Self-Excited Vibration in Flexible Rotating Disks Subjected to Various Transverse Interactive Forces: A General Approach

[+] Author and Article Information
J. Tian, S. G. Hutton

Department of Mechanical Engineering, The University of British Columbia, Vancouver, BC V6T 1Z4, Canada

J. Appl. Mech 66(3), 800-805 (Sep 01, 1999) (6 pages) doi:10.1115/1.2791758 History: Received October 09, 1998; Revised April 29, 1999; Online October 25, 2007


A generalized approach to predict the physical instability mechanisms that are involved in the interaction between a rotating flexible disk and a stationary constraining system is developed. Based upon equations derived for an energy flux analysis, unified instability conditions for various lateral interactive forces are presented. These developments lead to a clear understanding of the physical mechanisms involved in the development of vibrational instabilities. New developments also involve the stability analysis of a rotating disk subjected to multiple moving concentrated regenerative and follower interactive forces that act over a space-fixed sector. The lateral regenerative interactive forces that are responsible for self-excited vibrations in saw-blade cutting are identified and modeled. The generalized Fourier series method is proposed to develop a characteristic equation for time-varying dynamic systems with or without time lag. The resulting equation can be solved efficiently by using Müller’s algorithm with deflation.

Copyright © 1999 by The American Society of Mechanical Engineers
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