On the Significance of a Type of Divergence

[+] Author and Article Information
C. Oran

Department of Civil Engineering, University of Missouri, Columbia, Mo.

J. Appl. Mech 39(1), 263-265 (Mar 01, 1972) (3 pages) doi:10.1115/1.3422624 History: Received October 02, 1970; Online July 12, 2010


In linearized elastic systems subjected to nonconservative forces, the onset of divergence is characterized either by a vanishing frequency, or an infinitely large one. The former type of instability is equivalent to the so-called Euler buckling, and its implications are well known. Examined herein are the conditions that are responsible for the occurrence of the latter type of behavior. With reference to a selected class of problems, it is shown that an infinitely large frequency is caused by a difference between the numbers of dynamic and static degrees of freedom of the system “as idealized for analytical purposes.”

Copyright © 1972 by ASME
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