Multi-scale topology optimization design based on thermo-mechanical coupling problem
Received:June 03, 2020  Revised:July 29, 2020
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DOI:10.7511/jslx20200603002
KeyWord:thermo-mechanical structure  energy homogenization method  the equivalent property  concurrent topology optimization  microstructure
        
AuthorInstitution
魏兆栋 大连理工大学 汽车工程学院, 工业装备结构分析国家重点实验室, 大连
高仁璟 大连理工大学 汽车工程学院, 工业装备结构分析国家重点实验室, 大连 ;大连理工大学 宁波研究院, 宁波
王长生 大连理工大学 汽车工程学院, 工业装备结构分析国家重点实验室, 大连 ;大连理工大学 宁波研究院, 宁波
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Abstract:
      Topological optimization based on homogeneous materials is difficult to meet the demand of modern production for high quality and light weight of industrial products,and many industrial equipment are often faced with high temperature and high load working environment.In order to improve the mechanical properties of a structure under temperature load and mechanical load,a concurrent topological optimization method for the thermo-mechanical coupled continuum structure under the action of a steady-state heat source is proposed in this paper.Taking the structural stiffness as the objective function and volume fraction ratio of the material as the constraint,the equivalent properties of the microstructure are predicted by using the energy homogenization method,and the mathematical model of topology optimization of the thermo-mechanical coupled structure is established.In order to facilitate numerical calculation,sensitivity analysis was carried out by direct method,meanwhile,Heaviside nonlinear density filtering technology was used to suppress numerical instability and OC criterion algorithm is used to solve the optimization problem.Numerical examples show that the proposed method can effectively optimize the design and significantly improve the stiffness and heat dissipation performance of the structure.