Saturation and resonance in a class of non-linear systems under bounded noise excitation

Haiwu Rong; Xiangdong Wang; Wei Xu; Tong Fang

Saturation and resonance in a class of non-linear systems under bounded noise excitation

Haiwu Rong, Xiangdong Wang, Wei Xu, Tong Fang

School of Mathematics and Statistics

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

Abstract

The principal resonance of a two-degree-of-freedom non-linear oscillator to bounded noise excitations is investigated, the phenomenon of random saturation is found. The method of multiple scales is used to separate the rapidly varying items in the modulation equations, and the linearization process is carried out to determine the steady state moments of the amplitude of the system response. Some suggestions for system optimum design are proposed. The theoretical analyses are verified with numerical simulation.

Original language	English
Pages (from-to)	213-217
Number of pages	5
Journal	Yingyong Lixue Xuebao/Chinese Journal of Applied Mechanics
Volume	23
Issue number	2
State	Published - Jun 2006

Keywords

Multiple scale method
Principal resonance
Random saturation
Two-degree-of-freedom non-linear system

Cite this

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abstract = "The principal resonance of a two-degree-of-freedom non-linear oscillator to bounded noise excitations is investigated, the phenomenon of random saturation is found. The method of multiple scales is used to separate the rapidly varying items in the modulation equations, and the linearization process is carried out to determine the steady state moments of the amplitude of the system response. Some suggestions for system optimum design are proposed. The theoretical analyses are verified with numerical simulation.",

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AU - Wang, Xiangdong

AU - Xu, Wei

AU - Fang, Tong

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N2 - The principal resonance of a two-degree-of-freedom non-linear oscillator to bounded noise excitations is investigated, the phenomenon of random saturation is found. The method of multiple scales is used to separate the rapidly varying items in the modulation equations, and the linearization process is carried out to determine the steady state moments of the amplitude of the system response. Some suggestions for system optimum design are proposed. The theoretical analyses are verified with numerical simulation.

AB - The principal resonance of a two-degree-of-freedom non-linear oscillator to bounded noise excitations is investigated, the phenomenon of random saturation is found. The method of multiple scales is used to separate the rapidly varying items in the modulation equations, and the linearization process is carried out to determine the steady state moments of the amplitude of the system response. Some suggestions for system optimum design are proposed. The theoretical analyses are verified with numerical simulation.

KW - Multiple scale method

KW - Principal resonance

KW - Random saturation

KW - Two-degree-of-freedom non-linear system

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JO - Yingyong Lixue Xuebao/Chinese Journal of Applied Mechanics

JF - Yingyong Lixue Xuebao/Chinese Journal of Applied Mechanics

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ER -

Saturation and resonance in a class of non-linear systems under bounded noise excitation

Abstract

Keywords

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