Correlation Analysis on Principal Components of Damage Response Time Histories of Structures
ZHU Jun-hua1, 3, YU Ling1, 2
1. Department of Mechanics and Civil Engineering, Jinan University, Guangzhou 510632, China;2. Key Lab of Disaster Forecast and Control in Engineering of Ministry of Education of China,Jinan University, Guangzhou 510610, China;3. The 5th Electronics Research Institute of the Ministry of Industry and Information Technology, Guangzhou 510610, China
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.
2012, Vol. 31 
