Arch bridge cable force adjusting method and device, medium and program product

Abstract

The invention provides an arch bridge cable force adjusting method and device, a medium and a program product, and relates to the technical field of arch bridge cable force adjusting.The method comprises the steps that by establishing an arch bridge parameterization finite element model, specific unit force is applied to all suspenders to construct a first influence matrix; singular value decomposition is carried out on the first influence matrix, the first k suspenders with the total energy contribution rate exceeding a first preset value are extracted, and the sensitivity of the suspenders to the global suspender cable force is calculated; calculating an importance index in combination with sensitivity and suspender cable force deviation, and screening the first n important key suspenders to construct a second influence matrix; an adjusted vector is obtained based on the difference value of the second influence matrix and the target influence matrix, and the cable force adjustment amount of the key suspender is solved; the key suspender cable force is sequentially adjusted according to the importance sequence. According to the method, the key suspender is accurately identified through matrix decomposition and sensitivity analysis, the adjustment amount is quantified, interaction is considered, full suspender adjustment is avoided, the construction cost is remarkably reduced, and the cable force adjustment efficiency and accuracy are improved.

Description

Technical Field

[0001] The present invention relates to the technical field of cable force adjustment of arch bridges, and particularly to a method, device, medium and program product for cable force adjustment of arch bridges. Background Art

[0002] With the development of transportation, the technology of cable force deviation adjustment for long-term service arch bridges has become increasingly crucial. After an arch bridge has been in operation for several years, due to the cumulative effects of material creep, temperature cycles, and traffic loads, the cable forces of the suspenders are prone to systematic deviations, and it is necessary to restore the structural stress state through scientific cable force adjustment.

[0003] In current bridge cable force adjustment projects, the global cable force adjustment method still dominates, that is, the tension of all suspenders is adjusted as a whole to meet the design requirements. However, global cable force adjustment requires synchronous adjustment of all suspenders, with a complex and time-consuming construction process, significantly reducing the construction efficiency. Secondly, due to the large number of designed suspenders, the tension changes of each suspender will affect each other, and errors are likely to occur. Global cable force adjustment requires a large amount of equipment and human resources, increasing the construction cost and having poor economy. Summary of the Invention

[0004] Embodiments of the present invention provide a method, device, medium and program product for cable force adjustment of arch bridges, aiming to solve the problems in the prior art that it is necessary to synchronously adjust all suspenders, it is difficult to consider the mutual influence between the adjusted suspenders, and thus it is impossible to identify the key suspenders that are sensitive to the overall arch bridge for adjustment, resulting in high construction costs and poor efficiency.

[0005] To achieve the above object, in a first aspect, the present invention provides a method for cable force adjustment of an arch bridge, including the following steps: S1. Establish a parametric finite element model of the arch bridge. By separately applying the same specific unit of force to each suspender of the arch bridge in the parametric finite element model, obtain the force value influence coefficients of each suspender, and construct a first influence matrix with the force value influence coefficients as matrix elements. The force value influence coefficient is the cable force change value of other suspenders caused by separately applying the same specific unit of force to each suspender; S2. Perform singular value decomposition on the first influence matrix, and sort the suspenders in descending order of singular values; S3. Obtain the first k suspenders with the total energy contribution rate 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 overall suspenders of the arch bridge, where k is a predetermined first number; S4. Calculate the cable force deviation of each of the first k suspenders, and combine the sensitivity and the cable force deviation to calculate the importance index of each of the first k suspenders. Among them, 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. Screen the top n suspension rods as key suspension rods in descending order of the importance index, and construct a second influence matrix with the force value influence coefficients of the key suspension rods as matrix elements, where n is a predetermined second number and n is less than k; S6. Obtain an adjusted vector, which is used to represent the difference between the second influence matrix and a preset target influence matrix; S7. Take the adjusted vector as the adjustment amount target, and solve 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 suspension rod; S8. Adjust the cable forces of the key suspension rods in turn according to their respective cable force adjustment amounts in the order of the importance of the key suspension rods; The total energy contribution rate is calculated by the following formula: , In the formula, is the total energy contribution rate of the first k suspension rods; r is the total number of suspension rods of the arch bridge; is the diagonal element corresponding to the th suspension rod in the singular value diagonal matrix in the singular value decomposition; The sensitivity is calculated by the following formula: , In the formula, represents the sensitivity of the th suspension rod to the global suspension rods of the arch bridge; represents the force value influence coefficient of the th suspension rod on the th suspension rod in the first influence matrix; The importance index is calculated by the following formula: , In the formula, represents the importance index of the th suspension rod; represents the cable force deviation of the th suspension rod; represents the maximum value of the sensitivity to the global suspension rods of the arch bridge among the first k suspension rods; represents the maximum value of the cable force deviation among the first k suspension rods; The adjustment vector is obtained by solving the following equation: A'X = B', In the formula, is the second influence matrix; is the adjusted vector; X is the adjustment vector to be solved.

[0006] Further, after adjusting the cable forces of each key suspender, update the finite element model according to the adjustment results, and perform iterative calculations until the absolute value of the cable force deviation is less than or equal to 10%.

[0007] Further, after adjusting the cable forces of all key suspenders, measure the as-built bridge alignment and cable force distribution. If there is a suspender with a cable force deviation exceeding the predetermined deviation threshold, repeat steps S1 - S8 to adjust the cable forces until the absolute value of the maximum cable force deviation of all suspenders is less than or equal to 10% and the alignment error does not exceed the second preset value.

[0008] Further, for the alignment error, the calculation formula is: U = L / 2000, where U is the alignment error; L is the full - bridge span.

[0009] In a second aspect, the present invention provides an arch bridge cable force adjustment device, including a memory and a processor. 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.

[0010] In a third aspect, the present invention provides a computer - readable storage medium, in which at least one program is stored, and the at least one program is executed by the processor to implement the arch bridge cable force adjustment method as described above.

[0011] In a fourth aspect, the present invention provides a computer program product, including a computer program, and when the computer program is executed by a processor, the steps of the arch bridge cable force adjustment method as described above are implemented.

[0012] The above - mentioned technical solutions have the following technical effects: By establishing a parametric finite element model of the arch bridge, applying specific unit forces to each suspender to construct a first influence matrix reflecting the mutual influence between suspenders; through singular value decomposition and extracting the first k suspenders whose total energy contribution rate exceeds the first preset value, calculating their sensitivity to the global suspender cable forces; combining the sensitivity with the difference between the designed cable force value and the measured cable force value of the suspender to calculate the importance index, screening the first n key suspenders with importance 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 suspenders; adjusting the cable forces of the key suspenders 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 adjusting all suspenders, significantly reduces the construction cost, and improves the efficiency and accuracy of cable force adjustment.

[0013] In a further embodiment, by updating the finite element model in a timely manner after each cable force adjustment and repeating the calculation, and combining the error feedback of the measured linear shape and cable force distribution, when the local error exceeds the threshold, the adjustment process is restarted, continuously correcting the model parameters and adjustment strategy, so that the deviation of the hanger cable force is stabilized within a specific range and the linear error meets the standard, thereby accurately matching the design goal, effectively eliminating the problem of inconsistent structural deformation, adaptively correcting the errors caused by complex factors, and achieving the global optimization of the force and shape of the arch bridge structure. BRIEF DESCRIPTION OF THE DRAWINGS

[0014] Figure 1 is a schematic flowchart of a method for adjusting the cable force of an arch bridge according to an embodiment of the present invention; Figure 2 is a schematic structural diagram of a device for adjusting the cable force of an arch bridge according to an embodiment of the present invention. DETAILED DESCRIPTION OF THE EMBODIMENTS

[0015] To further illustrate the embodiments, the present invention provides drawings. These drawings are part of the disclosure of the present invention, which are mainly used to illustrate the embodiments and can be used to explain the operating principle of the embodiments in combination with the relevant descriptions in the specification. With reference to these contents, those of ordinary skill in the art should be able to understand other possible embodiments and the advantages of the present invention. The components in the drawings are not drawn to scale, and similar component symbols are usually used to represent similar components.

[0016] The present invention will be further described below in conjunction with the drawings and specific embodiments.

[0017] Embodiment 1: Figure 1 is a schematic flowchart 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: S1. Establish a parametric finite element model of the arch bridge. By separately applying the same specific unit of force to each hanger of the arch bridge in the parametric finite element model, obtain the force value influence coefficient of each hanger, and construct a first influence matrix with the force value influence coefficient as matrix elements, where the force value influence coefficient is the cable force change value of other hangers caused by separately applying the same specific unit of force to each hanger; in a specific implementation, the matrix element a ij represents the force value influence coefficient of the j-th hanger's unit cable force adjustment on the i-th hanger; if there are a hangers, the first influence matrix composed of the force value influence coefficients of a hangers is an a×a order matrix; S2. Perform singular value decomposition on the first influence matrix, and sort the hangers in descending order of singular values; S3. Obtain the first k hangers with the total energy contribution rate greater than the first preset value according to the sorting result, and calculate the sensitivity of the cable force of each of the first k hangers to the global hangers of the arch bridge, where k is a predetermined first number; In a specific implementation, the total energy contribution rate is calculated by the following formula: , wherein, is the total energy contribution rate of the first k suspenders; r is the total number of arch bridge suspenders; is the diagonal element corresponding to the th suspender in the singular value diagonal matrix of the singular value decomposition; 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, so the truncation order k can be determined; S4. Calculate the cable force deviation of each suspender among the first k suspenders, and combine the sensitivity and the cable force deviation to calculate the importance index of each suspender among the first k suspenders. 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; In a specific implementation, the sensitivity is calculated by the following formula: , wherein, represents the sensitivity of the th suspender to the global suspenders of the arch bridge; represents the force value influence coefficient of the th suspender on the th suspender in the first influence matrix; In a specific implementation, the importance index is calculated by the following formula: , wherein, represents the importance index of the th suspender; represents the cable force deviation of the th suspender; represents the maximum value of the sensitivity of the arch bridge global suspenders among the first k suspenders; represents the maximum value of the cable force deviation among the first k suspenders; S5. Screen the first n suspenders as key suspenders in descending order of the importance index, and construct a second influence matrix with the force value influence coefficients of the key suspenders as matrix elements, where n is a predetermined second number; In a specific implementation, the first n high-importance suspenders are selected as the adjusting components, the corresponding rows and columns of the non-adjusting suspenders are removed, and the first influence matrix is reduced to a second influence matrix of n×n order.

[0018] S6. Obtain the vector to be adjusted, where the vector to be adjusted is used to represent the difference between the second influence matrix and the preset target influence matrix; S7. Taking the adjusted vector as the adjustment amount target, solve the adjustment vector of the second influence matrix, where the adjustment vector is used to represent the cable force adjustment amount that each key suspender needs to apply; In a specific implementation, the adjustment vector is obtained by solving the following equation: A'X = B', In the formula, is the second influence matrix; is the adjusted vector; X is the adjustment vector to be solved; S8. According to the importance order of the key suspenders, adjust the cable forces of the key suspenders in turn according to their respective cable force adjustment amounts; the importance order here is the order from largest to smallest according to the importance index; In a specific implementation, after adjusting the cable force of each key suspender, update the finite element model according to the adjustment result, and perform iterative calculation until the absolute value of the cable force deviation is less than or equal to a predetermined percentage, such as 10%.

[0019] In a specific implementation, after adjusting the cable forces of all key suspenders, measure the actual bridge alignment and cable force distribution. If there are suspenders with cable force deviations exceeding the predetermined deviation threshold, repeat steps S1 - S8 to adjust the cable forces until the absolute value of the maximum cable force deviation of all suspenders is less than or equal to 10% and the alignment error does not exceed the second preset value.

[0020] In a specific implementation, the alignment error is calculated by the following formula: U = L / 2000, In the formula, U is the alignment error; L is the full bridge span.

[0021] Embodiment 2: Figure 2 This is a schematic structural diagram of the arch bridge cable force adjustment device in an embodiment of the present invention, as Figure 2 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 through the bus 203. The memory 202 is used to store program instructions. When the processor executes the computer program, it implements the steps in the above method embodiment of Embodiment 1 of the present invention.

[0022] Further, as an executable solution, the arch bridge cable force adjustment device may be a computer unit, which may be a computing device such as a desktop computer, a notebook, a palm computer, and a cloud server. The computer unit may include, but is not limited to, a processor and a memory. Those skilled in the art can understand that the above-described composition structure of the computer unit is only an example of the computer unit and does not constitute a limitation on the computer unit. It may include more or fewer components than the above, or combine certain components, or different components. For example, the computer unit may further include input / output devices, network access devices, a bus, etc., and the embodiments of the present invention do not make any limitations thereto.

[0023] Further, as an executable solution, the so-called processor may be a central processing unit (CPU), or may also be other general-purpose processors, digital signal processors (DSPs), application specific integrated circuits (ASICs), field-programmable gate arrays (FPGAs), or other programmable logic devices, discrete gate or transistor logic devices, discrete hardware components, etc. The general-purpose processor may be a microprocessor or the processor may also be any conventional processor, etc. The processor is the control center of the computer unit and connects various parts of the entire computer unit through various interfaces and lines.

[0024] The memory may be used to store the computer program and / or module. The processor realizes various functions of the computer unit by running or executing the computer program and / or module stored in the memory, and by calling the data stored in the memory. The memory may mainly include a program storage area and a data storage area. Among them, the program storage area may store an operating system and application programs required for at least one function; the data storage area may store data created according to the use of the mobile phone, etc. In addition, the memory may include high-speed random access memory, and may also include non-volatile memory, such as a hard disk, a memory, a plug-in hard disk, a smart media card (SMC), a secure digital (SD) card, a flash card, at least one magnetic disk storage device, a flash memory device, or other volatile solid-state storage devices.

[0025] Embodiment 3: The present invention also provides a computer-readable storage medium storing a computer program, and when the computer program is executed by a processor, the steps of the method in the above embodiments of the present invention are implemented.

[0026] If the modules / units integrated in the computer unit are implemented in the form of software functional units and sold or used as independent products, they can be stored in a computer-readable storage medium. Based on such an understanding, to implement all or part of the processes in the method of the above embodiments of the present invention, it can also be completed by a computer program instructing relevant hardware. The computer program can be stored in a computer-readable storage medium. When the computer program is executed by a processor, the steps of the above method embodiments can be implemented. Among them, the computer program includes computer program code, and the computer program code can be in the form of source code, object code, executable file or some intermediate forms, etc. The computer-readable medium can include: any entity or device capable of carrying the computer program code, recording medium, USB flash drive, mobile hard disk, magnetic disk, optical disc, computer memory, read-only memory (ROM, Read-Only Memory), random access memory (RAM, Random Access Memory), and software distribution medium, etc. It should be noted that the content included in the computer-readable medium can be appropriately increased or decreased according to the requirements of legislation and patent practice in the jurisdiction.

[0027] Embodiment 4: The present invention also provides a computer program product, including a computer program, and when the computer program is executed by a processor, the steps of the arch bridge cable force adjustment method as described above are implemented.

[0028] Although the present invention has been specifically shown and described in conjunction with the preferred embodiments, those skilled in the art should understand that various changes can be made to the present invention in terms of form and details without departing from the spirit and scope of the present invention defined by the appended claims, and all are within the protection scope of the present invention.

Claims

1. A method for adjusting the cable force of an arch bridge, characterized in that It includes the following steps: S1. Establish a parametric finite element model of the arch bridge. By separately applying the same specific unit of force to each hanger of the arch bridge in the parametric finite element model, obtain the force value influence coefficient of each hanger. Construct a first influence matrix with the force value influence coefficient as matrix elements. The force value influence coefficient is the value of the cable force change of other hangers caused by separately applying the same specific unit of force to each hanger; S2. Perform singular value decomposition on the first influence matrix, and sort the hangers in descending order of singular values; S3. According to the sorting result, obtain the first k hangers with the total energy contribution rate greater than the first preset value, and calculate the sensitivity of the cable force of each hanger among the first k hangers to the global hangers of the arch bridge. k is a predetermined first number; S4. Calculate the cable force deviation of each hanger among the first k hangers. Combining the sensitivity and the cable force deviation, calculate the importance index of each hanger among the first k hangers. Among them, the cable force deviation of a hanger is the ratio of the difference between the pre-designed cable force value and the measured cable force value of the hanger to the pre-designed cable force value; S5. Screen the first n hangers as key hangers in descending order of the importance index. Construct a second influence matrix with the force value influence coefficient of the key hangers as matrix elements. n is a predetermined second number, where n is less than k; S6. Obtain the adjusted vector, and the adjusted vector is used to represent the difference between the second influence matrix and the preset target influence matrix; S7. Taking the adjusted vector as the adjustment amount target, solve the adjustment vector of the second influence matrix. The adjustment vector is used to represent the cable force adjustment amount that needs to be applied to each key hanger; S8. Adjust the cable force of the key hangers in turn according to their respective cable force adjustment amounts in the order of the importance of the key hangers; The total energy contribution rate is calculated by the following formula: ， In the formula, is the total energy contribution rate of the first k suspenders; r is the total number of the arch bridge suspenders; is the diagonal element corresponding to the th suspender in the singular value diagonal matrix of the singular value decomposition; The sensitivity is calculated by the following formula: ， In the formula, represents the sensitivity of the th hanger to the global hangers of the arch bridge; represents the force value influence coefficient of the th hanger on the th hanger in the first influence matrix; The importance index is calculated by the following formula: ， In the formula, represents the importance index of the th suspension rod; represents the cable force deviation of the th suspension rod; represents the maximum value of the global suspension rod sensitivity of the arch bridge among the first k suspension rods; represents the maximum value of the cable force deviation among the first k suspension rods; The adjustment vector is obtained by solving the following equation: A'X = B' In the formula, is the second influence matrix; is the vector to be adjusted; X is the adjusting vector to be solved.

2. The method for adjusting the cable force of an arch bridge according to claim 1, characterized in that After adjusting the cable force of each key hanger, update the finite element model according to the adjustment result, and perform iterative calculation until the absolute value of the cable force deviation is less than or equal to 10%; 3. The method for adjusting the cable force of an arch bridge according to claim 1, characterized in that, After adjusting the cable force of all key hangers, measure the as-built alignment and cable force distribution of the bridge. If there are hangers with cable force deviations exceeding the predetermined deviation threshold, repeat steps S1 - S8 for cable force adjustment until the absolute value of the maximum cable force deviation of all hangers is less than or equal to 10% and the alignment error does not exceed the second preset value; 4. The method for adjusting the cable forces of an arch bridge according to claim 3, wherein The alignment error is calculated by the formula: U = L / 2000 In the formula, U is the alignment error; L is the full bridge span; 5. An arch bridge cable force adjustment device, characterized in that, It includes a memory and a processor. 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 in any one of claims 1 to 4; 6. A computer-readable storage medium, characterized in that, At least one program is stored in the storage medium, and the at least one program is executed by the processor to implement the arch bridge cable force adjustment method as described in 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 the processor, it implements the steps of the arch bridge cable force adjustment method as described in any one of claims 1 to 4.

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