Nonlinear Forced Oscillations Caused by Quartic Nonlinearity in a Rotating Shaft System

[+] Author and Article Information
Y. Ishida, T. Ikeda

Department of Electronic-Mechanical Engineering, School of Engineering, Nagoya University, Nagoya, Japan

T. Yamamoto

Faculty of Science and Technology, Meijo University, Nagoya, Japan

J. Vib. Acoust 112(3), 288-297 (Jul 01, 1990) (10 pages) doi:10.1115/1.2930507 History: Received June 01, 1986; Online June 17, 2008


This paper deals with nonlinear forced oscillations in a rotating shaft system which are caused by quartic nonlinearity in a restoring force. These oscillations are theoretically analyzed by paying attention to the nonlinear components represented by the polar coordinates. It is clarified which kind of nonlinear component has an influence on each oscillation. In experiments it was shown that, when the shaft was supported by double-row angular contact ball bearings, the restoring force had nonlinear spring characteristics involving quartic nonlinearity in addition to quadratic and cubic ones. Experimental results were compared with the theoretical results regarding the probability of occurrence and the shapes of the resonance curves.

Copyright © 1990 by The American Society of Mechanical Engineers
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