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TECHNICAL BRIEFS

Some Results on Axisymmetric Vibration of Spherical Shells of Variable Thickness

[+] Author and Article Information
A. V. Singh

Department of Mechanical Engineering, The University of Western Ontario, London, Ontario, Canada

S. Mirza

Department of Mechanical Engineering, University of Ottawa, Ottawa, Ontario, Canada

J. Pressure Vessel Technol 112(4), 432-437 (Nov 01, 1990) (6 pages) doi:10.1115/1.2929901 History: Received December 01, 1989; Revised July 17, 1990; Online June 17, 2008

Abstract

Natural frequencies and mode shapes are presented for the free axisymmetric vibration of spherical shells with linearly varying thickness along the meridian. Clamped and hinged edges corresponding to opening angles 30, 45, 60 and 90 deg have been considered in this technical brief to cover a wide range from shallow to deep spherical shells. Variations in thickness are seen to have very pronounced effects on the frequencies and mode shapes.

Copyright © 1990 by The American Society of Mechanical Engineers
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