Non-Linear Stability of Conical Shell Structures Including a Functionally Graded Core

Abstract

In this study, the non-linear stability of three-layered conical shells with functionally graded core have not been investigated previously. The purpose of this paper is to study this problem. The large deection theory with von KarmanDonnell-type of kinematic non-linearity is used to deduce the basic equations. The basic equations are solved analytically by using superposition and Galerkin methods. The inuences of several parameters on the dimensionless non-linear critical axial loads are discussed.