Buckling Analysis of Functionally Graded Annular Spherical Shells and Segments Subjected to Mechanic loads

Abstract

An analytical approach is presented to investigatethe buckling of functionally graded annular spherical segments subjected to compressiveload and radial pressure. Based on the classical thin shell theory, the governing equations of functionally graded annular spherical segments are derived. Approximate solutions are assumed to satisfy the simply supported boundary condition of segments and Galerkin method is applied to obtain closed-form relations of bifurcation type of buckling loads. Numerical results are given to evaluate effects of inhomogeneous and dimensional parameters to the buckling of structure