A Vibrational Mode Analysis of Free Finite-Length Thick Cylinders Using the Finite Element Method

[+] Author and Article Information
Huan Wang, Keith Williams

Department of Mechanical Engineering, University of Saskatchewan, Saskatoon, Saskatchewan, Canada S7N 5A9

Wei Guan

National Research Council, Institute for Research in Construction Structures Laboratory, Ottawa, Ontario Canada K1A 0R6

J. Vib. Acoust 120(2), 371-377 (Apr 01, 1998) (7 pages) doi:10.1115/1.2893840 History: Received February 01, 1996; Online February 26, 2008


Based on their three-dimensional mode shapes, the vibrational modes of free finite length thick cylinders can be classified into 6 categories, consisting of pure radial, radial motion with radial shearing, extensional, circumferential, axial bending, and global modes. This classification, together with the numbers of both the circumferential and the longitudinal nodes, is sufficient to identify each mode of a finite length thick cylinder. The mode classification was verified experimentally by measurements on a thick cylinder. According to the displacement distribution ratio in the radial, tangential and longitudinal directions, the effect of varying cylinder length on the vibrational modes is such that all the modes can be broadly categorized as either pure radial modes, or non pure radial modes. The natural frequencies and mode shapes of the former are dependent upon only the radial dimensions of the models, while the natural frequencies and mode shapes of the latter are dependent upon both the axial length and radial thickness.

Copyright © 1998 by The American Society of Mechanical Engineers
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