Doing Topology Optimization Explicitly and Geometrically-A New Moving Morphable Components Based Framework

被引:970
作者
Guo, Xu [1 ]
Zhang, Weisheng [1 ]
Zhong, Wenliang [1 ]
机构
[1] Dalian Univ Technol, Dept Engn Mech, State Key Lab Struct Anal Ind Equipment, Dalian 116023, Peoples R China
来源
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME | 2014年 / 81卷 / 08期
关键词
topology optimization; morphable component; geometry; sensitivity analysis;
D O I
10.1115/1.4027609
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
In the present work, we intend to demonstrate how to do topology optimization in an explicit and geometrical way. To this end, a new computational framework for structural topology optimization based on the concept of moving morphable components is proposed. Compared with the traditional pixel or node point-based solution framework, the proposed solution paradigm can incorporate more geometry and mechanical information into topology optimization directly and therefore render the solution process more flexibility. It also has the great potential to reduce the computational burden associated with topology optimization substantially. Some representative examples are presented to illustrate the effectiveness of the proposed approach.
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页数:12
相关论文
共 23 条
[1]   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
[2]  
Altair HyperWorks, 2012, OPTISTRUCT 12 0 US G
[3]  
Bendsoe M. P., 1989, Struct. Optim., V1, P193, DOI [10.1007/BF01650949, DOI 10.1007/BF01650949]
[4]  
Bendsoe MP, 2005, CONTROL CYBERN, V34, P7
[5]   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
[6]   AN ANALYTICAL MODEL TO PREDICT OPTIMAL MATERIAL PROPERTIES IN THE CONTEXT OF OPTIMAL STRUCTURAL DESIGN [J].
BENDSOE, MP ;
GUEDES, JM ;
HABER, RB ;
PEDERSEN, P ;
TAYLOR, JE .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1994, 61 (04) :930-937
[7]   Level set based robust shape and topology optimization under random field uncertainties [J].
Chen, Shikui ;
Chen, Wei ;
Lee, Sanghoon .
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2010, 41 (04) :507-524
[8]  
Cheng G.D., 1992, ENG OPTIMIZ, V20, P129, DOI [DOI 10.1080/03052159208941276, 10.1080/03052159208941276]
[9]   epsilon-relaxed approach in structural topology optimization [J].
Cheng, GD ;
Guo, X .
STRUCTURAL OPTIMIZATION, 1997, 13 (04) :258-266
[10]  
DS Simulia, 2011, TOP SHAP OPT AB