Domains of Stability in a Wind-Induced Oscillation Problem

[+] Author and Article Information
P. J. Holmes

Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, N. Y. 14853

J. Appl. Mech 46(3), 672-676 (Sep 01, 1979) (5 pages) doi:10.1115/1.3424625 History: Received October 01, 1978; Revised December 01, 1978; Online July 12, 2010


In two earlier papers, the motion of a structure induced by vortex shedding was investigated for the cases of resonance and order three subharmonic resonance. In both cases classes of unbounded solutions exist and the size and boundary of the domain of stability dividing these from bounded solutions is therefore of great interest. In this paper we show that, for light damping, the domain of stability has an extremely complex boundary due to the presence of heteroclinic orbits. In addition, it may be considerably smaller than might be expected. The method employed is quite general and the conclusions appear significant for a number of other problems in nonlinear oscillations.

Copyright © 1979 by ASME
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