Axisymmetric Stress Analysis of a Thick Conical Shell with Varying Thickness under Nonuniform Internal Pressure
This article has been corrected.
VIEW CORRECTIONPublication: Journal of Engineering Mechanics
Volume 134, Issue 8
Abstract
A mathematical approach based on the perturbation theory has been used for axisymmetric stress analysis of a thick conical shell with varying thickness under nonuniform internal pressure. The equilibrium equations have been derived using the energy principle and considering the second-order shear deformation theory (SSDT), which includes shear deformation effects. This system of ordinary differential equations with variable coefficients has been solved analytically using the matched asymptotic expansion method of the perturbation theory. A comparison of the results with the finite-element method and the first-order shear deformation theory shows that the SSDT can predict the displacements and stresses of the shell for a wide range of thicknesses as well with less calculations than other analytical methods such as the Frobenius series method.
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Acknowledgments
The writers would like to thank Professor K. Suzuki and Dr. M. J. Maghrebi for their kind cooperation.
References
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Published In
Journal of Engineering Mechanics
Volume 134 • Issue 8 • August 2008
Pages: 601 - 610
Copyright
© 2008 ASCE.
History
Received: Aug 24, 2006
Accepted: Jan 28, 2008
Published online: Aug 1, 2008
Published in print: Aug 2008
Notes
Note. Associate Editor: Bojan B. Guzina
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