• 机械科学 •

### 基于面光滑有限元的复杂三维结构拓扑优化

1. 1.湖南大学汽车车身先进设计制造国家重点实验室，长沙，410082
2.大连理工大学工业装备结构分析国家重点实验室，大连，116023
• 出版日期:2015-04-10 发布日期:2015-04-24
• 基金资助:
国家自然科学基金资助项目（11202074）；湖南大学汽车车身先进设计制造国家重点实验室自主研究课题(51375001)；工业装备结构分析国家重点实验室开放基金资助项目(GZ1403)
National Natural Science Foundation of China（No. 11202074）

### Topology Optimization Using FS-FEM for Complex Three-dimensional Models

He Zhicheng1;Chen Shaowei1;Li Guangyao1;Zhang Guiyong2

1. 1.State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body,Hunan University,Changsha,410082
2.State Key Laboratory of Structural Analysis for Industrial Equipment,Dalian University of Technology,Dalian,Liaoning,116023
• Online:2015-04-10 Published:2015-04-24
• Supported by:
National Natural Science Foundation of China（No. 11202074）

Abstract:

The FS-FEM was proposed recently based on tetrahedral mesh, and showed great property in solid mechanics, such as providing very good gradient solutions. The topology optimization design of the continuum structures under static load was formulated in the scheme of FS-FEM. As the face-based smoothing domains were the sub-units of assembling stiffness matrix in the discretized system of smoothed Galerkin weak form, thus the relative density of face-based smoothing domains were served as design variables. In this formulation, the minimization compliance was considered as an objective function, and the mathematic of the topology optimization model was developed using the solid isotropic material with penalization (SIMP) interpolation scheme. The topology optimization problem was then solved by the optimality criteria method. Finally, the feasibility and efficiency of the proposed method were illustrated with several 3D examples that were widely used in the topology optimization design.