Optimal shape of a heavy compressed column

被引：11

作者：

Atanackovic, TM ^{[1
]}

Glavardanov, VB ^{[1
]}

机构：

[1] Univ Novi Sad, Fac Tech Sci, Dept Mech Engn, YU-21121 Novi Sad, Serbia and Mont, Serbia

来源：

STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION | 2004年 / 28卷 / 06期

关键词：

optimal shape; Pontryagin's principle;

D O I：

10.1007/s00158-004-0457-1

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

By using Pontryagin's maximum principle we determine the shape of a heavy compressed rod, stable against buckling. It is assumed that the eigenvalue pair corresponding to the optimal rod is simple. With this assumption (unimodal optimization) it is shown that the cross-sectional area function is determined from the solution of a nonlinear boundary value problem. A variational principle for this boundary value problem is formulated and two first integrals are constructed. The optimal shape of a rod is determined by numerical integration.

引用

页码：388 / 396

页数：9

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