CN117589572A - 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 PDF

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CN117589572A
CN117589572A CN202311598447.9A CN202311598447A CN117589572A CN 117589572 A CN117589572 A CN 117589572A CN 202311598447 A CN202311598447 A CN 202311598447A CN 117589572 A CN117589572 A CN 117589572A
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cable
deflection
damaged
anchoring point
beam body
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CN117589572B (en
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杨彦霄
赵莉
苏木标
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Shijiazhuang Tiedao University
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Shijiazhuang Tiedao University
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    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N3/00—Investigating strength properties of solid materials by application of mechanical stress
    • G01N3/08—Investigating strength properties of solid materials by application of mechanical stress by applying steady tensile or compressive forces
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01L—MEASURING FORCE, STRESS, TORQUE, WORK, MECHANICAL POWER, MECHANICAL EFFICIENCY, OR FLUID PRESSURE
    • G01L5/00—Apparatus for, or methods of, measuring force, work, mechanical power, or torque, specially adapted for specific purposes
    • G01L5/04—Apparatus for, or methods of, measuring force, work, mechanical power, or torque, specially adapted for specific purposes for measuring tension in flexible members, e.g. ropes, cables, wires, threads, belts or bands
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01M—TESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
    • G01M5/00—Investigating the elasticity of structures, e.g. deflection of bridges or air-craft wings
    • G01M5/0008—Investigating the elasticity of structures, e.g. deflection of bridges or air-craft wings of bridges
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01M—TESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
    • G01M5/00—Investigating the elasticity of structures, e.g. deflection of bridges or air-craft wings
    • G01M5/0033—Investigating the elasticity of structures, e.g. deflection of bridges or air-craft wings by determining damage, crack or wear
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N3/00—Investigating strength properties of solid materials by application of mechanical stress
    • G01N3/02—Details
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N2203/00—Investigating strength properties of solid materials by application of mechanical stress
    • G01N2203/02—Details not specific for a particular testing method
    • G01N2203/06—Indicating or recording means; Sensing means
    • G01N2203/067—Parameter measured for estimating the property
    • G01N2203/0676—Force, weight, load, energy, speed or acceleration

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  • General Physics & Mathematics (AREA)
  • General Health & Medical Sciences (AREA)
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  • Aviation & Aerospace Engineering (AREA)
  • Testing Of Devices, Machine Parts, Or Other Structures Thereof (AREA)

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

Stay cable damage identification method, device, terminal and medium based on beam deflection
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, the moving unit load F=1 is respectively transmitted to each anchoring point 1, 2, …, k, …, i, … and n of the inhaul cables and the beam body, and the first deflection difference of the beam body at each anchoring point 1, 2, …, k, …, i, … and n before and after the moving load is applied is obtainedAnd obtaining a first deflection difference vector of the beam body at the anchoring point i>And the compliance matrix formed by the first deflection differences of all anchor points +.>Wherein->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 anchoring point, and the second deflection difference of the beam body at the 1, 2, …, k, …, i, … and n-position of each anchoring point before and after the damaged cable is damaged is obtainedAnd 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 anchor points +.>Is a relation of (2);
compliance matrix formed by substituting first deflection differences of all anchoring pointsAnd a second deflection difference vector->To obtain the total cable force variation value +.>And according to the total cable force variation value +.>Judging whether the inhaul cable is damaged, if so, thenAnd judging the position of the damaged 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 i>And 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 damagedObtaining second deflection difference vectors of beam bodies at each anchoring point under the action of concentrated force P and in two states of before and after injury of damaged cable>Comprises the following steps:
（2）
in some embodiments, the total cable force change value is obtained according to a force equationAnd a second deflection difference vector->And the compliance matrix formed by the first deflection differences of all anchor points +.>In 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; />For the cable force variation before and after the cable connected with the anchoring point k is damaged,the representation is the included angle between the inhaul cable connected with the anchoring point i and the main girder>Sine value of +.>The representation is the included angle between the inhaul cable connected with the anchoring point n and the main girder>Sine value of +.>The representation is the included angle between the inhaul cable connected with the anchoring point k and the main girder>Is 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 obtainedThe 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 provide 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, the first deflection difference of the beam body at the anchoring point i is +.>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;
obtaining second deflection differences of the beam bodies at the anchorage points 1, 2, …, k, …, i, … and n before and after the damaged cable is damagedIn 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 represented by +.>When the damaged cable is in a damaged state, the deflection value of the beam body at the anchoring point k under the action of the concentrated force P is expressed by +.>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 a kind ofIn a possible implementation, the compliance matrix is formed from the first deflection differences of all the anchor pointsAnd a second deflection difference vector->Obtaining the total cable force variation value->And according to the total cable force variation 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 changesWhen 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 between the anchoring point i and the other anchoring points 1, 2, …, k, …, i, … and nAnd obtaining a first deflection difference vector of the beam body at the anchoring point i under the action of the unit load F=1>；
A second data acquisition module for acquiring a second deflection difference and a second deflection difference vector forWhen the concentrated force P acts on the anchoring point i under the damaged state of the damaged cable, the deflection difference between the other anchoring points 1, 2, …, k, …, i, … and n and the anchoring point i is obtainedAnd obtaining a second deflection difference vector of the beam body at each anchoring point before and after the damaged cable under the action of the concentrated force P>；
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 pointsAnd a second deflection difference vector->Obtaining the total cable force variation value->And according to the total cable force variation 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 through a binding force equation, whether the stay cable is damaged or not is judged, the damage position is determined when the damage happens, data are 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; />The cable force value of the cable connected with the anchoring point 2 when no cable damage exists; />The cable force value of the cable connected with the anchoring point k when no cable damage exists; />The cable force value of the cable connected with the anchoring point m when no cable damage exists; />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; />The cable force change value of the cable connected with the anchoring point 2 before and after the cable is damaged is shown; />The cable force change value of the cable connected with the anchoring point k before and after the cable is damaged is shown; />The cable force change value of the cable connected with the anchoring point m before and after the cable is damaged is shown; />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 anchor points +.>Wherein->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, +.>Indicating that the unit force f=1 acts when all the cables are in a healthy stateWhen the anchoring point n is positioned, the first deflection difference of the beam body is positioned at the anchoring point i, and the first deflection difference is +.>And 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 the 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 represented by +.>When the damaged cable is in a damaged state, the deflection value of the beam body at the anchoring point k under the action of the concentrated force P is expressed by +.>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 anchor points +.>Is 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; />For the cable force variation before and after the cable connected with the anchoring point k is damaged,the representation is the included angle between the inhaul cable connected with the anchoring point i and the main girder>Sine value of +.>The representation is the included angle between the inhaul cable connected with the anchoring point n and the main girder>Sine value of +.>The representation is the included angle between the inhaul cable connected with the anchoring point k and the main girder>Is 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 pointsAnd a second deflection difference vector->Obtaining the total cable force variation value->And according to the total cable force variation 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 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, the moving unit load F=1 is respectively transmitted to each anchoring point 1, 2, …, k, …, i, … and n of the inhaul cables and the beam body, and the first deflection difference of the beam body at each anchoring point 1, 2, …, k, …, i, … and n before and after the moving load is applied is obtainedAnd obtaining a first deflection difference vector of the beam body at the anchoring point i>And the compliance matrix formed by the first deflection differences of all 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 anchoring point, and the second deflection difference of the beam body at the 1, 2, …, k, …, i, … and n-position of each anchoring point before and after the damaged cable is damaged is obtainedAnd 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 pointsAnd a second deflection difference vector->Obtaining the total cable force variation value->And according to the total cable force variation 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 embodiments of the present application also provide a terminal including 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.
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 (10)

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, the moving unit load F=1 is respectively transmitted to each anchoring point 1, 2, …, k, …, i, … and n of the inhaul cables and the beam body, and the first deflection difference of the beam body at each anchoring point 1, 2, …, k, …, i, … and n before and after the moving load is applied is obtained、/>、…、/>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 anchor points +.>Wherein->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 anchoring point, and the second deflection difference of the beam body at the 1, 2, …, k, …, i, … and n-position of each anchoring point before and after the damaged cable is damaged is obtainedAnd 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 anchor points +.>Is a relation of (2);
compliance matrix formed by substituting first deflection differences of all anchoring pointsAnd a second deflection difference vector->To obtain the total cable force variation value +.>And according to the total cable force variation 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.
2. The method for identifying the damage of the stay cable based on the deflection of the beam body as claimed in claim 1, wherein when all the stay cables are in a healthy state, the unit load F=1 is moved to each anchoring point 1, 2, …, k, …, i, … and n of the stay cable and the beam body respectively, and the first deflection difference of the beam body at each anchoring point 1, 2, …, k, …, i, … and n before and after the moving load is applied is obtainedAnd obtaining a first deflection difference vector of the beam body at the anchoring point i>First deflection difference of all anchorage pointsThe compliance matrix formed->Comprises the following steps:
（1）。
3. the beam deflection-based stay cable damage identification method according to claim 2, wherein a damaged cable is formed after a certain cable is damaged, an anchoring point of the damaged cable and the beam body is defined as an anchoring point k, and an anchoring point of the 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 damagedObtaining second deflection difference vectors of beam bodies at each anchoring point under the action of concentrated force P and in two states of before and after injury of damaged cable>Comprises the following steps:
（2）。
4. the beam deflection-based stay cable damage identification method according to claim 1, wherein the total cable force change value is obtained according to a force law equationAnd a second deflection difference vector->And the compliance matrix formed by the first deflection differences of all anchor points +.>In 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; />For the cable force variation before and after cable damage connected with the anchoring point k +.>The representation is the included angle between the inhaul cable connected with the anchoring point i and the main girder>Sine value of +.>The representation is the included angle between the inhaul cable connected with the anchoring point n and the main girder>Sine value of +.>The representation is the included angle between the inhaul cable connected with the anchoring point k and the main girder>Is a sine value of (c).
5. The beam deflection-based stay cable damage identification method according to claim 4, wherein after the step of writing the formula (3) into a matrix form:
writing equation (4) into vector form:
（5）
solving to obtain a total cable force change value:
（6）。
6. the beam deflection-based stay cable damage identification method according to claim 5, wherein the first deflection difference of the beam at each of the anchor points 1, 2, …, k, …, i, … and n before and after the application of the moving load is obtainedThe 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 provide 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, the first deflection difference of the beam body at the anchoring point i is +.>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;
obtaining second deflection differences of the beam bodies at the anchorage points 1, 2, …, k, …, i, … and n before and after the damaged cable is damagedIn 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 represented by +.>Indicating that the damaged cable is in a damaged stateIn the state, the deflection value of the beam body at the anchoring point k under the action of the concentrated force P is ∈10>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.
7. A method of identifying beam deflection based stay cable damage according to any one of claims 1 to 6, wherein the compliance matrix is formed from the first deflection differences for all anchor pointsAnd a second deflection difference vector->Obtaining the total cable force variation value->And according to the total cable force variation 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 changesWhen the element in the cable is less than zero, judging that 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.
8. Stay cable damage identification device based on beam body deflection, which is characterized by comprising:
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; all inhaul cables are in health careIn the state of recovery, the unit load F=1 is moved to each anchoring point 1, 2, …, k, …, i, … and n of the inhaul cable and the beam body respectively, and the first deflection difference of the beam body at each anchoring point 1, 2, …, k, …, i, … and n before and after the moving load is applied is obtained、/>、/>And obtaining a first deflection difference vector of the beam body at the anchoring point i>And the compliance matrix formed by the first deflection differences of all anchor 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 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 pointsAnd a second deflection difference vector->Obtaining the total cable force variation value->And according to the total cable force variation 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.
9. 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 1-7 when the computer program is executed.
10. 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 1-7.
CN202311598447.9A 2023-11-28 2023-11-28 Stay cable damage identification method, device, terminal and medium based on beam deflection Active CN117589572B (en)

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