A Semi-Analytical Solution of Thick Truncated Cones Using Matched Asymptotic Method and Disk Form Multilayers
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. Thes...
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Polish Academy of Sciences
2014-12-01
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doaj-a45b3149a69f4ae498933ac70ee893122020-11-25T03:12:09ZengPolish Academy of SciencesArchive of Mechanical Engineering 2300-18952014-12-0161349551310.2478/meceng-2014-0029meceng-2014-0029A Semi-Analytical Solution of Thick Truncated Cones Using Matched Asymptotic Method and Disk Form MultilayersNejad Mohammad Zamani0Jabbari Mehdi1Ghannad Mehdi2 Mechanical Engineering Department, Yasouj University, P. O. Box: 75914-353, Yasouj, Iran Mechanical Engineering Faculty, Shahrood University of Technology, Shahrood, Iran Mechanical Engineering Faculty, Shahrood University of Technology, Shahrood, IranIn 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).http://www.degruyter.com/view/j/meceng.2014.61.issue-3/meceng-2014-0029/meceng-2014-0029.xml?format=INT |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Nejad Mohammad Zamani Jabbari Mehdi Ghannad Mehdi |
spellingShingle |
Nejad Mohammad Zamani Jabbari Mehdi Ghannad Mehdi A Semi-Analytical Solution of Thick Truncated Cones Using Matched Asymptotic Method and Disk Form Multilayers Archive of Mechanical Engineering |
author_facet |
Nejad Mohammad Zamani Jabbari Mehdi Ghannad Mehdi |
author_sort |
Nejad Mohammad Zamani |
title |
A Semi-Analytical Solution of Thick Truncated Cones Using Matched Asymptotic Method and Disk Form Multilayers |
title_short |
A Semi-Analytical Solution of Thick Truncated Cones Using Matched Asymptotic Method and Disk Form Multilayers |
title_full |
A Semi-Analytical Solution of Thick Truncated Cones Using Matched Asymptotic Method and Disk Form Multilayers |
title_fullStr |
A Semi-Analytical Solution of Thick Truncated Cones Using Matched Asymptotic Method and Disk Form Multilayers |
title_full_unstemmed |
A Semi-Analytical Solution of Thick Truncated Cones Using Matched Asymptotic Method and Disk Form Multilayers |
title_sort |
semi-analytical solution of thick truncated cones using matched asymptotic method and disk form multilayers |
publisher |
Polish Academy of Sciences |
series |
Archive of Mechanical Engineering |
issn |
2300-1895 |
publishDate |
2014-12-01 |
description |
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). |
url |
http://www.degruyter.com/view/j/meceng.2014.61.issue-3/meceng-2014-0029/meceng-2014-0029.xml?format=INT |
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