Stochastic responses of vibro-impact duffing oscillator excited by additive Gaussian noise

Jinqian Feng; Wei Xu; Rui Wang

doi:10.1016/j.jsv.2007.07.070

Stochastic responses of vibro-impact duffing oscillator excited by additive Gaussian noise

Jinqian Feng, Wei Xu, Rui Wang

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

57 Scopus citations

Abstract

The stationary responses of vibro-impact Duffing oscillator excited by additive Gaussian white noise are studied by using the quasi-conservative averaging method. With the help of a non-smooth variable transformation and the Dirac delta function, the response probability density functions (PDFs) are formulated analytically. Meanwhile, the results are validated numerically using Monte Carlo simulations.

Original language	English
Pages (from-to)	730-738
Number of pages	9
Journal	Journal of Sound and Vibration
Volume	309
Issue number	3-5
DOIs	https://doi.org/10.1016/j.jsv.2007.07.070
State	Published - 22 Jan 2008

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10.1016/j.jsv.2007.07.070

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title = "Stochastic responses of vibro-impact duffing oscillator excited by additive Gaussian noise",

abstract = "The stationary responses of vibro-impact Duffing oscillator excited by additive Gaussian white noise are studied by using the quasi-conservative averaging method. With the help of a non-smooth variable transformation and the Dirac delta function, the response probability density functions (PDFs) are formulated analytically. Meanwhile, the results are validated numerically using Monte Carlo simulations.",

author = "Jinqian Feng and Wei Xu and Rui Wang",

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AU - Xu, Wei

AU - Wang, Rui

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N2 - The stationary responses of vibro-impact Duffing oscillator excited by additive Gaussian white noise are studied by using the quasi-conservative averaging method. With the help of a non-smooth variable transformation and the Dirac delta function, the response probability density functions (PDFs) are formulated analytically. Meanwhile, the results are validated numerically using Monte Carlo simulations.

AB - The stationary responses of vibro-impact Duffing oscillator excited by additive Gaussian white noise are studied by using the quasi-conservative averaging method. With the help of a non-smooth variable transformation and the Dirac delta function, the response probability density functions (PDFs) are formulated analytically. Meanwhile, the results are validated numerically using Monte Carlo simulations.

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U2 - 10.1016/j.jsv.2007.07.070

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M3 - 文章

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JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

IS - 3-5

ER -

Stochastic responses of vibro-impact duffing oscillator excited by additive Gaussian noise

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