RESEARCH PAPERS: Vibration and Sound

Critical Spin Rate of Rotating Beams by Liapunov’s Direct Method

[+] Author and Article Information
D. C. Kammer

Structural Dynamics Research Corporation, San Diego, CA 92121

A. L. Schlack

Department of Engineering Mechanics, University of Wisconsin—Madison, Madison, WI 53706

J. Vib., Acoust., Stress, and Reliab 108(4), 389-393 (Oct 01, 1986) (5 pages) doi:10.1115/1.3269360 History: Received June 20, 1986; Online November 23, 2009


The in-plane and out-of-plane buckling of a beam subjected to axial loads due to steady rotation are investigated for various boundary conditions. The critical spin rate which will cause the beam to buckle is derived as a function of system parameters using Liapunov’s direct method. A significant advantage is offered by this method in that the equations of motion do not have to be solved in order to determine stability. Results are compared with those found in the literature.

Copyright © 1986 by ASME
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