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：

暂无

中图分类号：

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.

引用

页码：329 / 346

页数：17

共 50 条

[1] Optimal design of an elastic beam with a unilateral elastic foundation: Semicoercive state problem
Simecek, Roman
APPLICATIONS OF MATHEMATICS, 2013, 58 (03) : 329 - 346
[2] OPTIMAL-DESIGN OF AN ELASTIC OR ELASTOPLASTIC BEAM WITH UNILATERAL ELASTIC-FOUNDATION AND RIGID SUPPORTS
HLAVACEK, I
LOVISEK, J
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1992, 72 (01): : 29 - 43
[3] Optimal design of an elastic circular plate on a unilateral elastic foundation. I: Continuous problems
Salac, P
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2002, 82 (01): : 21 - 32
[4] Optimal design of an elastic circular plate on a unilateral elastic foundation. II: Approximate problems
Salac, P
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2002, 82 (01): : 33 - 42
[5] Optimal control problem of a nonhomogeneous viscoelastic reinforced plate with unilateral Winkler elastic foundation
Lovísek, J
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2002, 82 (09): : 599 - 617
[6] Optimal control of a variational inequality with application to equilibrium problem of an elastic nonhomogeneous and anisotropic plate resting on unilateral elastic foundation
Lovisek, J
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 1998, 11 (02) : 137 - 175
[7] Optimal Control of a Variational Inequality with Application to Equilibrium Problem of an Elastic Nonhomogeneous and Anisotropic Plate Resting on Unilateral Elastic Foundation
Ján Lovíšek
Computational Optimization and Applications, 1998, 11 : 137 - 175
[8] Optimal control of a variational inequality with application to equilibrium problem of an elastic nonhomogeneous and anisotropic plate resting on unilateral elastic foundation
Slovak Technical University, Radlinskeno 11, 81368 Bratislave, Slovakia
Comput Optim Appl, 2 (137-175):
[9] FREE AND FORCED BEAM VIBRATIONS ON A UNILATERAL ELASTIC-FOUNDATION
NOVICHKOV, YN
GRISHIN, DA
SOVIET APPLIED MECHANICS, 1988, 24 (03): : 288 - 294
[10] Optimal design of elastic foundation of forging hammer
Chen, Chang-Zheng
Yang, Xin
Shenyang Gongye Daxue Xuebao/Journal of Shenyang University of Technology, 2009, 31 (05): : 540 - 543

← 1 2 3 4 5 →