Multi-component layout topological optimization method based on parameterized color level set

Abstract

The invention belongs to the related technical field of multi-component layout topological optimization design, and discloses a multi-component layout topological optimization method based on a parameterized color level set, which comprises the following steps: (1) constructing a level set function of each component, and integrating all the components into one level set function; (2) determining amaterial topology model of a matrix, a component and a cavity; (3) interpolating the elastic modulus of the component embedded into the finite grid of the structural design domain with the elastic modulus of the base material in the structural design domain to obtain the equivalent elastic modulus of the structural design material; (4) constructing a minimum flexibility layout optimization modelof the multi-component integrated system, and performing finite element analysis to obtain a displacement field; then, calculating to obtain a target function; afterwards, conducting sensitivity analysis on the design variables, and updating the design variables so as to determine the optimal position of the assembly layout and the optimal distribution of the base material. The number of design variables is reduced, and the calculation efficiency is improved.

Description

technical field [0001] The invention belongs to the related technical field of multi-component topology optimization design, and more specifically relates to a multi-component layout topology optimization method based on parameterized color level set. Background technique [0002] In many engineering structure designs nowadays, it is usually necessary to embed one or more geometric bodies with a fixed shape into the fixed structure to meet the specific functions required. The embedded object can be a component with a certain function or a certain bearing capacity. The functional structural components can also be the preset space reserved for equipping other equipment components. For example, in aerospace engineering, some equipment with certain functions are often embedded in the main structure, usually for lightweight design. These devices can also be used as load-bearing structures, so multi-component layout refers to the position and orientation of multiple components, ra...

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Problems solved by technology

Among them, in the multi-component layout optimization based on the SIMP method, since each update of the component design variables will be reversely substituted into the multi-component expression and re-initialized, it can ensure that the shape of each iteration component remains unchanged, although this method is relatively simple and easy to calculate , but most of the optimization results obtained under this framework are gray-scale images, which are prone to checkerboard and gray-scale units. artificial refactoring to achieve

[0004] Among them, the parametric color level set method has its unique advantages. Under this framework, smooth and clear boundary shapes can be obtained, topology and shape optimization can be performed at the same time, and geometric dimensions and manufacturing constraints can be well understood. However, the level set method There are many design variables, and the optimization convergence speed is slow. If the matrix and multiple components are interpolated using radial basis functions, the dynamically changing structural boundaries of the two are implicitly embedded in the Lipschitz continuous level set function to perform shape and Topology optimization, which will greatly increase the calculation time, reduce the calculation efficiency, and the component shape is easy to change

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