On the Instability of Rotating Shafts Due to Internal Damping

[+] Author and Article Information
L. L. Bucciarelli

School of Engineering, Massachusetts Institute of Technology, Cambridge, Mass. 02139

J. Appl. Mech 49(2), 425-428 (Jun 01, 1982) (4 pages) doi:10.1115/1.3162104 History: Received March 01, 1981; Revised October 01, 1981; Online July 21, 2009


Internal damping in rotating shafts can lead to dynamic instability — the unbounded growth over time of the off-axis displacement of the spinning shaft in whirl. In analyzing this phenomenon, some authors have phrased the instability criterion in terms of energies dissipated through internal and external damping. One such study has claimed that instability ensues when the rate of work done by internal damping equals that done by external damping. This analysis shows that this criterion is wrong and explains why it fails. It also provides a clear picture of how internal forces can act to produce instability by coupling the motion of spin with motion in whirl.

Copyright © 1982 by ASME
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