SOLUTIONS TO SHAPE AND TOPOLOGY EIGENVALUE OPTIMIZATION PROBLEMS USING A HOMOGENIZATION METHOD

被引：8

作者：

DIAZ, AR ^{[1
]}

KIKUCHI, N ^{[1
]}

机构：

[1] UNIV MICHIGAN,DEPT MECH ENGN & APPL MECH,ANN ARBOR,MI 48109

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 1992年 / 35卷 / 07期

关键词：

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A solution strategy to find the shape and topology of structures that maximize a natural frequency is presented. The methodology is based on a homogenization method and the representation of the shape of the structure as a material property. The problem is formulated as a reinforcement problem in which a given structure is reinforced using a prescribed amount of material. Two dimensional, plane elasticity problems are considered. Examples are presented for illustration.

引用

页码：1487 / 1502

页数：16

共 50 条

[1] A HOMOGENIZATION METHOD FOR SHAPE AND TOPOLOGY OPTIMIZATION
SUZUKI, K
KIKUCHI, N
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1991, 93 (03) : 291 - 318
[2] Shape design by integrating shape optimization with topology optimization for multiobjective structures (An approach using homogenization method and traction method)
Ihara, Hisashi
Shimoda, Masatoshi
Azegami, Hideyuki
Sakurai, Toshiaki
[J]. Nippon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A, 1996, 62 (596): : 1091 - 1097
[3] 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
[4] Shape optimization by the homogenization method
Allaire, G
Bonnetier, E
Francfort, G
Jouve, F
[J]. NUMERISCHE MATHEMATIK, 1997, 76 (01) : 27 - 68
[5] Shape optimization by the homogenization method
Grégoire Allaire
Eric Bonnetier
Gilles Francfort
Francois Jouve
[J]. Numerische Mathematik, 1997, 76 : 27 - 68
[6] 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
[7] Parallelized structural topology optimization for eigenvalue problems
Kim, TS
Kim, JE
Kim, YY
[J]. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2004, 41 (9-10) : 2623 - 2641
[8] Level Set Method for Shape and Topology Optimization of Contact Problems
Myslinski, Andrzej
[J]. SYSTEM MODELING AND OPTIMIZATION, 2009, 312 : 397 - 410
[9] STATIC AND VIBRATIONAL SHAPE AND TOPOLOGY OPTIMIZATION USING HOMOGENIZATION AND MATHEMATICAL-PROGRAMMING
TENEK, LH
HAGIWARA, I
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1993, 109 (1-2) : 143 - 154
[10] BIMODAL SOLUTIONS IN EIGENVALUE OPTIMIZATION PROBLEMS
BRATUS, AS
SEIRANIAN, AP
[J]. PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1983, 47 (04): : 451 - 457

← 1 2 3 4 5 →