Level-Set-Based Topology Optimization of a Geometrically Nonlinear Structure Considering Thermo-mechanical Coupling Effect  

作　　者：Sujun Wang An Xu Ruohong Zhao 

机构地区：[1]Research Center for Wind Engineering and Engineering Vibration,Guangzhou University,Guangzhou,510006,China [2]Department of Mechanics,Beijing University of Technology,Beijing,100124,China

出　　处：《Acta Mechanica Solida Sinica》2025年第1期100-114,共15页固体力学学报(英文版)

基　　金：supported by grants from the National Natural Science Foundation of China (51478130);the Guangzhou Municipal Education Bureau’s Scientific Research Project, China (2024312217);the China Scholarship Council (201808440070);the 111 Project of China (D21021).

摘　　要：This paper presents an improved level set method for topology optimization of geometrically nonlinear structures accounting for the effect of thermo-mechanical couplings.It derives a new expression for element coupling stress resulting from the combination of mechanical and thermal loading,using geometric nonlinear finite element analysis.A topological model is then developed to minimize compliance while meeting displacement and frequency constraints to fulfill design requirements of structural members.Since the conventional Lagrange multiplier search method is unable to handle convergence instability arising from large deformation,a novel Lagrange multiplier search method is proposed.Additionally,the proposed method can be extended to multi-constrained geometrically nonlinear topology optimization,accommodating multiple physical field couplings.

关 键 词：Topology optimization Geometric nonlinearity Thermo-mechanical coupling effect Level set method Multiple constraints 

分 类 号：O342[理学—固体力学]