and the beam body, and the first deflection difference of the beam body at each of the anchor points 1,2, …, k, …, i, …, n before and after the application of the moving load is obtainedAnd obtaining a first deflection difference vector/>, of the beam body at the anchoring point iAnd compliance matrix formed by first deflection differences of all anchorage pointsComprises the following steps:
（1）
in one possible implementation manner, a damaged cable is formed after a certain cable is damaged, an anchoring point between the damaged cable and a beam body is defined as an anchoring point k, and an anchoring point between a midspan cable and the beam body is defined as an anchoring point m; when the damaged cable is in a damaged state, a concentrated force P is applied to the position of an anchor point m to obtain second deflection differences of the anchor points 1, 2, …, k, …, i, … and n before and after the damaged cable is damaged And obtaining a second deflection difference vector/>, of the beam body at each anchoring point under the action of the concentrated force P and in the two states of before and after the injury of the damaged cableComprises the following steps:
（2）
in some embodiments, the total cable force change value is obtained according to a force equation And a second deflection difference vector/>And the compliance matrix/>, formed by the first deflection differences of all the anchor pointsIn the relational step of (a):
According to the linear superposition principle, the relation among the first deflection difference of the beam body at any anchoring point i, the cable force change value at the anchoring point i and the second deflection difference of the beam body at the anchoring point i is as follows:
（3）；
Writing formula (3) into a matrix form:
（4）；
wherein, For the cable force variation before and after cable damage connected with the anchoring point 1,/>The cable force variation before and after cable damage is connected with the anchoring point k; /(I)For the cable force variation before and after the cable connected with the anchoring point k is damaged,The expression is the included angle/>, between the inhaul cable and the main beam, which are connected with the anchoring point iSine value of/>The expression is the included angle/>, between the inhaul cable and the main beam, which are connected with the anchoring point nSine value of/>The expression is the included angle/>, between the inhaul cable and the main beam, which are connected with the anchoring point kIs a sine value of (c).
In some embodiments, after the step of writing equation (3) into a matrix form:
writing equation (4) into vector form:
（5）；
solving to obtain a total cable force change value:
（6）；
In one possible implementation, a first deflection difference of the beam body at each of the anchor points 1,2, …, k, …, i, …, n before and after the application of the moving load is obtained The method comprises the following steps:
obtaining a first deflection difference of the beam body at the anchoring point n according to a formula (7) To give a first deflection difference/>The first deflection difference that brings all the anchor points forms a compliance matrix,
（7）
Wherein,Indicating the deflection value of the beam body at the anchoring point i when the unit load F=1 moves to the anchoring point n under the healthy state of all the inhaul cables,/>When the unit force F=1 acts on the anchoring point n and the first deflection difference of the beam body at the anchoring point i is expressed when all the inhaul cables are in a healthy state, the first deflection difference is expressed by the ratio of the unit force F=1 to the first deflection differenceWhen all the inhaul cables are in a healthy state, the initial deflection value of the beam body at the anchoring point i is shown;
Obtaining second deflection differences of the beam bodies at the anchor points 1,2, …, k, …, i, … and n before and after the damaged cable is damaged In the step, the second deflection difference/>, of the beam body at the anchoring point k is obtained according to the formula (8)，
（8）；
Wherein,When the concentrated force P acts on the anchoring point m, the second deflection difference of the beam body at the anchoring point k in two states before and after the damaged cable is damaged is expressed, and the ratio of the second deflection difference to the second deflection is/isRepresenting the deflection value of the beam body at the anchoring point k under the action of the concentrated force P when the damaged cable is in a damaged state,/>And when all the inhaul cables are in a healthy state, the initial deflection value of the beam body at the anchoring point k is shown.
In one possible implementation, the compliance matrix is formed from the first deflection differences of all anchor pointsAnd a second deflection difference vector/>Obtaining the total cable force variation value/>And according to the total cable force change value/>Judging whether the inhaul cable is damaged, if so, judging the position of the damaged inhaul cable, wherein the step of judging the position of the damaged inhaul cable comprises the following steps:
when the total cable force changes When the element in the cable is less than zero, judging that a damaged cable exists, and according to the change value of the total cable forceAnd (3) correspondingly judging the position of the damaged cable at the anchoring point k.
The invention also provides a stay cable damage identification device based on beam deflection, which comprises:
the first data acquisition module is used for acquiring a flexibility matrix formed by the first flexibility difference, the first flexibility difference vector and the first flexibility differences of all the anchor points; when all the inhaul cables are in a healthy state and the unit load F=1 acts on each anchoring point of the inhaul cables and the beam body, the deflection difference of the anchoring point i and other anchoring points 1,2, …, k, …, i, … and n is reduced And obtaining a first deflection difference vector/>, of the beam body at the anchoring point i under the action of the unit load F=1；
The second data acquisition module is used for acquiring a second deflection difference and a second deflection difference vector, and acquiring deflection differences of other anchorage points 1, 2, …, k, …, i, … and n and the anchorage point i when the concentrated force P acts on the anchorage point i in the damaged state of the damaged cableAnd obtaining a second deflection difference vector/>, under the action of the concentrated force P, of the beam body at each anchoring point before and after the damaged cable is damaged；
The calculation module is used for obtaining the total cable force change value according to a force law equationAnd a first deflection difference vector/>Second deflection difference vector/>Is a relation of (2);
the damage identification module is used for forming a flexibility matrix according to the first flexibility difference of all the anchoring points And a second deflection difference vector/>Obtaining the total cable force variation value/>And according to the total cable force change value/>Judging whether the inhaul cable is damaged or not, and if the inhaul cable is damaged, judging the position of the damaged inhaul cable.
The invention also provides a terminal comprising a memory, a processor and a computer program stored in the memory and executable on the processor, the processor implementing the steps of the above method when executing the computer program.
The invention also provides a computer readable storage medium storing a computer program which when executed by a processor implements the steps of the above method.
Compared with the prior art, the stay cable damage identification method based on beam deflection provided by the embodiment of the application has the advantages that the first deflection difference vector of the stay cable in a healthy state and in a damaged state, the compliance matrix formed by the first deflection differences of all anchor points and the second deflection difference vector are obtained in a model calculation or actual measurement mode, the total cable force change value is obtained by a binding force equation, so that whether the stay cable is damaged or not is judged, the damage position is determined when the damage happens, the data is easy to calculate or measure in the identification process, the data precision is high, the method is simple and easy to implement, the damage judgment on the stay cable has higher accuracy and reliability, and the method has good feasibility.
Drawings
In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings that are needed in the embodiments or the description of the prior art will be briefly described below, it being obvious that the drawings in the following description are only some embodiments of the present invention, and that other drawings may be obtained according to these drawings without inventive effort for a person skilled in the art.
FIG. 1 is a stress analysis chart of a beam body and a deflection change chart of the beam body when all inhaul cables provided by the embodiment of the invention are in a healthy state;
fig. 2 is a force analysis diagram of a beam body and a deflection change diagram of the beam body under the action of a unit force f=1 according to an embodiment of the present invention;
Fig. 3 is a stress analysis chart of a beam body and a deflection change chart of the beam body when a concentrated force P acts on an anchor point m after a damaged cable provided by the embodiment of the invention is damaged.
Detailed Description
In order to make the technical problems, technical schemes and beneficial effects to be solved more clear, the invention is further described in detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are for purposes of illustration only and are not intended to limit the scope of the invention.
It will be understood that when an element is referred to as being "disposed on" another element, it can be directly on the other element or be indirectly on the other element. It is to be understood that the terms "length," "width," "upper," "lower," "front," "rear," "top," "bottom," "inner," "outer," and the like indicate or are based on the orientation or positional relationship shown in the drawings, merely to facilitate describing the present invention and simplify the description, and do not indicate or imply that the devices or elements being referred to must have a particular orientation, be constructed and operated in a particular orientation, and thus are not to be construed as limiting the present invention. The terms "first," "second," and the like, are used for descriptive purposes only and are not to be construed as indicating or implying relative importance or implicitly indicating the number of technical features indicated. Thus, a feature defining "a first" or "a second" may explicitly or implicitly include one or more such feature. In the description of the present invention, the meaning of "a number" is two or more, unless explicitly defined otherwise.
Referring to fig. 1 to 3, which are beam deflection difference increment influence lines, a beam AB is taken from a part of a large-span cable-stayed bridge body, n inhaul cables are arranged on the beam AB, q represents uniform load on a main beam, and x represents distance from a load F to a stay cable 1.The cable force value of the cable connected with the anchoring point 1 when no cable damage exists; /(I)The cable force value of the cable connected with the anchoring point 2 when no cable damage exists; /(I)The cable force value of the cable connected with the anchoring point k when no cable damage exists; /(I)The cable force value of the cable connected with the anchoring point m when no cable damage exists; /(I)The cable force value of the cable connected to the anchor point n when no cable damage is shown.
The cable force change value of the cable connected with the anchoring point 1 before and after the cable is damaged is shown; /(I)The cable force change value of the cable connected with the anchoring point 2 before and after the cable is damaged is shown; /(I)The cable force change value of the cable connected with the anchoring point k before and after the cable is damaged is shown; /(I)The cable force change value of the cable connected with the anchoring point m before and after the cable is damaged is shown; /(I)The cable force change values of the cable connected with the anchoring point n before and after the cable damage are shown.
Fig. 1 shows a stress analysis chart of each anchor point of the beam body and a deflection change chart of the beam body when all the inhaul cables are in a healthy state. Fig. 2 shows a stress analysis chart of each anchoring point of the beam body and a deflection change chart of the beam body when the unit concentrated load f=1 moves along each anchoring point of the inhaul cable and the beam body when all inhaul cables are in a healthy state. Fig. 3 shows a stress analysis diagram of the beam body and a deflection change diagram of the beam body after the damaged cable is damaged and under the action of the concentrated force P.
For convenience of description, an anchoring point of a damaged cable and a beam body is defined as an anchoring point k, and an anchoring point of a cable positioned in the midspan of the beam body and the beam body (namely, the midspan cable and the beam body) is defined as an anchoring point m; when the damaged cable is in a damaged state, the position where the concentrated force P is applied is the anchoring point m, namely the anchoring point of the midspan cable and the beam body.
Referring to fig. 1 to 3, the stay cable damage identification method, device, terminal and medium based on beam deflection provided by the invention are now described. The stay cable damage identification method based on beam deflection comprises the following steps:
When all the inhaul cables are in a healthy state, the moving unit load F=1 is respectively transmitted to the anchorage points 1,2, …, k, …, i, … and n of the inhaul cables and the beam body, and the first deflection difference of the beam body at the anchorage points 1,2, …, k, …, i, … and n before and after the moving load is applied is obtained according to the formula (7) Obtaining a first deflection difference vector/> of the beam body at the anchoring point i according to the formula (1) and the formula (2)And the compliance matrix/>, formed by the first deflection differences of all the anchor pointsWherein/>The first letter of the subscript indicates the ith anchor point and the second letter indicates the position of action of the unit load f=1.
（7）
Wherein,Indicating the deflection value of the beam body at the anchoring point i when the unit load F=1 moves to the anchoring point n under the healthy state of all the inhaul cables,/>When the unit force F=1 acts on the anchoring point n and the first deflection difference of the beam body at the anchoring point i is expressed when all the inhaul cables are in a healthy state, the first deflection difference is expressed by the ratio of the unit force F=1 to the first deflection differenceAnd when all the inhaul cables are in a healthy state, the initial deflection value of the beam body at the anchoring point i is shown.
（1）
For the related parameters of the bridge in the healthy state, the corresponding parameters can be acquired by establishing a model, the model establishment mode is simple and feasible, and the accurate parameter values can be conveniently and rapidly obtained.
Wherein,Refers to the first deflection difference of the beam body at the ith anchor point (subscript first i) when a unit load f=1 acts on the ith anchor point (subscript second i); in the formula, the first letter of the subscript indicates the ith anchor point, the second letter indicates the position where the unit load f=1 acts on the ith anchor point, and the values should be the same when two i occur at the same time.
After a certain inhaul cable is damaged, a damaged cable is formed, an anchoring point between the damaged cable and the beam body is defined as an anchoring point k, and an anchoring point between the midspan inhaul cable and the beam body is defined as an anchoring point m; when the damaged cable is in a damaged state, a concentrated force P is acted on the m-position of the anchor point, and the second deflection difference of the beam body at the positions 1, 2, …, k, …, i, … and n of the anchor point before and after the damage of the damaged cable is obtained according to a formula (8)Obtaining a second deflection difference vector/>, of the beam body at each anchoring point according to the formula (2)；
（8）
Wherein,When the concentrated force P acts on the anchoring point m, the second deflection difference of the beam body at the anchoring point k in two states before and after the damaged cable is damaged is expressed, and the ratio of the second deflection difference to the second deflection is/isRepresenting the deflection value of the beam body at the anchoring point k under the action of the concentrated force P when the damaged cable is in a damaged state,/>And when all the inhaul cables are in a healthy state, the initial deflection value of the beam body at the anchoring point k is shown.
（2）
The method has the advantages that the bridge related parameters in the damaged state can be obtained through actual measurement, the obtaining mode is simple, the operation is convenient, the measurement accuracy can be ensured, and the accuracy of judging the subsequent damaged cable can be improved.
Obtaining the total cable force change value according to the force law equationAnd a second deflection difference vector/>And the compliance matrix/>, formed by the first deflection differences of all the anchor pointsIs a relation of (3).
According to the linear superposition principle, the relation among the first deflection difference of the beam body at any anchoring point i, the cable force change value at the anchoring point i and the second deflection difference of the beam body at the anchoring point i is as follows:
（3）
Writing formula (3) into a matrix form:
（4）
wherein, For the cable force variation before and after cable damage connected with the anchoring point 1,/>The cable force variation before and after cable damage is connected with the anchoring point k; /(I)For the cable force variation before and after the cable connected with the anchoring point k is damaged,The expression is the included angle/>, between the inhaul cable and the main beam, which are connected with the anchoring point iSine value of/>The expression is the included angle/>, between the inhaul cable and the main beam, which are connected with the anchoring point nSine value of/>The expression is the included angle/>, between the inhaul cable and the main beam, which are connected with the anchoring point kIs a sine value of (c).
Writing equation (4) into vector form:
（5）
solving to obtain a total cable force change value:
（6）
compliance matrix formed from first deflection differences for all anchor points And a second deflection difference vector/>Obtaining the total cable force variation value/>And according to the total cable force change value/>Judging whether the inhaul cable is damaged or not, and if the inhaul cable is damaged, judging the position of the damaged inhaul cable.
After the inhaul cable is damaged, the total cable force change value is obviously reduced, the cable force value of the inhaul cable positioned near the damage is increased, the cable force of the rest inhaul cables is basically unchanged, the position of the damaged cable anchoring point k can be judged according to the performance, and the damaged cable can be obtained corresponding to the anchoring point k.
In particular, when the total cable force changesWhen the element in the cable is less than zero, judging that a damaged cable exists, and according to the total cable force change value/>And (3) correspondingly judging the position of the damaged cable at the anchoring point k. After the total cable force change value is obtained, whether the inhaul cable is damaged or not is judged according to the following mode.
Compared with the prior art, the stay cable damage identification method based on beam deflection provided by the embodiment obtains the first deflection difference vector of the stay cable in a healthy state and in a damaged state, the compliance matrix formed by the first deflection differences of all anchor points and the second deflection difference vector in a model calculation or actual measurement mode, and obtains the total cable force change value according to a binding force equation, so that whether the stay cable is damaged or not is judged, the damage position is determined when the damage happens, data is easy to calculate or measure in the identification process, the data precision is high, the method is simple and easy to implement, and the method has higher accuracy and reliability for damage judgment of the stay cable and good feasibility.
Based on the same inventive concept, the embodiment of the application also provides a stay cable damage identification device based on beam body deflection, which comprises:
The first data acquisition module is used for acquiring a flexibility matrix formed by the first flexibility difference, the first flexibility difference vector and the first flexibility differences of all the anchor points. When all the inhaul cables are in a healthy state, moving unit load F=1 to each anchoring point 1,2, …, k, …, i, … and n of the inhaul cables and the beam body respectively, and acquiring first deflection differences of the beam body at each anchoring point 1,2, …, k, …, i, … and n before and after the moving load is applied And obtaining a first deflection difference vector/>, of the beam body at the anchoring point iAnd the compliance matrix/>, formed by the first deflection differences of all the anchor points；
The second data acquisition module is used for acquiring a second deflection difference and a second deflection difference vector. When the damaged cable is in a damaged state, a concentrated force P is applied to the m-position of the anchor point to obtain second deflection differences of the beam bodies at the 1,2, …, k, …, i, … and n-position of the anchor point before and after the damaged cable is damagedAnd obtaining a second deflection difference vector/>, of the beam body at each anchoring point；
The calculation module is used for obtaining the total cable force change value according to a force law equationAnd a first deflection difference vector/>Second deflection difference vector/>Is a relation of (2);
the damage identification module is used for forming a flexibility matrix according to the first flexibility difference of all the anchoring points And a second deflection difference vector/>Obtaining the total cable force variation value/>And according to the total cable force change value/>Judging whether the inhaul cable is damaged or not, and if the inhaul cable is damaged, judging the position of the damaged inhaul cable.
The device can conveniently acquire various parameters, improves the judging efficiency of the damage of the inhaul cable, can accurately judge the position of the damaged cable, improves the judging precision, simplifies the judging process, and has good practicability.
Based on the same inventive concept, the embodiment of the application also provides a terminal, which comprises a memory, a processor and a computer program stored in the memory and capable of running on the processor, wherein the processor executes the steps of the method.
In this embodiment, the terminal may be a computing device such as a desktop computer, a notebook computer, a palm computer, and a cloud server. A terminal may include, but is not limited to, a processor and memory, may include more components than the structures described above, or may combine some components, or different components, e.g., a terminal may also include an input-output device, a network access device, a bus, etc.
The processor may be a central processing unit, or may be other general purpose processors, digital signal processors, application specific integrated circuits, discrete gates of a field programmable gate array or other programmable logic devices or discrete hardware components of a body tube logic device, etc. A general purpose processor may be a microprocessor or the processor may be any conventional processor. The memory may be an internal storage unit of the terminal, such as a hard disk or a memory of the terminal. The memory may also be an external storage device of the terminal, such as a plug-in hard disk, a smart memory card, a flash memory card, etc. provided on the terminal.
Based on the same inventive concept, the embodiments of the present application also provide a computer readable storage medium storing a computer program, which when executed by a processor, implements the steps of the above method.
The functional units in the embodiments of the present invention may be integrated in one processing unit, or each unit may exist alone physically, or two or more units may be integrated in one unit. The integrated units may be implemented in hardware or in software functional units. The integrated modules or units, if implemented in the form of software functional units and sold or used as stand-alone products, may be stored in a computer readable storage medium.
Based on such understanding, the present invention may implement all or part of the flow in the method of the above embodiment, and may also be implemented by a computer program to instruct related hardware. The computer program may be stored in a computer readable storage medium, which computer program, when being executed by a processor, may carry out the steps of the above-mentioned identification method.
The foregoing description of the preferred embodiments of the invention is not intended to be limiting, but rather is intended to cover all modifications, equivalents, and alternatives falling within the spirit and principles of the invention.
Claims (6)
1. The stay cable damage identification method based on beam deflection is characterized by comprising the following steps of:
When all the inhaul cables are in a healthy state, moving unit load F=1 to each of the anchor points 1,2, …, k, …, i, … and n of the inhaul cables and the beam body respectively, acquiring first deflection differences Δwi′1、Δwi′2、…、Δwi′k、…、Δwi′i、…、Δwi′n, of the beam body at the positions 1,2, …, k, …, i, … and n of the inhaul cables before and after the moving load is applied, and acquiring a first deflection difference vector Deltaw 'i of the beam body at the anchor point i and a compliance matrix Deltaw' formed by the first deflection differences of all the anchor points, wherein a first letter marked in Deltaw i′n represents an ith anchor point, and a second letter represents an acting position of the unit load F=1;
After a certain inhaul cable is damaged, a damaged cable is formed, an anchoring point between the damaged cable and the beam body is defined as an anchoring point k, and an anchoring point between the midspan inhaul cable and the beam body is defined as an anchoring point m; when the damaged cable is in a damaged state, a concentrated force P is acted on an anchoring point m, a second deflection difference Deltaw 1、Δw2、…、Δwk、…、Δwi、…、Δwn of the beam body at each anchoring point 1, 2, …, k, …, i, … and n before and after the damaged cable is damaged is obtained, and a second deflection difference vector Deltaw of the beam body at each anchoring point is obtained;
Obtaining a relation between a total cable force change value delta F and a second deflection difference vector delta w and a flexibility matrix delta w' formed by the first deflection differences of all the anchor points according to a force law equation;
substituting a flexibility matrix Deltaw' formed by the first deflection differences of all the anchor points and a second deflection difference vector Deltaw to obtain a total cable force change value DeltaF, judging whether the cable is damaged according to the total cable force change value DeltaF, and judging the position of the damaged cable if the cable is damaged;
When all the inhaul cables are in a healthy state, moving unit load F=1 to each anchoring point 1, 2, …, k, …, i, … and n of the inhaul cables and the beam body respectively, acquiring first deflection differences Δwi′1、Δwi′2、…、Δwi′k、…、Δwi′i、…、Δwi′n, of the beam body at the positions 1, 2, …, k, …, i, … and n before and after the moving load is applied, and acquiring a first deflection difference vector Deltaw 'i of the beam body at the anchoring point i and a compliance matrix Deltaw' formed by the first deflection differences of all the anchoring points, wherein the first deflection differences are the following steps:
Δw′i＝[Δwi′1,Δwi′2,…Δwi′k,…,Δwi′i,…,Δwi′n],i＝1,2,…,n (1);
After a certain inhaul cable is damaged, a damaged cable is formed, an anchoring point between the damaged cable and the beam body is defined as an anchoring point k, and an anchoring point between the midspan inhaul cable and the beam body is defined as an anchoring point m; when the damaged cable is in a damaged state, a concentrated force P is acted on the m-position of the anchoring point, the second deflection difference Deltaw 1、Δw2、…、Δwk、…、Δwi、…、Δwn of each anchoring point 1, 2, …, k, …, i, … and n of the damaged cable in the two states before and after the damage is obtained, and the second deflection difference vector Deltaw of the beam body at each anchoring point in the two states before and after the damage is obtained under the action of the concentrated force P:
Δw＝[Δw1,Δw2,…,Δwk,…,Δwi,…,Δwn]T (2)；
The method comprises the following steps of obtaining a relation formula of a flexibility matrix Deltaw' formed by a total cable force change value DeltaF, a second flexibility difference vector Deltaw and first flexibility differences of all anchor points according to a force law equation:
According to the linear superposition principle, the relation among the first deflection difference of the beam body at any anchoring point i, the cable force change value at the anchoring point i and the second deflection difference of the beam body at the anchoring point i is as follows:
ΔF1sinα1Δw′i1+…+ΔFksinαkΔw′ik+…+(ΔFi+P)sinαiΔw′ii+…+ΔFnsinαnΔw′in＝Δwi (3)
Writing formula (3) into a matrix form:
Wherein, deltaF 1 is the cable force variation before and after the cable damage connected with the anchoring point 1, deltaF k is the cable force variation before and after the cable damage connected with the anchoring point k; Δf n is the cable force variation before and after cable damage connected to the anchoring point k, sin α i is the sine value of the angle α i between the cable connected to the anchoring point i and the main beam, sin α n is the sine value of the angle α n between the cable connected to the anchoring point n and the main beam, and sin α k is the sine value of the angle α k between the cable connected to the anchoring point k and the main beam;
After the step of writing formula (3) into a matrix form:
writing equation (4) into vector form:
[Δw′]{ΔF}＝{Δw} (5)
solving to obtain a total cable force change value:
{ΔF}＝[Δw']-1{Δw} (6)。
2. The beam deflection-based stay cable damage identification method according to claim 1, wherein the first deflection difference Δw' i1、Δw′i2、…、Δw′ik、…、Δw′ii、…、Δw′in of the beam at each of the anchor points 1, 2, …, k, …, i, …, n before and after the application of the moving load is obtained, wherein:
Obtaining a first deflection difference Deltaw 'in of the beam body at the anchoring point n according to a formula (7) so as to bring the first deflection difference Deltaw' in into a compliance matrix formed by the first deflection differences of all the anchoring points,
Wherein,Indicating the deflection value of the beam body at the anchoring point i when the unit load F=1 moves to the anchoring point n under the healthy state of all the inhaul cables, wherein Deltaw' in indicates the first deflection difference of the beam body at the anchoring point i when the unit force F=1 acts on the anchoring point n under the healthy state of all the inhaul cables, and is expressed by the following formulaWhen all the inhaul cables are in a healthy state, the initial deflection value of the beam body at the anchoring point i is shown;
In the step of obtaining the second deflection difference Deltaw 1、Δw2、…、Δwk、…、Δwi、…、Δwn of the beam body at each of the anchor points 1, 2, …, k, …, i, … and n before and after the damaged cable is damaged, the second deflection difference Deltaw k of the beam body at the anchor point k is obtained according to the formula (8),
Wherein Deltaw k represents the second deflection difference of the beam body at the anchoring point k in two states before and after the damaged cable is damaged when the concentrated force P acts on the anchoring point m,Representing the deflection value of the beam body at the anchoring point k under the action of the concentrated force P when the damaged cable is in a damaged state,/>And when all the inhaul cables are in a healthy state, the initial deflection value of the beam body at the anchoring point k is shown.
3. The beam deflection-based stay cable damage identification method according to claim 1 or 2, wherein the total cable force change value Δf is obtained according to a flexibility matrix Δw' and a second deflection difference vector Δw formed by the first deflection differences of all the anchor points, and whether the stay cable is damaged is judged according to the total cable force change value Δf, and if the stay cable is damaged, the position of the damaged cable is judged in the step of:
And when the element in the total cable force change value delta F is smaller than zero, judging that the damaged cable exists, and correspondingly judging the position of the damaged cable according to the anchoring point k with the total cable force change value delta F.
4. An identification device for a beam deflection-based stay cable damage identification method according to any one of claims 1 to 3, wherein the identification device comprises:
The first data acquisition module is used for acquiring a flexibility matrix formed by the first flexibility difference, the first flexibility difference vector and the first flexibility differences of all the anchor points; when all the inhaul cables are in a healthy state, moving unit load F=1 to each anchoring point 1,2, …, k, …, i, … and n of the inhaul cables and the beam body respectively, acquiring first deflection difference delta w i′1、Δwi′2、Δwi′3…Δwi′n of the beam body at the positions 1,2, …, k, …, i, … and n of the inhaul cables before and after the moving load is applied, and acquiring a first deflection difference vector delta wi i of the beam body at the anchoring point i and a compliance matrix delta w' formed by the first deflection differences of all the anchoring points;
The second data acquisition module is used for acquiring a second deflection difference and a second deflection difference vector, and applying a concentrated force P to the anchoring points m when the damaged cable is in a damaged state to acquire the second deflection difference of the beam bodies at the anchoring points 1,2, …, k, …, i, … and n before and after the damaged cable is damaged
Δw 1、Δw2、…、Δwk、…、Δwi、…、Δwn, and obtaining a second deflection difference vector Δw of the beam body at each anchoring point;
The calculation module is used for obtaining a relational expression of the total cable force change value delta F, the first deflection difference vector delta w' i and the second deflection difference vector delta w according to a force law equation;
The damage identification module is used for acquiring a total cable force change value delta F according to a flexibility matrix delta w' formed by the first deflection differences of all the anchor points and a second deflection difference vector delta w, judging whether the inhaul cable is damaged according to the total cable force change value delta F, and judging the position of the damaged cable if the inhaul cable is damaged.
5. A terminal comprising a memory, a processor and a computer program stored in the memory and executable on the processor, characterized in that the processor implements the steps of the method according to any of the preceding claims 1-3 when the computer program is executed.
6. A computer readable storage medium storing a computer program, characterized in that the computer program when executed by a processor implements the steps of the method according to any of the preceding claims 1-3.
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| CN202311598447.9A CN117589572B (en) | 2023-11-28 | Stay cable damage identification method, device, terminal and medium based on beam deflection |
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| CN202311598447.9A CN117589572B (en) | 2023-11-28 | Stay cable damage identification method, device, terminal and medium based on beam deflection |
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