Mean-Square Response of Simple Mechanical Systems to Nonstationary Random Excitation

[+] Author and Article Information
R. L. Barnoski, J. R. Maurer

Measurement Analysis Corporation, Marina del Rey, Calif.

J. Appl. Mech 36(2), 221-227 (Jun 01, 1969) (7 pages) doi:10.1115/1.3564611 History: Received October 25, 1968; Online September 14, 2011


This paper concerns the mean-square response of a single-degree-of-freedom system to amplitude modulated random noise. The formulation is developed in terms of the frequency-response function of the system and generalized spectra of the nonstationary random excitation. Both the unit step and rectangular step functions are used for the amplitude modulation, and both white noise and noise with an exponentially decaying harmonic correlation function are considered. The time-varying mean-square response is shown not to exceed its stationary value for white noise. For correlated noise, however, it is shown that the system mean-square response may exceed its stationary value.

Copyright © 1969 by ASME
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