Nonlinear Behavior of Flutter Unstable Dynamical Systems With Gyroscopic and Circulatory Forces

[+] Author and Article Information
P. R. Sethna, S. M. Schapiro

Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, Minn.

J. Appl. Mech 44(4), 755-762 (Dec 01, 1977) (8 pages) doi:10.1115/1.3424168 History: Received March 01, 1977; Revised June 01, 1977; Online July 12, 2010


Postflutter behavior of nonlinear discrete dynamical systems having a combination of gyroscopic and circulatory forces are studied. The study leads to Hopf bifurcations. The method of analysis is based on the method of Hopf and the method of integral manifolds. The results of the analysis are applied to an example and the accuracy of the analysis is checked against numerical solutions of the equations of motion.

Copyright © 1977 by ASME
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