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

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...

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Bibliographic Details
Published in:TheScientificWorld 2014-01, Vol.2014 (2014), p.1-10
Main Authors: Zamani Nejad, Mohammad, Ghannad, Mehdi, Jabbari, Mehdi
Format: Article
Language:English
Subjects:
Algorithms
Boundaries
Boundary conditions
Differential equations
Elasticity
Finite element analysis
Mechanical engineering
Mechanical properties
Models, Theoretical
Pressure vessels
Shear strain
Shear stress
Shells
Solutions
Vibration analysis
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Summary: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.
ISSN:2356-6140
1537-744X
1537-744X
DOI:10.1155/2014/932743