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

Northwestern Polytechnical University Xian
Shaanxi Normal University

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

61 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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T1 - Stochastic responses of vibro-impact duffing oscillator excited by additive Gaussian noise

AU - Feng, Jinqian

AU - Xu, Wei

AU - Wang, Rui

PY - 2008/1/22

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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.

UR - https://www.scopus.com/pages/publications/35748953723

U2 - 10.1016/j.jsv.2007.07.070

DO - 10.1016/j.jsv.2007.07.070

M3 - 文章

AN - SCOPUS:35748953723

SN - 0022-460X

VL - 309

SP - 730

EP - 738

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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