Vibrations of Solid Cylinders

[+] Author and Article Information
J. R. Hutchinson

Department of Civil Engineering, University of California, Davis, Calif. 95616

J. Appl. Mech 47(4), 901-907 (Dec 01, 1980) (7 pages) doi:10.1115/1.3153811 History: Received November 01, 1979; Revised May 01, 1980; Online July 21, 2009


A series solution of the general three-dimensional equations of linear elasticity is developed and used to find accurate natural frequencies for the vibrations of solid elastic cylinders with traction-free surfaces. The series solution is found to converge to accurate frequencies with the use of very few terms. Results are given for height-to-diameter ratios from zero to two and a frequency parameter ωR/Cs from zero to five and for modes of circumferential order from zero to four. Comparisons of these analytical results with previous experimental results shows excellent agreement.

Copyright © 1980 by ASME
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