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An elastic analysis for thick cylindrical pressure vessels with variable thickness

This paper derives a semi-analytical solution to determine displacements and stresses in a thick cylindrical shell with variable thickness under uniform pressure based on disk form multilayers. The proposed study partitions the thick cylinder into disk-layer parts based on their thickness of the cylinder. | An elastic analysis for thick cylindrical pressure vessels with variable thickness Engineering Solid Mechanics 3 2015 117-130 Contents lists available at GrowingScience Engineering Solid Mechanics homepage www.GrowingScience.com esm An elastic analysis for thick cylindrical pressure vessels with variable thickness Mehdi Ghannada Mehdi Jabbarib and Mohammad Zamani Nejadb a Mechanical Mechanical Engineering Faculty Shahrood University Shahrood Iran b Mechanical Engineering Department Yasouj University Yasouj Iran ARTICLE INFO ABSTRACT Article history This paper derives a semi-analytical solution to determine displacements and stresses in a thick Received October 6 2014 cylindrical shell with variable thickness under uniform pressure based on disk form Accepted 28 January 2015 multilayers. The proposed study partitions the thick cylinder into disk-layer parts based on their Available online thickness of the cylinder. According to the existence of shear stress in the thick cylindrical 29 January 2015 shell with variable thickness the equations governing disk layers are acquired based on first Keywords Thick cylindrical shell with shear deformation theory FSDT which are in the form of a set of general differential variable thickness equations. In this study the cylinder is partitioned into n different disks and n sets of differential Disk form multilayers equations are derived. The solution of these equations provides displacements and stresses Matched asymptotic method based on the boundary conditions and continuity conditions between the layers. The results are Finite element method compared with those obtained through the analytical solution and the numerical solution. For the purpose of the analytical solution matched asymptotic method MAM and for the analytical solution the finite element method FEM are implemented. 2015 Growing Science Ltd. All rights reserved. 1. Introduction Thick cylindrical shells with variable thickness have extensively been used in various