Elastic solution of axisymmetric thick truncated conical shells based on first-order shear deformation theory

Abstract

In this paper, based on first-order shear deforma-tion theory (FSDT), and the virtual work principle, the differential equations governing axisymmetric thick trun-cated conical shells have been derived. The governing equations are a system of ordinary differential equations with variable coefficients. Using the matched asymptotic method (MAM) of the perturbation theory, these equations could be converted into a system of algebraic equations and two systems of differential equations with constant coefficients. The derived systems of equations have closed form solutions. For different conical angles, displacements and stresses along the radius and length have been plotted.