A Semi-Analytical Solution of Thick Truncated Cones Using Matched Asymptotic Method and Disk Form Multilayers

• Main Authors: Nejad Mohammad Zamani, Jabbari Mehdi, Ghannad Mehdi
• Format: Article
• Language: English
• Published: Polish Academy of Sciences 2014-12-01
• Series: Archive of Mechanical Engineering
• Online Access: http://www.degruyter.com/view/j/meceng.2014.61.issue-3/meceng-2014-0029/meceng-2014-0029.xml?format=INT

In this article, the thick truncated cone shell is divided into disk-layers form with their thickness corresponding to the thickness of the cone. Due to the existence of shear stress in the truncated cone, the equations governing disk layers are obtained based on first shear deformation theory. These equations are in the form of a set of general differential equations. Given that the truncated cone 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. The results obtained have been compared with those obtained through the analytical solution and the numerical solution. For the purpose of the analytical solution, use has been made of matched asymptotic method (MAM) and for the numerical solution, the finite element method (FEM).