Topology optimization by penalty (TOP) method

被引:0
作者
Bruns, T. E. [1 ]
机构
[1] Univ Illinois, Beckman Inst Adv Sci & Technol, Urbana, IL 61801 USA
来源
IUTAM SYMPOSIUM ON TOPOLOGICAL DESIGN OPTIMIZATION OF STRUCTURES, MACHINES AND MATERIALS: STATUS AND PERSPECTIVES | 2006年 / 137卷
关键词
topology optimization; penalty methods; structures; fluids and mechanisms;
D O I
暂无
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
In traditional structural topology optimization (TO), the material properties of continuum finite elements of fixed form and coupling are varied to find the optimal topology that satisfies the design problem. We develop an alternative, fundamental formulation where the design space search is dependent on the coupling, and the goal of the topology optimization by penalty (TOP) method is to determine the optimal finite element coupling constraints. By this approach, seemingly disparate topology design problems, e.g. the design of structural supports, topology optimization for fluid mechanics problems, and topology optimization by the element connectivity parameterization (ECP) method, can be understood as related formulations under a common topology optimization umbrella, and more importantly, this general framework can be applied to new design problems. For example, in modern multibody dynamics synthesis, the geometric form of finite elements of fixed material properties and interconnectivity are varied to find the optimal topology that satisfies the mechanism design problem. The a priori selection of coupling, e.g. by revolute or translational joints, severely limits the design space search. The TOP method addresses this limitation in a novel way. We develop the methodology and apply the TOP method to the diverse design problems discussed above.
引用
收藏
页码:323 / +
页数:2
相关论文
共 50 条
[41]   A level set method for structural topology optimization [J].
Wang, MY ;
Wang, XM ;
Guo, DM .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2003, 192 (1-2) :227-246
[42]   Topology optimization based on the harmony search method [J].
Lee, Seung-Min ;
Han, Seog-Young .
JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY, 2017, 31 (06) :2875-2882
[43]   Topology Optimization of Grillages by Finite Element Method [J].
Zhou, Ke-min ;
Li, Xia .
ISCM II AND EPMESC XII, PTS 1 AND 2, 2010, 1233 :237-242
[44]   Topology optimization based on the harmony search method [J].
Seung-Min Lee ;
Seog-Young Han .
Journal of Mechanical Science and Technology, 2017, 31 :2875-2882
[45]   A novel topology optimization method for composite beams [J].
Ren, Yiru ;
Xiang Jinwu ;
Lin Zheqi ;
Zhang Tiantian .
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART G-JOURNAL OF AEROSPACE ENGINEERING, 2016, 230 (07) :1153-1163
[46]   Design MEMS actuators with topology optimization method [J].
Zuo, Kongtian ;
Zhao, Yudong ;
Xie, Yongjun ;
Chen, Liping .
2006 1ST IEEE INTERNATIONAL CONFERENCE ON NANO/MICRO ENGINEERED AND MOLECULAR SYSTEMS, VOLS 1-3, 2006, :1517-+
[47]   A novel global optimization method of truss topology [J].
Wang Qi ;
Lu ZhenZhou ;
Tang ZhangChun .
SCIENCE CHINA-TECHNOLOGICAL SCIENCES, 2011, 54 (10) :2723-2729
[48]   A hierarchical neighbourhood search method for topology optimization [J].
K. Svanberg ;
M. Werme .
Structural and Multidisciplinary Optimization, 2005, 29 :325-340
[49]   Topology optimization method with elimination of enclosed voids [J].
Lu Zhou ;
Weihong Zhang .
Structural and Multidisciplinary Optimization, 2019, 60 :117-136
[50]   Combination of topology optimization and optimal control method [J].
Deng, Yongbo ;
Liu, Zhenyu ;
Liu, Yongshun ;
Wu, Yihui .
JOURNAL OF COMPUTATIONAL PHYSICS, 2014, 257 :374-399