On the Nonstationary Response of Stochastically Excited Secondary Systems

[+] Author and Article Information
W. D. Iwan

Division of Applied Mechanics and Civil Engineering, California Institute of Technology, Pasadena, CA 91125

K. S. Smith

Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA 91125

J. Appl. Mech 54(3), 688-694 (Sep 01, 1987) (7 pages) doi:10.1115/1.3173089 History: Received June 18, 1986; Revised January 24, 1987; Online July 21, 2009


The envelope response of a secondary system is derived for the case where the primary system is subjected to nonstationary stochastic excitation. An approximate closed form expression for the mean square envelope response is obtained for the case of transient response to stationary excitation when the primary and secondary systems are noninteracting. When the combined system is classically damped, the effect of the interaction is described by the introduction of an equivalent noninteracting system. The analytical results are compared with results of numerical simulations.

Copyright © 1987 by ASME
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