Vibration Frequencies of Tapered Bars and Circular Plates

[+] Author and Article Information
H. D. Conway

Cornell University, Ithaca, N. Y.; IBM Corporation

E. C. H. Becker, J. F. Dubil

General Products Division, Development Laboratory, IBM Corporation, Endicott, N. Y.

J. Appl. Mech 31(2), 329-331 (Jun 01, 1964) (3 pages) doi:10.1115/1.3629606 History: Received August 12, 1963; Online September 15, 2011


Calculations are made of the values of the transverse vibrationa resonant frequencies for truncated-cone cantilever beams for a number of geometries, the boundary conditions being clamped/free, clamped/simply supported, and clamped/clamped. After noting an analogy which exists between the free vibration of cones and linearly tapered plates for the special case when Poisson’s ratio = 1/3, data are also given for the resonant axisymmetrical frequencies of clamped tapered circular plates. Some data for partially tapered plates are also computed. Aside from their value for design purposes, these data can be used as test cases for assessing the accuracy of various approximate methods of solution.

Copyright © 1964 by ASME
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