Response analysis of two-degree-of-freedom Impact oscillator to random excitation

Liang Wang; Wei Xu; Ying Li

Response analysis of two-degree-of-freedom Impact oscillator to random excitation

Liang Wang
, Wei Xu
, Ying Li

School of Mathematics and Statistics

Northwestern Polytechnical University Xian

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

4 Scopus citations

Abstract

The response of a two-degree-of-freedom impact oscillator to random excitation is investigated. The existence of grazing bifurcation involved in the period-doubling bifurcation is shown clearly. The effects of the random excitation are studied by defining a measure of the stochastic response. The idea that the random factor can change the property of the system in some conditions is proposed. Numerical simulations show that the method is effective.

Original language	English
Pages (from-to)	6169-6173
Number of pages	5
Journal	Wuli Xuebao/Acta Physica Sinica
Volume	57
Issue number	10
State	Published - Oct 2008

Keywords

Grazing bifurcation
Non-smooth system
Period-doubling bifurcation
Two-degree-of-freedom impact oscillator

Cite this

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title = "Response analysis of two-degree-of-freedom Impact oscillator to random excitation",

abstract = "The response of a two-degree-of-freedom impact oscillator to random excitation is investigated. The existence of grazing bifurcation involved in the period-doubling bifurcation is shown clearly. The effects of the random excitation are studied by defining a measure of the stochastic response. The idea that the random factor can change the property of the system in some conditions is proposed. Numerical simulations show that the method is effective.",

keywords = "Grazing bifurcation, Non-smooth system, Period-doubling bifurcation, Two-degree-of-freedom impact oscillator",

author = "Liang Wang and Wei Xu and Ying Li",

year = "2008",

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volume = "57",

pages = "6169--6173",

journal = "Wuli Xuebao/Acta Physica Sinica",

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T1 - Response analysis of two-degree-of-freedom Impact oscillator to random excitation

AU - Wang, Liang

AU - Xu, Wei

AU - Li, Ying

PY - 2008/10

Y1 - 2008/10

N2 - The response of a two-degree-of-freedom impact oscillator to random excitation is investigated. The existence of grazing bifurcation involved in the period-doubling bifurcation is shown clearly. The effects of the random excitation are studied by defining a measure of the stochastic response. The idea that the random factor can change the property of the system in some conditions is proposed. Numerical simulations show that the method is effective.

AB - The response of a two-degree-of-freedom impact oscillator to random excitation is investigated. The existence of grazing bifurcation involved in the period-doubling bifurcation is shown clearly. The effects of the random excitation are studied by defining a measure of the stochastic response. The idea that the random factor can change the property of the system in some conditions is proposed. Numerical simulations show that the method is effective.

KW - Grazing bifurcation

KW - Non-smooth system

KW - Period-doubling bifurcation

KW - Two-degree-of-freedom impact oscillator

UR - https://www.scopus.com/pages/publications/55649118518

M3 - 文章

AN - SCOPUS:55649118518

SN - 1000-3290

VL - 57

SP - 6169

EP - 6173

JO - Wuli Xuebao/Acta Physica Sinica

JF - Wuli Xuebao/Acta Physica Sinica

IS - 10

ER -

Response analysis of two-degree-of-freedom Impact oscillator to random excitation

Abstract

Keywords

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