• CN: 11-2187/TH
  • ISSN: 0577-6686

Journal of Mechanical Engineering ›› 2022, Vol. 58 ›› Issue (14): 223-232.doi: 10.3901/JME.2022.14.223

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Multiobjective Topology Optimization of Thermo-mechanical Coupling Periodic Structure Based on Meshless Method

ZHANG Jianping, LIU Tingxian, GONG Shuguang, PENG Jiangpeng, CHEN Lili   

  1. School of Mechanical Engineering, Xiangtan University, Xiangtan 411105
  • Received:2021-01-15 Revised:2021-12-15 Online:2022-07-20 Published:2022-09-07

Abstract: Structural topology optimization based on mesh method is prone to numerical instability such as mesh dependence and checkerboard. The multiobjective topology optimization model of thermo-mechanical coupling periodic structure for orthotropic material is established using the Element-free Galerkin (EFG) method. The weighted function of compliance and heat dissipation is defined as the objective function, and then the periodicity of the structure is ensured by readjusting the objective function sensitivity of corresponding nodes in the different subdomains. The effects of the weight coefficient, number of design subdomains, Poisson's ratio factor, thermal conductivity factor, and off-angle on the EFG optimal multiobjective periodic topological structure and objective function are studied, and the reasonable ranges of the above parameter values are obtained. The correctness of the proposed model is verified by the topological results based on the finite element method, and the results show that the present model can generate a clearer structure boundary profile without using sensitivity filtering technique, then the EFG optimal multiobjective periodic structures are manufactured by 3D printing technology. Finally, a group of optimal parameters is selected to carry out the EFG multiobjective periodic topology optimization design of orthotropic structure, and the optimal result is compared with isotropic structure. It is found that the temperature, displacement and stress field of the optimal periodic topological structure with orthotropic material are significantly improved, and the value of the weighted objective function, compliance and heat dissipation are reduced by 6.5%, 32.6% and 48.6% respectively, which reflects the performance advantages of the multiobjective periodic structure with orthotropic material. The proposed topology optimization model based on meshfree method provides an important theoretical guidance for the lightweight design of composite periodic structure.

Key words: element-free Galerkin method, orthotropic material, periodic structure, multiobjective topology optimization, thermo-mechanical coupling

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