Frequency-Dependent Almost Sure Stability Conditions for a Parametrically Excited Random Vibrational System

[+] Author and Article Information
A. H. Gray

Department of Electrical Engineering, University of California, Santa Barbara, Calif.

J. Appl. Mech 34(4), 1017-1019 (Dec 01, 1967) (3 pages) doi:10.1115/1.3607806 History: Received November 10, 1966; Online September 14, 2011


In this paper, a Lyapunov type of approach is used to obtain sufficient conditions for the almost sure stability of a particular parametrically excited random vibrational system. The result found utilizes the frequency spectrum of the random term.

Copyright © 1967 by ASME
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