Linear Systems Excited by Polynomials of Filtered Poission Pulses

[+] Author and Article Information
M. Di Paola

Dipartimento di Ingegneria Strutturale e Geotecnica, Università degli Studi di Palermo, Viale delle Scienze, I-90128 Palermo, Italy

J. Appl. Mech 64(3), 712-717 (Sep 01, 1997) (6 pages) doi:10.1115/1.2788955 History: Received October 31, 1994; Revised September 14, 1996; Online October 25, 2007


The stochastic differential equations for quasi-linear systems excited by parametric non-normal Poisson white noise are derived. Then it is shown that the class of memoryless transformation of filtered non-normal delta correlated process can be reduced, by means of some transformation, to quasi-linear systems. The latter, being excited by parametric excitations, are frst converted into ltô stochastic differential equations, by adding the hierarchy of corrective terms which account for the nonnormality of the input, then by applying the Itô differential rule, the moment equations have been derived. It is shown that the moment equations constitute a linear finite set of differential equation that can be exactly solved.

Copyright © 1997 by The American Society of Mechanical Engineers
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