Abstract
A method to estimate the stochastic response of hysteretic structures under combined load is investigated. The response statistical moments of structures, with hysteretic characteristics approximated by Wen’s mathematical model, are obtained by using the Fokker-Planck equation method with a cumulant truncation technique. This paper deals with the formulation for the multi-degrees-of-freedom system, and demonstrates that resulting variances of the response for a three-degrees-of-freedom structure, as a numerical example, agree well with a Monte Carlo simulation.
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References
Wen, Y.K. Method for Random Vibration of Hysteretic Systems, Journal of Engineering Mechanics, Vol.102, No.2, pp.249–263, 1976.
Wilcox, R.M. and Bellman, R. Truncation and Preservation of Moment Properties for Fokker-Planck Moment Equations, Journal of Mathematical Analysis and Applications, Vol.32, pp.532–542, 1970.
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© 1991 Computational Mechanics Publications
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Mochio, T. (1991). Stochastic Response of Nonlinear Multi-Degrees-of-Freedom Structures Subjected to Combined Random Loads. In: Spanos, P.D., Brebbia, C.A. (eds) Computational Stochastic Mechanics. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3692-1_22
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DOI: https://doi.org/10.1007/978-94-011-3692-1_22
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-85166-698-0
Online ISBN: 978-94-011-3692-1
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