Optimal design of an elastic beam with a unilateral elastic foundation: Semicoercive state problem

被引：0
|
作者：
Roman Šimeček
机构：
[1] Palacký University,Faculty of Science, Dept. of Mathematical Analysis and Applications of Mathematics
来源：
Applications of Mathematics | 2013年 / 58卷
关键词：
shape optimization; semicoercive beam problem; unilateral foundation; 49K15; 49J15; 65K10; 74B99; 74K10; 74P05;
D O I：
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学科分类号：
摘要：
A design optimization problem for an elastic beam with a unilateral elastic foundation is analyzed. Euler-Bernoulli’s model for the beam and Winkler’s model for the foundation are considered. The state problem is represented by a nonlinear semicoercive problem of 4th order with mixed boundary conditions. The thickness of the beam and the stiffness of the foundation are optimized with respect to a cost functional. We establish solvability conditions for the state problem and study the existence of a solution to the optimization problem.
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页码：329 / 346
页数：17
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