A method, device, medium and program product for adjusting cable force of an arch bridge

Abstract

The present invention provides a method, device, medium and program product for adjusting the cable force of an arch bridge, which relates to the technical field of arch bridge cable force adjustment. The method comprises: establishing a parameterized finite element model of the arch bridge, applying a specific unit force to each hanger to construct a first influence matrix; performing singular value decomposition on the first influence matrix and extracting the top k hangers whose total energy contribution rate exceeds a first preset value, and calculating their sensitivity to the global hanger cable force; calculating the importance index by combining the sensitivity with the hanger cable force deviation, screening the top n important key hangers to construct a second influence matrix; obtaining the adjusted vector based on the difference between the second influence matrix and the target influence matrix, and solving the cable force adjustment amount of the key hanger; and adjusting the cable forces of the key hangers in order of importance. The present invention accurately identifies key hangers through matrix decomposition and sensitivity analysis, quantifies the adjustment amount and considers the interaction, avoids full hanger adjustment, significantly reduces construction costs, and improves the efficiency and accuracy of cable force adjustment.

Description

Technical Field

[0001] The present invention relates to the technical field of arch bridge cable force adjustment, and in particular to an arch bridge cable force adjustment method, device, medium and program product. Background Art

[0002] With the development of transportation, cable tension adjustment technology for arch bridges after long-term service has become increasingly critical. After several years of operation, arch bridges are prone to systematic deviations in cable tension due to material creep, temperature cycling, and accumulated traffic loads. Scientific cable adjustment is necessary to restore the structural stress state.

[0003] In current bridge cable adjustment projects, the global cable adjustment method still dominates. This method involves adjusting the tension of all suspenders to meet design requirements. However, this method requires simultaneous adjustment of all suspenders, making the construction process complex and time-consuming, significantly reducing construction efficiency. Furthermore, due to the large number of designed suspenders, the tension changes of each suspender will affect each other, making errors prone to occur. Global cable adjustment requires a large amount of equipment and human resources, increasing construction costs and making it less economical. Summary of the Invention

[0004] The embodiments of the present invention provide a method, device, medium and program product for adjusting the cable tension of an arch bridge, which aims to solve the problem that the existing technology requires synchronous adjustment of all hangers, makes it difficult to consider the mutual influence between the hangers after adjustment, and thus cannot identify the key hangers that are sensitive to the overall situation of the arch bridge for adjustment, resulting in high construction costs and poor efficiency.

[0005] In order to achieve the above objectives, in a first aspect, the present invention provides a method for adjusting the cable force of an arch bridge, comprising the following steps:

[0006] S1. Establish a parametric finite element model of the arch bridge, apply a force of the same specific unit to each suspender of the arch bridge in the parametric finite element model, obtain a force influence coefficient of each suspender, and construct a first influence matrix using the force influence coefficient as a matrix element. The force influence coefficient is a change in the cable force of other suspenders caused by applying a force of the same specific unit to each suspender;

[0007] S2. Performing singular value decomposition on the first influence matrix and sorting the booms from large to small according to the singular values;

[0008] S3. Obtain the first k suspenders whose total energy contribution rate is greater than a first preset value according to the sorting result, and calculate the sensitivity of the cable force of each of the first k suspenders to the global suspender force of the arch bridge, where k is a predetermined first number;

[0009] S4. Calculate the cable force deviation of each of the first k suspenders, and calculate the importance index of each of the first k suspenders by combining the sensitivity and the cable force deviation, wherein the cable force deviation of a suspender is the ratio of the difference between the pre-designed cable force value and the measured cable force value of the suspender to the pre-designed cable force value;

[0010] S5. Filtering the first n suspenders as key suspenders in descending order of the importance index, and constructing a second influence matrix using the force influence coefficients of the key suspenders as matrix elements, where n is a predetermined second number, and n is less than k;

[0011] S6. Obtain an adjusted vector, where the adjusted vector is used to represent a difference between the second influence matrix and a preset target influence matrix;

[0012] S7, using the adjusted vector as the adjustment amount target, solving the adjustment vector of the second influence matrix, where the adjustment vector is used to represent the cable force adjustment amount to be applied to each key suspender;

[0013] S8. Adjust the cable forces of the key suspenders in order of importance according to their respective cable force adjustment amounts;

[0014] The total energy contribution rate is calculated by the following formula:

[0015] ,

[0016] Where, is the total energy contribution rate of the first k suspenders; r is the total number of suspenders of the arch bridge; is the first diagonal matrix of the singular value in the singular value decomposition The diagonal elements corresponding to the booms;

[0017] The sensitivity is calculated by the following formula:

[0018] ,

[0019] Where, Indicates the The sensitivity of individual hangers to the global hanger of the arch bridge; Indicates the first influence matrix The boom pair The force influence coefficient of each boom;

[0020] The importance index is calculated by the following formula:

[0021] ,

[0022] Where, Indicates the Importance index of each boom; Indicates the Cable force deviation of each boom; represents the maximum value of the global hanger sensitivity of the arch bridge among the first k hangers; represents the maximum value of the cable force deviation in the first k hangers;

[0023] The modulation vector is obtained by solving the following equation:

[0024] A'X=B',

[0025] Where, is the second impact matrix; is the modulated vector; X is the modulating vector to be solved.

[0026] Furthermore, after adjusting the cable force of each key suspender rod, the finite element model is updated according to the adjustment result, and iterative calculation is performed until the absolute value of the cable force deviation is less than or equal to 10%.

[0027] Furthermore, after adjusting the cable tension of all key suspenders, the bridge alignment and cable tension distribution are measured. If there is a suspender whose cable tension deviation exceeds the predetermined deviation threshold, steps S1-S8 are repeated to adjust the cable tension until the absolute value of the maximum cable tension deviation of all suspenders is less than or equal to 10% and the linear error does not exceed the second preset value.

[0028] Furthermore, the linear error is calculated as follows:

[0029] U=L / 2000,

[0030] Where U is the linear error and L is the full bridge span.

[0031] In a second aspect, the present invention provides an arch bridge cable force adjustment device, comprising a memory and a processor, wherein the memory stores at least one program, and the at least one program is executed by the processor to implement the arch bridge cable force adjustment method as described above.

[0032] In a third aspect, the present invention provides a computer-readable storage medium, wherein the storage medium stores at least one program, and the at least one program is executed by a processor to implement the arch bridge cable force adjustment method as described above.

[0033] In a fourth aspect, the present invention provides a computer program product, comprising a computer program, which, when executed by a processor, implements the steps of the arch bridge cable force adjustment method as described above.

[0034] The above technical solution has the following technical effects:

[0035] By establishing a parametric finite element model of an arch bridge, a specific unit force is applied to each suspender to construct a first influence matrix that reflects the mutual influence between the suspenders; by performing singular value decomposition and extracting the first k suspenders whose total energy contribution rate exceeds a first preset value, their sensitivity to the global suspender cable force is calculated; combining the sensitivity with the difference between the suspender design cable force value and the measured cable force value to calculate the importance index, screening the first n important key suspenders to construct a second influence matrix; based on the difference between the second influence matrix and the target influence matrix, the adjusted vector is obtained, and the cable force adjustment amount of the key suspenders is solved; the cable forces of the key suspenders are adjusted in order of importance. The present invention accurately identifies key suspenders through matrix decomposition and sensitivity analysis, quantifies the adjustment amount and considers the interaction, avoids full suspender adjustment, significantly reduces construction costs, and improves the efficiency and accuracy of cable force adjustment.

[0036] In a further embodiment, the finite element model is updated in time and the calculation is repeated after each cable tension adjustment. In combination with the error feedback of the measured linear shape and cable tension distribution, the adjustment process is restarted when the local error exceeds the threshold, and the model parameters and adjustment strategy are continuously corrected to stabilize the hanger cable tension deviation within a specific range and the linear error meets the standard, thereby accurately matching the design goals, effectively eliminating the problem of structural deformation incoordination, and adaptively correcting the errors caused by complex factors, thereby achieving global optimization of the stress and shape of the arch bridge structure. BRIEF DESCRIPTION OF THE DRAWINGS

[0037] Figure 1 1 is a flow chart of a method for adjusting cable force in an arch bridge according to an embodiment of the present invention;

[0038] Figure 2 Schematic diagram of the structure of an arch bridge cable force adjustment device in one embodiment of the present invention. DETAILED DESCRIPTION

[0039] To further illustrate various embodiments, the present invention is provided with accompanying drawings. These drawings form part of the present disclosure and are primarily used to illustrate the embodiments and, in conjunction with the relevant description in the specification, to explain the operating principles of the embodiments. By referring to these drawings, one of ordinary skill in the art will understand other possible embodiments and the advantages of the present invention. The components in the figures are not drawn to scale, and similar reference numerals are generally used to represent similar components.

[0040] The present invention will now be further described with reference to the accompanying drawings and specific embodiments.

[0041] Example 1:

[0042] Figure 1 1 is a flow chart of a method for adjusting the cable force of an arch bridge according to an embodiment of the present invention. The method of this embodiment includes the following steps:

[0043] S1. Establish a parametric finite element model of an arch bridge, obtain the force influence coefficient of each suspender by applying the same specific unit of force to each suspender in the parametric finite element model, and construct a first influence matrix using the force influence coefficient as a matrix element, wherein the force influence coefficient is the change in cable force of other suspenders caused by applying the same specific unit of force to each suspender; in a specific implementation, the matrix element a ij represents the influence coefficient of the unit cable force adjustment of the j-th suspender on the force value of the ith suspender; if there are a suspenders, then the first influence matrix composed of the force value influence coefficients of a suspenders is an a×a order matrix;

[0044] S2. Perform singular value decomposition on the first influence matrix and sort the booms from large to small according to the singular values;

[0045] S3. Obtain the first k suspenders whose total energy contribution rates are greater than a first preset value according to the sorting result, and calculate the sensitivity of the suspender cable forces of the first k suspenders to the global suspender force of the arch bridge, where k is a predetermined first number;

[0046] In a specific implementation, the total energy contribution rate is calculated using the following formula:

[0047] ,

[0048] Where, is the total energy contribution rate of the first k suspenders; r is the total number of suspenders of the arch bridge; is the first diagonal matrix of the singular value in the singular value decomposition The diagonal elements corresponding to the booms;

[0049] In a specific implementation, the first preset value is 95%, indicating that the first k components have captured 95% of the energy in the data, and the remaining 5% is regarded as minor details, which can determine the truncation order k;

[0050] S4. Calculate the cable force deviation of each of the first k suspenders, and calculate the importance index of each of the first k suspenders by combining the sensitivity and the cable force deviation, where the cable force deviation of a suspender is the ratio of the difference between the pre-designed cable force value and the measured cable force value of the suspender to the pre-designed cable force value;

[0051] In one specific implementation, the sensitivity is calculated using the following formula:

[0052] ,

[0053] Where, Indicates the The sensitivity of individual hangers to the global hanger of the arch bridge; Indicates the first influence matrix The boom pair The force influence coefficient of each boom;

[0054] In a specific implementation, the importance index is calculated using the following formula:

[0055] ,

[0056] Where, Indicates the Importance index of each boom; Indicates the Cable force deviation of each boom; represents the maximum value of the global hanger sensitivity of the arch bridge among the first k hangers; represents the maximum value of the cable force deviation in the first k hangers;

[0057] S5. Select the first n suspenders as key suspenders in descending order of importance index, and construct a second influence matrix using the force influence coefficients of the key suspenders as matrix elements, where n is a predetermined second number;

[0058] In a specific implementation, the first n high-importance booms are selected as adjustment components, and the rows and columns corresponding to the non-adjustable booms are eliminated, so as to reduce the dimension of the first influence matrix to a second influence matrix of order n×n.

[0059] S6. Obtain an adjusted vector, where the adjusted vector is used to represent a difference between the second influence matrix and a preset target influence matrix;

[0060] S7, using the adjusted vector as the adjustment amount target, solving the adjustment vector of the second influence matrix, where the adjustment vector is used to represent the cable force adjustment amount that needs to be applied to each key suspender;

[0061] In a specific implementation, the modulation vector is obtained by solving the following equation:

[0062] A'X=B',

[0063] Where, is the second impact matrix; is the modulated vector; X is the modulating vector to be solved;

[0064] S8. Adjust the cable forces of the key suspenders in order of importance according to their respective cable force adjustment amounts; the order of importance here is the order of importance index from large to small;

[0065] In a specific implementation, after adjusting the cable force of each key hanger, the finite element model is updated according to the adjustment result, and iterative calculation is performed until the absolute value of the cable force deviation is less than or equal to a predetermined percentage, such as 10%.

[0066] In a specific implementation, after adjusting the cable tension of all key suspenders, the bridge alignment and cable tension distribution are measured. If there is a suspender whose cable tension deviation exceeds a predetermined deviation threshold, steps S1-S8 are repeated to adjust the cable tension until the absolute value of the maximum cable tension deviation of all suspenders is less than or equal to 10% and the linear error does not exceed a second preset value.

[0067] In one specific implementation, the linear error is calculated using the following formula:

[0068] U=L / 2000,

[0069] Where U is the linear error and L is the full bridge span.

[0070] Example 2:

[0071] Figure 2 FIG. 1 is a schematic structural diagram of an arch bridge cable force adjustment device according to an embodiment of the present invention. Figure 2 As shown, the device includes a processor 201, a memory 202, a bus 203, and a computer program stored in the memory 202 and executable on the processor 201. The processor 201 includes one or more processing cores. The memory 202 is connected to the processor 201 via the bus 203. The memory 202 is used to store program instructions. When the processor executes the computer program, the steps in the above-mentioned method embodiment of the first embodiment of the present invention are implemented.

[0072] Furthermore, as an executable solution, the arch bridge cable tension adjustment device can be a computer unit, which can be a computing device such as a desktop computer, a notebook, a PDA, or a cloud server. The computer unit can include, but is not limited to, a processor and a memory. Those skilled in the art will understand that the above-mentioned computer unit structure is merely an example of a computer unit and does not constitute a limitation on the computer unit. The computer unit can include more or fewer components than those described above, or a combination of certain components, or different components. For example, the computer unit can also include input and output devices, network access devices, buses, etc., which are not limited in the embodiments of the present invention.

[0073] Furthermore, as an executable solution, the processor may be a central processing unit (CPU), other general-purpose processors, digital signal processors (DSP), application-specific integrated circuits (ASIC), field-programmable gate arrays (FPGA), or other programmable logic devices, discrete gate or transistor logic devices, discrete hardware components, etc. The general-purpose processor may be a microprocessor or any conventional processor, etc. The processor is the control center of the computer unit and connects various parts of the entire computer unit using various interfaces and lines.

[0074] The memory can be used to store the computer programs and / or modules. The processor implements the various functions of the computer unit by running or executing the computer programs and / or modules stored in the memory and accessing the data stored in the memory. The memory may primarily include a program storage area and a data storage area. The program storage area may store an operating system and at least one application required for a function; the data storage area may store data generated based on the use of the mobile phone. Furthermore, the memory may include high-speed random access memory and non-volatile memory, such as a hard disk, internal memory, a plug-in hard disk, a Smart Media Card (SMC), a Secure Digital (SD) card, a flash card, at least one disk storage device, a flash memory device, or other volatile solid-state storage device.

[0075] Example 3:

[0076] The present invention also provides a computer-readable storage medium, wherein the computer-readable storage medium stores a computer program, and when the computer program is executed by a processor, the steps of the above method in the embodiment of the present invention are implemented.

[0077] If the modules / units integrated into the computer unit are implemented as software functional units and sold or used as independent products, they can be stored in a computer-readable storage medium. Based on this understanding, the present invention can also implement all or part of the process steps in the above-mentioned method embodiments by using a computer program to instruct the relevant hardware. The computer program can be stored in a computer-readable storage medium. When executed by a processor, the computer program can implement the steps of each of the above-mentioned method embodiments. The computer program includes computer program code, which can be in source code form, object code form, executable file, or some intermediate form. The computer-readable medium can include any entity or device capable of carrying the computer program code, recording medium, USB flash drive, removable hard drive, magnetic disk, optical disk, computer memory, read-only memory (ROM), random access memory (RAM), and software distribution medium. It should be noted that the content contained in the computer-readable medium can be appropriately increased or decreased based on the requirements of legislation and patent practice within a jurisdiction.

[0078] Example 4:

[0079] The present invention also provides a computer program product, comprising a computer program, which implements the steps of the arch bridge cable force adjustment method described above when executed by a processor.

[0080] Although the present invention has been particularly shown and described in conjunction with preferred embodiments, it will be understood by those skilled in the art that various changes in form and details may be made to the present invention without departing from the spirit and scope of the invention as defined in the appended claims, and all such changes are within the scope of protection of the present invention.

Claims

1. A method for adjusting cable force of an arch bridge, characterized in that: The following steps are involved: S1. Establish a parametric finite element model of the arch bridge, apply a force of the same specific unit to each suspender of the arch bridge in the parametric finite element model, obtain a force influence coefficient of each suspender, and construct a first influence matrix using the force influence coefficient as a matrix element. The force influence coefficient is a change in the cable force of other suspenders caused by applying a force of the same specific unit to each suspender; S2. Performing singular value decomposition on the first influence matrix and sorting the booms from large to small according to the singular values; S3. Obtain the top k suspenders whose total energy contribution rate is greater than a first preset value according to the sorting result, and calculate the sensitivity of the cable force of each suspender among the top k suspenders whose total energy contribution rate is greater than the first preset value to the global suspender force of the arch bridge, where k is a predetermined first number; S4. Calculate the cable force deviation of each of the top k suspenders whose total energy contribution rate is greater than a first preset value, and calculate the importance index of each of the top k suspenders whose total energy contribution rate is greater than the first preset value by combining sensitivity and cable force deviation, wherein the cable force deviation of a suspender is the ratio of the difference between the pre-designed cable force value and the measured cable force value of the suspender to the pre-designed cable force value; S5. Filtering the first n suspenders as key suspenders in descending order of the importance index, and constructing a second influence matrix using the force influence coefficients of the key suspenders as matrix elements, where n is a predetermined second number, and n is less than k; S6. Obtain an adjusted vector, where the adjusted vector is used to represent a difference between the second influence matrix and a preset target influence matrix; S7, using the adjusted vector as the adjustment amount target, solving the adjustment vector of the second influence matrix, where the adjustment vector is used to represent the cable force adjustment amount to be applied to each key suspender; S8. Adjust the cable forces of the key suspenders in order of importance according to their respective cable force adjustment amounts; The total energy contribution rate is calculated by the following formula: ， Where, is the total energy contribution rate of the first k suspenders whose total energy contribution rate is greater than the first preset value; r is the total number of suspenders of the arch bridge; is the first diagonal matrix of the singular value in the singular value decomposition The diagonal elements corresponding to the booms; The sensitivity is calculated by the following formula: ， Where, Indicates the The sensitivity of individual hangers to the global hanger of the arch bridge; Indicates the first influence matrix The boom pair The force influence coefficient of each boom; The importance index is calculated by the following formula: ， Where, Indicates the Importance index of each boom; Indicates the Cable force deviation of each boom; It represents the maximum value of the sensitivity of the global suspenders of the arch bridge among the first k suspenders whose total energy contribution rate is greater than the first preset value; represents the maximum value of the cable force deviation among the first k suspenders whose total energy contribution rate is greater than the first preset value; The modulation vector is obtained by solving the following equation: A'X=B', Where, is the second impact matrix; is the modulated vector; X is the modulating vector to be solved.

2. The arch bridge cable force adjustment method according to claim 1, characterized in that: After adjusting the cable force of each key hanger, the finite element model is updated according to the adjustment result, and iterative calculation is performed until the absolute value of the cable force deviation is less than or equal to 10%.

3. The arch bridge cable force adjustment method according to claim 1, characterized in that: After adjusting the cable tension of all key suspenders, the bridge alignment and cable tension distribution are measured. If there are suspenders whose cable tension deviation exceeds the predetermined deviation threshold, repeat steps S1-S8 to adjust the cable tension until the absolute value of the maximum cable tension deviation of all suspenders is less than or equal to 10% and the linear error does not exceed the second preset value.

4. The arch bridge cable force adjustment method according to claim 3, characterized in that: The linear error is calculated as follows: U=L / 2000, Where U is the linear error and L is the full bridge span.

5. An arch bridge cable force adjustment device, characterized in that: The method comprises a memory and a processor, wherein the memory stores at least one program, and the at least one program is executed by the processor to implement the arch bridge cable force adjustment method according to any one of claims 1 to 4.

6. A computer-readable storage medium, characterized in that The storage medium stores at least one program, and the at least one program is executed by a processor to implement the arch bridge cable force adjustment method according to any one of claims 1 to 4.

7. A computer program product comprising a computer program, characterized in that When the computer program is executed by a processor, the steps of the arch bridge cable force adjustment method according to any one of claims 1 to 4 are implemented.

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