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TECHNICAL PAPERS

Free Vibration Analysis of an Inflated Toroidal Shell

[+] Author and Article Information
Akhilesh K. Jha, Daniel J. Inman

Center for Intelligent Material Systems and Structures, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061-0105

Raymond H. Plaut

Charles E. Via, Jr. Department of Civil and Environmental Engineering, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061-0105

J. Vib. Acoust 124(3), 387-396 (Jun 12, 2002) (10 pages) doi:10.1115/1.1467650 History: Received April 01, 2001; Revised January 01, 2002; Online June 12, 2002
Copyright © 2002 by ASME
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References

Figures

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Geometry of the torus (not to scale): (a) side view (b) section A-A
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Symmetrically and antisymmetrically deformed cross-sections of the torus. Solid lines are the deformed cross-sections and dotted lines are the undeformed cross-sections and axes.
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Mode shapes of the inflated torus
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Mode shapes of the inflated torus
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The first five natural frequencies vs. the aspect ratio of (a) symmetric modes and (b) antisymmetric modes corresponding to n=0
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The first five natural frequencies vs. the aspect ratio of (a) symmetric modes and (b) antisymmetric modes corresponding to n=4
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Effect of the internal pressure on the first ten natural frequencies of the inflated torus
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Effect of the thickness on the first ten natural frequencies of the inflated torus
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Initial stresses, stress and moment resultants, and loads

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