Analysis of Post Buckling Behavior of Circular Plates under Uniform Loading Using Rayleigh - Ritz Method

This paper is intended to analyse the post buckling behavior of annular plate under the effects of symmetric uniform loading using Rayleigh-Ritz method. This is done first by formulating the problem in large defection using Von-Karman nonlinear theory. The geometry in natural coordinate system using the correct and useful mapping and the development of displacement fields in natural coordinate system using Hierarchic, Hermitian and Lagrange shape functions respectively in interpolation of out-of-plane and in-plane displacement field of plates are also considered. Finally, we deal with thepresentation of a proper Hookian displacement field for controlling post buckling behavior of circular plates. To solve the problems, this methid enjoys a number of advantages including continuity in stress and strain, few numbers of degree of freedom and application of bounder easy conditions.,