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TECHNICAL PAPERS

Vibration of Thick Circular Disks and Shells of Revolution

[+] Author and Article Information
A. V. Singh, L. Subramaniam

Department of Mechanical and Materials Engineering, The University of Western Ontario, London, ON N6A 5B9, Canada

J. Appl. Mech 70(2), 292-298 (Mar 27, 2003) (7 pages) doi:10.1115/1.1544542 History: Received June 24, 1999; Revised August 29, 2002; Online March 27, 2003
Copyright © 2003 by ASME
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References

Figures

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Cross section of a solid of revolution
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Frequency Ω versus thickness ratio h/a for a conical shell free at the top opening and clamped at the bottom. Parameters used are cone angle α=30 deg, L/a=1.0 and ν=0.30.
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Frequency Ω versus thickness ratio h/a for a spherical shell clamped at the open end. Parameters used are ϕ1=0 deg,ϕ2=60 deg, and ν=0.30.
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Area to be revolved around z-axis to form a variable thickness circular disk
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Representation of a thick conical shell
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Representation of a thick spherical shell
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Convergence study for a conical shell clamped at the lower open end
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Frequency Ω versus thickness ratio h2/a for a clampedfree tapered disk. Parameters used are b/a=0.0,h1/a=0.50 and ν=0.30.

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