Nonlinear Analysis of Cylindrical Shells with Varying Thickness and Moderately Large Deformation under Nonuniform Compressive Pressure Using the First-Order Shear Deformation Theory

摘要

In this paper, the displacements of a cylindrical shell with varying thickness and subjected to axial and external pressure are calculated analytically using the first-order shear deformation theory. The kinematics of the problem is defined by von Karman theory, and the constitutive equation obeys Hooke's law. The governing equations, which are a system of nonlinear differential equations, are extracted by applying the virtual work principle; the matched asymptotic expansion method of the perturbation technique is used to calculate the analytical solution. The effects of different load profiles and thicknesses on the results are investigated. Also, a comparison with the FEM is performed. (C) 2014 American Society of Civil Engineers.