Topology optimization of 3D structures with design-dependent loads 被引量：1

下载PDF

导出

摘要 Topology optimization of continuum structures with design-dependent loads has long been a challenge. In this paper, the topology optimization of 3D structures subjected to design-dependent loads is investigated. A boundary search scheme is proposed for 3D problems, by means of which the load surface can be identified effectively and efficiently, and the difficulties arising in other approaches can be overcome. The load surfaces are made up of the boundaries of finite elements and the loads can be directly applied to corresponding element nodes, which leads to great convenience in the application of this method. Finally, the effectiveness and efficiency of the proposed method is validated by several numerical examples.

作者 Hui Zhang Shu-Tian Liu Xiong Zhang

机构地区 State Key Laboratory of Structural Analysis for Industrial Equipments Department of Engineering M echanics Dalian University of Technology

出处《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2010年第5期767-775,共9页 力学学报(英文版)

基金 supported by the National Natural Science Foundation of China(90816025,10721062) National Basic Research Program of China(2006CB601205) Program for New Century Excellent Talents in University of the Ministry of Education of China(NCET-04-0272)

关键词 Design-dependent loads Topology optimization 3D structures-Load surface Pressure loading

分类号 O342 [理学—固体力学] TM561.506 [电气工程—电器]

引文网络
相关文献

参考文献1

1郭旭,赵康.拓扑相关荷载作用下结构拓扑优化的水平集方法[J].工程力学,2005,22(5):69-77. 被引量：9

二级参考文献11

1M P Bendsoe, N Kikuchi. Generating optimal topologies in structural design using a homogenization method[J].Computer Methods in Applied Mechanics and Engineering, 1988, 71: 197-224.
2G I N Rozvany, M Zhou, T Birker. Generalized shape optimization without homogenizaton[J]. Structural Optimization, 1992, 4: 250-252.
3Y M Xie, G P Steven. A simple evolutionary procedure for structural optimization[J]. Computers and Structures,1993, 49: 885-896.
4H A Eschenauer, N Olhoff. Topology optimization of continuum structures: A review[J]. Applied Mechanics Review, 2001, 54:331-390.
5V B Hammer, N Olhoff. Topology optimization of continuum structures subjected to pressure loading[J].Structural and Multidisciplinary Optimization, 2000, 19:85-92.
6V B Hammer, N Olhoff. Topology optimization of 3D structures with design dependent loads[C]. Proceedings of the Fourth World Congress of Structural and Multidisciplinary Optimization Dalian, China June 4-8,2001.
7J B Du, N Olhoff. Topological design optimization of 2D and 3D continuum structures with design-dependent surface load[C]. Proceedings of the Fifth World Congress of Structural and Multidisciplinary Optimization Lido di Jesolo-Venice, Italy May 19-23,2003.
8B C Chen, N Kikuchi. Topology optimization with design-dependent loads[J]. Finite Elements in Analysis and Design, 2001, 37: 57-70.
9J A Sethian, A Wiegmann. Structural boundary design via level set and immersed interface methods[J]. Journal of Computational Physics, 2000, 163: 489-528.
10G Allaire, F Jouve, A M Toader. A level set method for shape optimization[J]. Comptes Rendus de l'Academie des Sciences Serie Ⅰ, 2002, 334:1125-1130.