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Continuum structure topology optimization based on Singer interpolation model

Published:2023-03-23 author:LI Yu-gang, YANG Lin. Browse: 485 Check PDF documents

Continuum structure topology optimization based

on Singer interpolation model

LI Yu-gang1,2 , YANG Lin1

(1.Guizhou Equipment Manufacturing Vocational College, Guiyang 550025, China;

2.School of Mechanical Engineering, Guizhou University, Guiyang 550025, China)

Abstract: The traditional variable density topology optimization method has the defect of oneway penalty. In order to effectively make up for the defect of the traditional variable density method, the penalty function method was studied, and a new topology optimization method of continuum structure based on Singer interpolation mode was proposed.Firstly, based on the existing penalty function characteristics, a more reasonable strategy for handling intermediate elements was proposed. Then, a new and more reasonable interpolation model of material properties with bi-directional promotion characteristics was constructed by using the Singer function, and based on the Singer interpolation model, the mathematical model of continuum structure topology optimization was established.Finally, the effectiveness and feasibility of the new method for topology optimization in 2D and 3D design domains were verified by several typical example's optimization with the moving asymptotic algorithm. The research results indicate that without using filtering technology, the new method can not only reduce numerical instability effectively, but also obtain the final topological structure with clear boundaries. Comparing with the second type of Singer interpolation method and the solid isotropic microstructures with penalization (SIMP) interpolation method, the first type of Singer interpolation method, which interpolates only the sensitivity, is more agile, and smaller objective function values can be obtained; the topology of structure obtained by the new method for topology optimization in 3D design domain is reliable, clear and undistorted.

Key words: variable density topology optimization method; penalty function method; Singer function; the moving asymptotic algorithm; bi-directional promotion

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