Hingeless arch bridge parameter optimization method, device and equipment

Abstract

The embodiment of the invention provides a hinge-free arch bridge parameter optimization method, device and equipment. The method comprises the following steps: calculating mechanical response parameters of a target hinge-free arch structure by adopting an angular displacement method; constructing an objective function based on the mechanical response parameters and the obtained optimization indexes, wherein the objective function comprises a plurality of to-be-optimized design parameters of the unhinged arch structure; initial design parameters of the unhinged arch structure are determined; and performing iterative calculation on the initial design parameters and the target function based on an optimization algorithm to obtain optimized design parameters. According to the parameter optimization method for the hinged arch bridge provided by the embodiment of the invention, the design parameters of the hinged arch structure can be automatically optimized on the basis of a simple and rapid method, so that the optimal design parameters are obtained.

Claims

1. A method for optimizing parameters of a hingeless arch bridge, characterized in that: include: The angular displacement method is used to calculate the mechanical response parameters of the target hingeless arch structure; constructing an objective function based on the mechanical response parameters and the obtained optimization index, wherein the objective function includes a plurality of design parameters to be optimized of the hingeless arch structure; determining initial design parameters of the hingeless arch structure; The initial design parameters and the objective function are iteratively calculated based on the optimization algorithm to obtain the optimized design parameters.

2. The hingeless arch bridge parameter optimization method according to claim 1, characterized in that: The method of calculating the mechanical response parameters of the target hingeless arch structure using the rotational displacement method includes: Discretizing the target hingeless arch structure into a broken line beam with n nodes; The angular displacement method is used to calculate the mechanical response parameters of each node.

3. The hingeless arch bridge parameter optimization method according to claim 2, characterized in that: The method of calculating the mechanical response parameters of each node using the rotational displacement method includes: Determining various parameters of each of the nodes, including displacement parameters, rotation parameters, external loads in various directions, and support reactions; Constructing a matrix vector based on various parameters of the node; Constructing an overall stiffness matrix of the target hingeless arch structure; The displacement parameters and support reaction forces of the nodes are calculated based on the matrix vector and the overall stiffness matrix.

4. The hingeless arch bridge parameter optimization method according to claim 3, characterized in that: The constructing of the global stiffness matrix of the target hingeless arch structure includes: determining a unit stiffness matrix of the target hingeless arch structure based on an elastic modulus of a material used for the target hingeless arch structure, a cross-sectional area and a moment of inertia of the target hingeless arch structure, and a unit length of the target hingeless arch structure, wherein each node of the target hingeless arch structure forms a unit; Determine the angle between the local coordinate axis of the element stiffness matrix and the global coordinate axis of the target hingeless arch structure; Processing the element stiffness matrix based on the angle rotation to obtain the element stiffness matrix in the global coordinate system; determining the equilibrium force relationship of the node; Based on the balanced force relationship, the unit stiffness matrices in the global coordinate system are spliced ​​together to obtain the global stiffness matrix.

5. The hingeless arch bridge parameter optimization method according to claim 3, characterized in that: The method further comprises: The axial force, shear force and bending moment acting on the node are calculated based on the displacement and support reaction of the node and the overall stiffness matrix.

6. The hingeless arch bridge parameter optimization method according to claim 1, characterized in that: The constructing of an objective function based on the mechanical response parameters and the obtained optimization index comprises: Determining soft indicators and soft indicator functions, wherein the soft indicators include indicators that need to be satisfied by non-structural factors involved in the actual construction process of the target hingeless arch structure; Determining hard indicators and hard indicator functions, wherein the hard indicators include requirements that various mechanical response parameters of the target hingeless arch structure must meet; The objective function is constructed based on the soft indicator function and the hard indicator function.

7. The hingeless arch bridge parameter optimization method according to claim 6, characterized in that: The hard indicator function H(θ) includes: ReLU(x)=max(x,0)where and They represent the kth mechanical response parameter and the corresponding limit value of the i-th node, n is the number of nodes, l is the length of each node, and θ is the design parameter.

8. The hingeless arch bridge parameter optimization method according to claim 6, characterized in that: The soft index function and the hard index function are both scalar functions; The iterative calculation of the initial design parameters and the objective function based on the optimization algorithm includes: Obtaining a preset threshold; Calculating the gradient of the soft indicator function and the norm of the gradient; When the norm is greater than the threshold, the design parameter is updated from the initial design parameter to θ-α▽G(θ), where θ is the design parameter, the value of which during the first calculation is the initial design parameter θ0, and α is the learning rate; When the node is updated to , the new design parameter is input into the hard index function to obtain a hard index result; If the hard indicator result is greater than 0, the design parameter is updated from the current value to θ-αλ▽H(θ), where λ is the regularization parameter and ▽H(θ) is the gradient value of the hard indicator function; Repeat the above calculation steps until all iterative calculations are completed to obtain the optimized design parameters.

9. A device for optimizing parameters of a hingeless arch bridge, characterized in that: include: A calculation module is used to calculate the mechanical response parameters of the target hingeless arch structure using an angular displacement method; A construction module, configured to construct an objective function according to the mechanical response parameters and the obtained optimization index, wherein the objective function includes a plurality of design parameters to be optimized of the hingeless arch structure; A determination module, configured to determine initial design parameters of the hingeless arch structure; The optimization module is used to iteratively calculate the initial design parameters and the objective function according to the optimization algorithm to obtain the optimized design parameters.

10. An electronic device, characterized in that: include: one or more processors; a memory configured to store one or more programs; When the one or more programs are executed by the one or more processors, the one or more processors implement the hingeless arch bridge parameter optimization method according to any one of claims 1 to 8.

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