Application of Nonstationary Shot Noise in the Study of System Response to a Class of Nonstationary Excitations

[+] Author and Article Information
Y. K. Lin

Aeronautical and Astronautical Engineering Department, University of Illinois, Urbana, Ill.

J. Appl. Mech 30(4), 555-558 (Dec 01, 1963) (4 pages) doi:10.1115/1.3636617 History: Received November 23, 1962; Online September 16, 2011


The response of a linear system to the excitation of a nonstationary random process is studied. The random excitation considered belongs to a general class which may be generated by passing a nonstationary shot noise throuh a linear filter. The behaviors of different filters are discussed. In principle the covariance and the variance functions of an arbitrary excitation process can be simulated by properly choosing a filter and a non-stationary strength function in the shot noise. It is shown that, even with a first-order filter, the variance function of a complicated process such as a typical earthquake can be well reproduced, and the determination of the structural response to such excitations becomes relatively simple.

Copyright © 1963 by ASME
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