An evolutionary method for optimization of plate buckling resistance

被引:52
作者
Manickarajah, D
Xie, YM
Steven, GP
机构
[1] Victoria Univ Technol, Dept Civil & Bldg Engn, Melbourne, Vic 8001, Australia
[2] Univ Sydney, Dept Aeronaut Engn, Sydney, NSW 2006, Australia
关键词
optimum design; buckling resistance; Eigenvalue; bimodal; multimodal; sensitivity number; plate structures;
D O I
10.1016/S0168-874X(98)00012-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Optimization of plate buckling resistance is very complicated, because the in-plane stress resultants in the prebuckled state of a plate are functions of thickness distribution. This paper discusses the problem of finding the optimum thickness distribution of isotropic plate structures, with a given volume and layout, that would maximise the buckling load. A simple numerical method using the finite-element analysis is presented to obtain the optimum thickness distribution. Optimum designs of compression-loaded rectangular plates with different boundary conditions and plate aspect ratios are obtained by using the proposed method. Optimum designs from earlier studies and the methods of buckling analysis used to attain these results are discussed and compared with the designs from the proposed method. This paper also examines the reliability of the optimality criterion generally used for plate buckling optimization, which is based on the uniform strain energy density. (C) 1998 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:205 / 230
页数:26
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