The Steady-State Response of a Class of Dynamical Systems to Stochastic Excitation

[+] Author and Article Information
T. K. Caughey, F. Ma

California Institute of Technology, Pasadena, Calif. 91125

J. Appl. Mech 49(3), 629-632 (Sep 01, 1982) (4 pages) doi:10.1115/1.3162538 History: Received July 01, 1981; Online July 21, 2009


In this paper a class of coupled nonlinear dynamical systems subjected to stochastic excitation is considered. It is shown how the exact steady-state probability density function for this class of systems can be constructed. The result is then applied to some classical oscillator problems.

Copyright © 1982 by ASME
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