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RESEARCH PAPERS

On Free Vibrations of an Embedded Anisotropic Spherical Shell

[+] Author and Article Information
W. Q. Chen, H. J. Ding

Department of Civil Engineering, Zhejiang University, Hangzhou 310027, P.R. China

J. Pressure Vessel Technol 119(4), 481-487 (Nov 01, 1997) (7 pages) doi:10.1115/1.2842333 History: Received July 17, 1995; Revised August 01, 1997; Online February 11, 2008

Abstract

In this paper, free vibrations of a spherically isotropic spherical shell embedded in an elastic medium of Pasternak type are studied by using a six-mode shell theory that includes effects of shear deformation, rotary inertia, and transverse normal strain. The separable homogeneous solution for displacements and stresses in a deep spherical shell is derived and two classes of vibrations are obtained by the introduction of five auxiliary variables. Numerical results are compared with those predicted by two simpler shell theories mentioned in the paper and those by three-dimensional elastic theory.

Copyright © 1997 by The American Society of Mechanical Engineers
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