Method and system for determining sectional area of main cable of self-anchored suspension cable-cable-stayed cooperative system bridge
By using the horizontal tension equality of the theoretical IP points at the top of the main cable tower in the self-anchored suspension cable-cable-stayed cooperative system bridge, the main cable cross-sectional area determination formula is derived, and the main cable cross-sectional area is directly calculated, which solves the problem of cumbersome iterative calculation in traditional design, and improves the calculation efficiency and design simplicity.
Patent Information
- Application Number
- CN202411893121.3
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2024-12-20
- Publication Date
- 2025-04-11
AI Technical Summary
During the traditional main cable design process, determining the cross-sectional area of the main cable requires a lot of iterative calculation, which is time-consuming and labor-intensive, and the steps are complicated, making it difficult to efficiently calculate the cross-sectional area of the main cable of the self-anchored suspension cable-cable-stayed cooperative system bridge.
The cross-sectional area of the main cable of the bridge is determined by a self-anchored suspension cable-cable-stayed cooperative system. This formula is derived from the theoretical IP point of the main cable tower top under the action of constant live load after forming a bridge. The horizontal tension on both sides of the main cable without slippage on both sides is equal. It is derived and directly calculates the cross-sectional area of the main cable to avoid iterative calculations.
Improve computing efficiency, reduce computing complexity, simplify the main cable design process, and avoid the tedious iterative steps in traditional methods.
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Figure CN119808481A_ABST
Abstract
Description
Technical Field
[0001] The present invention relates to the technical field of large-span cable-bearing bridge structures, and in particular to a method and system for determining the cross-sectional area of a main cable of a self-anchored suspension-cable-stayed cooperative system bridge. Background Art
[0002] The statements in this section merely provide background information related to the present invention and do not necessarily constitute prior art.
[0003] The self-anchored suspension-cable-stayed bridge is a new type of combined system bridge developed on the basis of the ground-anchored suspension-cable-stayed bridge. Compared with the ground-anchored suspension-cable-stayed bridge, the self-anchored suspension-cable-stayed bridge directly anchors the main cable on the main beam. The main beam directly bears the axial pressure of the main cable and the vertical bending moment generated by the constant live load. The tensile, compressive and bending deformation of the main beam will affect the linear shape of the main cable, further changing the tension of the main cable. The change in the tension of the main cable will affect the stress and deformation of the main beam. Therefore, the main cable stress of the self-anchored suspension-cable-stayed bridge is more complicated than that of the ground-anchored suspension-cable-stayed bridge, which is specifically manifested in the high coupling between the main cable tension of the self-anchored suspension-cable-stayed bridge and the internal force of the main beam.
[0004] The main cable of a self-anchored suspension-cable-stayed bridge is the lifeline of this type of structure and the most core load-bearing component of this type of bridge. During the main cable design process, the main cable cross-sectional area must first be determined based on the main cable tension. However, changes in the main cable cross-sectional area will cause changes in the main cable deadweight load and produce axial compression on the main beam, resulting in further changes in the main cable tension. Changes in the main cable tension in turn affect the value of the main cable cross-sectional area. Therefore, the determination of the main cable cross-sectional area is subject to the dual influence of external loads and main beam stress.
[0005] In the traditional main cable design process, the exhaustive method is generally used to determine the main cable cross-sectional area. The general steps are to first assume a main cable cross-sectional area, use finite element software to iteratively calculate the main cable line shape and the stress of the entire bridge structure, calculate the maximum tension of the main cable, and the ratio of the maximum tension of the main cable to the main cable cross-sectional area is the actual tensile stress of the main cable. The ratio of the allowable tensile stress of the main cable to the actual tensile stress specified in the specification is the main cable safety factor. If the safety factor is less than the value specified in the specification, the main cable cross-sectional area is increased and the finite element software is used again to find the shape and calculate the maximum tension of the main cable, and the main cable safety factor is determined. The main cable cross-sectional area obtained when the main cable safety factor meets the requirements of the specification is the optimal solution for the main cable cross-sectional area. Therefore, the traditional main cable cross-sectional area calculation requires a large number of iterative processes, which is time-consuming and labor-intensive, and the steps are complicated. Summary of the invention
[0006] In order to solve the above problems, the present invention proposes a method and system for determining the cross-sectional area of the main cable of a self-anchored suspension-cable-stayed cooperative system bridge. The cross-sectional area of the main cable of a self-anchored suspension-cable-stayed cooperative system bridge can be calculated and determined without iterative calculation, thereby improving the calculation efficiency and reducing the calculation complexity.
[0007] To achieve the above object, the present invention adopts the following technical solution:
[0008] First, a method for determining the cross-sectional area of the main cable of a self-anchored suspension-cable-stayed bridge system is proposed, including:
[0009] Obtain the main beam cross-sectional area, mid-span length, mid-span main cable rise, pure suspension area length, crossing section length, cable-stayed section length, theoretical IP point height difference of the left and right tower top main cables, main beam equivalent uniformly distributed load concentration acting on the main cables in the crossing section, mid-span uniformly distributed live load concentration, main beam equivalent uniformly distributed load concentration acting on the main cables in the pure suspension area, and uniformly distributed live load action length symmetrically arranged about the mid-span of the self-anchored suspension-cable-stayed cooperative system bridge;
[0010] The cross-sectional area of the main cables of the self-anchored suspension cable-cable-stayed bridge is calculated based on the acquired data and the formula for determining the cross-sectional area of the main cables of the self-anchored suspension cable-cable-stayed bridge. The formula for determining the cross-sectional area of the main cables of the self-anchored suspension cable-cable-stayed bridge is derived based on the equal horizontal tension on both sides of the main cables without slippage at the theoretical IP point on the top of the main cable tower under the action of the constant live load after the bridge is completed.
[0011] Furthermore, the formula for determining the cross-sectional area of the main cable of the self-anchored suspension-cable-stayed system bridge is:
[0012]
[0013] In the formula, A c is the cross-sectional area of the main cable of the self-anchored suspension-cable-stayed bridge system, γ c is the equivalent bulk density of the main cable, A 主梁 is the cross-sectional area of the main beam, [σ 主梁 ] is the allowable stress of the main beam, L is the length of the middle span, f is the height of the main cable in the middle span, L xd is the length of the pure suspension area, L jc is the length of the cross section, L xl is the length of the cable-stayed section, c is the theoretical IP point height difference of the main cables on the left and right tower tops, g is jc is the equivalent uniformly distributed load concentration of the main beam acting on the main cable in the crossing section, g 活 is the uniform live load concentration in the mid-span, g xd is the equivalent uniformly distributed load concentration of the main beam acting on the main cable in the pure suspension area, and S is the length of the uniformly distributed live load arranged symmetrically about the mid-span.
[0014] Furthermore, when the theoretical IP point on the top of the main cable tower is under the action of the constant live load after the bridge is completed, the main cables on both sides of the side main span have no slip and the horizontal tension on both sides is equal, which means that the horizontal tension of the main cable section of the side span is equal to the horizontal tension of the main cable section of the middle span.
[0015] Furthermore, the horizontal tension of the side span main cable section is equal to the cross-sectional area of the main beam multiplied by the allowable stress of the main beam.
[0016] Furthermore, the horizontal tension of the middle span main cable section is equal to the sum of the horizontal tension generated by the load concentration of the middle span main cable itself under constant load, the horizontal tension increment of the middle span main cable under pure suspension section load, the horizontal tension increment of the middle span main cable under pure crossing section load and the horizontal tension increment of the middle span main cable under uniformly distributed live load arranged symmetrically about the mid-span.
[0017] Furthermore, the horizontal tension generated by the load concentration of the mid-span main cable itself under constant load is calculated using the parabola theory;
[0018] The horizontal tension increment of the mid-span main cable under the action of pure suspension section load, the horizontal tension increment of the mid-span main cable under the action of pure crossing section load and the horizontal tension increment of the mid-span main cable under the action of uniformly distributed live load arranged symmetrically about the mid-span are all obtained based on the moment balance calculation at the IP point of the main cable on the tower top.
[0019] Secondly, a main cable cross-sectional area determination system for a self-anchored suspension-cable-stayed cooperative bridge is proposed, including:
[0020] A data acquisition unit is used to obtain the main beam cross-sectional area, mid-span length, mid-span main cable rise, pure suspension area length, crossing section length, cable-stayed section length, height difference of theoretical IP points of main cables on the left and right tower tops, main beam equivalent uniformly distributed load concentration acting on the main cable in the crossing section, mid-span uniformly distributed live load concentration, main beam equivalent uniformly distributed load concentration acting on the main cable in the pure suspension area, and uniformly distributed live load action length symmetrically arranged about the mid-span of a self-anchored suspension-cable-stayed cooperative system bridge;
[0021] The main cable cross-sectional area determination unit is used to calculate the main cable cross-sectional area of the self-anchored suspension cable-cable-stayed cooperative system bridge based on the acquired data and the main cable cross-sectional area determination formula of the self-anchored suspension cable-cable-stayed cooperative system bridge, wherein the main cable cross-sectional area determination formula of the self-anchored suspension cable-cable-stayed cooperative system bridge is derived based on the fact that the horizontal tension on both sides of the main cables on both sides of the main span are equal without slippage at the theoretical IP point on the top of the main cable tower under the action of the constant live load after the bridge is completed.
[0022] In a third aspect, a computer device is provided, the device comprising:
[0023] a processor adapted to execute a computer program;
[0024] A computer-readable storage medium having a computer program stored therein, wherein the computer program, when executed by the processor, implements the method for determining the cross-sectional area of the main cable of the self-anchored suspension-cable-stayed cooperative system bridge proposed in the first aspect.
[0025] In a fourth aspect, a computer-readable storage medium is proposed, wherein the computer-readable storage medium stores a computer program, and the computer program is suitable for being loaded by a processor and executing the method for determining the cross-sectional area of the main cable of the self-anchored suspension-cable-stayed cooperative system bridge proposed in the first aspect.
[0026] In a fifth aspect, a computer program product is proposed, which includes a computer program. When the computer program is executed by a processor, it implements the method for determining the cross-sectional area of the main cable of the self-anchored suspension-cable-stayed cooperative system bridge proposed in the first aspect.
[0027] Compared with the prior art, the present invention has the following beneficial effects:
[0028] The present invention proposes a method and system for determining the cross-sectional area of the main cable of a self-anchored suspension cable-cable-stayed cooperative system bridge. The method derives a formula for determining the cross-sectional area of the main cable of a self-anchored suspension cable-cable-stayed cooperative system bridge based on the fact that the horizontal tension on both sides of the main cables on both sides of the main span are equal without slippage under the action of a constant live load at the theoretical IP point on the top of the main cable tower after the bridge is completed. Afterwards, the formula for determining the cross-sectional area of the main cable of the self-anchored suspension cable-cable-stayed cooperative system bridge can be used to directly calculate the cross-sectional area of the main cable of the self-anchored suspension cable-cable-stayed cooperative system bridge without iterative calculation, thereby improving the calculation efficiency, reducing the calculation complexity, and solving the problems of complex calculation and large iterative workload caused by the finite element exhaustive method in traditional calculation methods.
[0029] Advantages of additional aspects of the present invention will be given in part in the following description, and in part will become obvious from the following description, or will be learned through practice of the present invention. BRIEF DESCRIPTION OF THE DRAWINGS
[0030] The drawings in the specification, which constitute a part of the present application, are used to provide further understanding of the present application. The illustrative embodiments of the present application and their descriptions are used to explain the present application and do not constitute improper limitations on the present application.
[0031] Figure 1 A flow chart of a method for determining the cross-sectional area of a main cable of a self-anchored suspension-cable-stayed cooperative system bridge disclosed in an embodiment;
[0032] Figure 2 A schematic diagram of the structure of a self-anchored cable-stayed cooperative system bridge disclosed in an embodiment;
[0033] Figure 3 for Figure 2 Schematic diagram of the main beam section at the anchorage of the middle main cable;
[0034] Figure 4 It is a force analysis diagram for calculating the cross-sectional area of the main cable disclosed in the embodiment;
[0035] Figure 5 It is a diagram of the calculation at the IP point on the top of the main tower disclosed in the embodiment;
[0036] Figure 6 It is a diagrammatic representation of the calculation at the main cable anchor point disclosed in the embodiment.
[0037] Among them: 1. Main beam, 2. Main cable, 3. Main tower, 4. Hanger, 5. Stay cable. DETAILED DESCRIPTION
[0038] The present invention will be further described below in conjunction with the accompanying drawings and embodiments.
[0039] It should be noted that the following detailed descriptions are illustrative and are intended to provide further explanation of the present application. Unless otherwise specified, all technical and scientific terms used herein have the same meanings as those commonly understood by those skilled in the art to which the present application belongs.
[0040] It should be noted that the terms used herein are only for describing specific embodiments and are not intended to limit the exemplary embodiments according to the present application. As used herein, unless the context clearly indicates otherwise, the singular form is also intended to include the plural form. In addition, it should be understood that when the terms "comprise" and / or "include" are used in this specification, it indicates the presence of features, steps, operations, devices, components and / or combinations thereof.
[0041] Example 1
[0042] The self-anchored suspension-cable-stayed cooperative system bridge is a new type of composite bridge composed of a self-anchored suspension bridge and a cable-stayed bridge. It has the advantages of high rigidity of a cable-stayed bridge and strong spanning capacity of a suspension bridge, and is increasingly used in the field of large-span bridges. The constant live load borne by this type of bridge is mainly transmitted from the main beam 1 to the main cable 2 via the hanger 4, and then to the main tower 3, or directly from the main beam 1 to the main tower 3 via the cable 5, and finally to the foundation via the main tower 3.
[0043] In order to realize the rapid calculation of the cross-sectional area of the main cable of the self-anchored suspension cable-cable-stayed cooperative system bridge, in this embodiment, a method for determining the cross-sectional area of the main cable of the self-anchored suspension cable-cable-stayed cooperative system bridge is disclosed, such as Figure 1-Figure 6 As shown, including:
[0044] Obtain the main beam cross-sectional area, mid-span length, mid-span main cable rise, pure suspension area length, crossing section length, cable-stayed section length, theoretical IP point height difference of the left and right tower top main cables, main beam equivalent uniformly distributed load concentration acting on the main cables in the crossing section, mid-span uniformly distributed live load concentration, main beam equivalent uniformly distributed load concentration acting on the main cables in the pure suspension area, and uniformly distributed live load action length symmetrically arranged about the mid-span of the self-anchored suspension-cable-stayed cooperative system bridge;
[0045] The cross-sectional area of the main cables of the self-anchored suspension cable-cable-stayed bridge is calculated based on the acquired data and the formula for determining the cross-sectional area of the main cables of the self-anchored suspension cable-cable-stayed bridge. The formula for determining the cross-sectional area of the main cables of the self-anchored suspension cable-cable-stayed bridge is derived based on the equal horizontal tension on both sides of the main cables without slippage at the theoretical IP point on the top of the main cable tower under the action of the constant live load after the bridge is completed.
[0046] The formula for determining the cross-sectional area of the main cable of the self-anchored suspension-cable-stayed system bridge proposed in this embodiment is:
[0047]
[0048] In the formula, A c is the cross-sectional area of the main cable of the self-anchored suspension-cable-stayed bridge system, γ c is the equivalent bulk density of the main cable, A 主梁 is the cross-sectional area of the main beam, [σ 主梁 ] is the allowable stress of the main beam, L is the length of the middle span, f is the height of the main cable in the middle span, L xd is the length of the pure suspension area, L jc is the length of the cross section, L xl is the length of the cable-stayed section, c is the theoretical IP point height difference of the main cables on the left and right tower tops, g is jc is the equivalent uniformly distributed load concentration of the main beam acting on the main cable in the crossing section, g 活 is the uniform live load concentration in the mid-span, g xd is the equivalent uniformly distributed load concentration of the main beam acting on the main cable in the pure suspension area, and S is the length of the uniformly distributed live load arranged symmetrically about the mid-span.
[0049] The derivation process of the formula for determining the cross-sectional area of the main cable of the proposed self-anchored suspension-cable-stayed system bridge is explained in detail.
[0050] The derivation process of the formula for determining the cross-sectional area of the main cable of the self-anchored suspension-cable-stayed system bridge includes:
[0051] According to the number of driving lanes and the clear distance between the guardrail and the lane in the specification, the main beam section is formulated and the main beam cross-sectional area A is determined. 主梁 ;
[0052] According to the characteristics of the main cable of the suspension-cable-stayed bridge under constant live load, the horizontal tension of the main cable section in the middle span is calculated by using the traditional parabola theory of main cable line shape calculation.
[0053] The horizontal tension of the main cable section of the side span is determined by using the static equilibrium equation of structural mechanics for the main cable and main beam at the main cable anchor point of the side span;
[0054] According to the theoretical IP point on the top of the main cable tower, under the action of constant live load after the bridge is completed, the main cables on both sides of the main span have no slip and the horizontal tension on both sides is equal, and the formula for determining the cross-sectional area of the main cable of the self-anchored suspension-cable-stayed system bridge is derived.
[0055] According to the characteristics of the main cable of the cable-stayed bridge under constant live load, the main cable line shape is a catenary line, and the traditional parabola theory for main cable line shape calculation is used to calculate the horizontal tension of the mid-span main cable segment. The process includes:
[0056] Use a straight line to connect the theoretical IP points of the main cables on the top of the two main towers on the left and right sides. The lateral spacing between the IP points is the lateral spacing of the main saddles on the top of the main towers. Take the center of the line connecting the IP points of the main cables on the two towers as the origin O to establish a three-dimensional coordinate system xyz, where the x direction is along the bridge, the y direction is vertical, and the z direction is transverse to the bridge.
[0057] The horizontal tension H1 generated by the load concentration of the middle span main cable under constant load is calculated using the parabola theory. The calculation formula for the horizontal tension generated by the load concentration of the middle span main cable under constant load is:
[0058]
[0059] In the formula, g c The load concentration caused by the main cable's own weight.
[0060] The horizontal tension increment of the mid-span main cable under the pure suspension section load, the horizontal tension increment of the mid-span main cable under the pure cross section load and the horizontal tension increment of the mid-span main cable under the uniformly distributed live load arranged symmetrically about the mid-span are all calculated based on the moment balance at the IP point of the tower top main cable. Specifically:
[0061] It is assumed that the main cable is cut off in the middle of the mid-span, and the main cable is divided into two parts, the right part of which is taken as the isolator. Under the action of the pure suspension section load, the moment equilibrium equation is listed for the IP point of the main cable on the right tower top, and the horizontal tension increment H2 of the mid-span main cable under the action of the pure suspension section load is obtained. The calculation formula of the horizontal tension increment H2 of the mid-span main cable under the action of the pure suspension section load is:
[0062]
[0063] In the formula, g xd is the equivalent uniformly distributed load concentration of the main beam acting on the main cable in the pure suspension area, L is the mid-span length, L xd is the length of the pure suspension area, f is the rise of the mid-span main cable, and c is the height difference between the theoretical IP points of the left and right tower tops.
[0064] Under the action of pure cross-section load, the moment balance equation is listed for the IP point of the main cable on the right tower top to obtain the horizontal tension increment of the mid-span main cable under the action of pure cross-section load. The calculation formula H3 for the horizontal tension increment of the mid-span main cable under the action of pure cross-section load is:
[0065]
[0066] In the formula, g jc is the equivalent uniformly distributed load concentration of the main beam acting on the main cable in the crossing section, L jc is the length of the cross section, L xl is the length of the inclined section.
[0067] Under the action of uniform live load with symmetrical arrangement at the mid-span, the moment equilibrium equation is listed for the IP point of the main cable on the right tower top, and the horizontal tension increment H of the main cable in the mid-span under the action of uniform live load with symmetrical arrangement at the mid-span is obtained. 活 , about the horizontal tension increment H of the main cable in the middle span under the action of uniform live load arranged symmetrically in the middle span 活 The calculation formula is:
[0068]
[0069] In the formula, g 活 is the concentration of uniform live load in the mid-span, and S is the acting length of the uniform live load arranged symmetrically about the mid-span.
[0070] Based on the horizontal tension of the main cable in the middle span under the action of the above-mentioned constant live load alone, the horizontal tension H of the main cable section in the middle span under the action of the constant live load is calculated. 中跨 , horizontal tension H of the middle span main cable section 中跨 It is equal to the sum of the horizontal tension generated by the load concentration of the middle span main cable itself under constant load, the horizontal tension increment of the middle span main cable under pure suspension section load, the horizontal tension increment of the middle span main cable under pure cross section load and the horizontal tension increment of the middle span main cable under uniformly distributed live load arranged symmetrically about the mid-span.
[0071]
[0072] The horizontal tension of the main cable section of the side span is determined by using the static equilibrium equation of structural mechanics for the main cable and main beam at the main cable anchor point of the side span. Specifically, the horizontal tension of the main cable section of the side span is equal to the cross-sectional area of the main beam multiplied by the allowable stress of the main beam.
[0073] H 边 =A 主梁 [σ 主梁 ] (2)
[0074] In the formula, H 边 A is the horizontal tension of the side span main cable segment, 主梁 is the cross-sectional area of the main beam, [σ 主梁 ] is the allowable stress of the main beam.
[0075] According to the theoretical IP point on the top of the main cable tower, the horizontal tension on both sides of the main cable on both sides of the main span is equal under the action of the constant live load after the bridge is completed, and the process of deriving the formula for determining the cross-sectional area of the main cable of the self-anchored suspension-cable-stayed system bridge is as follows:
[0076] According to the static balance at the theoretical IP point on the top of the main cable tower, the horizontal tension H of the side span main cable segment is constructed. 边 The static equilibrium equation is: Among them, T1 is the maximum tension of the main cable at the top of the side span tower, It is the angle between the main cable tangent of the side span main cable at the tower top and the x-axis.
[0077] The static equilibrium equation for the horizontal tension of the mid-span main cable segment is: 中跨 =T2·cosθ, where T2 is the maximum tension of the main cable at the top of the mid-span tower, and θ is the angle between the tangent of the main cable at the top of the tower and the x-axis.
[0078] The theoretical IP point on the top of the main cable tower is equal to the horizontal tension of the main cable section in the side span under the action of the constant live load after the bridge is completed. The main cables on both sides of the side span have no slip and the horizontal tension on both sides is equal to the horizontal tension of the main cable section in the middle span, that is:
[0079] H 边 =H 中跨 (3)
[0080] According to formula (1), formula (2), formula (3) and g c =A c γ c , the formula for determining the cross-sectional area of the main cable of the self-anchored suspension-cable-stayed system bridge is derived, which is:
[0081]
[0082] In particular, when the vertical elevations of the IP points on the left and right towers of the bridge are equal, that is, when the theoretical IP point height difference of the main cables on the left and right towers is 0, the formula for determining the cross-sectional area of the main cable of the self-anchored suspension-cable-stayed system bridge is transformed into:
[0083]
[0084] L = 600m, c = 0, γ c =78.5kN / m 3 , f = 75m, [σ 主梁 ]=300MPa,g xd =90kN / m, L xd =300m,g jc =46.65kN / m, L jc =30m,g 活 =52.5kN / m, S=360m, A 主梁=2.75004m 2 , L xl =120m as an example, the method provided in this embodiment is verified, and the main cable cross-sectional area determination formula of the self-anchored suspension cable-cable-stayed cooperative system bridge provided in this embodiment is used to calculate A c =0.10344m 2 According to the traditional calculation method, the area calculated by iterative calculation based on the finite element software after multiple modifications of the main cable cross-sectional area is A. c =0.09851m 2 It can be seen that the cross-sectional area of the main cable calculated using the formula provided in this embodiment is 5% larger than the value obtained by the exhaustive iterative finite element method, which shows that the formula proposed in this embodiment is more conservative, safer, and has higher calculation accuracy.
[0085] The method for determining the cross-sectional area of the main cable of a self-anchored suspension-cable-stayed cooperative system bridge disclosed in this embodiment can accurately solve the cross-sectional area of the main cable without solving the maximum tension of the main cable, avoiding the tediousness and complexity of the solution process of the finite element iteration method. The calculation is convenient and fast, saving time and effort, improving calculation efficiency, and greatly simplifying the workload of main cable design.
[0086] Example 2
[0087] In this embodiment, a system for determining the cross-sectional area of a main cable of a self-anchored suspension-cable-stayed cooperative system bridge is disclosed, comprising:
[0088] A data acquisition unit is used to obtain the main beam cross-sectional area, mid-span length, mid-span main cable rise, pure suspension area length, crossing section length, cable-stayed section length, height difference of theoretical IP points of main cables on the left and right tower tops, main beam equivalent uniformly distributed load concentration acting on the main cable in the crossing section, mid-span uniformly distributed live load concentration, main beam equivalent uniformly distributed load concentration acting on the main cable in the pure suspension area, and uniformly distributed live load action length symmetrically arranged about the mid-span of a self-anchored suspension-cable-stayed cooperative system bridge;
[0089] The main cable cross-sectional area determination unit is used to calculate the main cable cross-sectional area of the self-anchored suspension cable-cable-stayed cooperative system bridge based on the acquired data and the main cable cross-sectional area determination formula of the self-anchored suspension cable-cable-stayed cooperative system bridge, wherein the main cable cross-sectional area determination formula of the self-anchored suspension cable-cable-stayed cooperative system bridge is derived based on the fact that the horizontal tension on both sides of the main cables on both sides of the main span are equal without slippage at the theoretical IP point on the top of the main cable tower under the action of the constant live load after the bridge is completed.
[0090] The present invention also discloses a computer device, which includes:
[0091] a processor adapted to execute a computer program;
[0092] A computer-readable storage medium having a computer program stored therein, wherein the computer program, when executed by the processor, implements the method for determining the cross-sectional area of the main cable of the self-anchored suspension-cable-stayed cooperative system bridge disclosed in Example 1.
[0093] The present invention also discloses a computer-readable storage medium storing a computer program, which is suitable for being loaded by a processor and executing the method for determining the cross-sectional area of the main cable of a self-anchored suspension-cable-stayed cooperative system bridge disclosed in Example 1.
[0094] The present invention also discloses a computer program product, which includes a computer program. When the computer program is executed by a processor, it implements the method for determining the cross-sectional area of the main cable of the self-anchored suspension-cable-stayed cooperative system bridge disclosed in Example 1.
[0095] The method disclosed in Example 1 can be directly embodied as a hardware processor, or can be executed by a combination of hardware and software modules in the processor. The software module can be located in a mature storage medium in the field such as a random access memory, a flash memory, a read-only memory, a programmable read-only memory, or an electrically erasable programmable memory, a register, etc. The storage medium is located in the memory, and the processor reads the information in the memory and completes the steps of the above method in combination with its hardware. To avoid repetition, it will not be described in detail here.
[0096] Those of ordinary skill in the art will appreciate that the units and algorithm steps of each example described in conjunction with this embodiment can be implemented in electronic hardware or a combination of computer software and electronic hardware. Whether these functions are performed in hardware or software depends on the specific application and design constraints of the technical solution. Professional and technical personnel can use different methods to implement the described functions for each specific application, but such implementation should not be considered to be beyond the scope of this application.
[0097] Although the above describes the specific implementation mode of the present invention in conjunction with the accompanying drawings, it is not intended to limit the scope of protection of the present invention. Those skilled in the art should understand that various modifications or variations that can be made by those skilled in the art on the basis of the technical solution of the present invention without creative work are still within the scope of protection of the present invention.
Claims
1. A method for determining the cross-sectional area of a main cable of a self-anchored suspension-cable-stayed bridge system, characterized in that: include: Obtain the main beam cross-sectional area, mid-span length, mid-span main cable rise, pure suspension area length, crossing section length, cable-stayed section length, theoretical IP point height difference of the left and right tower top main cables, main beam equivalent uniformly distributed load concentration acting on the main cables in the crossing section, mid-span uniformly distributed live load concentration, main beam equivalent uniformly distributed load concentration acting on the main cables in the pure suspension area, and uniformly distributed live load action length symmetrically arranged about the mid-span of the self-anchored suspension-cable-stayed cooperative system bridge; The cross-sectional area of the main cables of the self-anchored suspension cable-cable-stayed bridge is calculated based on the acquired data and the formula for determining the cross-sectional area of the main cables of the self-anchored suspension cable-cable-stayed bridge. The formula for determining the cross-sectional area of the main cables of the self-anchored suspension cable-cable-stayed bridge is derived based on the equal horizontal tension on both sides of the main cables without slippage at the theoretical IP point on the top of the main cable tower under the action of the constant live load after the bridge is completed.
2. The method for determining the cross-sectional area of the main cable of the self-anchored suspension-cable-stayed cooperative system bridge according to claim 1, characterized in that: The formula for determining the cross-sectional area of the main cable of the self-anchored suspension-cable-stayed system bridge is: In the formula, A c is the cross-sectional area of the main cable of the self-anchored suspension-cable-stayed bridge system, γ c is the equivalent bulk density of the main cable, A 主梁 is the cross-sectional area of the main beam, [σ 主梁 ] is the allowable stress of the main beam, L is the length of the middle span, f is the height of the main cable in the middle span, L xd is the length of the pure suspension area, L jc is the length of the cross section, L xl is the length of the cable-stayed section, c is the theoretical IP point height difference of the main cables on the left and right tower tops, g is jc is the equivalent uniformly distributed load concentration of the main beam acting on the main cable in the crossing section, g 活 is the uniform live load concentration in the mid-span, g xd is the equivalent uniformly distributed load concentration of the main beam acting on the main cable in the pure suspension area, and S is the length of the uniformly distributed live load arranged symmetrically about the mid-span.
3. The method for determining the cross-sectional area of the main cable of the self-anchored suspension-cable-stayed cooperative system bridge according to claim 1, characterized in that: The theoretical IP point on the top of the main cable tower has no slippage under the action of constant live load after the bridge is completed. The equal horizontal tension on both sides of the main cables on both sides of the side main span means that the horizontal tension of the main cable section in the side span is equal to the horizontal tension of the main cable section in the middle span.
4. The method for determining the cross-sectional area of the main cable of the self-anchored suspension-cable-stayed cooperative system bridge according to claim 3, characterized in that: The horizontal tension of the side span main cable section is equal to the cross-sectional area of the main beam multiplied by the allowable stress of the main beam.
5. The method for determining the cross-sectional area of the main cable of the self-anchored suspension-cable-stayed system bridge according to claim 3, characterized in that: The horizontal tension of the middle span main cable section is equal to the sum of the horizontal tension generated by the load concentration of the middle span main cable itself under constant load, the horizontal tension increment of the middle span main cable under the action of pure suspension section load, the horizontal tension increment of the middle span main cable under the action of pure cross section load and the horizontal tension increment of the middle span main cable under the action of uniformly distributed live load arranged symmetrically about the mid-span.
6. The method for determining the cross-sectional area of the main cable of the self-anchored suspension-cable-stayed system bridge according to claim 3, characterized in that: The horizontal tension generated by the load concentration of the mid-span main cable under constant load is calculated using the parabola theory; The horizontal tension increment of the mid-span main cable under the action of pure suspension section load, the horizontal tension increment of the mid-span main cable under the action of pure crossing section load and the horizontal tension increment of the mid-span main cable under the action of uniformly distributed live load arranged symmetrically about the mid-span are all obtained based on the moment balance calculation at the IP point of the main cable on the tower top.
7. A system for determining the cross-sectional area of a main cable of a self-anchored suspension-cable-stayed cooperative bridge, characterized in that: include: A data acquisition unit is used to obtain the main beam cross-sectional area, mid-span length, mid-span main cable rise, pure suspension area length, crossing section length, cable-stayed section length, height difference of theoretical IP points of main cables on the left and right tower tops, main beam equivalent uniformly distributed load concentration acting on the main cable in the crossing section, mid-span uniformly distributed live load concentration, main beam equivalent uniformly distributed load concentration acting on the main cable in the pure suspension area, and uniformly distributed live load action length symmetrically arranged about the mid-span of a self-anchored suspension-cable-stayed cooperative system bridge; The main cable cross-sectional area determination unit is used to calculate the main cable cross-sectional area of the self-anchored suspension cable-cable-stayed cooperative system bridge based on the acquired data and the main cable cross-sectional area determination formula of the self-anchored suspension cable-cable-stayed cooperative system bridge, wherein the main cable cross-sectional area determination formula of the self-anchored suspension cable-cable-stayed cooperative system bridge is derived based on the fact that the horizontal tension on both sides of the main cables on both sides of the main span are equal without slippage at the theoretical IP point on the top of the main cable tower under the action of the constant live load after the bridge is completed.
8. An electronic device, characterized in that: The device comprises: a processor adapted to execute a computer program; A computer-readable storage medium having a computer program stored therein, wherein the computer program, when executed by the processor, implements the method for determining the cross-sectional area of the main cable of a self-anchored suspension-cable-stayed cooperative system bridge as described in any one of claims 1 to 6.
9. A computer-readable storage medium, characterized in that: The computer-readable storage medium stores a computer program, and the computer program is suitable for being loaded by a processor and executing the method for determining the cross-sectional area of the main cable of a self-anchored suspension-cable-stayed cooperative system bridge as described in any one of claims 1-6.
10. A computer program product, characterized in that The computer program product includes a computer program, and when the computer program is executed by a processor, it implements the method for determining the cross-sectional area of the main cable of the self-anchored suspension-cable-stayed cooperative system bridge as described in any one of claims 1 to 6.