Saturation and resonance of nonlinear system under bounded noise excitation

H. W. Rong; X. D. Wang; W. Xu; T. Fang

doi:10.1016/j.jsv.2005.05.021

Saturation and resonance of nonlinear system under bounded noise excitation

H. W. Rong, X. D. Wang, W. Xu, T. Fang

School of Mathematics and Statistics

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

17 Scopus citations

Abstract

The principal resonance of a 2dof nonlinear oscillator due to bounded random excitations is investigated. Equations of modulation of response amplitude and phase are derived by the method of multiple scales. Steady-state moments for the response amplitude of the system are determined through the linearized Ito differential equation. The results of theoretical analyses are verified by numerical simulations. Saturation phenomena are found in the random counterpart. Some recommendations for potential applications of this random saturation phenomenon to vibration control problems are given at the end of the paper.

Original language	English
Pages (from-to)	48-59
Number of pages	12
Journal	Journal of Sound and Vibration
Volume	291
Issue number	1-2
DOIs	https://doi.org/10.1016/j.jsv.2005.05.021
State	Published - 21 Mar 2006

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10.1016/j.jsv.2005.05.021

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title = "Saturation and resonance of nonlinear system under bounded noise excitation",

abstract = "The principal resonance of a 2dof nonlinear oscillator due to bounded random excitations is investigated. Equations of modulation of response amplitude and phase are derived by the method of multiple scales. Steady-state moments for the response amplitude of the system are determined through the linearized Ito differential equation. The results of theoretical analyses are verified by numerical simulations. Saturation phenomena are found in the random counterpart. Some recommendations for potential applications of this random saturation phenomenon to vibration control problems are given at the end of the paper.",

author = "Rong, {H. W.} and Wang, {X. D.} and W. Xu and T. Fang",

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AU - Wang, X. D.

AU - Xu, W.

AU - Fang, T.

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Y1 - 2006/3/21

N2 - The principal resonance of a 2dof nonlinear oscillator due to bounded random excitations is investigated. Equations of modulation of response amplitude and phase are derived by the method of multiple scales. Steady-state moments for the response amplitude of the system are determined through the linearized Ito differential equation. The results of theoretical analyses are verified by numerical simulations. Saturation phenomena are found in the random counterpart. Some recommendations for potential applications of this random saturation phenomenon to vibration control problems are given at the end of the paper.

AB - The principal resonance of a 2dof nonlinear oscillator due to bounded random excitations is investigated. Equations of modulation of response amplitude and phase are derived by the method of multiple scales. Steady-state moments for the response amplitude of the system are determined through the linearized Ito differential equation. The results of theoretical analyses are verified by numerical simulations. Saturation phenomena are found in the random counterpart. Some recommendations for potential applications of this random saturation phenomenon to vibration control problems are given at the end of the paper.

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DO - 10.1016/j.jsv.2005.05.021

M3 - 文章

AN - SCOPUS:30344474624

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VL - 291

SP - 48

EP - 59

JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

IS - 1-2

ER -

Saturation and resonance of nonlinear system under bounded noise excitation

Abstract

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