Research Article
Oct 1971
Torsional Vibrations of Conical Frustum
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VIEW THE REPLYAuthors: Surendra R. Shah, AM.ASCE, and David J. McGillAuthor Affiliations
Publication: Journal of the Engineering Mechanics Division
Volume 97, Issue 5
Abstract
This paper examines the effect of conicity, cone thickness, and cone completeness on the free axisymmetric torsional vibrations of a thick, hollowed, conical frustum cantilevered at the small end. The solutions for eigenfrequencies and eigenmodes are obtained by finite difference approximations of the governing basic equation of elastic motion, written in terms of a set of orthogonal conical coordinates. For a cone angle of 180°, the results agree with known frequencies for the case of an annular circular plate fixed along the inner radius and free along the outer radius. The results show that the frequencies increase with an increase in conicity, this rate being greater for thick cones than for thin cones. The effect of an increase in thickness is to decrease the eigenfrequencies. The frequencies, as expected, are found to decrease as the cone approaches completeness, and this effect is very strong. In fact, in comparison the dependence of frequency upon thickness and conicity is slight.
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Published In
Journal of the Engineering Mechanics Division
Volume 97 • Issue 5 • October 1971
Pages: 1521 - 1532
Copyright
© 1971 American Society of Civil Engineers.
History
Published in print: Oct 1971
Published online: Feb 3, 2021
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Surendra R. Shah, AM.ASCE
Sr. Structure s Engr., Lockheed-Georgia Co., Marietta, Ga
David J. McGill
Assoc. Prof., School of Engrg., Science and Mechanics, Georgia Institute of Technology, Atlanta, Ga
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.