Methods for determining cable forces and related equipment for transversely asymmetric double-cable-stayed bridges

Abstract

This invention discloses a method and related equipment for determining the cable forces of a transversely asymmetrical cable-stayed bridge. The method includes: constructing an initial influence matrix; determining the influence matrices of the upstream and downstream transverse midpoints and the influence matrix of the deformation difference between the upstream and downstream anchorage points based on the initial influence matrix; constructing and optimizing a first optimization model based on first preset parameters and the influence matrices of the upstream and downstream transverse midpoints to obtain the resultant force value of the upstream and downstream cable forces corresponding to each pair of transverse cable stays; determining a second optimization model; optimizing based on the second preset parameters and the second optimization model to obtain the actual ratio of the upstream cable force to the corresponding resultant force value of the upstream and downstream cable forces for each pair of transverse cable stays; and determining the target cable force for each cable stay based on the actual ratio and the resultant force value of the upstream and downstream cable forces for each pair of transverse cable stays. This invention enables faster and more accurate optimization of the cable forces of transversely asymmetrical cable-stayed bridges.

Description

Technical Field

[0001] This application relates to the field of cable force design for completed cable-stayed bridges, specifically to a method for determining the cable force of a transversely asymmetric double-cable-stayed bridge and related equipment. Background Technology

[0002] In recent years, with the rapid development of bridge engineering science and technology, in order to improve land and space utilization, save resources and costs, increase economic efficiency, and simultaneously consider environmental protection and sustainable development needs, the design and construction technology of long-span dual-purpose railway and highway bridges has been continuously innovated and developed. Dual-purpose railway and highway bridges allow for the simultaneous laying of railway and highway infrastructure at the same location, reducing material and construction costs and bringing dual economic benefits to both the road and railway. This aligns with the concept of green development, reduces environmental damage and pollution, and achieves environmental protection and sustainable development.

[0003] Currently, most completed road-rail bridges adopt a symmetrical transverse arrangement, with the highway and railway symmetrically distributed on opposite sides of the bridge. However, in certain situations, due to site constraints on both banks, an asymmetrical arrangement may be used, with the highway and railway independently positioned upstream and downstream of the main beam. This asymmetrical arrangement, however, leads to asymmetrical lateral dead loads, resulting in inconsistent stress distribution upstream and downstream under dead loads. Road-rail bridges typically have large spans, requiring long-span bridge structures, primarily cable-stayed. Therefore, ensuring no elevation difference in the final bridge alignment during the transverse direction is a design challenge for long-span, asymmetrical cable-stayed bridges.

[0004] In existing technologies, the design of transversely asymmetrical cable-stayed bridges often only considers a constant load distribution, setting the cable force on one side to a fixed multiple of that on the other side, and then using the same method as for symmetrical cable-stayed bridges for cable force optimization. While this method is common, it is overly simplistic and fails to adequately consider the effects of bridge stiffness asymmetry and uneven weight distribution. Therefore, it can only serve as a rough method for determining cable forces and cannot precisely control the torsional displacement of the main girder at different locations. In many cases, this can become a bottleneck in the design of long-span bridges, limiting their accuracy and practicality. Summary of the Invention

[0005] This application provides a method, apparatus, equipment, and computer-readable storage medium for determining the cable force of a transversely asymmetric double-cable-stayed bridge, which can solve the technical problems of cumbersome and inaccurate cable adjustment process in the prior art for transversely asymmetric cable-stayed bridges.

[0006] In a first aspect, embodiments of this application provide a method for determining the cable forces of a transversely asymmetric double-cable-stayed bridge upon completion, the method comprising:

[0007] In the finite element model of a transversely asymmetric cable-stayed bridge, an initial influence matrix is ​​constructed;

[0008] Based on the initial influence matrix, determine the influence matrix of the upstream and downstream transverse midpoints and the influence matrix of the deformation difference between the upstream and downstream anchor points;

[0009] Obtain the first preset parameter, and construct the first optimization model based on the first preset parameter and the influence matrix of the upstream and downstream transverse midpoints to optimize and obtain the resultant force value of the upstream and downstream cable forces corresponding to each pair of transverse cable stays;

[0010] The second optimization model is determined based on the influence matrix of the resultant force value of the upstream and downstream cable forces corresponding to each pair of transverse stay cables and the deformation difference of the upstream and downstream anchor points.

[0011] Obtain the second preset parameter, optimize based on the second preset parameter and the second optimization model, and obtain the actual ratio of the upstream cable force to the resultant force of the upstream and downstream cables for each pair of transverse cables;

[0012] The target cable force for each cable is determined based on the actual ratio and the combined force of the upstream and downstream cables corresponding to each pair of transverse cables.

[0013] Secondly, embodiments of this application provide a device for determining the cable force of a transversely asymmetric double-cable-stayed bridge, the device comprising:

[0014] A building block is used to construct the initial influence matrix in a finite element model of a transversely asymmetric cable-stayed bridge.

[0015] The first determining module is used to determine the influence matrix of the upstream and downstream transverse midpoints and the influence matrix of the deformation difference between the upstream and downstream anchor points based on the initial influence matrix.

[0016] The first calculation module is used to obtain the first preset parameters, construct a first optimization model based on the first preset parameters and the influence matrix of the upstream and downstream transverse midpoints, and optimize it to obtain the resultant force value of the upstream and downstream cable forces corresponding to each pair of transverse cable stays.

[0017] The second determining module is used to determine the second optimization model based on the influence matrix of the resultant force value of the upstream and downstream cable forces corresponding to each pair of transverse stay cables and the deformation difference of the upstream and downstream anchor points.

[0018] The second calculation module is used to obtain the second preset parameters, optimize based on the second preset parameters and the second optimization model, and obtain the actual ratio of the upstream cable force to the resultant force of the upstream and downstream cables for each pair of transverse cables.

[0019] The third determining module is used to determine the target cable force of each cable based on the actual ratio and the resultant force value of the upstream and downstream cable forces corresponding to each pair of transverse cables.

[0020] Thirdly, embodiments of this application provide a device for determining the cable force of a transversely asymmetric double-cable-stayed bridge. The device includes a processor, a memory, and a program for determining the cable force of a transversely asymmetric double-cable-stayed bridge stored in the memory and executable by the processor. When the program for determining the cable force of a transversely asymmetric double-cable-stayed bridge is executed by the processor, it implements the steps of the method for determining the cable force of a transversely asymmetric double-cable-stayed bridge as described above.

[0021] Fourthly, embodiments of this application provide a computer-readable storage medium storing a program for determining the cable forces of a transversely asymmetric double-cable-stayed bridge upon completion. When the program is executed by a processor, it implements the steps of the method for determining the cable forces of a transversely asymmetric double-cable-stayed bridge as described above.

[0022] The beneficial effects of the technical solutions provided in this application include:

[0023] 1. Based on the finite element model, the influence matrix only needs to be calculated once, reducing the amount of computation and the computation time;

[0024] 2. By performing two transformations and combinations based on the influence matrix, a simpler and more intuitive optimization mathematical model can be established, reducing the complexity of the optimization model;

[0025] 3. The actual ratio of the upstream cable force to the resultant force of the upstream and downstream cables for each pair of transverse stay cables can be obtained, and the calculation results are highly accurate.

[0026] In summary, this method for solving the cable forces of transversely asymmetrical cable-stayed bridges is clear, easy to understand, simple to calculate, fast, and more accurate. It solves the technical problems of cumbersome and inaccurate cable adjustment processes in existing transversely asymmetrical cable-stayed bridges. Attached Figure Description

[0027] Figure 1 This is a flowchart illustrating the method for determining the cable forces of a transversely asymmetric double-cable-stayed bridge as described in this application.

[0028] Figure 2 For this application Figure 1 A schematic diagram of the upstream and downstream cable-stayed bridge layout;

[0029] Figure 3 For this application Figure 1A flowchart illustrating step S20;

[0030] Figure 4 This is a schematic diagram of the functional modules of the device for determining the cable force of a transversely asymmetric double-cable-stayed bridge in this application.

[0031] Figure 5 This is a schematic diagram of the hardware structure of the device for determining the cable force of a transversely asymmetric double-cable-stayed bridge involved in the embodiments of this application. Detailed Implementation

[0032] To enable those skilled in the art to better understand the present application, the technical solutions in the embodiments of the present application will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present application, and not all embodiments. Based on the embodiments in the present application, all other embodiments obtained by those of ordinary skill in the art without creative effort are within the scope of protection of the present application.

[0033] First, some of the technical terms used in this application will be explained to help those skilled in the art understand this application.

[0034] To make the objectives, technical solutions, and advantages of this application clearer, the embodiments of this application will be described in further detail below with reference to the accompanying drawings.

[0035] In a first aspect, embodiments of this application provide a method for determining the cable force of a transversely asymmetric double-cable-stayed bridge upon completion.

[0036] In one embodiment, reference is made to Figure 1 , Figure 1 This is a flowchart illustrating the method for determining the cable forces of a laterally asymmetric double-cable-stayed bridge as described in this application. Figure 1 As shown, the method for determining the cable force of a transversely asymmetric double-cable-stayed bridge includes:

[0037] Step S10: Construct the initial influence matrix in the finite element model of the transversely asymmetric cable-stayed bridge;

[0038] In this embodiment, in the finite element model of a transversely asymmetric cable-stayed bridge, the deformation results of the cable anchorage points obtained by sequentially tensioning each cable are used to construct an initial influence matrix. The deformation results include, but are not limited to, vertical displacement, lateral displacement, and angular displacement.

[0039] Furthermore, in one embodiment, the step of constructing the initial influence matrix in the finite element model of a transversely asymmetric cable-stayed bridge includes:

[0040] A finite element model of a transversely asymmetric cable-stayed bridge is established, and n pairs of transverse stay cables are set, where n is a positive integer;

[0041] In this embodiment, some existing finite element software is used to establish a finite element model of a transversely asymmetrical cable-stayed bridge according to the material properties, cross-sectional dimensions, boundary conditions, and construction sequence of the construction drawings. n pairs of transverse cables are set, and each pair of transverse cables includes one upstream cable and one downstream cable (Note: it can also be understood as the upstream and downstream cables of each pair of transverse cables), where n is a positive integer.

[0042] Each stay cable is tensioned with a unit cable force, and the deformation results of the upstream and downstream stay cable anchorage points are obtained, forming the initial influence matrix:

[0043]

[0044] Among them, [M 0_up [M] indicates the first deformation result, which is the deformation result of the anchorage points of the upstream and downstream stay cables when each upstream stay cable is tensioned with a unit cable force; 0_down [M] indicates the second deformation result, which is the deformation result of the anchorage points of the upstream and downstream stay cables when each downstream stay cable is tensioned with a unit cable force; 0_up_up [M] indicates the third deformation result, which is the deformation result of the anchorage point of the upstream cable when each upstream cable is tensioned with a unit cable force; 0_up_down [M] indicates the fourth deformation result, which is the deformation result of the upstream stay cable anchorage point when each downstream stay cable is tensioned with a unit cable force; 0_down_up [M] indicates the fifth deformation result, which is the deformation result of the anchorage point of the downstream stay cable when each upstream stay cable is tensioned with a unit cable force; o_down_down The sixth deformation result is the deformation result of the anchorage point of the downstream cable when each downstream cable is tensioned with a unit cable force.

[0045] In this embodiment, since each stay cable is tensioned with a unit force, all stay cable anchor points will have a corresponding deformation result. Therefore, when each stay cable is tensioned with a unit force, an initial influence matrix is ​​formed based on the obtained deformation results of the stay cable anchor points. The formed initial influence matrix is ​​as follows: For example, refer to... Figure 2 , Figure 2 For this application Figure 1 A schematic diagram showing the distribution of upstream and downstream stay cables in a cable-stayed bridge. (See diagram below.) Figure 2As shown, there are 15 pairs of transverse stay cables, with stay cables 1-15 being upstream cables and stay cables 16-30 being downstream cables. When stay cable 1 is tensioned with a unit force, all anchor points of stay cables 1-30 will deform. Similarly, when the other stay cables are tensioned with a unit force, the anchor points of stay cables 1-30 will also deform. Therefore, when each stay cable is tensioned with a unit force, the deformation results of 30×30 cable anchor points will be obtained. These 30×30 cable anchor point deformation results are then used as the initial influence matrix, which is as follows:

[0046]

[0047] Among them, [M 0_up [M] indicates the first deformation result, which is the deformation result of the anchorage points of cables 1 to 30 when cables 1 to 15 are tensioned with a unit cable force; 0_down [M] indicates the second deformation result, which is the deformation result of the anchorage points of cables 1 to 30 when cables 16 to 30 are tensioned with a unit cable force; 0_up_up [M] indicates the third deformation result, which is the deformation result of the anchorage points of stay cables 1 to 15 when tensioned with unit cable force; 0_up_down [M] indicates the fourth deformation result, which is the deformation result of the anchorage points of cables 1 to 15 when cables 16 to 30 are tensioned with a unit cable force; 0_down_up [M] indicates the fifth deformation result, which is the deformation result of the anchorage points of cables 16-30 when cables 1-15 are tensioned with unit cable force; 0_down_down The symbol ] represents the sixth deformation result, which is the deformation result of the anchorage points of cables 16 to 30 when cables 16 to 30 are tensioned with a unit cable force. It should be noted that the content listed in this embodiment is only for those skilled in the art to better understand the technical solution in this embodiment, and is not intended to be a specific limitation.

[0048] Step S20: Determine the influence matrix of the upstream and downstream transverse midpoints and the influence matrix of the deformation difference between the upstream and downstream anchoring points based on the initial influence matrix;

[0049] In this embodiment, the deformation results of the upstream and downstream anchor points of each pair of transverse stay cables are extracted from the initial influence matrix. The influence matrix of the upstream and downstream transverse midpoints is obtained by calculating the average value of the deformation results of the upstream and downstream anchor points of each pair of transverse stay cables. The influence matrix of the deformation difference of the upstream and downstream anchor points is obtained by calculating the difference of the deformation results of the upstream and downstream anchor points of each pair of transverse stay cables.

[0050] Furthermore, in one embodiment, reference is made to Figure 3 , Figure 3 For this application Figure 1 A flowchart illustrating step S20. (See attached diagram.) Figure 3 As shown, the steps of determining the influence matrix of the upstream and downstream transverse midpoints and the influence matrix of the deformation difference between the upstream and downstream anchoring points based on the initial influence matrix include:

[0051] Step S201: Determine the deformation results of the upstream and downstream anchorage points of each pair of transverse stay cables when each stay cable is tensioned with a unit cable force, based on the first deformation result and the second deformation result.

[0052] In this embodiment, the first deformation result is the deformation result of the anchorage points of the upstream and downstream stay cables when each upstream stay cable is tensioned with a unit cable force (the deformation result of the anchorage points of the upstream and downstream stay cables includes the deformation result of the anchorage points of the upstream stay cables and the deformation result of the anchorage points of the downstream stay cables). The second deformation result is the deformation result of the anchorage points of the upstream and downstream stay cables when each downstream stay cable is tensioned with a unit cable force. Since there is a corresponding relationship between the upstream and downstream stay cables of the same pair of transverse stay cables during each tensioning process with a unit cable force, the deformation result of the anchorage points of the upstream and downstream stay cables of each pair of transverse stay cables is further determined based on the first deformation result and the second deformation result.

[0053] Step S202: Calculate the average value of the deformation results of the upstream and downstream anchor points of each pair of transverse stay cables to obtain the deformation results of the upstream and downstream transverse midpoints of each pair of transverse stay cables; determine the influence matrix of the upstream and downstream transverse midpoints based on the deformation results of all upstream and downstream transverse midpoints.

[0054] In this embodiment, the midpoints of the upstream and downstream transverse cables of a pair of transverse stay cables are located midway between the upstream and downstream anchor points of the transverse stay cable. Simultaneously, the deformation results of the midpoints are jointly influenced by the deformation results of both the upstream and downstream anchor points. Therefore, by averaging the deformation results of the upstream and downstream anchor points of each pair of transverse stay cables, the deformation results of the midpoints of the upstream and downstream transverse stay cables for each pair can be obtained, further determining the influence matrix of the midpoints. Step S203 involves calculating the difference between the deformation results of the upstream and downstream anchor points of each pair of transverse stay cables to obtain the deformation difference between the upstream and downstream anchor points of each pair of transverse stay cables, thereby determining the influence matrix of the deformation difference between the upstream and downstream anchor points.

[0055] In this embodiment, since the deformation results of the upstream and downstream anchor points of a pair of transverse stay cables include the deformation results of the upstream anchor point and the downstream anchor point of the transverse stay cable, the difference between the deformation results of the upstream and downstream anchor points of each pair of transverse stay cables is calculated to obtain the deformation difference between the upstream and downstream anchor points of each pair of transverse stay cables, and the influence matrix of the deformation difference between the upstream and downstream anchor points is further determined.

[0056] Step S30: Obtain the first preset parameter, construct the first optimization model based on the first preset parameter and the influence matrix of the upstream and downstream transverse midpoints, and optimize it to obtain the resultant force value of the upstream and downstream cable forces corresponding to each pair of transverse cable stays;

[0057] In this embodiment, a first preset parameter is set in advance, and a first optimization model is constructed based on the first preset parameter and the influence matrix of the upstream and downstream transverse midpoints for optimization (e.g., the first optimization model is a least squares optimization model). The upstream cable force corresponding to each pair of transverse stay cables is superimposed with the corresponding downstream cable force to obtain the resultant force value of the upstream and downstream cable forces corresponding to each pair of transverse stay cables.

[0058] Further, in one embodiment, the step of obtaining a first preset parameter, constructing a first optimization model based on the first preset parameter and the influence matrix of the upstream and downstream transverse midpoints, and optimizing to obtain the resultant force value of the upstream and downstream cable forces corresponding to each pair of transverse stay cables includes:

[0059] Obtain the first preset parameters, wherein the first preset parameters include the initial cable force of each cable, the target deformation result of the upstream and downstream transverse midpoints, the allowable deviation of the target deformation result, and the allowable deviation value of the cable force of the cable.

[0060] In this embodiment, to ensure that the deformation results at the upstream and downstream transverse midpoints conform to a reasonable bridge alignment, the initial cable force of each stay cable (Note: In the finite element model of a transversely asymmetrical cable-stayed bridge, the initial cable force of each stay cable is generated based on the distribution of the model structure's self-weight and dead load, and can be directly obtained), the target deformation results at the upstream and downstream transverse midpoints, the allowable deviation of the target deformation results, and the allowable deviation value of the stay cable force are obtained. For example, the target deformation result is the target vertical displacement, the target vertical displacement at the upstream and downstream transverse midpoints is 0 mm, the allowable deviation of the target vertical displacement is (20,20) mm, and the allowable maximum tension of the stay cable is (-5000,5000) kN. The initial cable force of each stay cable, the target deformation results at the upstream and downstream transverse midpoints, the allowable deviation of the target deformation results, and the allowable deviation value of the stay cable force are used as the first preset parameters. It should be noted that the content listed in this embodiment is only for those skilled in the art to better understand the technical solution in this embodiment, and is not intended to limit the scope of the invention.

[0061] Based on the initial cable force of each cable, the target deformation results of the upstream and downstream transverse midpoints, the allowable deviation of the target deformation results, and the allowable deviation of the cable force, the influence matrix of the upstream and downstream transverse midpoints is optimized using the least squares method to obtain the cable force of each cable; and the resultant force value of the upstream and downstream cable forces corresponding to each pair of transverse cables is determined according to the cable force of each cable.

[0062] In this embodiment, based on the initial cable force of each stay cable, the target deformation results of the upstream and downstream transverse midpoints, the allowable deviation of the target deformation results, and the allowable deviation of the stay cable force, the influence matrix of the upstream and downstream transverse midpoints is optimized using the least squares method to calculate the cable force of each stay cable. Based on the cable force of each stay cable, the upstream cable force and the corresponding downstream cable force of each pair of transverse stay cables are determined. Furthermore, the resultant force value of the upstream and downstream cable forces of each pair of transverse stay cables is determined, so that the deformation results of the upstream and downstream transverse midpoints conform to the reasonable bridge alignment.

[0063] Step S40: Determine the second optimization model based on the resultant force value of the upstream and downstream cable forces corresponding to each pair of transverse stay cables and the influence matrix of the deformation difference between the upstream and downstream anchor points.

[0064] In this embodiment, it is necessary to allocate the cable force of the upstream cable and the corresponding downstream cable for each pair of transverse stay cables. Combining the influence matrix of the deformation difference between the upstream and downstream anchor points obtained earlier, a second optimization model is further determined to calculate the cable force allocation ratio of the upstream cable and the corresponding downstream cable for each pair of transverse stay cables.

[0065] Further, in one embodiment, the step of determining the second optimization model based on the influence matrix of the resultant force value of the upstream and downstream stay cables and the deformation difference of the upstream and downstream anchor points for each pair of transverse stay cables includes:

[0066] A first unknown function is selected to determine the initial ratio of the upstream cable force to the resultant force of the corresponding upstream and downstream cables for each pair of transverse stay cables. This first unknown function is:

[0067] {r}={r1 r2 r i … r n} T

[0068] Where, r i This represents the initial ratio of the upstream cable force corresponding to the i-th pair of transverse stay cables to the resultant force of the corresponding upstream and downstream cable forces, and T represents transpose, converting the row vector into a column vector.

[0069] In this embodiment, since only the resultant force values ​​of the upstream and downstream stay cables corresponding to each pair of transverse stay cables are currently known, it is possible to ensure that the deformation results at the midpoints of the upstream and downstream transverse stays conform to a reasonable bridge alignment, but it is impossible to guarantee that the transverse bridge decks of the cable-stayed bridge are on the same horizontal plane. Therefore, a first unknown function can be selected to determine the initial ratio of the upstream stay cable force to the resultant force value of the corresponding upstream and downstream stay cables for each pair of transverse stay cables. That is, assuming an initial ratio of the upstream stay cable force to the resultant force value of the corresponding upstream and downstream stay cables for each pair of transverse stay cables, the first unknown function is:

[0070] {r}={r1 r2 r i … r n} T

[0071] Where, r i This represents the initial ratio of the upstream cable force corresponding to the i-th pair of transverse stay cables to the resultant force of the corresponding upstream and downstream stay cables. T represents transpose, converting the row vector into a column vector.

[0072] In this embodiment, based on the first unknown function and the resultant force values ​​of the upstream and downstream cable forces corresponding to each pair of transverse stay cables, the second unknown function of the upstream cable force corresponding to each pair of transverse stay cables and the third unknown function of the downstream cable force corresponding to each pair of transverse stay cables are calculated. The second unknown function is:

[0073] [T sum ]{r}=diag({F sum}){r}

[0074] Among them, {F sun} represents the column vector of the resultant force values ​​of the upstream and downstream stay cables corresponding to each pair of transverse stay cables, diag({F sum}) represents converting the column vector of the resultant force values ​​of the upstream and downstream stay cables corresponding to each pair of transverse stay cables into a diagonal matrix;

[0075] The third unknown function is:

[0076] [T sum ]({e}-{r})=diag({F sum})({e}-{r})

[0077] Here, {e} represents a column vector where every element is 1, and {e} = {1 1 ... 1}. T .

[0078] In this embodiment, based on the second unknown function, the third unknown function, the first deformation result, and the second deformation result, a fourth unknown function is calculated to obtain the deformation result of the upstream and downstream cable anchorage points of each pair of transverse stay cables. The fourth unknown function is:

[0079] {δ1}=[M 0_up [T] sum ]{r}+[M 0_down [T] sum ]({e}-{r})

[0080] Simplifying the fourth unknown function, we obtain the fifth unknown function, which is:

[0081]

[0082] In this embodiment, based on the fifth unknown function and the influence matrix of the deformation difference between the upstream and downstream anchor points, the sixth unknown function of the deformation difference between the upstream and downstream anchor points of each pair of transverse stay cables is calculated. The sixth unknown function is:

[0083] {Δδ1}=([M 0_up_up ]-[M 0_down_up ]-[M 0_up_down ]+[M 0_down_down ])[T sum ]{r}+([M 0_up_down ]-[M 0_down_down ])[T sum ]{e}

[0084] The second optimization model is determined based on the sixth unknown function. The second optimization model is as follows:

[0085] {Δδ′1}=[M]{r}+{c}

[0086] [M]=([M 0_up_up ]-[M 0_down_up ]-[M 0_up_down ]+[M 0_down_down ])[T sum ]

[0087] {c}=([M 0_up_down ]-[M 0_down_down ])[T sum ]{e}

[0088] In this context, [M] and {c} are both constants.

[0089] Step S50: Obtain the second preset parameters, optimize based on the second preset parameters and the second optimization model, and obtain the actual ratio of the upstream cable force to the resultant force of the upstream and downstream cables for each pair of transverse stay cables;

[0090] In this embodiment, a second preset parameter is obtained and used as a constraint optimization condition to perform constraint optimization on the second optimization model. Then, the actual ratio of the upstream cable force to the resultant force of the upstream and downstream cables for each pair of transverse stay cables is calculated, resulting in a more accurate calculation result.

[0091] Further, in one embodiment, the step of obtaining the second preset parameter, optimizing based on the second preset parameter and the second optimization model, and obtaining the actual ratio of the upstream cable force to the resultant force of the corresponding upstream and downstream cables for each pair of transverse stay cables includes:

[0092] Obtain a second preset parameter, wherein the second preset parameter includes the target deformation difference between the upstream and downstream anchor points of the transverse cable, the allowable deviation of the target deformation difference, the initial ratio of the upstream cable force to the resultant force of the corresponding upstream and downstream cables for each pair of transverse cables, and the allowable deviation of the initial ratio.

[0093] In this embodiment, a second preset parameter is obtained, which includes the target deformation difference between the upstream and downstream anchorage points of the transverse stay cable, the allowable deviation of the target deformation difference, the initial ratio of the upstream stay cable force to the combined force of the corresponding upstream and downstream stay cables for each pair of transverse stay cables, and the allowable deviation of the initial ratio. For example, the target deformation difference between the upstream and downstream anchorage points of the transverse stay cable is 0 mm, the allowable deviation of the target deformation difference is (-20, 20) mm, and the initial ratio of the upstream stay cable force to the combined force of the corresponding upstream and downstream stay cables for each pair of transverse stay cables is {r} = {0.5 0.5 ... 0.5}. T The allowable deviation of the initial ratio (0.4, 0.8) is used as a second preset parameter, along with the target deformation difference between the upstream and downstream anchorage points of the transverse stay cable, the allowable deviation of the target deformation difference, the initial ratio of the upstream stay cable force to the resultant force of the corresponding upstream and downstream stay cables for each pair of transverse stay cables, and the allowable deviation of the initial ratio. It should be noted that the content listed in this embodiment is only for those skilled in the art to better understand the technical solution in this embodiment, and is not intended to be a specific limitation.

[0094] Based on the target deformation difference between the upstream and downstream anchor points of the transverse stay cables, the allowable deviation of the target deformation difference, the initial ratio of the upstream stay cable force to the resultant force of the corresponding upstream and downstream stay cables for each pair of transverse stay cables, and the allowable deviation of the initial ratio, the target optimization model is optimized using the least squares method to obtain the actual ratio of the upstream stay cable force to the resultant force of the corresponding upstream and downstream stay cables for each pair of transverse stay cables.

[0095] In this embodiment, the target deformation difference and the allowable deviation of the target deformation difference at the upstream and downstream anchor points of the transverse stay cables are used as constraints. The initial ratio of the upstream stay cable force to the resultant force of the corresponding upstream and downstream stay cables for each pair of transverse stay cables and the allowable deviation of the initial ratio are used as optimization conditions. The least squares method is used for constraint optimization in combination with the target optimization model to obtain the actual ratio of the upstream stay cable force to the resultant force of the corresponding upstream and downstream stay cables for each pair of transverse stay cables. This calculation result has higher accuracy.

[0096] Step S60: Determine the target cable force for each cable based on the actual ratio and the combined force of the upstream and downstream cables corresponding to each pair of transverse cables.

[0097] In this embodiment, the upstream cable force of each pair of transverse cables can be calculated based on the actual ratio and the combined force of the upstream and downstream cables corresponding to each pair of transverse cables. Furthermore, the downstream cable force of each pair of transverse cables can be calculated, thereby further determining the target cable force of each cable.

[0098] Further, in one embodiment, the step of determining the target cable force of each cable based on the actual ratio and the resultant force value of the upstream and downstream cable forces corresponding to each pair of transverse cables includes:

[0099] Multiply the resultant force of the upstream and downstream cables corresponding to each pair of transverse cables by the corresponding actual ratio to obtain the upstream cable force corresponding to each pair of transverse cables.

[0100] In this embodiment, since each pair of transverse stay cables corresponds to a resultant force value of the upstream and downstream stay cables and an actual ratio, the upstream stay cable force corresponding to each pair of transverse stay cables can be obtained by multiplying the resultant force value of the upstream and downstream stay cables corresponding to each pair of transverse stay cables by the corresponding actual ratio. For example, if the resultant force value of the upstream and downstream stay cables corresponding to a pair of transverse stay cables is 2000kN and the corresponding actual ratio is 0.6, then the calculated upstream stay cable force corresponding to that pair of transverse stay cables is 1200kN. It should be noted that the content listed in this embodiment is only for those skilled in the art to better understand the technical solution in this embodiment, and is not intended to be a specific limitation.

[0101] The downstream cable force for each pair of transverse stay cables is obtained by subtracting the upstream cable force from the resultant force of the upstream and downstream cable forces for each pair of transverse stay cables.

[0102] In this embodiment, the downstream cable force corresponding to each pair of transverse stay cables is obtained by subtracting the upstream cable force from the resultant force of the upstream and downstream stay cables. For example, if the resultant force of the upstream and downstream stay cables corresponding to a pair of transverse stay cables is 2000kN, and the upstream cable force is 1200kN, subtracting 1200kN from 2000kN yields a downstream cable force of 800kN. It should be noted that the content listed in this embodiment is only for those skilled in the art to better understand the technical solution in this embodiment, and is not intended to limit the scope of the invention.

[0103] The target cable force for each cable is determined based on the upstream cable force and the corresponding downstream cable force for each pair of transverse cables.

[0104] In this embodiment, the upstream cable force and the downstream cable force corresponding to each pair of transverse stay cables are known, which is equivalent to determining the target cable force of each stay cable.

[0105] In this embodiment, the upstream cable force for each pair of transverse stay cables is obtained by multiplying the resultant force value of the upstream and downstream cable forces corresponding to each pair of transverse stay cables by the corresponding actual ratio; the downstream cable force for each pair of transverse stay cables is obtained by subtracting the corresponding upstream cable force from the resultant force value of the upstream and downstream cable forces corresponding to each pair of transverse stay cables. Determining the target cable force for each stay cable based on the upstream and downstream cable forces corresponding to each pair of transverse stay cables solves the technical problem of cumbersome and inaccurate cable adjustment processes in existing transverse asymmetric cable-stayed bridges.

[0106] In this embodiment, a transversely asymmetric cable-stayed bridge finite element model is constructed using finite element software. Each cable is tensioned individually with a unit cable force within this model, yielding an initial influence matrix. This initial influence matrix only needs to be calculated once, reducing computational load and time. The initial influence matrix is ​​then combined through two deformations to obtain the influence matrices for the upstream and downstream transverse midpoints and the influence matrix for the deformation difference between the upstream and downstream anchorage points. This allows for a simpler and more intuitive optimization model, reducing model complexity. A first optimization model is constructed using the first preset parameters and the influence matrices for the upstream and downstream transverse midpoints to optimize the cable force of each cable, thereby obtaining the optimal cable force for each cable. For the resultant force values ​​of the upstream and downstream stay cables corresponding to the transverse stay cables, it can be ensured that the deformation results at the midpoints of the upstream and downstream transverse stays conform to the reasonable bridge alignment, but it cannot be guaranteed that the transverse bridge deck of the cable-stayed bridge is on the same horizontal plane. Therefore, it is necessary to determine a second optimization model based on the influence matrix of the resultant force values ​​of the upstream and downstream stay cables corresponding to each pair of transverse stay cables and the deformation difference between the upstream and downstream anchor points. Then, combined with the second preset parameters, constraint optimization is performed to solve for the actual ratio of the upstream stay cable force to the corresponding resultant force value of the upstream and downstream stay cables for each pair of transverse stay cables. This calculation result has higher accuracy. According to the actual ratio, the cable force of each pair of transverse stay cables is distributed to obtain the target cable force of each stay cable. This solves the technical problems of cumbersome and inaccurate cable adjustment process in transverse asymmetric cable-stayed bridges in the prior art.

[0107] Secondly, embodiments of this application also provide a device for determining the cable force of a transversely asymmetric double-cable-stayed bridge.

[0108] In one embodiment, reference is made to Figure 4 , Figure 4 This is a schematic diagram of the functional modules of the transversely asymmetric double-cable-stayed bridge cable force determination device of this application. Figure 4 As shown, the device for determining the cable force of a transversely asymmetric double-cable-stayed bridge includes:

[0109] Module 10 is used to construct the initial influence matrix in the finite element model of a transversely asymmetric cable-stayed bridge;

[0110] The first determining module 20 is used to determine the influence matrix of the upstream and downstream transverse midpoints and the influence matrix of the deformation difference between the upstream and downstream anchor points based on the initial influence matrix.

[0111] The first calculation module 30 is used to obtain the first preset parameters, construct a first optimization model based on the first preset parameters and the influence matrix of the upstream and downstream transverse midpoints, and optimize it to obtain the resultant force value of the upstream and downstream cable forces corresponding to each pair of transverse cable stays.

[0112] The second determining module 40 is used to determine the second optimization model based on the influence matrix of the resultant force value of the upstream and downstream cable forces corresponding to each pair of transverse stay cables and the deformation difference of the upstream and downstream anchor points.

[0113] The second calculation module 50 is used to obtain the second preset parameters, optimize based on the second preset parameters and the second optimization model, and obtain the actual ratio of the upstream cable force of each pair of transverse cable to the resultant force of the corresponding upstream and downstream cable forces.

[0114] The third determining module 60 is used to determine the target cable force of each cable based on the actual ratio and the resultant force value of the upstream and downstream cable forces corresponding to each pair of transverse cables.

[0115] Furthermore, in one embodiment, the construction module 10 is specifically used for:

[0116] A finite element model of a transversely asymmetric cable-stayed bridge is established, and n pairs of transverse stay cables are set, where n is a positive integer;

[0117] Each stay cable is tensioned with a unit cable force, and the deformation results of the upstream and downstream stay cable anchorage points are obtained, forming the initial influence matrix:

[0118]

[0119] Among them, [M 0_up [M] indicates the first deformation result, which is the deformation result of the anchorage points of the upstream and downstream stay cables when each upstream stay cable is tensioned with a unit cable force; 0_down [M] indicates the second deformation result, which is the deformation result of the anchorage points of the upstream and downstream stay cables when each downstream stay cable is tensioned with a unit cable force; 0_up_up [M] indicates the third deformation result, which is the deformation result of the anchorage point of the upstream cable when each upstream cable is tensioned with a unit cable force; 0_up_down [M] indicates the fourth deformation result, which is the deformation result of the upstream stay cable anchorage point when each downstream stay cable is tensioned with a unit cable force; 0_down_up [M] indicates the fifth deformation result, which is the deformation result of the anchorage point of the downstream stay cable when each upstream stay cable is tensioned with a unit cable force; 0_down_down The sixth deformation result is the deformation result of the anchorage point of the downstream cable when each downstream cable is tensioned with a unit cable force.

[0120] Furthermore, in one embodiment, the first determining module 20 is specifically used for:

[0121] Based on the first deformation result and the second deformation result, determine the deformation result of the upstream and downstream anchorage points of each pair of transverse stay cables when each stay cable is tensioned with a unit cable force;

[0122] The average value of the deformation results of the upstream and downstream anchor points of each pair of transverse stay cables is calculated to obtain the deformation results of the upstream and downstream transverse midpoints of each pair of transverse stay cables.

[0123] The influence matrix of the upstream and downstream horizontal midpoints is determined based on the deformation results of all upstream and downstream horizontal midpoints.

[0124] The difference between the deformation results of the upstream and downstream anchor points of each pair of transverse stay cables is obtained by calculating the deformation difference between the upstream and downstream anchor points of each pair of transverse stay cables.

[0125] The influence matrix of the deformation difference of the upstream and downstream anchor points is determined based on the deformation difference of all upstream and downstream anchor points.

[0126] Furthermore, in one embodiment, the first computing module 30 is specifically used for:

[0127] Obtain the first preset parameters, wherein the first preset parameters include the initial cable force of each cable, the target deformation result of the upstream and downstream transverse midpoints, the allowable deviation of the target deformation result, and the allowable deviation value of the cable force of the cable.

[0128] Based on the initial cable force of each cable, the target deformation results of the upstream and downstream lateral midpoints, the allowable deviation of the target deformation results and the allowable deviation of the cable force, and the influence matrix of the upstream and downstream lateral midpoints, the least squares method is used for optimization to obtain the cable force of each cable.

[0129] The resultant force value of the upstream and downstream cable forces corresponding to each pair of transverse cable stays is determined based on the cable force of each cable stay.

[0130] Furthermore, in one embodiment, the second determining module 40 is specifically used for:

[0131] A first unknown function is selected to determine the initial ratio of the upstream cable force to the resultant force of the corresponding upstream and downstream cables for each pair of transverse stay cables. This first unknown function is:

[0132] {r}={r1 r2 r i … r n ) T

[0133] Where, r i This represents the initial ratio of the upstream cable force corresponding to the i-th pair of transverse stay cables to the resultant force of the corresponding upstream and downstream cable forces, and T represents transpose, converting the row vector into a column vector.

[0134] Based on the first unknown function and the resultant force values ​​of the upstream and downstream stay cables corresponding to each pair of transverse stay cables, the second unknown function of the upstream stay cable force corresponding to each pair of transverse stay cables and the third unknown function of the downstream stay cable force corresponding to each pair of transverse stay cables are calculated. The second unknown function is:

[0135] [T sum ]{r}=diag({F sum ]){r}

[0136] Among them, {F sum} represents the column vector of the resultant force values ​​of the upstream and downstream stay cables corresponding to each pair of transverse stay cables, diag({F sum}) represents converting the column vector of the resultant force values ​​of the upstream and downstream stay cables corresponding to each pair of transverse stay cables into a diagonal matrix;

[0137] The third unknown function is:

[0138] [T sum ]({e}-{r})=diag({F sum})({e}-{r)

[0139] Here, {e} represents a column vector where every element is 1, and {e} = {1 1 ... 1}. T ;

[0140] Based on the second unknown function, the third unknown function, the first deformation result, and the second deformation result, a fourth unknown function is calculated to obtain the deformation result of the upstream and downstream cable anchorage points of each pair of transverse stay cables. The fourth unknown function is:

[0141] {δ1}=[M 0_up [T] sum ]{r}+[M 0_down [T] sum ]({e}-{r})

[0142] Simplifying the fourth unknown function, we obtain the fifth unknown function, which is:

[0143]

[0144] Based on the fifth unknown function and the influence matrix of the deformation difference between the upstream and downstream anchor points, the sixth unknown function of the deformation difference between the upstream and downstream anchor points of each pair of transverse stay cables is calculated. The sixth unknown function is:

[0145] {Δδ1}=([M 0_up_up ]-[M 0_down_up ]-[M 0_up_down ]+[M 0_down_down])[T sum ]{r}+([M 0_up_down ]-M 0_down_down ])[T sum ]{e}

[0146] The second optimization model is determined based on the sixth unknown function. The second optimization model is as follows:

[0147] {Δδ′1}=[M]{r}+{c}

[0148] [M]=([M 0_up_up ]-[M 0_down_up ]-[M 0_up_down ]+[M 0_down_down ])[T sum ]

[0149] {c}=([M 0_up_down ]-[M 0_down_down ])[ Tsum ]{e}

[0150] In this context, [M] and {c} are both constants.

[0151] Furthermore, in one embodiment, the second computing module 50 is specifically used for:

[0152] Obtain a second preset parameter, wherein the second preset parameter includes the target deformation difference between the upstream and downstream anchor points of the transverse cable, the allowable deviation of the target deformation difference, the initial ratio of the upstream cable force to the resultant force of the corresponding upstream and downstream cables for each pair of transverse cables, and the allowable deviation of the initial ratio.

[0153] Based on the target deformation difference between the upstream and downstream anchor points of the transverse stay cables, the allowable deviation of the target deformation difference, the initial ratio of the upstream stay cable force to the resultant force of the corresponding upstream and downstream stay cables for each pair of transverse stay cables, and the allowable deviation of the initial ratio, the target optimization model is optimized using the least squares method to obtain the actual ratio of the upstream stay cable force to the resultant force of the corresponding upstream and downstream stay cables for each pair of transverse stay cables.

[0154] Furthermore, in one embodiment, the third determining module 60 is specifically used for:

[0155] Multiply the resultant force of the upstream and downstream cables corresponding to each pair of transverse cables by the corresponding actual ratio to obtain the upstream cable force corresponding to each pair of transverse cables.

[0156] The downstream cable force for each pair of transverse stay cables is obtained by subtracting the upstream cable force from the resultant force of the upstream and downstream cable forces for each pair of transverse stay cables.

[0157] The target cable force for each cable is determined based on the upstream cable force and the corresponding downstream cable force for each pair of transverse cables.

[0158] The functions of each module in the above-mentioned transverse asymmetric double-cable-stayed bridge cable force determination device correspond to the steps in the above-mentioned transverse asymmetric double-cable-stayed bridge cable force determination method embodiment, and their functions and implementation processes will not be described in detail here.

[0159] Thirdly, this application provides a device for determining the cable force of a transversely asymmetric double-cable-stayed bridge. The device for determining the cable force of a transversely asymmetric double-cable-stayed bridge can be a personal computer (PC), a laptop computer, a server, or other device with data processing capabilities.

[0160] Reference Figure 5 , Figure 5 This is a schematic diagram of the hardware structure of the device for determining the cable force of a transversely asymmetric double-cable-stayed bridge as described in the embodiments of this application. In this embodiment, the device for determining the cable force of a transversely asymmetric double-cable-stayed bridge may include a processor, a memory, a communication interface, and a communication bus.

[0161] The communication bus can be of any type and is used to interconnect the processor, memory, and communication interface.

[0162] The communication interface includes input / output (I / O) interfaces, physical interfaces, and logical interfaces. These interfaces are used for interconnecting components within the device for determining the cable forces of a laterally asymmetric double-cable-stayed bridge, and for interconnecting the device with other devices (such as other computing devices or user equipment). Physical interfaces can be Ethernet interfaces, fiber optic interfaces, ATM interfaces, etc.; user equipment can be displays, keyboards, etc.

[0163] Memory can be various types of storage media, such as random access memory (RAM), read-only memory (ROM), non-volatile RAM (NVRAM), flash memory, optical storage, hard disk, programmable ROM (PROM), erasable PROM (EPROM), electrically erasable PROM (EEPROM), etc.

[0164] The processor can be a general-purpose processor, which can call the program for determining the cable forces of a transversely asymmetric double-cable-stayed bridge stored in memory and execute the method for determining the cable forces of a transversely asymmetric double-cable-stayed bridge provided in the embodiments of this application. For example, the general-purpose processor can be a central processing unit (CPU). The method executed when the program for determining the cable forces of a transversely asymmetric double-cable-stayed bridge is called can refer to the various embodiments of the method for determining the cable forces of a transversely asymmetric double-cable-stayed bridge in this application, and will not be repeated here.

[0165] Those skilled in the art will understand that Figure 5 The hardware structure shown does not constitute a limitation of this application and may include more or fewer components than shown, or combine certain components, or have different component arrangements.

[0166] Fourthly, embodiments of this application also provide a computer-readable storage medium.

[0167] The present application stores a program for determining the cable force of a transversely asymmetric double-cable-stayed bridge on a computer-readable storage medium. When the program is executed by a processor, it implements the steps of the method for determining the cable force of a transversely asymmetric double-cable-stayed bridge as described above.

[0168] The method implemented when the procedure for determining the cable force of a transversely asymmetric double-cable-stayed bridge is executed can be referred to in various embodiments of the method for determining the cable force of a transversely asymmetric double-cable-stayed bridge in this application, and will not be repeated here.

[0169] It should be noted that the sequence numbers of the embodiments in this application are for descriptive purposes only and do not represent the superiority or inferiority of the embodiments.

[0170] The terms "comprising" and "having," and any variations thereof, in the specification, claims, and accompanying drawings of this application are intended to cover non-exclusive inclusion. For example, a process, method, system, product, or apparatus that includes a series of steps or units is not limited to the listed steps or units, but may optionally include steps or units not listed, or may optionally include other steps or units inherent to such process, method, product, or apparatus. The terms "first," "second," and "third," etc., are used to distinguish different objects, etc., and do not indicate a sequence, nor do they limit "first," "second," and "third" to different types.

[0171] In the description of the embodiments of this application, terms such as "exemplary," "for example," or "for instance" are used to indicate examples, illustrations, or explanations. Any embodiment or design described as "exemplary," "for example," or "for instance" in the embodiments of this application should not be construed as being more preferred or advantageous than other embodiments or designs. Specifically, the use of terms such as "exemplary," "for example," or "for instance" is intended to present the relevant concepts in a concrete manner.

[0172] In the description of the embodiments of this application, unless otherwise stated, " / " means "or". For example, A / B can mean A or B. The "and / or" in the text is merely a description of the relationship between related objects, indicating that there can be three relationships. For example, A and / or B can mean: A exists alone, A and B exist simultaneously, and B exists alone. In addition, in the description of the embodiments of this application, "multiple" means two or more.

[0173] In some processes described in the embodiments of this application, multiple operations or steps are included in a specific order. However, it should be understood that these operations or steps may not be executed in the order they appear in the embodiments of this application, or they may be executed in parallel. The sequence number of the operation is only used to distinguish different operations, and the sequence number itself does not represent any execution order. In addition, these processes may include more or fewer operations, and these operations or steps may be executed sequentially or in parallel, and these operations or steps may be combined.

[0174] Through the above description of the embodiments, those skilled in the art can clearly understand that the methods of the above embodiments can be implemented by means of software plus necessary general-purpose hardware platforms. Of course, they can also be implemented by hardware, but in many cases the former is a better implementation method. Based on this understanding, the technical solution of this application, in essence, or the part that contributes to the prior art, can be embodied in the form of a software product. This computer software product is stored in a storage medium (such as ROM / RAM, magnetic disk, optical disk) as described above, and includes several instructions to cause a terminal device to execute the methods described in the various embodiments of this application.

[0175] The above are merely preferred embodiments of this application and do not limit the patent scope of this application. Any equivalent structural or procedural transformations made using the content of this application's specification and drawings, or direct or indirect applications in other related technical fields, are similarly included within the patent protection scope of this application.

Claims

1. A method for determining the cable forces of a transversely asymmetric double-cable-stayed bridge upon completion, characterized in that, The method for determining the cable force of a transversely asymmetric double-cable-stayed bridge includes: In the finite element model of a transversely asymmetric cable-stayed bridge, an initial influence matrix is ​​constructed; Based on the initial influence matrix, determine the influence matrix of the upstream and downstream transverse midpoints and the influence matrix of the deformation difference between the upstream and downstream anchor points; Obtain the first preset parameter, and construct the first optimization model based on the first preset parameter and the influence matrix of the upstream and downstream transverse midpoints to optimize and obtain the resultant force value of the upstream and downstream cable forces corresponding to each pair of transverse cable stays; The second optimization model is determined based on the influence matrix of the resultant force value of the upstream and downstream cable forces corresponding to each pair of transverse stay cables and the deformation difference of the upstream and downstream anchor points. Obtain the second preset parameter, optimize based on the second preset parameter and the second optimization model, and obtain the actual ratio of the upstream cable force to the resultant force of the upstream and downstream cables for each pair of transverse cables; The target cable force of each cable is determined based on the actual ratio and the resultant force value of the upstream and downstream cable forces corresponding to each pair of transverse cables; The steps for constructing the initial influence matrix in the finite element model of a transversely asymmetric cable-stayed bridge include: A finite element model of a transversely asymmetric cable-stayed bridge is established, and n pairs of transverse stay cables are set, where n is a positive integer; Each stay cable is tensioned with a unit cable force, and the deformation results of the upstream and downstream stay cable anchorage points are obtained, forming the initial influence matrix: in, This indicates the first deformation result, which is the deformation result of the anchorage points of the upstream and downstream stay cables when each upstream stay cable is tensioned with a unit cable force. This indicates the second deformation result, which is the deformation result of the anchorage points of the upstream and downstream stay cables when each downstream stay cable is tensioned with a unit cable force. This indicates the third deformation result, which is the deformation result of the anchorage point of the upstream cable when each upstream cable is tensioned with a unit cable force; This indicates the fourth deformation result, which is the deformation result of the anchorage point of the upstream cable when each downstream cable is tensioned with a unit cable force. This indicates the fifth deformation result, which is the deformation result of the anchorage point of the downstream cable when each upstream cable is tensioned with a unit cable force. This indicates the sixth deformation result, which is the deformation result of the anchorage point of the downstream cable when each downstream cable is tensioned with a unit cable force. The steps of determining the influence matrix of the upstream and downstream transverse midpoints and the influence matrix of the deformation difference between the upstream and downstream anchor points based on the initial influence matrix include: Based on the first deformation result and the second deformation result, determine the deformation result of the upstream and downstream anchorage points of each pair of transverse stay cables when each stay cable is tensioned with a unit cable force; The average value of the deformation results of the upstream and downstream anchor points of each pair of transverse stay cables is calculated to obtain the deformation results of the upstream and downstream transverse midpoints of each pair of transverse stay cables. Determine the influence matrix of the upstream and downstream horizontal midpoints based on the deformation results of all upstream and downstream horizontal midpoints; The difference between the deformation results of the upstream and downstream anchor points of each pair of transverse stay cables is obtained by calculating the deformation difference between the upstream and downstream anchor points of each pair of transverse stay cables. Determine the influence matrix of the deformation difference between upstream and downstream anchor points based on the deformation difference of all upstream and downstream anchor points; The step of determining the second optimization model based on the influence matrix of the resultant force value of the upstream and downstream cable forces corresponding to each pair of transverse stay cables and the deformation difference of the upstream and downstream anchor points includes: A first unknown function is selected to determine the initial ratio of the upstream cable force to the resultant force of the corresponding upstream and downstream cables for each pair of transverse stay cables. This first unknown function is: in, Indicates the first The initial ratio of the upstream cable force corresponding to the transverse stay cable to the resultant force of the corresponding upstream and downstream stay cables. This indicates transpose, converting a row vector into a column vector; Based on the first unknown function and the resultant force values ​​of the upstream and downstream stay cables corresponding to each pair of transverse stay cables, the second unknown function of the upstream stay cable force corresponding to each pair of transverse stay cables and the third unknown function of the downstream stay cable force corresponding to each pair of transverse stay cables are calculated. The second unknown function is: in, This represents a column vector containing the resultant force values ​​of the upstream and downstream stay cables corresponding to each pair of transverse stay cables. This means converting the column vector of the resultant force values ​​of the upstream and downstream stay cables corresponding to each pair of transverse stay cables into a diagonal matrix; The third unknown function is: in, This represents a column vector where every element is 1. ; Based on the second unknown function, the third unknown function, the first deformation result, and the second deformation result, a fourth unknown function is calculated to obtain the deformation result of the upstream and downstream cable anchorage points of each pair of transverse stay cables. The fourth unknown function is: Simplifying the fourth unknown function, we obtain the fifth unknown function, which is: Based on the fifth unknown function and the influence matrix of the deformation difference between the upstream and downstream anchor points, the sixth unknown function of the deformation difference between the upstream and downstream anchor points of each pair of transverse stay cables is calculated. The sixth unknown function is: The second optimization model is determined based on the sixth unknown function. The second optimization model is as follows: in, and All are constants.

2. The method for determining the cable force of a transversely asymmetric double-cable-stayed bridge as described in claim 1, characterized in that, The step of obtaining the first preset parameter, constructing a first optimization model based on the first preset parameter and the influence matrix of the upstream and downstream transverse midpoints, and optimizing it to obtain the resultant force value of the upstream and downstream cable forces for each pair of transverse stay cables includes: Obtain the first preset parameters, wherein the first preset parameters include the initial cable force of each cable, the target deformation result of the upstream and downstream transverse midpoints, the allowable deviation of the target deformation result, and the allowable deviation value of the cable force of the cable. Based on the initial cable force of each cable, the target deformation results of the upstream and downstream lateral midpoints, the allowable deviation of the target deformation results and the allowable deviation of the cable force, and the influence matrix of the upstream and downstream lateral midpoints, the least squares method is used for optimization to obtain the cable force of each cable. The resultant force value of the upstream and downstream cable forces corresponding to each pair of transverse cable stays is determined based on the cable force of each cable stay.

3. The method for determining the cable force of a transversely asymmetric double-cable-stayed bridge as described in claim 1, characterized in that, The step of obtaining the second preset parameter, optimizing based on the second preset parameter and the second optimization model, and obtaining the actual ratio of the upstream cable force to the resultant force of the corresponding upstream and downstream cables for each pair of transverse stay cables includes: Obtain a second preset parameter, wherein the second preset parameter includes the target deformation difference between the upstream and downstream anchor points of the transverse cable, the allowable deviation of the target deformation difference, the initial ratio of the upstream cable force to the resultant force of the corresponding upstream and downstream cables for each pair of transverse cables, and the allowable deviation of the initial ratio. Based on the target deformation difference between the upstream and downstream anchor points of the transverse stay cables, the allowable deviation of the target deformation difference, the initial ratio of the upstream stay cable force to the resultant force of the corresponding upstream and downstream stay cables for each pair of transverse stay cables, and the allowable deviation of the initial ratio, the target optimization model is optimized using the least squares method to obtain the actual ratio of the upstream stay cable force to the resultant force of the corresponding upstream and downstream stay cables for each pair of transverse stay cables.

4. The method for determining the cable force of a transversely asymmetric double-cable-stayed bridge as described in claim 1, characterized in that, The step of determining the target cable force for each cable based on the actual ratio and the resultant force value of the upstream and downstream cable forces corresponding to each pair of transverse cables includes: Multiply the resultant force of the upstream and downstream cables corresponding to each pair of transverse cables by the corresponding actual ratio to obtain the upstream cable force corresponding to each pair of transverse cables. Subtract the corresponding upstream cable force from the resultant force of the upstream and downstream cables corresponding to each pair of transverse cables to obtain the downstream cable force corresponding to each pair of transverse cables; The target cable force for each cable is determined based on the upstream cable force and the corresponding downstream cable force for each pair of transverse cables.

5. A device for determining the cable force of a transversely asymmetric double-cable-stayed bridge, characterized in that, The device for determining the cable force of a transversely asymmetric double-cable-stayed bridge includes: A building block is used to construct the initial influence matrix in a finite element model of a transversely asymmetric cable-stayed bridge. The first determining module is used to determine the influence matrix of the upstream and downstream transverse midpoints and the influence matrix of the deformation difference between the upstream and downstream anchor points based on the initial influence matrix. The first calculation module is used to obtain the first preset parameters, construct a first optimization model based on the first preset parameters and the influence matrix of the upstream and downstream transverse midpoints, and optimize it to obtain the resultant force value of the upstream and downstream cable forces corresponding to each pair of transverse cable stays. The second determining module is used to determine the second optimization model based on the resultant force value of the upstream and downstream cable forces corresponding to each pair of transverse stay cables and the influence matrix of the deformation difference between the upstream and downstream anchor points. The second calculation module is used to obtain the second preset parameters, optimize based on the second preset parameters and the second optimization model, and obtain the actual ratio of the upstream cable force to the resultant force of the upstream and downstream cables for each pair of transverse cables. The third determining module is used to determine the target cable force of each cable based on the actual ratio and the resultant force value of the upstream and downstream cable forces corresponding to each pair of transverse cables; The building module is specifically used for: A finite element model of a transversely asymmetric cable-stayed bridge is established, and n pairs of transverse stay cables are set, where n is a positive integer; Each stay cable is tensioned with a unit cable force, and the deformation results of the upstream and downstream stay cable anchorage points are obtained, forming the initial influence matrix: in, This indicates the first deformation result, which is the deformation result of the anchorage points of the upstream and downstream stay cables when each upstream stay cable is tensioned with a unit cable force. This indicates the second deformation result, which is the deformation result of the anchorage points of the upstream and downstream stay cables when each downstream stay cable is tensioned with a unit cable force. This indicates the third deformation result, which is the deformation result of the anchorage point of the upstream cable when each upstream cable is tensioned with a unit cable force; This indicates the fourth deformation result, which is the deformation result of the anchorage point of the upstream cable when each downstream cable is tensioned with a unit cable force. This indicates the fifth deformation result, which is the deformation result of the anchorage point of the downstream cable when each upstream cable is tensioned with a unit cable force. This indicates the sixth deformation result, which is the deformation result of the anchorage point of the downstream cable when each downstream cable is tensioned with a unit cable force. The first determining module (20) is specifically used for: Based on the first deformation result and the second deformation result, determine the deformation result of the upstream and downstream anchorage points of each pair of transverse stay cables when each stay cable is tensioned with a unit cable force; The average value of the deformation results of the upstream and downstream anchor points of each pair of transverse stay cables is calculated to obtain the deformation results of the upstream and downstream transverse midpoints of each pair of transverse stay cables. Determine the influence matrix of the upstream and downstream horizontal midpoints based on the deformation results of all upstream and downstream horizontal midpoints; The difference between the deformation results of the upstream and downstream anchor points of each pair of transverse stay cables is obtained by calculating the deformation difference between the upstream and downstream anchor points of each pair of transverse stay cables. Determine the influence matrix of the deformation difference between upstream and downstream anchor points based on the deformation difference of all upstream and downstream anchor points; The second determining module (40) is specifically used for: A first unknown function is selected to determine the initial ratio of the upstream cable force to the resultant force of the corresponding upstream and downstream cables for each pair of transverse stay cables. This first unknown function is: in, Indicates the first The initial ratio of the upstream cable force corresponding to the transverse stay cable to the resultant force of the corresponding upstream and downstream stay cables. This indicates transpose, converting a row vector into a column vector; Based on the first unknown function and the resultant force values ​​of the upstream and downstream stay cables corresponding to each pair of transverse stay cables, the second unknown function of the upstream stay cable force corresponding to each pair of transverse stay cables and the third unknown function of the downstream stay cable force corresponding to each pair of transverse stay cables are calculated. The second unknown function is: in, This represents a column vector containing the resultant force values ​​of the upstream and downstream stay cables corresponding to each pair of transverse stay cables. This means converting the column vector of the resultant force values ​​of the upstream and downstream stay cables corresponding to each pair of transverse stay cables into a diagonal matrix; The third unknown function is: in, This represents a column vector where every element is 1. ; Based on the second unknown function, the third unknown function, the first deformation result, and the second deformation result, a fourth unknown function is calculated to obtain the deformation result of the upstream and downstream cable anchorage points of each pair of transverse stay cables. The fourth unknown function is: Simplifying the fourth unknown function, we obtain the fifth unknown function, which is: Based on the fifth unknown function and the influence matrix of the deformation difference between the upstream and downstream anchor points, the sixth unknown function of the deformation difference between the upstream and downstream anchor points of each pair of transverse stay cables is calculated. The sixth unknown function is: The second optimization model is determined based on the sixth unknown function. The second optimization model is as follows: in, and All are constants.

6. A device for determining the cable force of a transversely asymmetric double-cable-stayed bridge, characterized in that, The device for determining the cable force of a transversely asymmetric double-cable-stayed bridge includes a processor, a memory, and a program for determining the cable force of a transversely asymmetric double-cable-stayed bridge stored in the memory and executable by the processor. When the program for determining the cable force of a transversely asymmetric double-cable-stayed bridge is executed by the processor, it implements the steps of the method for determining the cable force of a transversely asymmetric double-cable-stayed bridge as described in any one of claims 1 to 4.

7. A computer-readable storage medium, characterized in that, The computer-readable storage medium stores a program for determining the cable forces of a transversely asymmetric double-cable-stayed bridge upon completion, wherein when the program is executed by a processor, it implements the steps of the method for determining the cable forces of a transversely asymmetric double-cable-stayed bridge as described in any one of claims 1 to 4.

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