小波变换与自助理论在模态参数辨识中的应用研究

张强;吴庆鸣

振动与冲击 ›› 2009, Vol. 28 ›› Issue (5) : 131-136.

PDF(1397 KB)
PDF(1397 KB)
振动与冲击 ›› 2009, Vol. 28 ›› Issue (5) : 131-136.
论文

小波变换与自助理论在模态参数辨识中的应用研究

  • 张强,吴庆鸣
作者信息 +

STUDY ON MODAL PARAMETERS IDENTIFICATION BASED WAVELET TRANSFORMAND BOOTSTRAP THEORY

  • ZHANG Qiang, WU Qing-ming
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文章历史 +

摘要

应用小波变换及自助理论对多自由度系统进行模态参数辨识。通过对结构系统响应信号进行小波变换将其表示在时频域内,在分析了小波变换的时频分辨率特性后,利用最小Shannon熵获取最优小波参数,并运用自助理论估计出模态参数分布的置信区间范围。数值仿真表明了该方法对模态参数估计的有效性。将所提方法应用于一个振动台的模态分析,实验结果表明,提出的小波自助模态参数辨识方法降低了模态参数辨识的难度,提高了模态频率和阻尼比的辨识精度。

Abstract

A new method of parametric identification based on wavelet transform and bootstrap theory is proposed in this paper to identify modal parameters of multiple-DOF system. With modified Morlet continuous wavelet transform, measured responses are represented in time-frequency domain, after the analysis of time and frequency resolutions, the optimal parameters of wavelet function are determined by Shannon entropy. The statistical confidence intervals on modal parameters are estimated by bootstrap theory. A simulation and an experiment were carried out on a vibration platform to validate the proposed method.

关键词

小波变换 / 最小Shannon熵 / 自助理论 / 置信区间

Key words

wavelet transform / the minimum Shannon entropy / bootstrap theory / confidence interval

引用本文

导出引用
张强;吴庆鸣. 小波变换与自助理论在模态参数辨识中的应用研究[J]. 振动与冲击, 2009, 28(5): 131-136
ZHANG Qiang;WU Qing-ming. STUDY ON MODAL PARAMETERS IDENTIFICATION BASED WAVELET TRANSFORMAND BOOTSTRAP THEORY[J]. Journal of Vibration and Shock, 2009, 28(5): 131-136
中图分类号: TB535   

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