Effects of Disk Flexibility on Shaft Whirl Stability

[+] Author and Article Information
F. J. Wilgen

General Mills, Inc., Minneapolis, Minn. 55427

A. L. Schlack

University of Wisconsin, Madison, Wisc. 53706

J. Mech. Des 101(2), 298-303 (Apr 01, 1979) (6 pages) doi:10.1115/1.3454052 History: Received May 30, 1978; Online October 21, 2010


The effects of disk flexibility on the critical speeds of flexible shaft-disk systems is investigated by the method of Liapunov. The model consists of a flexible, continuous disk rigidly attached at an arbitrary location along a flexible, continuous shaft which is mounted on short, end bearings. Whirl speed stability boundaries are presented as functions of the disk flexibility parameter. These boundaries reduce to the limiting case of a shaft containing a concentrated mass at the point of disk attachment when the disk’s stiffness is very small, and approach the limiting case of an elastic shaft supporting a rigid disk as the stiffness increases.

Copyright © 1979 by ASME
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