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

数学与统计学院

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

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.

源语言	英语
页（从-至）	213-217
页数	5
期刊	Yingyong Lixue Xuebao/Chinese Journal of Applied Mechanics
卷	23
期	2
出版状态	已出版 - 6月 2006

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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 - 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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AN - SCOPUS:33746834931

SN - 1000-4939

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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

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