Anisotropic structure thermal-mechanical coupling topological optimization method based on meshless EFGM and PLSM

Abstract

The invention discloses an anisotropic structure thermal-mechanical coupling multi-objective topological optimization method based on a meshless EFGM and a parameterized level set method. The method comprises the following steps: (1) inputting a Poisson's ratio factor, a thermal conductivity factor, a material direction angle and other material attributes of an anisotropic structure, and carrying out the discrete design of a domain through meshless nodes; (2) initializing a level set function of the meshless nodes; (3) interpolating a level set function by adopting a radial basis function in combination with the parameterized level set method; (4) solving a displacement field and a temperature field of the anisotropic structure based on meshless EFGM; (5) based on meshless EFGM and PLSM theories, establishing a mathematical model for thermal coupling multi-target topological optimization of the anisotropic structure; (6) inputting a termination condition, and judging whether an optimization loop is converged or not; (7) calculating a normal velocity field of a structure boundary; (8) programming, solving and optimizing the model, and updating the level set function. According to the method, thermal-mechanical coupling multi-target topological optimization of the anisotropic structure is carried out based on the meshless EFGM and PLSM, the calculation efficiency is high, the boundary of the topological structure is clear and smooth, and the method is simple and practical.

Description

technical field [0001] The invention belongs to the field of structural optimization design in computer-aided engineering, and in particular relates to an isotropic method based on the Element-free Galerkin Method (EFGM) and the parameterized Level Set Method (Parameterized LevelSet Method, PLSM). Thermomechanical coupled multi-objective topology optimization method for heterogeneous structures. Background technique [0002] Due to their excellent mechanical and heat transfer properties, anisotropic structures have been widely used in fields such as mechanical engineering, power engineering, and aerospace. Most of their service environments involve multi-physics fields such as mechanics, thermals, and electromagnetics. At present, structural topology optimization has become an important frontier research direction in the field of engineering structure optimization design, and its combination with computational mechanics, numerical heat transfer and other computer-aided engin...

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Problems solved by technology

In order to solve the problems that the topological structure obtained based on the common topology optimization method is prone to numerical instability such as sawtooth, checkerboard and intermediate density, and the optimal topological structure is not easy to process, the present invention proposes a meshless EFGM and PLSM based isotropic The heterogeneous structural thermal-mechanical coupling topology optimization method uses the discrete design domain of the meshless EFGM nodes, takes the level set function as the design variable, the volume fraction as the constraint condition, and takes the weighted function of structural flexibility and heat dissipation weakness as the optimization objective, and establishes a model based on the meshless The mathematical model of thermomechanical coupling multi-objective topology optimization of anisotropic structure of grid EFGM and PLSM; and write the computer program of the algorithm to perform thermomechanical coupling multi-objective topology of anisotropic structure with different weight coefficients and anisotropic material property parameters Optimize the design and output its optimal topology

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