文档介绍：基于面光滑有限元的复杂三维结构拓扑优化何智成1陈少伟1李光耀1张桂勇2 ,长沙,410082 ,大连,1 1 6023摘要:为了增强拓扑优化计算对任意复杂模型的适应性,改进基于线性四面体有限元的拓扑优化结果,引入了一种新型高精度的基于面光滑有限元模型(FS-FEM)来进行拓扑优化,通过每次迭代时提供很好的梯度解及位移解,从而达到改善拓扑优化结果的目的。在基于面光滑有限元模型的拓扑优化中,以柔度最小作为目标函数,建立了基于固体各向同性材料惩罚插值(SIMP)的拓扑优化数学模型,该数学模型通过最优准则进行求解。多个不同载荷的拓扑优化数值算例说明,采用基于面光滑有限元进行拓扑优化,结果都能够单调收敛,且采用该方法建立的拓扑优化模型能抑制棋盘格现象。与商业软件OptiStruct 的计算比较表明,该方法相比有限元方法能得到更合理的拓扑结构。关键词:拓扑优化;光滑伽辽金;面光滑有限元;四面体单元中图分类号:TH122 DOI:.1004 Optimization Using FS-FEM plex Three-dimensional ModelsHe Zhicheng1Chen Shaowei1Li Guangyao1Zhang Guiyong2 Key Laboratory of Advanced Design and Manufacturing for Vehicle Body,Hunan University,Changsha,410082 Key Laboratory of Structural Analysis for Industrial Equipment,Dalian University of Technology,Dalian,Liaoning,1 1 6023Abstract:The FS-FEM was proposed recently based on tetrahedral mesh,and showed great prop-erty in solid mechanics,such as providing very good gradient topology optimization de-sign of the continuum structures under static load was formulated in the scheme of FS- theface-based smoothing domains were the sub-units of assembling stiffness matrix in the discretized sys-tem of smoothed Galerkin weak form,thus the relative density of face-based smoothing domains wereserved as design this formulation,the pliance was con