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

School of Mathematics and Statistics

Northwestern Polytechnical University Xian

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

13 Scopus citations

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.

Original language	English
Pages (from-to)	19-29
Number of pages	11
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	33
DOIs	https://doi.org/10.1016/j.cnsns.2015.08.003
State	Published - Apr 2016

Keywords

Parametric Poisson white noise
Perturbation method
Random vibration
Stochastic bifurcation
Stochastic response
Vibroimpact system

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10.1016/j.cnsns.2015.08.003

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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",

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

language = "英语",

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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

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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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