Abstract
A three-dimensional (3-D) method of analysis developed in a companion paper [A. W. Leissa and J. So, J. Acoust Soc. Am. 98, 2122–2135 (1995)] is used to obtain free-vibration frequencies of completely free-elastic cylinders. Extensive, accurate data are presented for the first 20 frequencies of each circumferential wave number 0–5 for free–free cylinders having length-to-diameter ratios (L/D) of 1, 1.5, 2, 3, and 5 with a Poisson’s ratio (ν) of 0.3. An additional study for L/D=1 over the full range (0≤ν<0.5) possible for isotropic materials shows that Poisson’s ratio effects can be quite important. The first known values of frequencies from 3-D analysis of cylinders having one end fixed, with all other boundaries free, are also presented in considerable detail. For free–free cylinders, comparisons are made with less accurate 3-D results published previously by other researchers.
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