On the Stability of Some Continuous Systems Subjected to Random Excitation

[+] Author and Article Information
R. H. Plaut, E. F. Infante

Center for Dynamical Systems, Division of Applied Mathematics, Brown University, Providence, R. I.

J. Appl. Mech 37(3), 623-628 (Sep 01, 1970) (6 pages) doi:10.1115/1.3408590 History: Received March 11, 1969; Online July 12, 2010


A method for the determination of sufficient conditions for the almost-sure stability of some continuous systems of physical interest is presented. The motions of the systems under consideration are assumed to be described by linear partial-differential equations with time-varying coefficients of a random nature. The method presented, which is of a rather general form, is restricted for the sake of simplicity and ease of computations and is applied to problems of elastic columns and plates, a cantilever beam subjected to a random follower force, and a string excited by a pressure-type random force. The emphasis both in the computations and in the nature of the method is on simplicity of computations and in the determination of stability conditions with a minimum of assumptions.

Copyright © 1970 by ASME
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