Convergent and mesh-independent solutions for the bi-directional evolutionary structural optimization method

Finite Elements in Analysis and Design - Tập 43 Số 14 - Trang 1039-1049 - 2007
Xiaodong Huang1, Yi Min Xie1
1School of Civil and Chemical Engineering, RMIT University, G.P.O. Box 2476V, Melbourne 3001, Australia#TAB#

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Tài liệu tham khảo

Bendsøe, 1988, Generating optimal topologies in structural design using a homogenization method, Comput. Methods Appl. Mech. Eng., 71, 197, 10.1016/0045-7825(88)90086-2

Bendsøe, 2003

Bendsøe, 1989, Optimal shape design as a material distribution problem, Struct. Optim., 1, 193, 10.1007/BF01650949

Zhou, 1991, The COC algorithm, part II: topological, geometry and generalized shape optimization, Comput. Methods. Appl. Mech. Eng., 89, 197, 10.1016/0045-7825(91)90046-9

Mlejnek, 1992, Some aspects of the genesis of structures, Struct. Optim., 5, 64, 10.1007/BF01744697

Rietz, 2001, Sufficiency of a finite exponent in SIMP (power law) methods, Struct. Multidiscip. Optim., 21, 159, 10.1007/s001580050180

Xie, 1993, A simple evolutionary procedure for structural optimization, Comput. Struct., 49, 885, 10.1016/0045-7949(93)90035-C

Xie, 1997

Xie, 1996, Evolutionary structural optimization for dynamic problems, Comput. Struct., 58, 1067, 10.1016/0045-7949(95)00235-9

Manickarajah, 1998, An evolutionary method for optimization of plate buckling resistance, Finite Elem. Anal. Des., 29, 205, 10.1016/S0168-874X(98)00012-2

Li, 1999, Shape and topology design for heat conduction by evolutionary structural optimization, Int. J. Heat Mass Transfer, 42, 3361, 10.1016/S0017-9310(99)00008-3

Yang, 1999, Bidirectional evolutionary method for stiffness optimization, AIAA J., 37, 1483, 10.2514/2.626

Tanskanen, 2002, The evolutionary structural optimization method: theoretical aspects, Comput. Methods Appl. Mech. Eng., 191, 5485, 10.1016/S0045-7825(02)00464-4

Sigmund, 1998, Numerical instabilities in topology optimization: a survey on procedures dealing with checkerboards, mesh-dependencies and local minima, Struct. Optim., 16, 68, 10.1007/BF01214002

Yang, 2003, Perimeter control in the bidirectional evolutionary optimization method, Struct. Multidiscip. Optim., 24, 430

Bruns, 2003, An element removal and reintroduction strategy for the topology optimization of structures and compliant mechanisms, Int. J. Numer. Methods Eng., 57, 1413, 10.1002/nme.783

Rozvany, 1989

Zhou, 2001, On the validity of ESO type methods in topology optimization, Struct. Multidiscip. Optim., 21, 80, 10.1007/s001580050170

Chu, 1996, Evolutionary structural optimization for problems with stiffness constraints, Finite Elem. Anal. Des., 21, 239, 10.1016/0168-874X(95)00043-S

Jog, 1996, Stability of finite element models for distributed-parameter optimization and topology design, Comput. Methods Appl. Mech. Eng., 130, 203, 10.1016/0045-7825(95)00928-0

Li, 2001, A simple checkerboard suppression algorithm for evolutionary structural optimization, Struct. Multidisip. Optim., 22, 230, 10.1007/s001580100140

X. Huang, Y.M. Xie, A new look at ESO and BESO optimization methods, Struct. Multidiscip. Optim. (2007), doi: 10.1007/s00158-007-0140-4.

Sigmund, 2001, A 99 line topology optimization code written in Matlab, Struct. Multidiscip. Optim., 21, 120, 10.1007/s001580050176