Response Cumulant Equations for Dynamic Systems under Delta-Correlated Processes
Publication: Journal of Engineering Mechanics
Volume 123, Issue 2
Abstract
This paper develops response cumulant differential equations (CDEs) that can be used to calculate response cumulants for dynamic systems under non-Gaussian, delta-correlated excitations. The derived CDEs apply to both linear and nonlinear systems, an improvement over the previous CDEs that are only applicable to linear systems. The new CDEs also can be used much more efficiently than the previous version. The problem of a second-order, single-degree-of-freedom (SDOF) linear system subjected to non-Gaussian, delta-correlated excitations is given to illustrate how to use the new CDEs for calculating response cumulants. Closed-form solutions for the stationary response cumulants are presented.
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Published In
Journal of Engineering Mechanics
Volume 123 • Issue 2 • February 1997
Pages: 174 - 177
Copyright
Copyright © 1997 American Society of Civil Engineers.
History
Published online: Feb 1, 1997
Published in print: Feb 1997
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