A HOMOGENIZATION METHOD FOR SHAPE AND TOPOLOGY OPTIMIZATION

被引：617
|
作者：
SUZUKI, K
KIKUCHI, N
机构：
[1] The University of Michigan, Ann Arbor
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1991年 / 93卷 / 03期
关键词：
D O I：
10.1016/0045-7825(91)90245-2
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Shape and topology optimization of a linearly elastic structure is discussed using a modification of the homogenization method introduced by Bendsoe and Kikuchi together with various examples which may justify validity and strength of the present approach for plane structures.
引用
收藏
页码：291 / 318
页数：28
相关论文
共 50 条
  • [1] SOLUTIONS TO SHAPE AND TOPOLOGY EIGENVALUE OPTIMIZATION PROBLEMS USING A HOMOGENIZATION METHOD
    DIAZ, AR
    KIKUCHI, N
    [J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1992, 35 (07) : 1487 - 1502
  • [2] Shape optimization by the homogenization method
    Allaire, G
    Bonnetier, E
    Francfort, G
    Jouve, F
    [J]. NUMERISCHE MATHEMATIK, 1997, 76 (01) : 27 - 68
  • [3] Shape optimization by the homogenization method
    Grégoire Allaire
    Eric Bonnetier
    Gilles Francfort
    Francois Jouve
    [J]. Numerische Mathematik, 1997, 76 : 27 - 68
  • [4] Topology optimization of compliant mechanisms using the homogenization method
    Nishiwaki, S
    Frecker, MI
    Min, SJ
    Kikuchi, N
    [J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1998, 42 (03) : 535 - 559
  • [5] Homogenization Topology Optimization Method Based on Continuous Field
    Zhao, Hongwei
    Long, Kai
    Ma, Z. -D.
    [J]. ADVANCES IN MECHANICAL ENGINEERING, 2010,
  • [6] Topology optimization for minimum stress design with the homogenization method
    Allaire, G
    Jouve, F
    Maillot, H
    [J]. STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2004, 28 (2-3) : 87 - 98
  • [7] Topology optimization for minimum stress design with the homogenization method
    G. Allaire
    F. Jouve
    H. Maillot
    [J]. Structural and Multidisciplinary Optimization, 2004, 28 : 87 - 98
  • [8] A post-treatment of the homogenization method for shape optimization
    Pantz, O.
    Trabelsi, K.
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2008, 47 (03) : 1380 - 1398
  • [9] Topology optimization of modulated and oriented periodic microstructures by the homogenization method
    Allaire, Gregoire
    Geoffroy-Donders, Perle
    Pantz, Olivier
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 78 (07) : 2197 - 2229
  • [10] Topology optimization in magnetic fields using the homogenization design method
    Yoo, J
    Kikuchi, N
    [J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2000, 48 (10) : 1463 - 1479
12345