Power station traffic deck type arch bridge arch axis shape optimization method and system

Abstract

The invention discloses a power station traffic deck type arch bridge arch axis shape optimization method and system, and solves the problems that the arch axis shape of an existing deck type arch bridge is not reasonable enough, large deviation can be generated under the heavy traffic effect, an arch foot generates too large bending moment, and the material performance cannot be fully utilized. The optimal arch axis shape is obtained, it is guaranteed that the adopted arch axis shape can make full use of materials, and better safety storage and economic benefits are achieved.

Description

Technical Field

[0001] The present invention relates to the field of civil engineering bridges, and particularly to an optimization method and system for the arch axis shape of a superstructure arch bridge for power station traffic. Background Art

[0002] In modern arch bridge design, the determination of the arch axis is one of the most important tasks. The shape of the arch axis directly affects the internal force distribution in the main arch, and has an important impact on the construction safety, structural durability, and economic rationality of the arch bridge.

[0003] A reasonable arch axis refers to an arch axis that coincides with the arch ring pressure line under various loads on the arch. When an arch bridge adopts such an arch axis, there will only be axial pressure on the main arch section without the action of bending moment and shear force, and the compressive performance of the material can be fully utilized. However, in the actual operation state of the bridge, it is not only affected by the dead load, but also by factors such as vehicle load, temperature change, and material shrinkage. Therefore, even if an arch axis that coincides with the dead load is adopted, the action of these variable loads will cause a deviation between the actual pressure line of the arch bridge and the reasonable arch axis, thereby generating bending moment and shear force in the main arch section and affecting the bearing capacity of the main arch.

[0004] Currently, the commonly used arch axis lines in arch bridge design include circular arcs, parabolas, catenary cables, and catenaries, etc. The circular arc is the reasonable arch axis of equal-depth water pressure, so it can only be applied to small-span arch bridges; the parabola is the pressure line of the arch structure under the action of horizontally uniformly distributed pressure, so it can be used as an arch bridge with a dead load distribution close to horizontal uniform; the catenary is the pressure line of the self-weight of the filling material of a solid-web arch bridge and is widely used in solid-web arch bridges; the shape of the catenary will change with the change of the arch axis coefficient, that is, the catenary is actually a family of curves, and this characteristic makes the catenary more adaptable than the above several line shapes.

[0005] However, these several line shapes mentioned above often aim at the reasonable arch axis shape under the action of dead load and cannot meet the deviation between the arch axis and the pressure line caused by the change of the pressure line under live load. The characteristics of heavy power station traffic are small traffic volume but extremely large single vehicle weight, which leads to a large deviation between the actual pressure line of the bridge and the reasonable arch axis under the action of vehicle load. These deviations will have a non-negligible effect on the arch bridge structure and may even affect the design effect. Therefore, it is obviously unreasonable to still adopt these traditional arch axis lines in the design of arch bridges under heavy traffic, and it is necessary to adjust the arch axis line shape specifically to obtain the optimal arch axis shape to ensure that the adopted arch axis shape can make full use of the material and has better safety reserves and economic benefits. Summary of the Invention

[0006] The technical problem to be solved by the present invention is to provide an optimization method and system for the arch axis shape of a power station traffic deck arch bridge, aiming at the deficiencies of the existing technology, so as to obtain the most reasonable arch axis shape that can make full use of the material performance under heavy traffic.

[0007] To solve the above technical problem, the technical solution adopted by the present invention is: an optimization method for the arch axis shape of a power station traffic deck arch bridge, which includes the following steps:

[0008] Determine the reasonable arch axis shape of the main arch under the action of dead load, and use this reasonable arch axis shape as the reference shape for arch axis shape adjustment;

[0009] Calculate the deflections of the main arch when the equivalent forces of heavy-duty vehicles act on different column coordinates in sequence, and use the deflection curve as the reference combined vertical curve;

[0010] Superimpose the reference combined vertical curve on the reference shape according to a ratio, calculate the arch foot bending moment values of the arch axis shape under the action of dead load and live load, and thus establish an influence matrix function between the linear proportion of the reference combined vertical curve and the arch foot bending moment;

[0011] Calculate the linear proportion parameter when the arch foot bending moment is minimized, and superimpose and combine the reference combined vertical curve according to the proportion parameter to obtain the vertical curve coordinate adjustment value at the column;

[0012] Taking the coordinates and included angles of the arch crown and arch feet as constraint conditions, fit the coordinate adjustment values of each node of the column, so as to obtain the interpolation curve of the coordinate adjustment values of the whole bridge, and superimpose this curve on the reference arch axis shape to obtain the reasonable arch axis under heavy traffic.

[0013] In the present invention, the expression of the influence matrix function is: [k1 k2...k n [S]=M; where, [S] is the influence matrix, [S]=[s1 s2...s n T , s i is the i-th row element I of the influence matrix, k i is the proportionality coefficient, i = 1~n, M is the arch axis bending moment effect, and n is the total number of rows of the influence matrix.

[0014] In the present invention, cubic spline curves are used to fit the coordinate adjustment values of each node of the column.

[0015] As an inventive concept, the present invention also provides an optimization system for the arch axis shape of a power station traffic deck arch bridge, which includes:

[0016] A reference linear determination unit, which is used to determine the reasonable arch axis shape of the main arch under the action of dead load, and use this reasonable arch axis shape as the reference shape for arch axis shape adjustment;

[0017] ​The first calculation unit is used to sequentially calculate the main arch deflections when the equivalent force of the overloaded vehicle acts on different column coordinates, and use the deflection curve as the reference combined vertical curve;

[0018] The influence matrix determination unit is used to superimpose the reference combined vertical curve on the reference alignment according to a ratio, calculate the arch foot bending moment values under the action of dead load and live load of the arch axis alignment, so as to establish an influence matrix function between the reference combined vertical curve alignment ratio and the arch foot bending moment;

[0019] The second calculation unit is used to calculate the alignment ratio parameter when the arch foot bending moment is minimized, and superimpose and combine the reference combined vertical curve according to the ratio parameter to obtain the vertical curve coordinate adjustment value at the column;

[0020] The fitting unit is used to fit the coordinate adjustment values of each node of the column with the coordinates and included angles of the arch crown and arch foot as constraint conditions, so as to obtain an interpolation curve of the coordinate adjustment values of the whole bridge, and superimpose this curve on the reference arch axis alignment to obtain a reasonable arch axis under heavy traffic.

[0021] The fitting unit uses a cubic spline curve to fit the coordinate adjustment values of each node of the column.

[0022] As an inventive concept, the present invention also provides a terminal device, including a memory, a processor, and a computer program stored on the memory; the processor executes the computer program to implement the steps of the above method.

[0023] Compared with the prior art, the beneficial effects of the present invention are as follows: the present invention solves the problem that the arch axis alignment of the existing deck arch bridge is not reasonable enough, and will deviate greatly under the action of heavy traffic, resulting in too large bending moment at the arch foot and unable to make full use of the material performance. By specifically adjusting the arch axis alignment, the optimal arch axis alignment is obtained, ensuring that the adopted arch axis alignment can make full use of the material and has better safety reserve and economic benefits. BRIEF DESCRIPTION OF THE DRAWINGS

[0024] Figure 1 It is a schematic diagram of the structure of a deck arch bridge according to an embodiment of the present invention.

[0025] Figure 2 It is a reference combined curve diagram according to an embodiment of the present invention.

[0026] Figure 3 It is an arch axis vertical curve adjustment curve diagram according to an embodiment of the present invention.

[0027] Figure 4 It is an adjusted arch axis diagram according to an embodiment of the present invention.

[0028] Figure 5 It is an arch ring bending moment diagram before adjustment according to an embodiment of the present invention.

[0029] Figure 6 For a new arch axis shape of an embodiment of the present invention under the action of dead load and live load. Detailed implementation manners

[0030] To make the objectives, technical solutions and advantages of the embodiments of the present invention clearer, the following will clearly and completely describe the technical solutions in the embodiments of the present invention with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are some, but not all, of the embodiments of the present invention. All other embodiments obtained by those of ordinary skill in the art based on the embodiments of the present invention without creative efforts shall fall within the protection scope of the present invention.

[0031] Embodiment 1

[0032] This embodiment provides an optimization technology for the arch axis shape of a heavy-duty traffic deck arch bridge. Taking the arch foot moment as the optimization objective, an arch bridge model including the action of live load is established. The action of heavy-duty vehicles on the bridge is simplified to each column respectively. The main arch deflection at this time is taken as the reference combined vertical curve. According to a certain proportional parameter, such multiple vertical curves are superimposed on the reference arch axis, and the arch foot moment value under this arch axis shape is calculated, so as to establish an influence matrix function between the linear proportional parameter and the arch foot moment. Solve the linear proportional parameter when the arch foot moment is minimized, and superimpose the reference combined vertical curve according to this ratio to obtain the vertical curve coordinate adjustment value at the column. Use a high-order curve to fit the adjusted vertical curve coordinates of the column nodes, so as to obtain the arch axis shape adjustment value of the whole bridge.

[0033] An optimization method for the arch axis shape of a power station traffic deck arch bridge, and its steps are as follows:

[0034] 1) Determine the reasonable arch axis shape of the main arch under the action of dead load, and use it as the reference shape for arch axis shape adjustment;

[0035] 2) Calculate the main arch deflections when the equivalent forces of heavy-duty vehicles act on different column coordinates in sequence, and use these deflection curves as the reference combined vertical curves;

[0036] 3) Superimpose these vertical curves on the reference shape according to a certain ratio, and calculate the arch foot moment values of the obtained arch axis shape under the action of dead load and live load, so as to establish an influence matrix function between the linear ratio of the reference combined vertical curve and the arch foot moment;

[0037] 4) Solve the linear proportional parameter when the arch foot moment is minimized, and superimpose the reference combined vertical curve according to this proportional parameter to obtain the vertical curve coordinate adjustment value at the column;

[0038] 4) Taking the coordinates and angles of the arch crown and arch foot as constraints, a high-order curve is used to fit the coordinate adjustment values ​​of each node of the column, so as to obtain the coordinate adjustment value interpolation curve of the whole bridge. This curve is superimposed on the reference arch axis shape to obtain the reasonable arch axis under heavy traffic.

[0039] As attached Figure 1 In the hollow-web top-supported arch bridge, the vehicle load is transferred to the arch axis through the columns, and the columns on the arch are numbered in sequence from 1 to N.

[0040] As attached Figure 2 In the above, the action of the heavy-loaded vehicle on the arch is simplified to the concentrated force F acting on the column on the arch, thus obtaining a set of reference combined vertical curves [△y1△y2...△y n ].

[0041] Calculate △y in sequence i (i=1:n) When superimposed on the reference line shape, the arch foot bending moment value M of the main arch under the action of dead load and live load i (M1~M n ), thus obtaining a set of equations:

[0042]

[0043] First, let k i (i=1:n) are all 1, and the influence matrix S is obtained. i is an unknown variable. Solving the above equation, we can obtain the influence matrix between the proportional coefficient and the arch foot bending moment as [S] = [s1 s2...s n ] T , thus the influence matrix function between the proportional coefficient and the arch foot bending moment is obtained as follows:

[0044] [k1 k2...k n ][S]=M

[0045] By using the iterative calculation method, with the smoothness of the curve and the rationality of the vertical curve coordinates at the column nodes as constraints, a set of [k1 k2...k n ] is the optimal linear ratio parameter.

[0046] As attached Figure 3 In the process, the reference combined vertical curve is divided into [k1 k2...k n ] proportion combination, the vertical curve coordinate adjustment value at the column node is obtained. With the arch foot, arch top coordinates and angle as constraints, the vertical curve coordinates of the column are fitted with a cubic curve. The curve equation is shown in the following formula, thereby obtaining the vertical curve adjustment value of the whole bridge.

[0047]

[0048] As shown in the appendix Figure 4 In it, the full-bridge vertical curve adjustment value is superimposed on the reference arch axis shape to obtain the adjusted arch axis shape.

[0049] As shown in the appendix Figure 5 and the appendix Figure 6 It can be seen that, compared with the arch axis shape before adjustment, under the action of dead load and live load, the new arch axis shape reduces the arch foot moment by about 28%, effectively improving the utilization rate of materials.

[0050] Embodiment 2

[0051] Embodiment 2 of the present invention provides a terminal device corresponding to Embodiment 1 above. The terminal device can be a processing device for a client, such as a mobile phone, a laptop computer, a tablet computer, a desktop computer, etc., to execute the method of the above embodiment.

[0052] The terminal device of this embodiment includes a memory, a processor, and a computer program stored on the memory; the processor executes the computer program on the memory to implement the steps of the method of the above Embodiment 1.

[0053] In some implementations, the memory can be a high-speed random access memory (RAM: Random Access Memory), and may also include non-volatile memory, such as at least one disk memory.

[0054] In other implementations, the processor can be a central processing unit (CPU), a digital signal processor (DSP) and other various types of general-purpose processors, which are not limited here.

[0055] Embodiment 3

[0056] Embodiment 3 of the present invention provides a computer-readable storage medium corresponding to Embodiment 1 above, on which a computer program / instructions are stored. When the computer program / instructions are executed by a processor, the steps of the method of the above Embodiment 1 are implemented.

[0057] The computer-readable storage medium can be a tangible device that holds and stores instructions used by an instruction execution device. The computer-readable storage medium can be, for example, but not limited to, an electrical storage device, a magnetic storage device, an optical storage device, an electromagnetic storage device, a semiconductor storage device, or any combination of the above.

[0058] Those skilled in the art should understand that the embodiments of the present application can be provided as a method, a system, or a computer program product. Therefore, the present application can take the form of a complete hardware embodiment, a complete software embodiment, or an embodiment combining software and hardware aspects. Moreover, the present application can take the form of a computer program product implemented on one or more computer-usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) that contain computer-usable program code. The solutions in the embodiments of the present application can be implemented in various computer languages. For example, object-oriented programming languages such as Java and interpreted scripting languages such as JavaScript, etc.

[0059] The present application is described with reference to the flowcharts and / or block diagrams of methods, apparatuses (systems), and computer program products according to the embodiments of the present application. It should be understood that each flow and / or block in the flowchart and / or block diagram, as well as the combination of flows and / or blocks in the flowchart and / or block diagram, can be implemented by computer program instructions. These computer program instructions can be provided to the processor of a general-purpose computer, a special-purpose computer, an embedded processor, or other programmable data processing devices to generate a machine, such that the instructions executed by the processor of the computer or other programmable data processing devices generate means for implementing the functions specified in Figure 1 one flow or multiple flows and / or blocks Figure 1 one block or multiple blocks.

[0060] These computer program instructions can also be loaded onto a computer or other programmable data processing devices, such that a series of operation steps are executed on the computer or other programmable devices to generate a computer-implemented process. Thus, the instructions executed on the computer or other programmable devices provide steps for implementing the functions specified in Figure 1 one flow or multiple flows and / or blocks Figure 1 one block or multiple blocks.

[0061] Although the preferred embodiments of the present application have been described, those skilled in the art can make additional changes and modifications to these embodiments once they know the basic creative concepts. Therefore, the appended claims are intended to be construed as including the preferred embodiments and all changes and modifications that fall within the scope of the present application.

[0062] Obviously, those skilled in the art can make various changes and modifications to the present application without departing from the spirit and scope of the present application. Thus, if these modifications and variations of the present application fall within the scope of the claims of the present application and their equivalent technologies, the present application is also intended to include these changes and modifications.

Claims

1. A method for optimizing the arch axis shape of a power station traffic deck arch bridge, characterized in that: The following steps are involved: Determine the reasonable arch axis shape of the main arch under the action of dead load, and use the reasonable arch axis shape as the reference line shape for arch axis shape adjustment; The deflection of the main arch when the equivalent force of a heavy-loaded vehicle acts on different column coordinates is calculated in sequence, and the deflection curve is used as the reference combined vertical curve; The reference combined vertical curve is superimposed on the reference line shape according to the proportion, and the arch foot bending moment value of the arch axis line shape under the action of the dead load and the live load is calculated, so as to establish the influence matrix function between the proportion of the reference combined vertical curve line shape and the arch foot bending moment; Calculate the linear proportion parameters that minimize the bending moment at the arch foot, and superimpose the reference combined vertical curves according to the proportion parameter combination to obtain the vertical curve coordinate adjustment value at the column; Taking the coordinates and angles of the arch crown and arch foot as constraints, the coordinate adjustment values ​​of each node of the column are fitted to obtain the coordinate adjustment value interpolation curve of the whole bridge. This curve is superimposed on the reference arch axis shape to obtain the reasonable arch axis under heavy traffic.

2. The arch axis shape optimization method for a power station traffic deck arch bridge according to claim 1 is characterized in that: The influence matrix function expression is: [k1 k2...k n ][S]=M; where [S] is the influence matrix, [S]=[s1 s2...s n ] T ;s i is the element I,k in the i-th row of the influence matrix i is the proportionality coefficient; k i is the proportional coefficient, i=1~n, M is the arch axis bending moment effect, and n is the total number of rows in the influence matrix.

3. The arch axis shape optimization method for a power station traffic deck arch bridge according to claim 1, characterized in that: The cubic spline curve is used to fit the coordinate adjustment value of each node of the column.

4. A system for optimizing the arch axis shape of a power station traffic deck arch bridge, characterized in that: include: A reference linear determination unit is used to determine a reasonable arch axis shape of the main arch under the action of a dead load, and use the reasonable arch axis shape as a reference linear shape for adjusting the arch axis shape; The first calculation unit is used to sequentially calculate the deflection of the main arch when the equivalent force of a heavy-loaded vehicle acts on different column coordinates, and use the deflection curve as a reference combined vertical curve; An influence matrix determination unit is used to superimpose the reference combined vertical curve on the reference line shape according to the proportion, calculate the arch foot bending moment value of the arch axis line shape under the action of the dead load and the live load, and thus establish an influence matrix function between the proportion of the reference combined vertical curve line shape and the arch foot bending moment; The second calculation unit is used to calculate the linear proportion parameter that minimizes the bending moment of the arch foot, and superimpose the reference combined vertical curve according to the proportion parameter combination to obtain the vertical curve coordinate adjustment value at the column; The fitting unit is used to fit the coordinate adjustment values ​​of each node of the column with the coordinates and angles of the arch crown and arch foot as constraints, so as to obtain the coordinate adjustment value interpolation curve of the whole bridge. This curve is superimposed on the reference arch axis shape to obtain the reasonable arch axis under heavy traffic.

5. The arch axis shape optimization system for power station traffic deck arch bridge according to claim 4 is characterized in that: The influence matrix function expression is: [k1 k2...k n ][S]=M; [S] is the influence matrix: [S]=[s1 s2...s n ] T ,s i is the influence matrix value, k i is the proportional coefficient, and M is the arch axis bending moment effect.

6. The arch axis shape optimization system for power station traffic deck arch bridge according to claim 4, characterized in that: The fitting unit uses a cubic spline curve to fit the coordinate adjustment values ​​of each node of the column.

7. A terminal device comprising a memory, a processor and a computer program stored in the memory; characterized in that: The processor executes the computer program to implement the steps of the method according to any one of claims 1 to 3.

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