DETERMINATION OF DISPLACEMENTS AND STRESSES IN PRESSURIZED THICK CYLINDRICAL SHELLS WITH VARIABLE THICKNESS USING PERTURBATION TECHNIQUE

Abstract

This article presents a closed form analytical solution for clamped-clamped thick cylindrical shells with variable thickness subjected to constant internal pressure. Regarding the problem which could not be solved through plane elasticity theory (PET), the solution based on the first-order shear deformation theory (FSDT) is suggested. Based FSDT on, and the virtual work principle, the differential equations governing axisymmetric thick cylindrical shells with variable thickness 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 technique, these equations could be converted into a system of algebraic equations with variable coefficients and two systems of differential equations with constant coefficients.

DOI: http://dx.doi.org/10.5755/j01.mech.18.1.1274