基于小波变换的时变及典型非线性振动系统识别

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振动与冲击 ›› 2014, Vol. 33 ›› Issue (13) : 123-129.

论文

基于小波变换的时变及典型非线性振动系统识别

黄东梅 1，2，周实1，任伟新1,3

作者信息 +

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

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

Author information +

文章历史 +

摘要

本文用Morlet小波变换方法对时变振动系统和典型非线性振动系统进行参数识别。首先，通过Morlet小波变换提取振动响应的小波脊线，从而获得瞬时频率和瞬时幅值，然后，通过最小二乘曲线拟合即可估计系统的非线性阻尼和刚度系数。本文分别以时变阻尼自由振动系统、达芬有阻尼非线性简谐振动系统和范德波尔非线性自由振动系统为例子来说明小波变换方法对识别时变振动系统和非线性振动系统的有效性。

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.

导出引用

黄东梅;周实;任伟新;. 基于小波变换的时变及典型非线性振动系统识别[J]. 振动与冲击, 2014, 33(13): 123-129

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