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RESEARCH PAPERS

Vibration of Circular Rings With Local Deviation

[+] Author and Article Information
Jin Sun Hong

Department of Precision Mechanical Engineering, Kangnung National University, Kangnung-si, Kangwondo 210702, Korea

Jang Moo Lee

Department of Mechanical Design and Production Engineering, Seoul National University, Kwanak-ku, Seoul 151 Korea

J. Appl. Mech 61(2), 317-322 (Jun 01, 1994) (6 pages) doi:10.1115/1.2901447 History: Revised January 15, 1993; Received June 02, 1994; Online March 31, 2008

Abstract

An analytical method is presented for predicting the effects of local deviations such as a point mass, a sharp decrease in stiffness and variation of thickness on the free in-plane bending vibration characteristics of nearly axisymmetric rings. The approach is based on the Laplace transformation method and the expression of local deviation as the variation of heaviside unit step function. The effects of local deviation on the natural frequencies and mode shapes of the rings are predicted for the proposed nondimensional mass and stiffness parameters. The validity of the approach was examined through modal testings and/or finite element computation.

Copyright © 1994 by The American Society of Mechanical Engineers
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