Analytical solution for buckling analysis of cylinders with varying thickness subjected to combined axial and radial loads

Abstract

Abstract An analytical procedure has been proposed for buckling analysis of elastic cylindrical shells with varying thickness under combined axial and radial loads by considering the first-order shear deformation theory as the displacement filed. The kinematics of the problem is defined by the von-Karman relations, and the constitutive equation obeys Hooke s law. The equilibrium equations are a system of nonlinear coupled differential equations with variable coefficients and the corresponding stability equations which are a linear system with varying coefficients are solved to find the eigenvalues of the system. The results are compared with the finite element method and some other references.