Stochastic responses of a vibro-impact system with additive and multiplicative colored noise excitations

Wei Xu; Chao Li; Xiaole Yue; Haiwu Rong

doi:10.1007/s40435-014-0143-0

Stochastic responses of a vibro-impact system with additive and multiplicative colored noise excitations

Wei Xu
, Chao Li
, Xiaole Yue
, Haiwu Rong

School of Mathematics and Statistics

Northwestern Polytechnical University Xian
Foshan University

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

9 Scopus citations

Abstract

By the aid of nonsmooth transformation, the stochastic averaging method is extended to solve the stationary response of a vibro-impact system with additive and multiplicative colored noise excitations. The stationary responses are obtained by using the concepts of total phase and residual phase. A Duffing–Van der Pol vibro-impact system is given to illustrate the application of the method. And stochastic P-bifurcation is also investigated.

Original language	English
Pages (from-to)	393-399
Number of pages	7
Journal	International Journal of Dynamics and Control
Volume	4
Issue number	4
DOIs	https://doi.org/10.1007/s40435-014-0143-0
State	Published - 1 Dec 2016

Keywords

Residual phase
Stochastic averaging method
Stochastic P-bifurcation
Total phase

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10.1007/s40435-014-0143-0

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title = "Stochastic responses of a vibro-impact system with additive and multiplicative colored noise excitations",

abstract = "By the aid of nonsmooth transformation, the stochastic averaging method is extended to solve the stationary response of a vibro-impact system with additive and multiplicative colored noise excitations. The stationary responses are obtained by using the concepts of total phase and residual phase. A Duffing–Van der Pol vibro-impact system is given to illustrate the application of the method. And stochastic P-bifurcation is also investigated.",

keywords = "Residual phase, Stochastic averaging method, Stochastic P-bifurcation, Total phase",

author = "Wei Xu and Chao Li and Xiaole Yue and Haiwu Rong",

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T1 - Stochastic responses of a vibro-impact system with additive and multiplicative colored noise excitations

AU - Xu, Wei

AU - Li, Chao

AU - Yue, Xiaole

AU - Rong, Haiwu

PY - 2016/12/1

Y1 - 2016/12/1

N2 - By the aid of nonsmooth transformation, the stochastic averaging method is extended to solve the stationary response of a vibro-impact system with additive and multiplicative colored noise excitations. The stationary responses are obtained by using the concepts of total phase and residual phase. A Duffing–Van der Pol vibro-impact system is given to illustrate the application of the method. And stochastic P-bifurcation is also investigated.

AB - By the aid of nonsmooth transformation, the stochastic averaging method is extended to solve the stationary response of a vibro-impact system with additive and multiplicative colored noise excitations. The stationary responses are obtained by using the concepts of total phase and residual phase. A Duffing–Van der Pol vibro-impact system is given to illustrate the application of the method. And stochastic P-bifurcation is also investigated.

KW - Residual phase

KW - Stochastic averaging method

KW - Stochastic P-bifurcation

KW - Total phase

UR - https://www.scopus.com/pages/publications/84995588044

U2 - 10.1007/s40435-014-0143-0

DO - 10.1007/s40435-014-0143-0

M3 - 文章

AN - SCOPUS:84995588044

SN - 2195-268X

VL - 4

SP - 393

EP - 399

JO - International Journal of Dynamics and Control

JF - International Journal of Dynamics and Control

IS - 4

ER -

Stochastic responses of a vibro-impact system with additive and multiplicative colored noise excitations

Abstract

Keywords

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