On the Destabilizing Effect of Damping in Nonconservative Elastic Systems

[+] Author and Article Information
G. Herrmann

The Technological Institute, Northwestern University, Evanston, Ill.

Ing-Chang Jong

Department of Civil Engineering, The Technological Institute, Northwestern University, Evanston, Ill.

J. Appl. Mech 32(3), 592-597 (Sep 01, 1965) (6 pages) doi:10.1115/1.3627264 History: Received October 30, 1964; Revised February 04, 1965; Online September 15, 2011


The destabilizing effect of linear viscous damping in a nonconservative elastic system is investigated by studying the roots of the characteristic equation in addition to the stability criteria and by introducing the concept of degree of instability. A generic relationship between critical loadings for no damping and for slight damping as well as vanishing damping is established. It is found that while the presence of small damping may have a destabilizing effect, proper interpretation of the limiting process of vanishing damping leads to the same critical load as for no damping.

Copyright © 1965 by ASME
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