Stochastic analysis of strongly non-linear elastic impact system with Coulomb friction excited by white noise

Li Liu; Wei Xu; Xiaole Yue; Wantao Jia

doi:10.1016/j.probengmech.2020.103085

Stochastic analysis of strongly non-linear elastic impact system with Coulomb friction excited by white noise

Li Liu, Wei Xu, Xiaole Yue, Wantao Jia

School of Mathematics and Statistics

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

4 Scopus citations

Abstract

The stochastic response of frictionally damped strongly non-linear elastic impact oscillator subjected to white noise excitation and its stochastic bifurcation are considered. By the stochastic averaging method based on generalized harmonic function, one can obtain the stationary probability density function of this system. The effects of system parameters on the responses are investigated and the analytical results were verified by comparing with numerical results from Monte Carlo simulations. Stochastic bifurcations are discussed through a qualitative change of the stationary probability distribution, which indicates that the coefficient of friction, damping constant of the elastic impact force respectively, can be treated as bifurcation parameters.

Original language	English
Article number	103085
Journal	Probabilistic Engineering Mechanics
Volume	61
DOIs	https://doi.org/10.1016/j.probengmech.2020.103085
State	Published - Jul 2020

Keywords

Coulomb friction
Elastic impact system
Generalized stochastic averaging method
Stochastic bifurcation

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title = "Stochastic analysis of strongly non-linear elastic impact system with Coulomb friction excited by white noise",

abstract = "The stochastic response of frictionally damped strongly non-linear elastic impact oscillator subjected to white noise excitation and its stochastic bifurcation are considered. By the stochastic averaging method based on generalized harmonic function, one can obtain the stationary probability density function of this system. The effects of system parameters on the responses are investigated and the analytical results were verified by comparing with numerical results from Monte Carlo simulations. Stochastic bifurcations are discussed through a qualitative change of the stationary probability distribution, which indicates that the coefficient of friction, damping constant of the elastic impact force respectively, can be treated as bifurcation parameters.",

keywords = "Coulomb friction, Elastic impact system, Generalized stochastic averaging method, Stochastic bifurcation",

author = "Li Liu and Wei Xu and Xiaole Yue and Wantao Jia",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier Ltd",

year = "2020",

month = jul,

doi = "10.1016/j.probengmech.2020.103085",

language = "英语",

volume = "61",

journal = "Probabilistic Engineering Mechanics",

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T1 - Stochastic analysis of strongly non-linear elastic impact system with Coulomb friction excited by white noise

AU - Liu, Li

AU - Xu, Wei

AU - Yue, Xiaole

AU - Jia, Wantao

PY - 2020/7

Y1 - 2020/7

N2 - The stochastic response of frictionally damped strongly non-linear elastic impact oscillator subjected to white noise excitation and its stochastic bifurcation are considered. By the stochastic averaging method based on generalized harmonic function, one can obtain the stationary probability density function of this system. The effects of system parameters on the responses are investigated and the analytical results were verified by comparing with numerical results from Monte Carlo simulations. Stochastic bifurcations are discussed through a qualitative change of the stationary probability distribution, which indicates that the coefficient of friction, damping constant of the elastic impact force respectively, can be treated as bifurcation parameters.

AB - The stochastic response of frictionally damped strongly non-linear elastic impact oscillator subjected to white noise excitation and its stochastic bifurcation are considered. By the stochastic averaging method based on generalized harmonic function, one can obtain the stationary probability density function of this system. The effects of system parameters on the responses are investigated and the analytical results were verified by comparing with numerical results from Monte Carlo simulations. Stochastic bifurcations are discussed through a qualitative change of the stationary probability distribution, which indicates that the coefficient of friction, damping constant of the elastic impact force respectively, can be treated as bifurcation parameters.

KW - Coulomb friction

KW - Elastic impact system

KW - Generalized stochastic averaging method

KW - Stochastic bifurcation

UR - http://www.scopus.com/inward/record.url?scp=85088856014&partnerID=8YFLogxK

U2 - 10.1016/j.probengmech.2020.103085

DO - 10.1016/j.probengmech.2020.103085

M3 - 文章

AN - SCOPUS:85088856014

SN - 0266-8920

VL - 61

JO - Probabilistic Engineering Mechanics

JF - Probabilistic Engineering Mechanics

M1 - 103085

ER -

Stochastic analysis of strongly non-linear elastic impact system with Coulomb friction excited by white noise

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Keywords

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