Identification for Time-varying and Typical Nonlinear Vibration SystemBased on Wavelet Transform

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Journal of Vibration and Shock ›› 2014, Vol. 33 ›› Issue (13) : 123-129.

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Identification for Time-varying and Typical Nonlinear Vibration SystemBased on Wavelet Transform

Huang dongmei 1，2，ZHOU Shi1, REN Wei-xin1,3

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Abstract

Parameter identification for time-varying vibration system and typical nonlinear vibration system are conducted by using Morlet wavelet transform method in this paper. Firstly, the wavelet ridge of vibration response is extracted by Morlet wavelet transform, and then the instantaneous frequency and instantaneous amplitude are obtained. Afterward, the nonlinear damping and stiffness coefficient are estimated according to least squares curve fitting. The time-varying damping free vibration system, the duffing damped nonlinear harmonic vibration system, and the Van der Pol nonlinear free vibration system are taken for example to show the effectiveness of wavelet transform method for identifying time-varying vibration system and nonlinear vibration system.

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time-varying damping vibration system / nonlinear vibration system / wavelet transform method / the method of least squares.

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Huang dongmei;ZHOU Shi;REN Wei-xin;. Identification for Time-varying and Typical Nonlinear Vibration SystemBased on Wavelet Transform[J]. Journal of Vibration and Shock, 2014, 33(13): 123-129