Stability of the General Plane Membrane Adjacent to a Supersonic Airstream

[+] Author and Article Information
J. A. Walker

Department of Mechanical Engineering and Astronautical Sciences, Northwestern University, Evanston, Ill.

M. W. Dixon

Department of Mechanical Engineering, Clemson University, Clemson, S. C.

J. Appl. Mech 40(2), 395-398 (Jun 01, 1973) (4 pages) doi:10.1115/1.3422993 History: Received April 01, 1972; Online July 12, 2010


The stability of equilibrium of an arbitrarily shaped, multiply connected, nonuniform-density, plane membrane adjacent to a supersonic airstream is studied using the direct method of Liapunov. In the piston theory regime it is found that plane membranes cannot flutter in the absence of structural damping, regardless of shape or mass distribution. Linear and nonlinear structural damping are then studied and the possibility of destabilization by damping is noted. Means of extending the present analysis to cover the effects of small nonlinearities and time-varying parameters are also discussed.

Copyright © 1973 by ASME
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