TOPOLOGY SYNTHESIS OF GEOMETRICALLY NONLINEAR COMPLIANT MECHANISMS USING MESHLESS METHODS

作     者：Yixian Du Liping Chen Zhen Luo 

作者机构：School of Mechanical Science ＆ Engineering Huazhong University of Science ＆ Technology Wuhan 430074 China School of Aerospace Mechanical and Mechatronic Engineering The University of Sydney NSW 2006 Australia 

出 版 物：《Acta Mechanica Solida Sinica》 (固体力学学报（英文版）)

年 卷 期：2008年第21卷第1期

页      面：51-61页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：the National '973' Key Fundamental Research Projects of China(No.2003CB716207) the National '863' High-Tech Development Projects of China(No.2006AA04Z162) also the Australian Research Council(No.ARC-DP0666683) 

主　　题：compliant mechanisms topology optimization element-free Galerkin methods,geometrical nonlinearity 

摘      要：This paper presents a new method for topology optimization of geometrical nonlinear compliant mechanisms using the element-free Galerkin method （EFGM）. The EFGM is employed as an alternative scheme to numerically solve the state equations by fully taking advantage of its capability in dealing with large displacement problems. In the meshless method, the imposition of essential boundary conditions is also addressed. The popularly studied solid isotropic material with the penalization （SIMP） scheme is used to represent the nonlinear dependence between material properties and regularized discrete densities. The output displacement is regarded as the objective function and the adjoint method is applied to finding the sensitivity of the design functions. As a result, the optimization of compliant mechanisms is mathematically established as a nonlinear programming problem, to which the method of moving asymptotes （MMA） belonging to the sequential convex programming can be applied. The availability of the present method is finally demonstrated with several widely investigated numerical examples.