A new level set method for topology optimization of distributed compliant mechanisms

被引:51
作者
Zhu, Benliang [1 ]
Zhang, Xianmin [1 ]
机构
[1] S China Univ Technol, Sch Mech & Automot Engn, Guangdong Prov Key Lab Precis Equipment & Mfg Tec, Guangzhou 510640, Guangdong, Peoples R China
基金
美国国家科学基金会;
关键词
compliant mechanism; distributed compliance; level set method; reinitialization; topology optimization; CODE WRITTEN; DESIGN; SHAPE;
D O I
10.1002/nme.4296
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A new level set method for topology optimization of distributed compliant mechanism is presented in this study. By taking two types of mean compliance into consideration, several new objective functions are developed and built in the conventional level set method to avoid generating the de facto hinges in the created mechanisms. Aimed at eliminating the costly reinitialization procedure during the evolution of the level set function, an accelerated level set evolution algorithm is developed by adding an extra energy function, which can force the level set function to close to a signed distance function during the evolution. Two widely studied numerical examples in topology optimization of compliant mechanisms are studied to demonstrate the effectiveness of the proposed method. Copyright (c) 2012 John Wiley & Sons, Ltd.
引用
收藏
页码:843 / 871
页数:29
相关论文
共 55 条
[1]   A topology-preserving level set method for shape optimization [J].
Alexandrov, O ;
Santosa, F .
JOURNAL OF COMPUTATIONAL PHYSICS, 2005, 204 (01) :121-130
[2]   Structural optimization using sensitivity analysis and a level-set method [J].
Allaire, G ;
Jouve, F ;
Toader, AM .
JOURNAL OF COMPUTATIONAL PHYSICS, 2004, 194 (01) :363-393
[3]   Mechanical design of compliant microsystems - A perspective and prospects [J].
Ananthasuresh, GK ;
Howell, LL .
JOURNAL OF MECHANICAL DESIGN, 2005, 127 (04) :736-738
[4]  
[Anonymous], 2013, Topology optimization: theory, methods, and applications
[5]  
[Anonymous], 2002, Applied Mathematical Sciences
[6]  
Belegundu A., 1999, Optimization Concepts and Applications in Engineering
[7]   GENERATING OPTIMAL TOPOLOGIES IN STRUCTURAL DESIGN USING A HOMOGENIZATION METHOD [J].
BENDSOE, MP ;
KIKUCHI, N .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1988, 71 (02) :197-224
[8]   Numerical methods for the topology optimization of structures that exhibit snap-through [J].
Bruns, TE ;
Sigmund, O ;
Tortorelli, DA .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2002, 55 (10) :1215-1237
[9]   A discrete level-set topology optimization code written in Matlab [J].
Challis, Vivien J. .
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2010, 41 (03) :453-464
[10]  
Chen SH, 2007, THESIS