Pipes Supported at Both Ends Cannot Flutter

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

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

J. Appl. Mech 45(3), 619-622 (Sep 01, 1978) (4 pages) doi:10.1115/1.3424371 History: Received January 01, 1978; Online July 12, 2010


We use a development of Liapunov’s second method to study the local and global stability of the equilibrium positions adopted by a pipe conveying fluid. The pipe is simply supported at both ends and the analysis includes first-order (structural) nonlinearities. The major conclusion is that, contrary to the suggestions of linear analyses and of recent nonlinear numerical studies, sustained flutter motions are impossible in the case of the equation studied here.

Copyright © 1978 by ASME
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