Method, equipment and medium for obtaining cable force of Y-type arch bridge cable-stayed buckle-hanging method

Abstract

The present invention relates to the field of bridge construction control technology, and in particular to a method, device and medium for obtaining the cable force of a Y-type arch bridge using a cable-stayed and cable-hanging method. The technical solution of the present invention constructs a finite element model of the Y-type arch bridge according to preset parameters, then obtains the unit change value corresponding to each cable model, combines multiple unit change values ​​to obtain an influence matrix, and then establishes a multi-objective linear programming model based on the influence matrix. The multi-objective linear programming model is solved and the cable force value is determined, and then the cable force value is implanted into the finite element model to finally obtain the cable force result of the Y-type arch bridge. Therefore, the present invention can accurately obtain the cable force of the Y-type arch bridge using the cable-stayed and cable-hanging method when it is specifically implemented, thereby solving the technical defects of the related technology in calculating the cable force, such as uneven cable tension and offset of the cable hanging point in actual engineering due to large changes in the cable angle.

Description

Technical Field

[0001] The present invention relates to the technical field of bridge construction control, and in particular to a method, equipment and medium for obtaining cable force of a Y-type arch bridge using a cable-stayed and hanging method. Background Art

[0002] Cable hoisting and hanging method is often used for large-span arch bridges. During construction, the cable tension has a great influence on the actual bridge line shape and stress state of the bridge. Before the cable hoisting method is used, theoretical calculation and simulation must be carried out to determine the cable tension.

[0003] Methods for preliminarily determining the cable tension for long-span arch bridges include the zero-displacement method, the zero-bending-moment method, and the elastic-rigid support method. For spatial Y-shaped arch bridges, the zero-bending-moment method calculates negative and unbalanced cable tensions because the arch ribs and cables are not in the same plane. (The cable tensions of each cable vary greatly, which is unrealistic.) When the zero-displacement method is used to calculate the cable tension, the direction of the calculated cable tension is not parallel to the actual tensioned cable, and the cable angle varies significantly from the actual situation. Therefore, in actual projects, the hanging points often deviate. Summary of the Invention

[0004] The main purpose of the present invention is to provide a method, equipment and medium for obtaining the cable force of a Y-type arch bridge using the cable-stayed hanging method, aiming to solve the technical problems in related technologies such as uneven cable tension when calculating the cable force and offset of the cable hanging points in actual engineering due to large changes in the cable angle.

[0005] To achieve the above-mentioned objectives, in a first aspect, the present invention proposes a method for obtaining cable tension of a Y-shaped arch bridge using a cable-stayed buckle method, comprising the following steps:

[0006] Constructing a finite element model of the Y-shaped arch bridge according to preset parameters; wherein the finite element model includes a plurality of cable models, and the preset parameters include preset load parameters, preset material parameters, preset boundary condition parameters, and geometric dimension parameters of the Y-shaped arch bridge;

[0007] Obtaining the unit change value corresponding to each of the buckling models, and combining the unit change values ​​to obtain an influence matrix;

[0008] Establishing a multi-objective linear programming model based on the influence matrix; wherein the multi-objective linear programming model includes a multi-objective function composed of the objective functions corresponding to the respective buckling models and the constraint conditions corresponding to the respective buckling models;

[0009] Solving the multi-objective linear programming model to determine the cable force value;

[0010] The cable force values ​​are implanted into the finite element model to obtain the cable force results corresponding to each of the cable models of the Y-shaped arch bridge.

[0011] Optionally, the step of constructing a finite element model of the Y-shaped arch bridge according to preset parameters includes:

[0012] Obtaining preset parameters of the Y-shaped arch bridge;

[0013] Constructing a three-dimensional model of the Y-shaped arch bridge; the three-dimensional model includes a plurality of cable models;

[0014] The preset parameters are implanted into the three-dimensional model to construct a finite element model of the Y-shaped arch bridge.

[0015] Optionally, the step of obtaining the unit change value corresponding to each of the buckling models and combining the unit change values ​​to obtain an influence matrix includes:

[0016] Changing the unit cable force of any of the cable models in the finite element model and obtaining its corresponding standard change value; wherein the standard change value includes the cross-sectional stress change value and the displacement of the first buckling point;

[0017] According to the standard change value, obtaining unit change data information of the remaining cable models; wherein the unit change data information includes the displacement change and the cross-sectional stress change at the first buckling point of each of the remaining cable models;

[0018] The unit change data information and the standard change value are combined to form the unit change value, and each of the unit change values ​​is combined to obtain an influence matrix; wherein the influence matrix includes a displacement influence matrix and an interface stress influence matrix;.

[0019] Optionally, the finite element model further includes an arch rib model;

[0020] The step of establishing a multi-objective linear programming model according to the influence matrix includes:

[0021] After the arch rib model is closed, obtaining the displacement corresponding to the second buckling point of each of the buckling cable models;

[0022] Establishing an objective function corresponding to each of the second deduction points according to the displacement;

[0023] A plurality of the objective functions are combined and a multi-objective linear programming model is established according to the influence matrix.

[0024] Optionally, the step of combining the plurality of objective functions and establishing a multi-objective linear programming model according to the influence matrix includes:

[0025] Combining a plurality of the objective functions to obtain a multi-objective function;

[0026] Performing cross-sectional stress constraints on the second buckling points corresponding to each of the buckling cable models in the finite element model to form constraint conditions;

[0027] The multi-objective function is combined with the constraint conditions, and a multi-objective linear programming model is established according to the influence matrix.

[0028] Optionally, the step of solving the multi-objective linear programming model to determine the cable force value includes:

[0029] Performing fuzzy processing on the objective function corresponding to each of the buckling models in the multi-objective function, and establishing a fuzzy mathematical solution model to transform the multi-objective function problem corresponding to the multi-objective function into a single-objective problem;

[0030] The fuzzy mathematical model is solved to obtain an optimal solution for the cable force and the cable force value is determined based on the optimal solution.

[0031] Optionally, before the step of fuzzifying the objective function corresponding to each of the buckling models in the multi-objective function and establishing a fuzzy mathematical solution model to convert the multi-objective function problem corresponding to the multi-objective function into a single-objective problem, the step includes:

[0032] Under the constraints, finding the maximum and minimum values ​​of each objective function;

[0033] The expansion and contraction index corresponding to each of the cable models is obtained according to the maximum value and the minimum value.

[0034] Optionally, the step of fuzzifying the objective function corresponding to each of the buckling models in the multi-objective function and establishing a fuzzy mathematical solution model to convert the multi-objective function problem corresponding to the multi-objective function into a single-objective problem includes:

[0035] According to the stretch index, the objective function corresponding to each of the buckling models in the multi-objective function is fuzzified, and a fuzzy mathematical solution model is established to transform the multi-objective function problem corresponding to the multi-objective function into a single-objective problem.

[0036] Based on the same technical concept, in a second aspect, the present invention further proposes a device for obtaining the cable force of a Y-type arch bridge using a cable-stayed buckle method, the device comprising: a memory, a processor, and a program for obtaining the cable force of a Y-type arch bridge using a cable-stayed buckle method stored in the memory.

[0037] The program for obtaining the cable force of the Y-type arch bridge inclined-stayed buckle-hanging method is executed by the processor to implement the steps of the method for obtaining the cable force of the Y-type arch bridge inclined-stayed buckle-hanging method described in the first aspect.

[0038] Based on the same technical concept, in the third aspect, the present invention also proposes a storage medium, which is a computer-readable storage medium, and the computer-readable storage medium stores a program for obtaining the cable force of a Y-type arch bridge inclined-stayed buckle-hanging method. The program for obtaining the cable force of a Y-type arch bridge inclined-stayed buckle-hanging method is executed by a processor to implement the steps of the method for obtaining the cable force of a Y-type arch bridge inclined-stayed buckle-hanging method described in the first aspect.

[0039] The technical solution of the present invention constructs a finite element model of a Y-type arch bridge according to preset parameters, then obtains the unit change value corresponding to each cable model, combines multiple unit change values ​​to obtain an influence matrix, and then establishes a multi-objective linear programming model based on the influence matrix. The multi-objective linear programming model is solved and the cable force value is determined, and then the cable force value is implanted into the finite element model to finally obtain the cable force result of the Y-type arch bridge. This allows the present invention to accurately obtain the cable force of the Y-type arch bridge's oblique-stayed cable when it is specifically implemented, solving the technical defects of the related technology in calculating the cable force, such as uneven cable tension and offset of the cable hanging point in actual engineering due to large changes in the cable angle. BRIEF DESCRIPTION OF THE DRAWINGS

[0040] In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the following briefly introduces the drawings required for use in the embodiments or the description of the prior art. Obviously, the drawings described below are only some embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on the structures shown in these drawings without paying any creative work.

[0041] Figure 1 Flow chart of a method for obtaining cable force of a Y-type arch bridge using the buckle-and-hook method according to an example of the present invention;

[0042] Figure 2 for Figure 1 Flowchart of step S100 in the example;

[0043] Figure 3 for Figure 1 Flowchart of step S200 in the example;

[0044] Figure 4 for Figure 1 Flowchart of step S300 in the example;

[0045] Figure 5 for Figure 4 Flowchart of step S330 in the example;

[0046] Figure 6 for Figure 1 Flowchart of step S400 in the example;

[0047] Figure 7 for Figure 1 Flowchart of an improved embodiment of step S400 illustrated in FIG.

[0048] Figure 8 Schematic diagram of the side structure of a Y-shaped arch bridge to which the exemplary method of the present invention is applied;

[0049] Figure 9 for Figure 7 Finite element model of an example arch bridge structure;

[0050] Figure 10 for Figure 8 Bending moment diagrams of the lower edge of the section at each buckle point in the example finite element model;

[0051] Figure 11 for Figure 8 Bending moment diagrams of the upper edge of the cross section at each buckle point in the example finite element model;

[0052] Figure 12 The vertical displacement of the arch rib along the bridge under three cable force calculation methods.

[0053] The purpose, features and advantages of the present invention will be further described with reference to the accompanying drawings and in conjunction with the embodiments. DETAILED DESCRIPTION

[0054] The following will clearly and completely describe the technical solutions in the embodiments of the present invention in conjunction with the accompanying drawings. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. All other embodiments obtained by ordinary technicians in this field based on the embodiments of the present invention without making any creative efforts shall fall within the scope of protection of the present invention.

[0055] It should be noted that all directional indications (such as up, down, left, right, front, back, etc.) in the embodiments of the present invention are only used to explain the relative position relationship, movement status, etc. between various mechanisms under a certain specific posture (as shown in the accompanying drawings). If the specific posture changes, the directional indication will also change accordingly.

[0056] In the present invention, unless otherwise specified or limited, the terms "connection" and "fixation" should be understood in a broad sense. For example, "fixation" can mean fixed connection, detachable connection, or integration; mechanical connection or electrical connection; direct connection or indirect connection through an intermediate medium; internal communication between two elements or interaction between two elements, unless otherwise specified. Those skilled in the art will be able to understand the specific meanings of the above terms in the present invention based on specific circumstances.

[0057] In addition, if there are descriptions involving "first", "second", etc. in the embodiments of the present invention, the descriptions of "first", "second", etc. are only for descriptive purposes and cannot be understood as indicating or suggesting their relative importance or implicitly indicating the number of the indicated technical features. Therefore, the features defined as "first" and "second" may explicitly or implicitly include at least one of such features. In addition, the meaning of "and / or" appearing throughout the text includes three parallel schemes. Taking "A and / or B" as an example, it includes scheme A, or scheme B, or a scheme in which A and B are satisfied at the same time. In addition, the technical solutions between the various embodiments can be combined with each other, but it must be based on the ability of ordinary technicians in this field to implement. When the combination of technical solutions is mutually contradictory or cannot be implemented, it should be deemed that such a combination of technical solutions does not exist and is not within the scope of protection required by the present invention.

[0058] The inventive concept of the present invention is further described below with reference to some specific embodiments.

[0059] The present invention provides a method for obtaining the cable force of a Y-type arch bridge using a cable-stayed buckle-hanging method.

[0060] like Figures 1 to 12 As shown, an embodiment of the method for obtaining the cable force of the Y-type arch bridge inclined-stayed cable using the buckle-hanging method of the present invention is proposed.

[0061] In this embodiment, please refer to Figure 1 The method for obtaining the cable force of the Y-type arch bridge using the cable-stayed buckle hanging method includes the following steps:

[0062] S100: Constructing a finite element model of the Y-shaped arch bridge according to preset parameters; wherein the finite element model includes a plurality of cable models, and the preset parameters include preset load parameters, preset material parameters, preset boundary condition parameters, and geometric dimension parameters of the Y-shaped arch bridge;

[0063] S200, obtaining the unit change value corresponding to each of the buckling models, and combining the unit change values ​​to obtain an influence matrix;

[0064] S300: Establishing a multi-objective linear programming model based on the influence matrix; wherein the multi-objective linear programming model includes a multi-objective function composed of the objective functions corresponding to the respective buckling models and the constraint conditions corresponding to the respective buckling models;

[0065] S400, solving the multi-objective linear programming model to determine the cable force value;

[0066] S500: implanting the cable force value into the finite element model to obtain the cable force results corresponding to each of the cable models of the Y-shaped arch bridge.

[0067] In some embodiments, the step of constructing a finite element model of the Y-shaped arch bridge according to preset parameters includes:

[0068] S110, obtaining preset parameters of the Y-shaped arch bridge;

[0069] S120: constructing a three-dimensional model of the Y-shaped arch bridge; the three-dimensional model includes a plurality of cable models;

[0070] S130. Implanting the preset parameters into the three-dimensional model to construct a finite element model of the Y-shaped arch bridge.

[0071] In some embodiments, the step of obtaining the unit change value corresponding to each of the buckling models and combining the unit change values ​​to obtain an influence matrix includes:

[0072] S210, changing the unit cable force of any of the cable models in the finite element model and obtaining its corresponding standard change value; wherein the standard change value includes a cross-sectional stress change value and a first buckling point displacement;

[0073] S220: Acquire unit change data information of the remaining cable models according to the standard change value; wherein the unit change data information includes the displacement change and cross-sectional stress change at the first buckling point of each of the remaining cable models;

[0074] S230, combining the unit change data information and the standard change value to form the unit change value, and combining the unit change values ​​to obtain an influence matrix; wherein the influence matrix includes a displacement influence matrix and an interface stress influence matrix;

[0075] In some embodiments, the finite element model further includes an arch rib model;

[0076] The step of establishing a multi-objective linear programming model according to the influence matrix includes:

[0077] S310, after the arch rib model is closed, obtaining the displacement corresponding to the second buckling point of each of the buckling cable models;

[0078] S320: establishing an objective function corresponding to each second deduction point according to the displacement;

[0079] S330: Combine the multiple objective functions and establish a multi-objective linear programming model according to the influence matrix.

[0080] In some embodiments, the step of combining the plurality of objective functions and establishing a multi-objective linear programming model according to the influence matrix includes:

[0081] S331, combining multiple objective functions to obtain a multi-objective function;

[0082] S332. Performing cross-sectional stress constraints on the second buckling points corresponding to the buckling cable models in the finite element model to form constraint conditions;

[0083] S333. Combine the multi-objective function with the constraint conditions, and establish a multi-objective linear programming model based on the influence matrix.

[0084] In some embodiments, the step of solving the multi-objective linear programming model to determine the cable force value includes:

[0085] S410, performing fuzzification processing on the objective function corresponding to each of the buckling models in the multi-objective function, and establishing a fuzzy mathematical solution model to transform the multi-objective function problem corresponding to the multi-objective function into a single-objective problem;

[0086] S420: Solve the fuzzy mathematical model to obtain an optimal solution for the cable force and determine the cable force value based on the optimal solution.

[0087] In some embodiments, before the step of fuzzifying the objective function corresponding to each of the buckling models in the multi-objective function and establishing a fuzzy mathematical solution model to convert the multi-objective function problem corresponding to the multi-objective function into a single-objective problem, the method includes:

[0088] A100, under the constraints, obtaining the maximum and minimum values ​​of each objective function;

[0089] A200: Obtain a telescopic index corresponding to each of the cable models according to the maximum value and the minimum value.

[0090] In some embodiments, the step of fuzzifying the objective function corresponding to each of the buckling models in the multi-objective function and establishing a fuzzy mathematical solution model to convert the multi-objective function problem corresponding to the multi-objective function into a single-objective problem includes:

[0091] According to the stretch index, the objective function corresponding to each of the buckling models in the multi-objective function is fuzzified, and a fuzzy mathematical solution model is established to transform the multi-objective function problem corresponding to the multi-objective function into a single-objective problem.

[0092] Based on the same technical concept, in a second aspect, the present invention further proposes a cable force acquisition device for a Y-type arch bridge using a cable-stayed buckle method, characterized in that the cable force acquisition device for a Y-type arch bridge using a cable-stayed buckle method comprises: a memory, a processor, and a cable force acquisition program for a Y-type arch bridge using a cable-stayed buckle method stored in the memory.

[0093] The program for obtaining the cable force of the Y-type arch bridge inclined-stayed buckle-hanging method is executed by the processor to implement the steps of the method for obtaining the cable force of the Y-type arch bridge inclined-stayed buckle-hanging method described in the first aspect.

[0094] Based on the same technical concept, in the third aspect, the present invention further proposes a storage medium, which is a computer-readable storage medium, and is characterized in that a program for obtaining the cable tension of a Y-type arch bridge inclined-stayed buckle-hanging method is stored on the computer-readable storage medium, and the program for obtaining the cable tension of a Y-type arch bridge inclined-stayed buckle-hanging method is executed by a processor to implement the steps of the method for obtaining the cable tension of a Y-type arch bridge inclined-stayed buckle-hanging method described in the first aspect.

[0095] The technical solution of the present invention constructs a finite element model of a Y-type arch bridge according to preset parameters, then obtains the unit change value corresponding to each cable model, combines multiple unit change values ​​to obtain an influence matrix, and then establishes a multi-objective linear programming model based on the influence matrix. The multi-objective linear programming model is solved and the cable force value is determined, and then the cable force value is implanted into the finite element model to finally obtain the cable force result of the Y-type arch bridge. This allows the present invention to accurately obtain the cable force of the Y-type arch bridge's oblique-stayed cable when it is specifically implemented, solving the technical defects of the related technology in calculating the cable force, such as uneven cable tension and offset of the cable hanging point in actual engineering due to large changes in the cable angle.

[0096] In some exemplary embodiments, the cable tension acquisition method of the Y-type arch bridge cable-stayed buckle method of the present invention is performed as follows:

[0097] Cable hoisting and hanging method is often used for large-span arch bridges. During construction, the cable tension has a great influence on the actual bridge line shape and stress state of the bridge. Before the cable hoisting method is used, theoretical calculation and simulation must be carried out to determine the cable tension.

[0098] Methods for preliminarily determining the cable tension for long-span arch bridges include the zero displacement method, the zero bending moment method, and the elastic-rigid support method. For spatial Y-shaped arch bridges, since the arch ribs and cables are not in the same plane, the cable tension calculated by the zero bending moment method is negative and unbalanced (the cable tension of each cable varies greatly, which is not realistic). When the zero displacement method is used to calculate the cable tension, the direction of the calculated cable tension is not parallel to the actual tensioned cable, and the cable angle varies greatly from the actual situation. Therefore, in actual projects, the hanging points often shift. The influence matrix method mentioned in the literature links the cable tension with the cross-sectional stress and displacement to determine the cable tension value for the arch bridge cable hoisting construction; the multi-objective linear programming in the literature and the fuzzy mathematics theory proposed in the literature [9] It can be used as a theoretical calculation basis and combined with the influence matrix method to propose an optimization algorithm.

[0099] This paper takes a certain bridge as the background, takes the reasonable internal force state of the arch rib during the construction of the cable-stayed and buckled method as the control target, establishes the objective function and constraint equations based on the influence matrix, and uses fuzzy mathematics theory to solve the optimal cable force value, thus proposing a cable force suitable for spatial Y-shaped arch bridges.

[0100] The literature proposes an influence matrix, which establishes the relationship between cable force and target state variables such as arch rib stress and displacement. The parameters of the influence matrix can be quickly solved using finite element software. In MIDAS, by changing the unit cable force, the changes in cross-sectional stress and displacement at the buckle point can be obtained. These changes are assembled into a matrix to obtain the changes in displacement and cross-sectional stress at other buckle points caused by the change in cable force at one buckle point. [11-12] . Buckle point control section displacement influence matrix { A}, buckle point control section stress influence matrix { B} is as follows:

[0101]

[0102] Where: A} is the displacement matrix of the buckling point; B} is the stress influence matrix of the buckle point control section; a ij express j The arch rib node is caused by the change of unit force of the cable i The change of arch rib displacement at ; b ij express j The change of unit force caused by the cablei Stress change of the arch rib section at the node; n The deduction point number.

[0103] Multi-objective linear programming:

[0104] Establish a multi-objective function:

[0105] When performing multi-objective linear programming, the displacement of the post-closure buckle points of the arch ribs is used as the objective function. Based on the displacement influence matrix parameters, a corresponding objective function is established for the displacement at each buckle point. Through the control of multiple objective functions, the displacement of the corresponding buckle points is minimized to meet the linear requirements of the post-closure arch ribs. The displacement calculation formula for each buckle point of the arch rib after closure is:

[0106]

[0107] in: z i (i=1~n) For the i Displacement of the arch rib at the buckle point during the closure stage; a ij is the displacement influence matrix { A} each parameter in; G i Indicates that the arch rib is under the action of its own weight i Displacement value at the buckle point; T i express i The cable force at the buckling point, n The deduction point number.

[0108] Create constraints:

[0109] When the tensioning of the buckle causes the arch rib to displace, the maximum bending moment generally occurs at the top or bottom of the section. The buckle force during construction significantly affects the internal force state of the arch rib section. To prevent the cross-sectional stress from exceeding the allowable limit during construction, the cross-sectional stress at each buckle point must be constrained to meet the construction requirements. The constraint equation is:

[0110]

[0111] in: b ij is the internal force influence matrix { B} each parameter in; represents the maximum stress value at the i-buckle point of the arch rib under the action of its own weight; [ σ ] represents the allowable stress value of each section.

[0112] Build a multi-objective programming model:

[0113] make T={T 1 ,T 2 ,…,T n } T ,G= {G 1 ,G 2 ,…,G n } T ,

[0114] Objective function: min T * = AT + G

[0115]

[0116] Using fuzzy mathematics theory to solve multi-objective linear programming:

[0117] When solving cable tension values ​​for multi-objective linear programming, one seeks to obtain a set of cable tension values ​​such that all objective functions simultaneously achieve minimum displacement values ​​at each buckling point under the action of the cable tension. Such a set of cable tension values ​​generally does not exist. Therefore, when solving the cable tension, a compromise solution is adopted to minimize each objective function as much as possible. Fuzzy mathematics theory can fuzzify each objective function, transforming the problem of simultaneously minimizing multiple objective functions into the problem of minimizing a single objective function. The resulting fuzzy optimal solution can be used as the optimal solution for the arch rib cable tension. The specific solution method is as follows:

[0118] (1) Fuzzy processing of single objective function. First, in the constraint condition B•T + σ ≤[ σ ], T ≥0 to obtain each objective function z i (i=1~n) The maximum value and minimum value , and then derive the stretch index .

[0119] (2) Establish a fuzzy mathematical solution model to transform the multi-objective function problem into a single-objective problem. The solution model is as follows:

[0120]

[0121] (3) Use MATLAB software to find the solution of fuzzy mathematical model T * ={ T 1, T2,…, T n , λ}, then the optimal solution of the cable force obtained by the optimization algorithm is T * ={ T 1, T 2,…, T n}.

[0122] Project Background:

[0123] A certain bridge is a mid-through, spatial, Y-shaped steel box arch bridge. The bridge is 284 meters long, with a span arrangement of (19.5+220+19.5) meters. The standard section width is 18 meters, and the beam width at the viewing platform is 36 meters. The main arch is a hingeless arch: the main beam side and the main span utilize a suspended continuous beam structure. Vertical supports are installed at the piers and crossbeams on the arch, resulting in a calculated span combination of (19.5+197+19.5) meters. The suspenders are flexible, arranged at 6-meter intervals, with 29 pairs in total. Steel anchor boxes are used at each end to connect the beam and arch, respectively. The arch ends are tensioned, while the beam ends are anchored.

[0124] The main arch adopts a spatial Y-shaped variable-section box arch. The arch axis is Y-shaped in plan projection. The single arch is arranged on the left bank of the Jing River, and the double arch is arranged on the right bank of the Jing River. The axis diverges from K35+288.500, with an included angle of 12.42°.

[0125] Construction process:

[0126] The main arch ribs were hoisted symmetrically from both banks using a cable system until they were closed. There are 15 sections in total. On the left bank, the Liquan side of the main arch segments are S01 to S07, with cables numbered 1 to 7; on the right bank, the Chunhua side of the main arch segments are S09 to S15, with cables numbered 8 to 14. The closing section is S08.

[0127] Table 1: Construction process table

[0128]

[0129] Finite element model establishment:

[0130] A finite element model was established using MIDAS according to the actual construction sequence of a bridge. The main arch ribs, secondary arch ribs, and the connections between the main and secondary arch ribs were simulated using beam elements, truss elements were used to simulate the cables, and the hangers were simulated using tension-only elements. A total of 1723 nodes and 355 elements were used. Among them, there were 1431 beam elements, 44 truss elements, and 58 tension-only elements. x, y, z The directions represent the longitudinal direction, transverse direction and vertical direction respectively. The full bridge model is as follows Figure 8 Ordinary supports use elastic connections, simplifying the connection between the cable and the main tower to a fixed end.

[0131] Determine the impact matrix:

[0132] Considering that the main arch is a symmetrical structure except for the bifurcation, the left bank arch rib is selected for cable force optimization calculation to simplify the calculation. According to the influence matrix principle, the unit force of the cable is changed at the buckling point to obtain the influence matrix of stress and displacement at the key point of the left bank arch rib { A}and{ B}, see Tables 1 and 2. The two influence matrices indicate that, because cantilever construction was carried out on both banks and the cables were tensioned once, the cable forces in the previous construction phase did not affect the structure in the next phase. Therefore, the influence matrices for displacement and stress are both triangular matrices.

[0133] Table 2: Effect matrix {A} of the displacement of the left bank cable obtained by changing the cable force

[0134]

[0135] Table 3: Displacement influence matrix obtained by changing the left bank cable force { B}

[0136]

[0137] Introducing multi-objective linear programming:

[0138] The displacement of the arch rib buckle point after the arch bridge is dropped is set as the objective function, and the maximum stress at the top or bottom of the buckle point section is selected as the constraint condition to solve the optimal cable force value { P 1, P 2,…, P n The main arch rib is a space Y-shaped variable cross-section steel box arch, the material used is Q420q steel, and its compressive strength design value is 420MPa, so is 420MPa. According to the established finite element model, the maximum stress of the buckle point section of the arch rib under the action of its own weight is obtained. G 1, G 2,…, G n}={-34.46,-43.69,-76.71,-73.93,-56.04,-17.92,-4.52}, and establish a multi-objective linear programming model.

[0139] The constraints are determined as:

[0140]

[0141]

[0142] Combined with fuzzy mathematics theory, the single objective function z is obtained iThe maximum value that satisfies the constraints and minimum value Maximum value ={48.5,42.1,39.3,36.8,32.9,28.6,25.4}, minimum ={23.9,21.8,20.4,18.6,14.3,13.8,11.2}, get the expansion index d i ={24.6,20.3,18.3,18.2,18.6,14.8,14.2}. According to the fuzzy mathematics solution theory, the multi-objective linear programming problem is transformed into a single-objective linear programming problem, and the solution model is established.

[0143]

[0144] By solving the single-objective linear programming with MATLAB, we can get the optimal cable force T*={ T 1, T 2,…, T n}={73.56,141.97,207.23,332.66,472.9,712.4,552.87}, unit is kN.

[0145] Taking a certain bridge as an example, a comparative analysis was conducted using three methods for calculating the cable forces: the optimization algorithm, the zero-displacement method, and the elastic-rigid support method. The table below shows the cable forces and the displacements of the cable points using the three cable force calculation methods.

[0146] Table 4: Comparison of cable force values ​​obtained using three cable force calculation methods

[0147]

[0148] Table 5: Comparison of the displacement of the buckling point obtained by three methods of calculating the cable force

[0149]

[0150] As shown in Table 3: (1) Among the three cable tension calculation methods, the cable tension value obtained by the optimization algorithm is the smallest. Compared with the zero displacement method and the elastic-rigid support method, the maximum reduction in cable tension value is 21.28% and 27.06%, respectively. That is, the optimization algorithm can more accurately simulate the cable tension value required for cable installation. (2) The three cable tension values ​​are introduced into the finite element model of a bridge to obtain the displacement of each buckle point. As shown in Table 4, because the cable tension value obtained by the optimization algorithm is smaller, the displacement of the buckle point obtained by the optimization algorithm is also lower than that obtained by the other two methods. Compared with the zero displacement method and the elastic-rigid support method, the maximum reduction in the buckle point displacement value is 35.92% and 29.60%, respectively.

[0151] Note: ZS1~ZS7 are the control section numbers of the Liquan side buckle points on the left bank; ZS8~ZS14 are the control section numbers of the Chunhua side buckle points on the right bank.

[0152] The stresses at the upper and lower edges of the control section are shown in the following table when three cable tension values ​​are applied at the arch rib buckle points. Figure 9 and Figure 10 The analysis shows that (1) when the bridge is completed, the maximum compressive stress at the upper edge of the left bank arch rib section is -6.18MPa, which is less than the stress at the upper edge under the other two cable force values; the maximum compressive stress at the lower edge of the section is -14.78MPa, which is also less than the stress at the lower edge after the application of the other two cable force values. (2) Compared with the zero displacement method and the elastic-rigid support method, the cable force value obtained by the optimization algorithm has a more uniform stress distribution at the upper and lower edges of the control section after the cable force is applied, and both are within the allowable range of the material, which further shows that the cable force value obtained by the optimization algorithm can improve the stress condition of the arch rib.

[0153] Depend on Figure 11 It can be seen that when the cable tension calculated by the optimization algorithm is used for arch rib cable installation, the linear shape after closing into an arch is closer to the target linear shape; the linear shape using the elastic-rigid support method and the zero displacement method is saddle-shaped, which has a large deviation compared with the target linear shape. Therefore, it can be seen that the optimization algorithm has significant advantages in linear shape control.

[0154] 1. The optimized calculation method for cable-stayed cables in large-span arch bridges greatly improves the problem of excessively large cable forces calculated by traditional cable calculation methods. Furthermore, the stress and displacement of each cable point are taken into account during optimization, making the cable forces calculated by the optimization algorithm more consistent with engineering practice.

[0155] 2. Combining an influence matrix, using the cross-sectional stress at each buckle point as a constraint and the displacement of multiple buckle points as the objective function, a cable-buckle method is developed through multi-objective linear programming. This method is suitable for cable installation in long-span arch bridges. The cable tension values ​​calculated by the optimization algorithm are incorporated into the finite element model, ensuring uniform stress distribution and meeting material limits. This also reduces stress and deformation in the arch rib structure during construction, and the construction company's tensioning equipment can use this cable tension value as a reference.

[0156] 3. The results of optimization calculations using a single objective function often cannot meet the stress and deformation requirements of all buckle points. The optimization algorithm establishes an objective function and constraint range for each buckle point. The obtained cable force value is brought into the finite element model to improve the buckle point displacement and cross-sectional stress.

[0157] 4. Use the methods in fuzzy mathematics theory to solve multi-objective linear programming, and obtain the rope force value so that the results of each objective function are as optimal as possible. Combined with MATLAB software, it can achieve fast and accurate solutions.

[0158] Cable force acquisition device, the cable force acquisition device of the Y-type arch bridge inclined-stayed buckle hanging method comprises: a memory, a processor and a cable force acquisition program of the Y-type arch bridge inclined-stayed buckle hanging method stored in the memory,

[0159] The program for obtaining the cable force of the Y-type arch bridge inclined-stayed buckle-hanging method is executed by the processor to implement the steps of the method for obtaining the cable force of the Y-type arch bridge inclined-stayed buckle-hanging method described in the first aspect.

[0160] The present embodiment provides a device for obtaining the cable tension of a Y-type arch bridge using the cable-stayed buckle-hanging method. The device for obtaining the cable tension of a Y-type arch bridge using the cable-stayed buckle-hanging method may include a processor and a memory. The memory stores a program for obtaining the cable tension of a Y-type arch bridge using the cable-stayed buckle-hanging method. When the program for obtaining the cable tension of a Y-type arch bridge using the cable-stayed buckle-hanging method is executed by the processor, all or part of the steps of each embodiment of the method for obtaining the cable tension of a Y-type arch bridge using the cable-stayed buckle-hanging method of the present invention are implemented.

[0161] Specifically, the cable force acquisition device for the Y-type arch bridge cable-stayed buckle hanging method refers to a terminal device or network device that can achieve network connection, which can be a terminal device such as a mobile phone, computer, tablet computer, portable computer, or a network device such as a server or cloud platform.

[0162] It is understood that the cable tension acquisition device for a Y-type arch bridge using the buckle method may also include a communication bus, a user interface, and a network interface. The communication bus is used to enable communication between these components; the user interface is used to connect to and communicate data with a client, and may include an output unit, such as a display screen, and an input unit, such as a keyboard; the network interface is used to connect to and communicate data with a backend server, and may include an input / output interface, such as a standard wired interface or a wireless interface.

[0163] The memory is used to store various types of data, which may include, for example, instructions for any application or method in the cable tension acquisition device for the Y-type arch bridge cable-stayed buckle method, as well as data related to the application. The memory can be implemented by any type of volatile or non-volatile storage device, or a combination thereof, such as static random access memory (SRAM), random access memory (RAM), electrically erasable programmable read-only memory (EEPROM), erasable programmable read-only memory (EPROM), programmable read-only memory (PROM), read-only memory (ROM), magnetic storage, flash memory, magnetic disk, or optical disk. Optionally, the memory can also be a storage device independent of the processor.

[0164] The processor is used to call the cable tension acquisition program of the Y-type arch bridge inclined-stayed buckle hanging method stored in the memory, and execute the cable tension acquisition method of the Y-type arch bridge inclined-stayed buckle hanging method as described above. The processor can be an application specific integrated circuit (ASIC), a digital signal processor (DSP), a digital signal processing device (DSPD), a programmable logic device (PLD), a field programmable gate array (FPGA), a controller, a microcontroller, a microprocessor or other electronic components, and is used to execute all or part of the steps of each embodiment of the cable tension acquisition method of the Y-type arch bridge inclined-stayed buckle hanging method as described above.

[0165] Based on the same technical concept, in the third aspect, the present invention also proposes a storage medium, which is a computer-readable storage medium, and the computer-readable storage medium stores a program for obtaining the cable force of a Y-type arch bridge inclined-stayed buckle-hanging method. The program for obtaining the cable force of a Y-type arch bridge inclined-stayed buckle-hanging method is executed by a processor to implement the steps of the method for obtaining the cable force of a Y-type arch bridge inclined-stayed buckle-hanging method described in the first aspect.

[0166] Based on the same inventive concept, this embodiment provides a computer-readable storage medium, such as a flash memory, a hard disk, a multimedia card, a card-type memory (for example, an SD or DX memory, etc.), a random access memory (RAM), a static random access memory (SRAM), a read-only memory (ROM), a programmable read-only memory (PROM), an erasable programmable read-only memory (EPROM), an electrically erasable programmable read-only memory (EEPROM), a magnetic memory, a disk, an optical disk, a server, etc., wherein a computer program is stored on the storage medium, and the computer program can be executed by one or more processors. When the computer program is executed by the processor, all or part of the steps of each embodiment of the method for obtaining the cable tension of the cable-stayed cable of a Y-type arch bridge using the buckle-hanging method of the present invention can be implemented.

[0167] The technical solution of the present invention constructs a finite element model of a Y-type arch bridge according to preset parameters, then obtains the unit change value corresponding to each cable model, combines multiple unit change values ​​to obtain an influence matrix, and then establishes a multi-objective linear programming model based on the influence matrix. The multi-objective linear programming model is solved and the cable force value is determined, and then the cable force value is implanted into the finite element model to finally obtain the cable force result of the Y-type arch bridge. This allows the present invention to accurately obtain the cable force of the Y-type arch bridge's oblique-stayed cable when it is specifically implemented, solving the technical defects of the related technology in calculating the cable force, such as uneven cable tension and offset of the cable hanging point in actual engineering due to large changes in the cable angle.

[0168] The above descriptions are merely optional embodiments of the present invention and do not limit the patent scope of the present invention. All equivalent structural transformations made using the contents of the present description and drawings under the inventive concept of the present invention, or direct / indirect applications in other related technical fields, are included in the patent protection scope of the present invention.

Claims

1. A method for obtaining cable force of a Y-type arch bridge using a cable-stayed buckle method, characterized in that: The steps include: Constructing a finite element model of the Y-shaped arch bridge according to preset parameters; wherein the finite element model includes a plurality of cable models, and the preset parameters include preset load parameters, preset material parameters, preset boundary condition parameters, and geometric dimension parameters of the Y-shaped arch bridge; Obtaining the unit change value corresponding to each of the buckling models, and combining the unit change values ​​to obtain an influence matrix; Establishing a multi-objective linear programming model based on the influence matrix; wherein the multi-objective linear programming model includes a multi-objective function composed of the objective functions corresponding to the respective buckling models and the constraint conditions corresponding to the respective buckling models; solving the multi-objective linear programming model to determine the cable force value; implanting the cable force value into the finite element model to obtain a cable force result of the Y-shaped arch bridge; The step of obtaining the unit change value corresponding to each of the buckling models and combining the unit change values ​​to obtain an influence matrix includes: Changing the unit cable force of any of the cable models in the finite element model and obtaining its corresponding standard change value; wherein the standard change value includes the cross-sectional stress change value and the displacement of the first buckling point; According to the standard change value, obtaining unit change data information of the remaining cable models; wherein the unit change data information includes the displacement change and the cross-sectional stress change at the first buckling point of each of the remaining cable models; Combining the unit change data information and the standard change value to form the unit change value, and combining the unit change values ​​to obtain an influence matrix; wherein the influence matrix includes a displacement influence matrix and an interface stress influence matrix; The finite element model also includes an arch rib model; The step of establishing a multi-objective linear programming model according to the influence matrix includes: After the arch rib model is closed, obtaining the displacement corresponding to the second buckling point of each of the buckling cable models; Establishing an objective function corresponding to each of the second deduction points according to the displacement; Combining a plurality of the objective functions and establishing a multi-objective linear programming model according to the influence matrix; The step of combining the plurality of objective functions and establishing a multi-objective linear programming model according to the influence matrix includes: Combining a plurality of the objective functions to obtain a multi-objective function; Performing cross-sectional stress constraints on the second buckling points corresponding to each of the buckling cable models in the finite element model to form constraint conditions; The multi-objective function is combined with the constraint conditions, and a multi-objective linear programming model is established according to the influence matrix.

2. The method for obtaining cable force of a Y-shaped arch bridge using a buckle-and-hook method according to claim 1, characterized in that: The step of constructing a finite element model of the Y-shaped arch bridge according to preset parameters includes: Obtaining preset parameters of the Y-shaped arch bridge; Constructing a three-dimensional model of the Y-shaped arch bridge; the three-dimensional model includes a plurality of cable models; The preset parameters are implanted into the three-dimensional model to construct a finite element model of the Y-shaped arch bridge.

3. The method for obtaining cable force of a Y-shaped arch bridge using a buckle-and-hook method according to claim 1, wherein: The step of solving the multi-objective linear programming model to determine the cable force value includes: Performing fuzzy processing on the objective function corresponding to each of the buckling models in the multi-objective function, and establishing a fuzzy mathematical solution model to transform the multi-objective function problem corresponding to the multi-objective function into a single-objective problem; The fuzzy mathematical solution model is solved to obtain an optimal solution for the cable force and the cable force value is determined based on the optimal solution.

4. The method for obtaining cable force of a Y-shaped arch bridge using a buckle-and-hook method as claimed in claim 3, characterized in that: Before the step of fuzzifying the objective function corresponding to each of the buckling models in the multi-objective function and establishing a fuzzy mathematical solution model to convert the multi-objective function problem corresponding to the multi-objective function into a single-objective problem, the method includes: Under the constraints, finding the maximum and minimum values ​​of each objective function; The expansion and contraction index corresponding to each of the cable models is obtained according to the maximum value and the minimum value.

5. The method for obtaining cable force of a Y-shaped arch bridge using a buckle-and-hook method as claimed in claim 4, characterized in that: The step of fuzzifying the objective function corresponding to each of the buckling models in the multi-objective function and establishing a fuzzy mathematical solution model to convert the multi-objective function problem corresponding to the multi-objective function into a single-objective problem includes: According to the stretch index, the objective function corresponding to each of the buckling models in the multi-objective function is fuzzified, and a fuzzy mathematical solution model is established to transform the multi-objective function problem corresponding to the multi-objective function into a single-objective problem.

6. A cable force acquisition device for a Y-type arch bridge using a cable-stayed buckle method, characterized in that: The cable force acquisition device for a Y-type arch bridge inclined-stayed buckle-hanging method comprises: a memory, a processor, and a cable force acquisition program for a Y-type arch bridge inclined-stayed buckle-hanging method stored in the memory. The program for obtaining the cable force of the Y-type arch bridge inclined-stayed buckle-hanging method is executed by the processor to implement the steps of the method for obtaining the cable force of the Y-type arch bridge inclined-stayed buckle-hanging method as described in any one of claims 1 to 5.

7. A storage medium, wherein the storage medium is a computer-readable storage medium, characterized in that: The computer-readable storage medium stores a program for obtaining the cable tension of a Y-type arch bridge using the cable-stayed buckle-hanging method, and the program for obtaining the cable tension of a Y-type arch bridge using the cable-stayed buckle-hanging method is executed by a processor to implement the steps of the method for obtaining the cable tension of a Y-type arch bridge using the cable-stayed buckle-hanging method as described in any one of claims 1 to 5.

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