Optimal shape of an elastic column on elastic foundation

被引：20
|
作者：
Atanackovic, TM [1 ]
Novakovic, BN [1 ]
机构：
[1] Univ Novi Sad, Fac Tech Sci, Novi Sad 21000, Serbia Monteneg
来源：
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS | 2006年 / 25卷 / 01期
关键词：
optimal shape; elastic foundation;
D O I：
10.1016/j.euromechsol.2005.06.008
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
By using Pontryagin's maximum principle we determine the shape of an elastic compressed column on elastic, Winkler type foundation. We assume that the column has clamped ends. The optimality conditions for the case of bimodal optimization are derived. It is shown that the optimal cross-sectional area function is determined from the solution of a nonlinear boundary value problem. In the special case of a compressed column with no foundation, the optimality condition and the solution obtained earlier are recovered. (c) 2005 Elsevier SAS. All rights reserved.
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页码：154 / 165
页数：12
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