Mean-Square Response of a Second-Order System to Nonstationary, Random Excitation

[+] Author and Article Information
L. L. Bucciarelli, C. Kuo

Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, Cambridge, Mass.

J. Appl. Mech 37(3), 612-616 (Sep 01, 1970) (5 pages) doi:10.1115/1.3408588 History: Received November 17, 1969; Online July 12, 2010


The mean-square response of a lightly damped, second-order system to a type of non-stationary random excitation is determined. The forcing function on the system is taken in the form of a product of a well-defined, slowly varying envelope function and a noise function. The latter is assumed to be white or correlated as a narrow band process. Taking advantage of the slow variation of the envelope function and the small damping of the system, relatively simple integrals are obtained which approximate the mean-square response. Upper bounds on the mean-square response are also obtained.

Copyright © 1970 by ASME
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