Random vibrations of Rayleigh vibroimpact oscillator under Parametric Poisson white noise

Guidong Yang; Wei Xu; Wantao Jia; Meijuan He

doi:10.1016/j.cnsns.2015.08.003

Random vibrations of Rayleigh vibroimpact oscillator under Parametric Poisson white noise

Guidong Yang, Wei Xu, Wantao Jia, Meijuan He

数学与统计学院

Northwestern Polytechnical University Xian

科研成果: 期刊稿件 › 文章 › 同行评审

13 引用（Scopus）

摘要

Random vibration problems for a single-degree-of-freedom (SDOF) Rayleigh vibroimpact system with a rigid barrier under parametric Poisson white noise are considered. The averaged generalized Fokker-Planck-Kolmogorov (FPK) equations with parametric Poisson white noise are derived after using the nonsmooth variable transformation and the approximate stationary solutions for the system's response are obtained by perturbation method. The results are validated numerically by using Monte Carlo simulations from original vibroimpact system. Effects on the response for different damping coefficients, restitution coefficients and noise intensities are discussed. Furthermore, stochastic bifurcations are also explored.

源语言	英语
页（从-至）	19-29
页数	11
期刊	Communications in Nonlinear Science and Numerical Simulation
卷	33
DOI	https://doi.org/10.1016/j.cnsns.2015.08.003
出版状态	已出版 - 4月 2016

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title = "Random vibrations of Rayleigh vibroimpact oscillator under Parametric Poisson white noise",

abstract = "Random vibration problems for a single-degree-of-freedom (SDOF) Rayleigh vibroimpact system with a rigid barrier under parametric Poisson white noise are considered. The averaged generalized Fokker-Planck-Kolmogorov (FPK) equations with parametric Poisson white noise are derived after using the nonsmooth variable transformation and the approximate stationary solutions for the system's response are obtained by perturbation method. The results are validated numerically by using Monte Carlo simulations from original vibroimpact system. Effects on the response for different damping coefficients, restitution coefficients and noise intensities are discussed. Furthermore, stochastic bifurcations are also explored.",

keywords = "Parametric Poisson white noise, Perturbation method, Random vibration, Stochastic bifurcation, Stochastic response, Vibroimpact system",

author = "Guidong Yang and Wei Xu and Wantao Jia and Meijuan He",

note = "Publisher Copyright: {\textcopyright} 2015 Elsevier B.V.",

year = "2016",

month = apr,

doi = "10.1016/j.cnsns.2015.08.003",

language = "英语",

volume = "33",

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journal = "Communications in Nonlinear Science and Numerical Simulation",

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TY - JOUR

T1 - Random vibrations of Rayleigh vibroimpact oscillator under Parametric Poisson white noise

AU - Yang, Guidong

AU - Xu, Wei

AU - Jia, Wantao

AU - He, Meijuan

PY - 2016/4

Y1 - 2016/4

N2 - Random vibration problems for a single-degree-of-freedom (SDOF) Rayleigh vibroimpact system with a rigid barrier under parametric Poisson white noise are considered. The averaged generalized Fokker-Planck-Kolmogorov (FPK) equations with parametric Poisson white noise are derived after using the nonsmooth variable transformation and the approximate stationary solutions for the system's response are obtained by perturbation method. The results are validated numerically by using Monte Carlo simulations from original vibroimpact system. Effects on the response for different damping coefficients, restitution coefficients and noise intensities are discussed. Furthermore, stochastic bifurcations are also explored.

AB - Random vibration problems for a single-degree-of-freedom (SDOF) Rayleigh vibroimpact system with a rigid barrier under parametric Poisson white noise are considered. The averaged generalized Fokker-Planck-Kolmogorov (FPK) equations with parametric Poisson white noise are derived after using the nonsmooth variable transformation and the approximate stationary solutions for the system's response are obtained by perturbation method. The results are validated numerically by using Monte Carlo simulations from original vibroimpact system. Effects on the response for different damping coefficients, restitution coefficients and noise intensities are discussed. Furthermore, stochastic bifurcations are also explored.

KW - Parametric Poisson white noise

KW - Perturbation method

KW - Random vibration

KW - Stochastic bifurcation

KW - Stochastic response

KW - Vibroimpact system

UR - http://www.scopus.com/inward/record.url?scp=84946106074&partnerID=8YFLogxK

U2 - 10.1016/j.cnsns.2015.08.003

DO - 10.1016/j.cnsns.2015.08.003

M3 - 文章

AN - SCOPUS:84946106074

SN - 1007-5704

VL - 33

SP - 19

EP - 29

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

ER -

Random vibrations of Rayleigh vibroimpact oscillator under Parametric Poisson white noise

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