Optimal shape of an elastic rod in flexural - torsional buckling

被引：8
|
作者：
Atanackovic, T. M. [1 ]
机构：
[1] Univ Novi Sad, Fac Tech Sci, Novi Sad 21000, Serbia
来源：
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2007年 / 87卷 / 06期
关键词：
optimal shape; lateral buckling;
D O I：
10.1002/zamm.200610323
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Optimal shape of an elastic rod subjected to flexural-torsional buckling is studied. The rod with constant-cross section is the strongest rod for the case when a rod is subjected to equal end moments only. For the case when the rod is loaded with compressive force and the moment, optimal shape is determined by numerical integration for several values of parameters. In deriving the optimality conditions, the Pontriyagin's principle was used. (c) 2007 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
引用
收藏
页码：399 / 405
页数：7
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