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The Scientific World Journal
Volume 2014 (2014), Article ID 932743, 10 pages
Research Article

A Semi-Analytical Solution for Elastic Analysis of Rotating Thick Cylindrical Shells with Variable Thickness Using Disk Form Multilayers

1Mechanical Engineering Department, Yasouj University, P.O. Box 75914-353, Yasouj, Iran
2Mechanical Engineering Faculty, Shahrood University of Technology, Shahrood, Iran

Received 4 August 2013; Accepted 24 September 2013; Published 17 February 2014

Academic Editors: L. Nobile and X. Wu

Copyright © 2014 Mohammad Zamani Nejad et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Using disk form multilayers, a semi-analytical solution has been derived for determination of displacements and stresses in a rotating cylindrical shell with variable thickness under uniform pressure. The thick cylinder is divided into disk form layers form with their thickness corresponding to the thickness of the cylinder. Due to the existence of shear stress in the thick cylindrical shell with variable thickness, the equations governing disk layers are obtained based on first-order shear deformation theory (FSDT). These equations are in the form of a set of general differential equations. Given that the cylinder is divided into n disks, n sets of differential equations are obtained. The solution of this set of equations, applying the boundary conditions and continuity conditions between the layers, yields displacements and stresses. A numerical solution using finite element method (FEM) is also presented and good agreement was found.