Response of a Multidegree-of-Freedom System to Nonstationary Random Excitation

[+] Author and Article Information
S. F. Masri

Department of Civil Engineering, University of Southern California, Los Angeles, Calif.

J. Appl. Mech 45(3), 649-656 (Sep 01, 1978) (8 pages) doi:10.1115/1.3424376 History: Received November 01, 1977; Revised January 01, 1978; Online July 12, 2010


This paper presents an analytical study of the covariance kernels of a damped linear two-degree-of-freedom system that is subjected to spatially correlated nonstationary stochastic excitation consisting of modulated white noise. A unit-step intensity function and an exponential function, resembling the envelope of a typical earthquake, are considered in conjunction with a propagating disturbance. Results of the analysis are used to determine the dependence of the peak transient mean-square response of the system on the uncoupled frequency ratios, mass ratios, wave propagation speed, shape of the intensity function, and system damping.

Copyright © 1978 by ASME
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