Nonlinear static analysis of circular plates in large deflections

A generalized work-energy method for geometrically nonlinear static analysis of thin isotropic plate is presented. Generalized coordinates in conjunction with polar coordinates are used in formulating the stiffness matrix. By proper interpolation of displacement field on the whole domain, such that the boundry conditions are satisified, a mathematical method based on the Ritz method and von-Karman’s theory, is developed to analyze large deformation of circular plates in nonlinear static loading. The principle of virtual work is exploited to present the weak form of the governing differential equations. The geometric and material tangential stiffness matrices are formed through linearization, and a step by step procedure is presented to complete the method. The validity and accuracy of the method are illustrated through certain numerical examples and comparison of the results with finite element software results. Numerical results are obtained for a circular plate subjected to uniformly distributed load with four different kinds of boundry conditions. The commercial finite element software Ansys10.0 is used for finite element analysis and Matlab software for superelement programs. A very good comparison is observed between two methods.

کلیدواژه ها:

Nonlinear static analysis ، Circular plate ، Ritz Method