Buckling and postbuckling analysis of rectangular plates resting on elastic foundations with the use of the spectral method

被引：11

作者：

Muradova, Aliki D. ^{[1
]}

Stavroulakis, Georgios E. ^{[1
]}

机构：

[1] Tech Univ Crete, Dept Prod Engn & Management, GR-73100 Khania, Greece

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2012年 / 205卷

关键词：

Buckling; Unilateral contact; von Karman problem; Nonlinear elastic foundation; Spectral method; BEHAVIOR;

D O I：

10.1016/j.cma.2011.02.013

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Buckling and contact effects for a von Karman's plate, unilaterally connected with a nonlinear elastic tensionless foundation are investigated. The foundation is modeled as nonlinear elastic (Winkler-type) and shear deformable (Pasternak-type) medium. Compressive and tensile loading forces along the edges of the plate are considered. The spectral method is developed for the discretization of the boundary value problems. A parametric analysis of compressive and tensile loadings is given. Bifurcation phenomena of the solution of the equations are explored. The iterative scheme with the path-following algorithm is employed to solve the resulting system of nonlinear algebraic equations. Numerical results are presented. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：213 / 220

页数：8

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