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Stochastic Response on Non-Linear Systems under Parametric Non-Gaussian Agencies

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Nonlinear Stochastic Mechanics

Part of the book series: IUTAM Symposia ((IUTAM))

Abstract

The probabilistic response characterization of non-linear systems subjected to non-normal delta correlated parametric excitation is obtained. In order to do this an extension of both Ito’s differential rule and the Fokker-Planck equation is presented, enabling one to account for the effect of the non-normal input. The validity of the approach reported here is confirmed by results obtained by means of a Monte Carlo simulation.

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© 1992 Springer-Verlag Berlin Heidelberg

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Di Paola, M., Falsone, G. (1992). Stochastic Response on Non-Linear Systems under Parametric Non-Gaussian Agencies. In: Bellomo, N., Casciati, F. (eds) Nonlinear Stochastic Mechanics. IUTAM Symposia. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84789-9_13

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  • DOI: https://doi.org/10.1007/978-3-642-84789-9_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-84791-2

  • Online ISBN: 978-3-642-84789-9

  • eBook Packages: Springer Book Archive

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