Analytical solutions for a uniformly loaded circular plate with clamped edges

INTRODUCTION The problem of circular plates subjected to auniform load is one of the classical problems in elas-ticity theory,which also is encountered frequently inpractice.Timoshenko and Goodier(1970)presented athree-dimensional solution for uniformly loaded iso-tropic circular plates with simply supported edges.Analytical solutions of isotropic circular plates witheither clamped or simply supported edges subjectedto a uniform load,which were derived based on thinplate theory with Kirch…

Analytical solutions for a uniformly loaded circular plate with clamped edges

A bi-harmonic potential function was constructed in this study. Love solution was employed to obtain analytical solutions of uniformly loaded plates with two different types of clamped edges. The treatment of clamped boundary conditions was the same as that adopted by Timoshenko and Goodier (1970). The analytical solution for the first type of clamped boundary condition is identical with that obtained by Luo et al.(2004), and the solutions for both types were compared with the FEM results and the calculations of thin plate theory.