Abstract
A technique for obtaining nonstationary responses of a nonlinear system subjected to nonwhite excitation is investigated. The moment equations method through use of the augmented system consisting of a main system and a shaping filter is discussed, in which the influence of the filter dynamics can be eliminated by substituting the stationary values of the moments with respect to the filter outputs into the inhomogeneous terms. The method of the direct moment equations, which are derived immediately from the main system and whose inhomogeneous terms are determined by using a recurrence algorithm, is reviewed. Characteristics of both moment equations method are compared.
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© 1991 Computational Mechanics Publications
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Kimura, K., Sakata, M. (1991). Moment Equations Approach to Nonstationary Responses of a Nonlinear System Subjected to Nonwhite Random Excitation. In: Spanos, P.D., Brebbia, C.A. (eds) Computational Stochastic Mechanics. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3692-1_23
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DOI: https://doi.org/10.1007/978-94-011-3692-1_23
Publisher Name: Springer, Dordrecht
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