结构损伤响应时程主成分及其相关性分析

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振动与冲击 ›› 2012, Vol. 31 ›› Issue (19) : 156-159.

论文

结构损伤响应时程主成分及其相关性分析

朱军华1，3，余岭1，2

作者信息 +

Correlation Analysis on Principal Components of Damage Response Time Histories of Structures

ZHU Jun-hua1, 3, YU Ling1, 2

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文章历史 +

摘要

基于结构动态响应时程和主成分分析技术对结构损伤识别和结构健康状态在线监测进行研究。采用相关性分析方法，提出了一种新的损伤敏感指标——主成分置信度。首先分别对各测点实测时域响应数据进行分段、重组并形成矩阵形式，再进行标准化处理；其次，利用主成分分析提取各测点的主成分，对主成分进行相关性分析，并计算主成分置信度；最后，通过若干结构损伤仿真计算和试验验证了该方法的正确性和有效性。该方法仅需提取结构基准状态和待测状态的时域响应特征，即可进行损伤判别，计算量小且不限于结构型式，因此，非常有利于结构在线监测。

Abstract

Structural damage detection method has been investigated for structural health monitoring in this paper. Base on the dynamic responses in time domain and the theory of principal component analysis (PCA), a novelty damage sensitive index, namely the principal component assurance criterion (PCAC), has been proposed by using the correlation analysis. Firstly, the responses at each location are divided into several segments and assembled in a matrix in time domain, further each column of the matrix is standardized. Secondly, the principal components are extracted from the matrix at each location by using the PCA. Finally, correlation analysis is performed by computing the PCAC in order to compare the PCs in unknown states with those in reference states. Some numerical simulation and experimental results on structures shows that the proposed method is correct and effective. Damage diagnosis can be performed by only extracting the features from the response time histories in reference and testing states respectively, and such virtues as less computational costs and independent on structure make it more beneficial to perform structural health monitoring in situ.

导出引用

朱军华;余岭;. 结构损伤响应时程主成分及其相关性分析 [J]. 振动与冲击, 2012, 31(19): 156-159

ZHU Jun-hua;;YU Ling;. Correlation Analysis on Principal Components of Damage Response Time Histories of Structures[J]. Journal of Vibration and Shock, 2012, 31(19): 156-159