主分量分析在激励源识别中的应用研究

董建超;杨铁军;李新辉;代路

振动与冲击 ›› 2013, Vol. 32 ›› Issue (24) : 157-163.

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振动与冲击 ›› 2013, Vol. 32 ›› Issue (24) : 157-163.
论文

主分量分析在激励源识别中的应用研究

  • 董建超,杨铁军,李新辉,代路
作者信息 +

Applications of Principal Component Analysis toexcitation source identification

  • Dong Jian-chao, YANG Tie-jun, LI Xin-hui,Dai Lu
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摘要

本文直观地解释了主分量分析(Principal component analysis, PCA)的求解原理及去相关能力,引入邻阶分量信噪比作为数据压缩和分量截断的依据,分析了混合矩阵条件数对PCA的影响。当PCA应用于机械系统时,分析了激励点位置与测点位置以及激励源自身的特性对识别结果的影响。分别采用相关白噪声与不相关白噪声对简支梁结构进行激励,进行了不相关激励源数目识别的实验研究。结果表明:在多输入多输出系统,当测点数目等于与高于激励源数目时,应用PCA并引入邻阶分量信噪比(signal noise ratio,SNR),能够准确地识别不相关激励源的数目。以此为基础的预处理过程,能够确保盲源识别更加可靠。

Abstract

The principle and ability of de-correlation of Principal component analysis (PCA) are explained in this paper. SNR between neighboring components are introduced as a criterion for data compression and components cut-off. The influence of mixture matrix condition number on PCA is analyzed. When using PCA in mechanical system, the influences of excitation and measurement locations are analyzed, and a study on the influence of source properties is presented. Experiments are carried out on a beam rig. PCA is used to identify source number of several cases include correlated white noise sources and uncorrelated white noise sources. The results show that when observation number is equal to or larger than source number, accurate prediction of the number of uncorrelated excitation sources in a multiple input multiple output(MIMO) system could be obtained by PCA. Based on this framework, the pre-processing could make the blind identification more reliable.




关键词

主分量分析 / 条件数 / 邻阶分量信噪比 / 不相关源数识别

Key words

Principal component analysis / condition number / Signal noise ratio between neighboring components / uncorrelated source number identification

引用本文

导出引用
董建超;杨铁军;李新辉;代路. 主分量分析在激励源识别中的应用研究[J]. 振动与冲击, 2013, 32(24): 157-163
Dong Jian-chao;YANG Tie-jun;LI Xin-hui;Dai Lu. Applications of Principal Component Analysis toexcitation source identification[J]. Journal of Vibration and Shock, 2013, 32(24): 157-163

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