The Elastic Stability of Two-Parameter Nonconservative Systems

[+] Author and Article Information
K. Huseyin

Solid Mechanics Division, University of Waterloo, Waterloo, Ontario, Canada

R. H. Plaut

Department of Applied Mathematics and Engineering (Research), Division of Engineering, Brown University, Providence, R. I.

J. Appl. Mech 40(1), 175-180 (Mar 01, 1973) (6 pages) doi:10.1115/1.3422920 History: Received August 01, 1971; Revised February 01, 1972; Online July 12, 2010


The stability of a linear, elastic, circulatory system with two independent loading parameters is studied in general terms. The basic properties of the stability boundary are investigated and several theorems are established. It is shown that for a two-degree-of-freedom system which is capable of flutter instability the stability boundary is always convex toward the region of stability, in direct contrast with systems which cannot exhibit flutter. The practical significance of this result in obtaining lower and upper-bound estimates of the stability boundary is emphasized, and three illustrative examples are presented.

Copyright © 1973 by ASME
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