拓扑优化经典文献
本帖最后由 lk_dragon 于 2014-2-11 21:19 编辑长时间未上论坛,深表歉意,提供一些经典文献名称供大家参考,不对的地方,请大家改正,欢迎增加
第一篇提出拓扑优化方法的文献
Bendsoe MP, Kikuchi N. Generatingoptimal topologies in structural design using a homogenization method.Computer Methods in Applied Mechanics and Engineering, 71(2): 197-224.
变密度提出的文献
Bendsoe MP. Optimal shapedesign as a material distribution problem. Structural Optimization, 1989, 1(4):193-202.Rozvany GIN, ZhouM, Birker T. Generalized shape optimization without homogenization.Structural optimization, 1992, 4(3-4): 250-252.
ESO法提出Xie YM, Steven GP. A simple evolutionary procedure for structuraloptimization. Computers & Structures, 1993, 49(5): 885-896
ESO法专著Xie YM, Steven GP.Evolutionary Structural Optimization. Berlin,Heidelberg, New York: Springer, 1997.Huang X, Xie YM. EvolutionaryTopology Optimization of Continuum Structures: Methods and Applications. Chickester, England:John Wiley & Sons. Ltd, 2010.
水平集法提出Sethian JA, Wiegmann A. Structuralboundary design via level set and immersed interface methods. Journal of ComputationalPhysics, 2000, 163(2): 489-528.Wang MY,Wang XM, Guo DM. A level set method for structural topology optimization. ComputerMethods in Applied Mechanics and Engineering, 2003, 192(1-2): 227-246.Allaire G, Jouve F,Toader AM. Structural optimization using sensitivity analysis and a level-setmethod. Journal of Computational Physics, 2004, 194(1): 363-393.
相场法提出Wang MY, Zhou S. Phase field: a variationalmethod for structural topology optimization. Comput Model Eng Sci, 2004,6(6): 547-566.Bourdin B, Chambolle A. Design-dependent loadsin topology optimization. ESAIM: Control, Optimisation and Calculus of Variations,2003, 9: 19-48
早期文献综述Rozvany GIN. Aim, scope, methods, historyand unified terminology of computer-aided topology optimization in structuralmechanics. Structural and MultidisciplinaryOptimization, 2001, 21(2): 90-108 Eschenauer HA, Olhoff N. Topology optimizationof continuum structures: a review.Applied Mechanics Reviews, 2011, 54(4): 331-390
较新的文献综述Sigmund O, Maute K.Topology optimization approaches. Structuraland Multidisciplinary Optimization, 2013, 48(6): 1031-1055Deaton JD, Grandhi RV. Asurvey of structural and multidisciplinary continuum topology optimization:post 2000. Structural andMultidisciplinary Optimization, 2014, 49(1): 1-38
个人体会近两年研究较多的有密度过滤的SIMP方法,这种方法包括设计变量与物理密度,有的还有Heaviside投影方式,是phase-2和phase-3方式;相场法采用PDE描述,和PDE描述的密度过滤SIMP方法和相似。相场法和水平集也非常类似;软杀ESO可以认为是一种离散的SIMP方法;不同方法朝着各自的研究方向前进,但具有明显的相互关系,Sigmund在最新综述中有所提及。
楼主很强大!谢谢 楼主确实积累很多 :)支持! 谢谢,长知识了 向楼主学习 十分谢谢楼主! 十分谢谢楼主! 谢谢分享!
向楼主学习 长知识了谢谢楼主 确实是很好的文献,拓扑算法学习了解很有帮助 十分谢谢楼主! 谢谢龙老师的分享 有中文文献吗 先收下了,谢谢! 学习了
菜鸟一只,先下载下来学习,感谢楼主 不是看得很懂 但總覺得進步很多
好棒!!!真好!!!
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