Method and apparatus for simultaneously optimizing bridge internal forces and geometry using unit manufacturing configurations
By determining the target force increment matrix and the unit manufacturing configuration method, the internal forces and alignment of the bridge are optimized, solving the problem that it is difficult to simultaneously optimize the internal forces and alignment of long-span bridges. This achieves the optimal state of the bridge structure and uniform internal force distribution, improving construction quality and safety.
Patent Information
- Application Number
- CN202511377635.8
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2025-09-25
- Publication Date
- 2026-01-13
- Estimated Expiration
- 2045-09-25
AI Technical Summary
It is difficult for the internal forces and the structural alignment of long-span bridges to reach the optimal state simultaneously. Usually, it is necessary to sacrifice the optimality of the internal forces to seek the relatively optimal structural alignment.
By determining the target force increment matrix, including the second tension increment and the second reaction force increment, the internal forces and alignment of the bridge are optimized. Using the unit manufacturing configuration method, the manufacturing alignment and stress-free length are calculated to achieve consistency between the bridge structural alignment and the design alignment.
This achieved the optimal state of both internal forces and alignment of the bridge structure, ensuring the accuracy of the bridge alignment and the uniform distribution of internal forces, thus improving construction quality and structural safety.
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Figure CN120874476B_ABST
Abstract
Description
Technical Field
[0001] This application relates to the field of long-span cable-stayed bridge construction, and specifically to a method, apparatus, equipment, and computer-readable storage medium for optimizing bridge internal forces and alignment by utilizing unit-based manufacturing configurations. Background Technology
[0002] With the increasing demand for transportation and the urgent need to cross complex terrain and waterways, the number of long-span bridges being built is constantly rising. The precise control of the structural internal forces and structural alignment of long-span bridges has always been the core and key challenge in engineering construction.
[0003] In related technologies, when a bridge structure is subjected to load, it will deform, resulting in changes in the internal forces of the structure. The structural alignment and the internal forces of the structure are in a coupled state. In actual engineering, the internal force condition of the bridge directly determines the overall safety of the structure, and the rationality of the bridge alignment plays a key role in traffic safety. Ideally, both should reach the optimal state at the same time.
[0004] However, the internal forces and structural alignment of a bridge are interconnected and influence each other. It is difficult to achieve the optimal balance of both simultaneously. In most cases, the only option is to explore the relatively optimal structural alignment at the expense of the optimality of the internal forces. Summary of the Invention
[0005] This application provides a method, apparatus, device, and computer-readable storage medium for simultaneously optimizing the internal forces and alignment of a bridge using unit manufacturing configurations, which can solve the technical problem in the prior art that it is difficult to simultaneously achieve the optimal state of bridge structural alignment and internal forces.
[0006] In a first aspect, embodiments of this application provide a method for simultaneously optimizing the internal forces and alignment of a bridge using unit-based manufacturing configurations. The method includes:
[0007] Determine the target force increment matrix that optimizes the internal forces of the bridge structure. The target force increment matrix includes the second tension increment and the second reaction force increment. Based on the preset force applied to the bridge, determine the deformation of each node on the main beam caused by the second tension increment applied to the cable members and the second reaction force increment applied to the supports, and obtain the target elastic deformation matrix. The preset force applied to the bridge includes the initial tension applied to the cable members and the initial reaction force applied to the supports.
[0008] Substitute the design line and the target elastic deformation matrix into the second calculation formula to obtain the manufacturing line; determine the coordinates and rotation angles of all endpoints on the main beam manufacturing line. All endpoints include the main beam section, the contact point between the support and the main beam, and the contact point between the cable member and the main beam. All endpoints divide the main beam into multiple segments.
[0009] The stress-free length of each segment of the main beam is obtained from the coordinates of all endpoints.
[0010] Substitute the rotation angles of the two endpoints of each segment into the third calculation formula to obtain the stress-free rotation angles of the endpoints of each segment of the main beam;
[0011] Obtain the coordinates of the two ends of each cable member in the design line to obtain the stress-free length of the manufacturing configuration of each cable member;
[0012] Based on the stress-free lengths of all cable components, the stress-free lengths of each segment of the main beam, and the stress-free rotation angles at the endpoints of each segment of the main beam, the bridge structural alignment consistent with the bridge design alignment is obtained.
[0013] In conjunction with the first aspect, in one implementation, determining the target force increment matrix that optimizes the internal forces of the bridge structure includes:
[0014] In the finite element model, a preset force is applied to the bridge, and the first structural internal force bending moment of each node on the main beam is obtained, thus obtaining the first structural internal force bending moment matrix.
[0015] Based on the pre-set force applied to the bridge, the change value of the structural internal force bending moment at each node on the main beam caused by the first tension increment applied to the cable members is determined, and the first change matrix is obtained;
[0016] Based on the pre-set force applied to the bridge, the change value of the structural internal force bending moment at each node on the main beam caused by the first reaction force increment applied to the support is determined, and the second change matrix is obtained;
[0017] Based on the first tension increment and the first reaction force increment, the first force increment matrix is obtained;
[0018] Based on the first and second transformation matrices, the third transformation matrix is obtained;
[0019] Substituting the first structural internal force bending moment matrix, the first force increment matrix, and the third change matrix into the first calculation formula, we obtain the second tension increment and the second reaction force increment.
[0020] Based on the pre-set force applied to the bridge, a second tension increment is applied to the cable members and a second reaction force increment is applied to the supports, and the second structural internal force bending moment of each node on the main beam is obtained.
[0021] Determine whether the bending moments of the secondary structure at all nodes are within the preset range;
[0022] If so, the target force increment matrix is obtained using the second tension increment and the second reaction force increment;
[0023] If not, then update the first tension increment and the first reaction force increment, and return to the first change matrix obtained by determining the change value of the structural internal force bending moment of each node on the main beam caused by applying the first tension increment to the cable members based on the preset force applied to the bridge.
[0024] In conjunction with the first aspect, in one implementation, the first structural internal force bending moment matrix, the first force increment matrix, and the third change matrix are substituted into the first calculation formula to obtain the second tension increment and the second reaction force increment. The first calculation formula is as follows:
[0025]
[0026] in, Here is the bending moment matrix of the internal forces of the first structure. A This is the third transformation matrix. This is the first force increment matrix. This represents the second tension increment and the second reaction force increment.
[0027] In conjunction with the first aspect, in one implementation, the design profile and the target elastic deformation matrix are substituted into the second calculation formula to obtain the manufacturing profile. The second calculation formula is as follows:
[0028]
[0029] in, C To manufacture linear shapes, To design the linear shape, Let be the target elastic deformation matrix.
[0030] In conjunction with the first aspect, in one embodiment, the vertical coordinates of the second endpoint of the first segment of the main beam manufacturing profile, the vertical coordinates of the first endpoint of the first segment of the main beam manufacturing profile, the horizontal coordinates of the second endpoint of the first segment of the main beam manufacturing profile, the horizontal coordinates of the first endpoint of the first segment of the main beam manufacturing profile, and the rotation angle of the first endpoint of the first segment on the main beam manufacturing profile are substituted into the third calculation formula to obtain the stress-free rotation angle of the first endpoint of the manufacturing configuration of the first segment of the main beam. The third calculation formula is as follows:
[0031]
[0032] in, The first end point of the main beam segment forming the configuration is a stress-free corner. The vertical coordinates of the second endpoint of the first segment of the main beam manufacturing line. The vertical coordinate of the first endpoint of the first segment of the main beam manufacturing line. The horizontal coordinate of the second endpoint of the first segment of the main beam manufacturing line. The horizontal coordinate of the first endpoint of the first segment of the main beam manufacturing line. The first end point of the first segment on the main beam manufacturing line is the rotation angle.
[0033] Secondly, embodiments of this application provide an apparatus for simultaneously optimizing the internal forces and alignment of a bridge using unit-based manufacturing configurations. The apparatus for simultaneously optimizing the internal forces and alignment of a bridge using unit-based manufacturing configurations includes:
[0034] Determining Module: This module is used to determine the target force increment matrix that optimizes the internal forces of the bridge structure. The target force increment matrix includes the second tension increment and the second reaction force increment. Based on the preset force applied to the bridge, the module determines the deformation of each node on the main beam caused by the second tension increment applied to the cable members and the second reaction force increment applied to the supports, thus obtaining the target elastic deformation matrix. The preset force applied to the bridge includes the initial tension applied to the cable members and the initial reaction force applied to the supports.
[0035] Calculation module: Used to substitute the design alignment and target elastic deformation matrix into the second calculation formula to obtain the manufacturing alignment; determine the coordinates and rotation angles of all endpoints on the main beam manufacturing alignment, including the main beam section, the contact points between the support and the main beam, and the contact points between the cable members and the main beam, and all endpoints divide the main beam into multiple segments; obtain the stress-free length of the manufacturing configuration of each segment of the main beam based on the coordinates of all endpoints; substitute the rotation angles of the two endpoints of each segment into the third calculation formula to obtain the stress-free rotation angles of the endpoints of each segment of the main beam;
[0036] Acquisition Module: Used to acquire the coordinates of the two ends of each cable member in the design alignment, obtain the stress-free length of the manufacturing configuration of each cable member, and obtain the bridge structure alignment consistent with the bridge design alignment based on the stress-free length of the manufacturing configuration of all cable members, the stress-free length of the manufacturing configuration of each segment of the main beam, and the stress-free rotation angle of the endpoints of each segment of the main beam.
[0037] In conjunction with the second aspect, in one implementation, the determining module is specifically used for:
[0038] In the finite element model, a preset force is applied to the bridge, and the first structural internal force bending moment of each node on the main beam is obtained, thus obtaining the first structural internal force bending moment matrix.
[0039] Based on the application of a preset force to the bridge, the changes in the structural internal force bending moment of each node on the main beam caused by the application of the first tension increment to each group of cable members are determined and combined to obtain the first change matrix;
[0040] Based on the pre-set force applied to the bridge, the change value of the structural internal force bending moment at each node on the main beam caused by the first reaction force increment applied to the support is determined, and the second change matrix is obtained;
[0041] Based on the first tension increment and the first reaction force increment, the first force increment matrix is obtained;
[0042] Based on the first and second transformation matrices, the third transformation matrix is obtained;
[0043] Substituting the first structural internal force bending moment matrix, the first force increment matrix, and the third change matrix into the first calculation formula, we obtain the second tension increment and the second reaction force increment.
[0044] Based on the pre-set force applied to the bridge, a second tension increment is applied to the cable members and a second reaction force increment is applied to the supports, and the second structural internal force bending moment of each node on the main beam is obtained.
[0045] Determine whether the bending moments of the secondary structure at all nodes are within the preset range;
[0046] If so, the target force increment matrix is obtained using the second tension increment and the second reaction force increment;
[0047] If not, then update the first tension increment and the first reaction force increment, and return to the first change matrix obtained by determining the change value of the structural internal force bending moment of each node on the main beam caused by applying the first tension increment to the cable members based on the preset force applied to the bridge.
[0048] In conjunction with the second aspect, in one embodiment, the computing module includes:
[0049] Substituting the first structural internal force bending moment matrix, the first force increment matrix, and the third change matrix into the first calculation formula, we obtain the second tension increment and the second reaction force increment. The first calculation formula is as follows:
[0050]
[0051] in, Here is the bending moment matrix of the internal forces of the first structure. A This is the third transformation matrix. This is the first force increment matrix. This represents the second tension increment and the second reaction force increment.
[0052] Thirdly, embodiments of this application provide a device for simultaneously optimizing bridge internal forces and alignment using unit-manufactured configurations. The device includes a processor, a memory, and a program for simultaneously optimizing bridge internal forces and alignment using unit-manufactured configurations stored in the memory and executable by the processor. When the program for simultaneously optimizing bridge internal forces and alignment using unit-manufactured configurations is executed by the processor, it implements the steps of the method for simultaneously optimizing bridge internal forces and alignment using unit-manufactured configurations as described in the first aspect.
[0053] Fourthly, embodiments of this application provide a computer-readable storage medium storing a program for simultaneously optimizing bridge internal forces and alignment by using a unit to manufacture a configuration, wherein when the program for simultaneously optimizing bridge internal forces and alignment by using a unit is executed by a processor, it implements the steps of the method for simultaneously optimizing bridge internal forces and alignment by using a unit to manufacture a configuration as described in the first aspect.
[0054] The beneficial effects of the technical solutions provided in this application include:
[0055] By determining the target force increment matrix that optimizes the internal forces of the bridge structure, calculating the resulting target elastic deformation matrix, and combining it with the design alignment to obtain the manufacturing alignment, the manufacturing configuration parameters such as the stress-free length of each segment of the main beam and cable members, and the stress-free rotation angle at the endpoints of the main beam are derived from the manufacturing alignment. Ultimately, the bridge structure alignment is made consistent with the design alignment, and the internal forces of the structure reach the optimal state. This solves the technical problem in traditional technology that it is difficult for the internal forces and structural alignment of bridge structures to reach the optimal state simultaneously, ensuring the accuracy of the bridge alignment and the uniform distribution of internal forces, and improving construction quality and structural safety. Attached Figure Description
[0056] Figure 1 This is a schematic flowchart of an embodiment of the method for simultaneously optimizing bridge internal forces and alignment using unit fabrication configurations, as described in this application.
[0057] Figure 2 A schematic diagram of the finite element model of the bridge;
[0058] Figure 3 This is a schematic diagram of the bending moment of the internal forces in the first structure;
[0059] Figure 4 This is a schematic diagram of the bending moment of the internal forces in the second structure;
[0060] Figure 5 This is a schematic diagram of a functional module for optimizing bridge internal forces and alignment using unit manufacturing configuration, according to an embodiment of the device of this application.
[0061] Figure 6 This is a schematic diagram of the hardware structure of the device used in the embodiments of this application to manufacture the configuration of a bridge while optimizing the internal forces and alignment. Detailed Implementation
[0062] 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.
[0063] First, some of the technical terms used in this application will be explained to help those skilled in the art understand this application.
[0064] Manufacturing line: The pre-adjusted geometry of the bridge structure during the prefabrication stage.
[0065] Manufacturing configuration: The set of geometric parameters of a component unit in a stress-free state, which is the specific realization of the manufacturing line at the component level.
[0066] Design alignment: The target geometric shape of a bridge under design load during the design phase, which is the ideal alignment (such as a straight line, parabola, catenary, etc.) clearly marked on the drawings.
[0067] Structural alignment: The actual geometric shape of the bridge after construction is completed and design loads are applied (including the coordinates of each node, rotation angles, and curve profiles).
[0068] Stress-free length: The natural length of a component when it is not subjected to any external force, and it is one of the core parameters for manufacturing configuration.
[0069] Stress-free rotation angle: The initial rotation angle of the end point of a component in a stress-free state, used to describe the geometric direction of the component during manufacturing.
[0070] 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.
[0071] In a first aspect, embodiments of this application provide a method for simultaneously optimizing the internal forces and alignment of a bridge by utilizing unit manufacturing configurations.
[0072] In one embodiment, reference is made to Figure 1 , Figure 1 This is a schematic flowchart illustrating an embodiment of the method for simultaneously optimizing bridge internal forces and alignment using unit-based manufacturing configurations, as described in this application. Figure 1 As shown, methods for simultaneously optimizing bridge internal forces and alignment using element-based fabrication configurations include:
[0073] Step S10: Determine the target force increment matrix that puts the internal forces of the bridge structure in the optimal state. The target force increment matrix includes the second tension increment and the second reaction force increment.
[0074] Further, in one embodiment, step S10 includes:
[0075] Step S101: In the finite element model, a preset force is applied to the bridge, and the first structural internal force bending moment of each node on the main beam is obtained to obtain the first structural internal force bending moment matrix.
[0076] In this embodiment, refer to Figure 2 , Figure 2 This is a schematic diagram of a finite element model of a bridge. Figure 2 As shown, firstly, based on known design parameters such as the design alignment and structural parameters, a finite element model of the bridge is established. Two cable members 2.1 form one group, two cable members 2.2 form another group, and support 4 forms a third group. In practice, several groups of cable members may exist. Then, initial forces are applied to the bridge supports and each group of cable members. The tension of cable member 2.1 is 4000 kN, the tension of cable member 2.2 is 4000 kN, and the reaction force of support 4 is 3255 kN. Several nodes are selected from each segment of the main beam, and the first structural internal force bending moment of each node is calculated using the finite element model. Data such as Figure 3 As shown, Figure 3 This is a schematic diagram of the internal force and bending moment of the first structure. For example, the internal force and bending moment of the first structure at point K is 23920 KN.m. The internal force and bending moment of the first structure at each node forms the internal force and bending moment matrix of the first structure.
[0077] Step S102: Based on the preset force applied to the bridge, determine and combine the changes in structural internal force bending moments at each node of the main beam caused by the first tension increment applied to each group of cable members to obtain a first change matrix; based on the preset force applied to the bridge, determine the changes in structural internal force bending moments at each node of the main beam caused by the first reaction force increment applied to the supports to obtain a second change matrix; based on the first tension increment and the first reaction force increment, obtain a first force increment matrix; based on the first change matrix and the second change matrix, obtain a third change matrix.
[0078] In this embodiment, as Figure 2As shown, based on the application of a preset force to the bridge, a first force increment is applied to each group of components step by step. For example, based on the tension of cable member 2.1 being 4000 kN, the tension of cable member 2.2 being 4000 kN, and the reaction force of support 4 being 3255 kN, a first tension increment of 1000 kN is added to cable member 2.1, and the resulting change in the structural internal force bending moment at each node of the main beam is measured. Then, based on the tension of cable member 2.1 being 4000 kN, the tension of cable member 2.2 being 4000 kN, and the reaction force of support 4 being 3255 kN, a first tension increment of 1000 kN is added to cable member 2.2, and the resulting change in the structural internal force bending moment at each node of the main beam is measured. This process is repeated to obtain the change in the structural internal force bending moment at each node of the main beam caused by applying the first tension increment to each group of cable members, and the first change matrix is obtained based on its set.
[0079] Then, based on the initial tension of 4000 kN for cable members 2.1 and 2.2 and the initial reaction force of 3255 kN for support 4, the first reaction force increment of 1000 kN is added to support 4. The resulting change in the structural internal force bending moment at each node on the main beam is measured. The second change matrix is obtained based on the set of the change values of the structural internal force bending moment at each node.
[0080] The third change matrix is obtained by combining the first and second change matrices. The third change matrix consists of the bending moment change values generated by each measurement node under each force. Taking node N2 in the third change matrix as an example, the bending moment change generated by the tension of cable member 2.1 is -734.5, the bending moment change generated by the tension of cable member 2.2 is -206.7, and the bending moment change generated by the reaction force of support 4 is 303.3. Therefore, the bending moment change matrix of the main beam at node N2 is (-734.5, -206.7, 303.3) kN.m.
[0081] Step S103: Substitute the first structural internal force bending moment matrix, the first force increment matrix, and the third change matrix into the first calculation formula to obtain the second tension increment and the second reaction force increment. The first calculation formula is:
[0082]
[0083] in, Here is the bending moment matrix of the internal forces of the first structure. A This is the third transformation matrix. This is the first force increment matrix. This represents the second tension increment and the second reaction force increment.
[0084] In this embodiment, the second tension increment applied to the cable member 2.1 in stages is determined according to the first calculation formula. =3025.5kN, cable member 2.2 second tension increment =2698.5kN, increment of reaction force at support 4 =480.5kN;
[0085] Step S104: Based on the preset force applied to the bridge, apply a second tension increment to the cable members and a second reaction force increment to the supports, and obtain the second structural internal force bending moment of each node on the main beam.
[0086] Determine whether the bending moments of the secondary structure at all nodes are within the preset range;
[0087] If so, the target force increment matrix is obtained using the second tension increment and the second reaction force increment;
[0088] If not, then update the first tension increment and the first reaction force increment, and return to the first change matrix obtained by determining the change value of the structural internal force bending moment of each node on the main beam caused by applying the first tension increment to the cable members based on the preset force applied to the bridge;
[0089] In this embodiment, initial forces are applied to each group of cable members and supports of the bridge. Cable member 2.1 has a tension of 4000 kN, cable member 2.2 has a tension of 4000 kN, and support 4 has a reaction force of 3255 kN. Based on this, the second tension increment and the second reaction force increment obtained in step S103 are simultaneously applied to the bridge. The finite element model calculates the second structural internal force bending moment at each node on the main beam. It is preset that the structural internal force bending moment at each node is within the range of [-10000, 10000]. If the second structural internal force bending moment is within the preset range, the target force increment matrix is obtained using the second tension increment and the second reaction force increment. If the second structural internal force bending moment is not entirely within the preset range, the first tension increment and the first reaction force increment are updated, and the process returns to step S102 to finally obtain the target force increment matrix. The results of this embodiment are as follows: Figure 4 As shown, Figure 4 The diagram shows the bending moment of the internal forces in the second structure. The bending moment at point K is 5096 kN.m. The positive and negative bending moments at each node are basically equal and within the preset range. Therefore, it is determined that the internal forces of the bridge structure are in the optimal state at this time.
[0090] Step S20: Based on the preset force applied to the bridge, determine the deformation of each node on the main beam caused by the second tension increment applied to the cable members and the second reaction force increment applied to the supports, and obtain the target elastic deformation matrix. The preset force applied to the bridge includes the initial tension applied to the cable members and the initial reaction force applied to the supports.
[0091] In this embodiment, initial forces are applied to each group of cable members and supports of the bridge. The tension of cable member 2.1 is 4000 kN, the tension of cable member 2.2 is 4000 kN, and the reaction force of support 4 is 3255 kN. Based on this, the target force increment matrix obtained in step S10 is simultaneously applied to the cable members and supports of the bridge. The deformation of each node on the main beam caused by the finite element model is calculated to obtain the target elastic deformation matrix. For example, the deformation of node N1 is (horizontal deformation 4 mm, vertical deformation 66 mm, rotation angle -0.003 rad), and the deformation of node N2 is (horizontal deformation 4 mm, vertical deformation 36 mm, rotation angle -0.001 rad). The target elastic deformation matrix is obtained from the deformation of all nodes.
[0092] Step S30: Substitute the design profile and target elastic deformation matrix into the second calculation formula to obtain the manufacturing profile;
[0093] Furthermore, the second calculation formula is:
[0094]
[0095] in, C To manufacture linear shapes, To design the linear shape, Let be the target elastic deformation matrix.
[0096] Step S40: Determine the coordinates and rotation angles of all endpoints on the main beam manufacturing line. All endpoints include the contact points between each component and the main beam, as well as the cut-off points of the main beam. All endpoints divide the main beam into multiple segments, where each component includes cable members, supports, and towers. Based on the coordinates of all endpoints, obtain the stress-free length of the manufacturing configuration of each segment of the main beam.
[0097] In this embodiment, as Figure 2 As shown, for example, the contact points between the support and the main beam are N1 and N7, the endpoints of segment 1.1 are N1 and N2, and point K is one of the nodes of segment N5-N6;
[0098] Assuming in the manufacturing of linear C In the diagram, the coordinates of endpoint N1 of segment 1.1 are (horizontal coordinate -55m, vertical coordinate 19m), with a rotation angle of -0.003rad, and the coordinates of N2 are (horizontal coordinate -35m, vertical coordinate 19m), with a rotation angle of -0.002rad. According to the difference of squares formula, the stress-free length of segment 1.1 of the main beam is 20m. Similarly, by using the coordinates of the two endpoints of each segment, the stress-free length of each segment of the main beam can be obtained.
[0099] Step S50: Substitute the rotation angles of the two endpoints of each segment into the third calculation formula to obtain the stress-free rotation angles of the endpoints of each segment of the main beam.
[0100] In this embodiment, the coordinates and rotation angles of the two endpoints N1 and N2 are substituted into the third calculation formula.
[0101]
[0102] In this embodiment, To create a stress-free corner at endpoint N1 of linear segment 1.1, To generate the vertical coordinate of N2 on the linear axis, To generate the vertical coordinate of N1 on the linear axis, To create the horizontal coordinate of N2 on the linear axis, To generate the horizontal coordinate of N1 on the linear axis, To create the corner of N1 on the linear shape;
[0103] After obtaining the stress-free rotation angle of the manufacturing configuration at endpoint N1, the stress-free rotation angles of the endpoints of the manufacturing configurations of other segments on the main beam are calculated in the same manner.
[0104] Step S60: Obtain the coordinates of the two ends of each cable member in the design line to obtain the stress-free length of the manufacturing configuration of each cable member;
[0105] In this embodiment, taking the left cable member 2.1 as an example, the coordinates of the upper node N10 in the design alignment are (horizontal coordinate 0m, vertical coordinate 60m), and the coordinates of the lower node N2 are (horizontal coordinate -40m, vertical coordinate 20m). The tension of the cable member 2.1 is 6907kN. According to the catenary calculation, the stressed length is 56.568m, and the elastic elongation is 0.671m. Therefore, the stress-free length of the cable member 2.1 is 55.897m.
[0106] Step S70: Based on the stress-free length of the manufacturing configuration of all cable members, the stress-free length of the manufacturing configuration of each segment of the main beam, and the stress-free rotation angle of the endpoints of each segment of the main beam, the bridge structure alignment that is consistent with the bridge design alignment is obtained.
[0107] In this embodiment, the stress-free lengths of all cable member manufacturing configurations obtained in the above steps, the stress-free lengths of each segment of the main beam manufacturing configuration, and the stress-free corners at the endpoints of each segment of the main beam are assembled. The assembled bridge structure conforms to the required alignment. Figure 2 The design alignment shown indicates that the internal forces of the bridge structure are... Figure 4 The internal force state of the structure is shown.
[0108] In this embodiment, by first determining that the internal forces of the bridge structure are in the optimal state, and then controlling the manufacturing configuration of each segment, the bridge manufacturing alignment is used only as a geometric positioning reference and does not participate in the mechanical balance adjustment. This decouples the internal force state from the alignment state and solves the technical problem that the internal forces and structural alignment of the bridge structure are difficult to achieve the optimal state at the same time.
[0109] Secondly, embodiments of this application also provide a device for simultaneously optimizing the internal forces and alignment of a bridge by utilizing unit manufacturing configurations.
[0110] In one embodiment, reference is made to Figure 5 , Figure 5 This is a functional module diagram of an embodiment of the device for simultaneously optimizing bridge internal forces and alignment using unit-based manufacturing configurations, as described in this application. Figure 5 As shown, the device for simultaneously optimizing bridge internal forces and alignment by utilizing unit-based fabrication configurations includes:
[0111] Determining Module: This module is used to determine the target force increment matrix that optimizes the internal forces of the bridge structure. The target force increment matrix includes the second tension increment and the second reaction force increment. Based on the preset force applied to the bridge, the module determines the deformation of each node on the main beam caused by the second tension increment applied to the cable members and the second reaction force increment applied to the supports, thus obtaining the target elastic deformation matrix. The preset force applied to the bridge includes the initial tension applied to the cable members and the initial reaction force applied to the supports.
[0112] Calculation module: Used to substitute the design alignment and target elastic deformation matrix into the second calculation formula to obtain the manufacturing alignment; determine the coordinates and rotation angles of all endpoints on the main beam manufacturing alignment, including the contact points between each component and the main beam, as well as the main beam's cut-off points. All endpoints divide the main beam into multiple segments, where each component includes cable members, supports, and towers; obtain the stress-free length of the manufacturing configuration of each segment of the main beam based on the coordinates of all endpoints; substitute the rotation angles of the two endpoints of each segment into the third calculation formula to obtain the stress-free rotation angles of the endpoints of each segment of the main beam.
[0113] Acquisition Module: Used to acquire the coordinates of the two ends of each cable member in the design alignment, obtain the stress-free length of the manufacturing configuration of each cable member, and obtain the bridge structure alignment consistent with the bridge design alignment based on the stress-free length of the manufacturing configuration of all cable members, the stress-free length of the manufacturing configuration of each segment of the main beam, and the stress-free rotation angle of the endpoints of each segment of the main beam.
[0114] Furthermore, in one embodiment, the determining module is used to:
[0115] In the finite element model, a preset force is applied to the bridge, and the first structural internal force bending moment of each node on the main beam is obtained, thus obtaining the first structural internal force bending moment matrix.
[0116] Based on the application of a preset force to the bridge, the changes in the structural internal force bending moment of each node on the main beam caused by the application of the first tension increment to each group of cable members are determined and combined to obtain the first change matrix;
[0117] Based on the pre-set force applied to the bridge, the change value of the structural internal force bending moment at each node on the main beam caused by the first reaction force increment applied to the support is determined, and the second change matrix is obtained;
[0118] Based on the first tension increment and the first reaction force increment, the first force increment matrix is obtained;
[0119] Based on the first and second transformation matrices, the third transformation matrix is obtained;
[0120] Substituting the first structural internal force bending moment matrix, the first force increment matrix, and the third change matrix into the first calculation formula, we obtain the second tension increment and the second reaction force increment.
[0121] Based on the pre-set force applied to the bridge, a second tension increment is applied to the cable members and a second reaction force increment is applied to the supports, and the second structural internal force bending moment of each node on the main beam is obtained.
[0122] Determine whether the bending moments of the secondary structure at all nodes are within the preset range;
[0123] If so, the target force increment matrix is obtained using the second tension increment and the second reaction force increment;
[0124] If not, then update the first tension increment and the first reaction force increment, and return to the first change matrix obtained by determining the change value of the structural internal force bending moment of each node on the main beam caused by applying the first tension increment to the cable members based on the preset force applied to the bridge.
[0125] Furthermore, in one embodiment, the calculation module is used for:
[0126] Substituting the first structural internal force bending moment matrix, the first force increment matrix, and the third change matrix into the first calculation formula, we obtain the second tension increment and the second reaction force increment. The first calculation formula is as follows:
[0127]
[0128] in, Here is the bending moment matrix of the internal forces of the first structure. A This is the third transformation matrix. This is the first force increment matrix. This represents the second tension increment and the second reaction force increment.
[0129] Furthermore, in one embodiment, the calculation module is used for:
[0130] Substituting the design profile and the target elastic deformation matrix into the second calculation formula, we obtain the manufacturing profile. The second calculation formula is as follows:
[0131]
[0132] in, C To manufacture linear shapes, To design the linear shape, Let be the target elastic deformation matrix.
[0133] Furthermore, in one embodiment, the calculation module is used for:
[0134] Substituting the vertical coordinates of the second endpoint of the first segment of the main beam manufacturing profile, the vertical coordinates of the first endpoint of the first segment of the main beam manufacturing profile, the horizontal coordinates of the second endpoint of the first segment of the main beam manufacturing profile, the horizontal coordinates of the first endpoint of the first segment of the main beam manufacturing profile, and the rotation angle of the first endpoint of the first segment of the main beam manufacturing profile into the third calculation formula, we obtain the stress-free rotation angle of the first endpoint of the first segment of the main beam manufacturing profile. The third calculation formula is as follows:
[0135]
[0136] in, The first end point of the main beam segment forming the configuration is a stress-free corner. The vertical coordinates of the second endpoint of the first segment of the main beam manufacturing line. The vertical coordinate of the first endpoint of the first segment of the main beam manufacturing line. The horizontal coordinate of the second endpoint of the first segment of the main beam manufacturing line. The horizontal coordinate of the first endpoint of the first segment of the main beam manufacturing line. The first end point of the first segment on the main beam manufacturing line is the rotation angle.
[0137] The functions of each module in the device for simultaneously optimizing the internal forces and alignment of a bridge by using units to manufacture the configuration correspond to the steps in the method embodiment for simultaneously optimizing the internal forces and alignment of a bridge by using units to manufacture the configuration. Their functions and implementation processes will not be described in detail here.
[0138] Thirdly, embodiments of this application provide a device for simultaneously optimizing bridge internal forces and alignment using unit manufacturing configurations. This device can be a personal computer (PC), laptop computer, server, or other device with data processing capabilities.
[0139] Reference Figure 6 , Figure 6 This is a schematic diagram of the hardware structure of the device for simultaneously optimizing bridge internal forces and alignment using unit-based configuration manufacturing, as described in an embodiment of this application. In this embodiment, the device for simultaneously optimizing bridge internal forces and alignment using unit-based configuration manufacturing may include a processor, a memory, a communication interface, and a communication bus.
[0140] The communication bus can be of any type and is used to interconnect the processor, memory, and communication interface.
[0141] The communication interface includes input / output (I / O) interfaces, physical interfaces, and logical interfaces. These interfaces are used to enable the interconnection of components within the linear equipment while simultaneously optimizing the bridge's internal forces and structural configuration using unit-based manufacturing. They also enable the interconnection of the linear equipment 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.
[0142] 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.
[0143] The processor can be a general-purpose processor, which can call a program stored in memory that utilizes the unit to manufacture the configuration and simultaneously optimize the bridge's internal forces and alignment, and execute the method provided in this application for utilizing the unit to manufacture the configuration and simultaneously optimize the bridge's internal forces and alignment. For example, the general-purpose processor can be a central processing unit (CPU). The method executed when the program for utilizing the unit to manufacture the configuration and simultaneously optimize the bridge's internal forces and alignment is called can be referred to in various embodiments of the method for utilizing the unit to manufacture the configuration and simultaneously optimize the bridge's internal forces and alignment in this application, and will not be repeated here.
[0144] Those skilled in the art will understand that Figure 6 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.
[0145] Fourthly, embodiments of this application also provide a computer-readable storage medium.
[0146] The present application stores a program on a computer-readable storage medium that uses a unit to manufacture a configuration while simultaneously optimizing the internal forces and alignment of a bridge. When the program is executed by a processor, it implements the steps of the method described above for using a unit to manufacture a configuration while simultaneously optimizing the internal forces and alignment of a bridge.
[0147] The method for simultaneously optimizing bridge internal forces and alignment using unit manufacturing configurations when the program is executed can be found in various embodiments of the method for simultaneously optimizing bridge internal forces and alignment using unit manufacturing configurations in this application, and will not be repeated here.
[0148] 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.
[0149] 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.
[0150] 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.
[0151] 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.
[0152] 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.
[0153] 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.
[0154] 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 simultaneously optimizing internal forces and alignment of a bridge using unit manufacturing configurations, characterized by, The method for simultaneously optimizing the internal force and the line shape of a bridge by using the manufacturing configuration of the unit comprises the following steps: determining a target force increment matrix for optimizing the internal force of the bridge structure, the target force increment matrix comprising a second tension increment and a second counterforce increment; determining the deformation of each node on the main girder caused by the second tension increment applied to the cable member and the second counterforce increment applied to the support, based on the pre-set force applied to the bridge, to obtain a target elastic deformation matrix, wherein the pre-set force applied to the bridge comprises an initial tension applied to the cable member and an initial counterforce applied to the support; substituting the design line shape and the target elastic deformation matrix into a second calculation formula to obtain a manufacturing line shape; determining the coordinates and the angles of all end points on the manufacturing line shape of the main girder, the end points comprising the contact points of the members with the main girder and the cross points of the main girder, and the end points dividing the main girder into multiple segments, wherein the members comprise the cable member, the support and the tower; and obtaining the unstressed length of the manufacturing configuration of each segment of the main girder according to the coordinates of all the end points; substituting the angles of the two end points of each segment into a third calculation formula to obtain the unstressed angle of the end points of each segment of the main girder; obtaining the coordinates of the two cross points of each cable member in the design line shape to obtain the unstressed length of the manufacturing configuration of each cable member; obtaining the line shape of the bridge structure consistent with the design line shape of the bridge according to the unstressed length of the manufacturing configuration of all the cable members, the unstressed length of the manufacturing configuration of each segment of the main girder and the unstressed angle of the end points of each segment of the main girder.
2. The method for simultaneously optimizing internal forces in bridges and alignment with unit manufacturing configurations according to claim 1, characterized in that, The method for determining the target force increment matrix for optimizing the internal force of the bridge structure comprises the following steps: applying a pre-set force to the bridge in the finite element model and obtaining the first internal force bending moment of each node on the main girder to obtain a first internal force bending moment matrix; determining and combining the change value of the internal force bending moment of each node on the main girder caused by the first tension increment applied to each group of cable members, based on the pre-set force applied to the bridge, to obtain a first change matrix; determining the change value of the internal force bending moment of each node on the main girder caused by the first counterforce increment applied to the support, based on the pre-set force applied to the bridge, to obtain a second change matrix; obtaining a first force increment matrix according to the first tension increment and the first counterforce increment; obtaining a third change matrix according to the first change matrix and the second change matrix; substituting the first internal force bending moment matrix, the first force increment matrix and the third change matrix into a first calculation formula to obtain the second tension increment and the second counterforce increment; applying the second tension increment to the cable member and the second counterforce increment to the support, based on the pre-set force applied to the bridge, and obtaining the second internal force bending moment of each node on the main girder; judging whether the second internal force bending moment of all the nodes is within a pre-set range; if yes, obtaining the target force increment matrix with the second tension increment and the second counterforce increment; if no, updating the first tension increment and the first counterforce increment and returning to the step of determining the change value of the internal force bending moment of each node on the main girder caused by the first tension increment applied to the cable member, based on the pre-set force applied to the bridge, to obtain the first change matrix.
3. The method for simultaneously optimizing internal forces in bridges and alignment with unit manufacturing configurations according to claim 2, characterized in that, The first structure internal force bending moment matrix, the first force increment matrix and the third change matrix are substituted into the first calculation formula to obtain the second tension increment and the second reaction force increment, and the first calculation formula is: wherein, is a first internal force bending moment matrix, A is a third variation matrix, is a first force increment matrix, is a second tension increment and a second reaction force increment.
4. The method for simultaneously optimizing internal forces and geometry of a bridge using a unit manufacturing configuration as recited in claim 1, wherein, The design alignment and the target elastic deformation matrix are substituted into the second calculation formula to obtain the manufacturing alignment, and the second calculation formula is: wherein, C is a manufacturing line, is a design line, is a target elastic deformation matrix.
5. The method for simultaneously optimizing internal forces and geometry of a bridge using a unit manufacturing configuration as recited in claim 1, wherein, The vertical coordinate of the second end point of the first section of the main beam manufacturing alignment, the vertical coordinate of the first end point of the main beam manufacturing alignment, the horizontal coordinate of the second end point of the first section of the main beam manufacturing alignment, the horizontal coordinate of the first end point of the first section of the main beam manufacturing alignment, and the first end point rotation angle of the first section of the main beam manufacturing alignment are substituted into the third calculation formula to obtain the first end point stress-free rotation angle of the first section of the main beam manufacturing configuration, and the third calculation formula is: wherein, manufacturing a first end point stress-free corner of the first segment of the main girder profile, manufacturing a vertical coordinate of the second end point of the linear first segment of the main girder, manufacturing a vertical coordinate of the first end point of the linear first segment of the main girder, manufacturing a horizontal coordinate of the second end point of the linear first segment of the main girder, manufacturing a horizontal coordinate of the first end point of the linear first segment of the main girder, manufacturing a corner of the first end point of the linear first segment of the main girder.
6. A device for simultaneously optimizing the internal forces and alignment of a bridge by utilizing unit-based manufacturing configurations, characterized in that, The device for simultaneously optimizing the bridge internal force and the alignment by the unit manufacturing configuration comprises: A determination module is configured to determine a target force increment matrix for optimizing the bridge structure internal force, and the target force increment matrix comprises a second tension increment and a second reaction force increment; and determine a deformation amount of each node on the main beam caused by applying the second tension increment to the cable member and the second reaction force increment to the support on the basis of applying a preset force to the bridge, to obtain a target elastic deformation matrix, wherein the preset force applied to the bridge comprises an initial tension applied to the cable member and an initial reaction force applied to the support. A calculation module is configured to substitute the design alignment and the target elastic deformation matrix into a second calculation formula to obtain a manufacturing alignment; determine coordinates and rotation angles of all end points of the main beam manufacturing alignment, all end points including main beam cross points, contact points of the support and the main beam, and contact points of the cable member and the main beam, all end points dividing the main beam into multiple sections; obtain stress-free lengths of manufacturing configurations of the main beam sections according to the coordinates of all end points; and substitute the rotation angles of two end points of each section into a third calculation formula to obtain end point stress-free rotation angles of the main beam sections. An acquisition module is configured to acquire coordinates of two end cross points of each cable member in the design alignment to obtain stress-free lengths of manufacturing configurations of all cable members, and obtain a bridge structure alignment consistent with the bridge design alignment according to the stress-free lengths of the manufacturing configurations of all cable members, the stress-free lengths of the manufacturing configurations of the main beam sections, and the end point stress-free rotation angles of the main beam sections.
7. A device for simultaneously optimizing internal forces and alignment of a bridge using a unit manufacturing configuration as claimed in claim 6, characterized in that, The determination module is specifically configured to: In the finite element model, a preset force is applied to the bridge, and first structure internal force bending moments of each node on the main beam are obtained to obtain a first structure internal force bending moment matrix; On the basis of applying the preset force to the bridge, a change value of the structure internal force bending moment of each node on the main beam caused by applying a first tension increment to the cable member is determined to obtain a first change matrix; On the basis of applying the preset force to the bridge, a change value of the structure internal force bending moment of each node on the main beam caused by applying a first reaction force increment to the support is determined to obtain a second change matrix; The first tension increment and the first reaction force increment are used to obtain a first force increment matrix; The first change matrix and the second change matrix are used to obtain a third change matrix; The first internal force bending moment matrix, the first force increment matrix and the third change matrix are substituted into the first calculation formula to obtain a second tension increment and a second reaction force increment; On the basis of applying the preset force to the bridge, a second tension increment is applied to the cable member and a second reaction force increment is applied to the support, and a second internal force bending moment of each node on the main beam is obtained; It is judged whether the second internal force bending moments of all nodes are within a preset range; If yes, a target force increment matrix is obtained by using the second tension increment and the second reaction force increment; If no, the first tension increment and the first reaction force increment are updated, and the step of determining the change value of the internal force bending moment of each node on the main beam caused by the first tension increment applied to the cable member on the basis of applying the preset force to the bridge is returned to obtain a first change matrix.
8. A device for simultaneously optimizing internal forces and alignment of a bridge using a unit manufacturing configuration as claimed in claim 6, characterized in that, The calculation module is specifically configured to: The first internal force bending moment matrix, the first force increment matrix and the third change matrix are substituted into the first calculation formula to obtain a second tension increment and a second reaction force increment, and the first calculation formula is: wherein, is a first internal force bending moment matrix, A is a third variation matrix, is a first force increment matrix, is a second tension increment and a second reaction force increment.
9. A device for simultaneously optimizing internal forces and alignment of a bridge using unit manufacturing configurations, characterized by, The unit manufacturing configuration simultaneous optimization bridge internal force and linear program stored on the memory and executable by the processor, wherein the unit manufacturing configuration simultaneous optimization bridge internal force and linear program is executed by the processor, the steps of the method for simultaneously optimizing the unit manufacturing configuration of the bridge internal force and the linear shape as claimed in any one of claims 1 to 5 are implemented.
10. A computer-readable storage medium, characterized in that, The computer readable storage medium has the unit manufacturing configuration simultaneous optimization bridge internal force and linear program stored thereon, wherein the unit manufacturing configuration simultaneous optimization bridge internal force and linear program is executed by the processor, the steps of the method for simultaneously optimizing the unit manufacturing configuration of the bridge internal force and the linear shape as claimed in any one of claims 1 to 5 are implemented.
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