Experimental damage identification using SVD-based sensitivities of truncated transfer function

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Abstract

In this paper, the application of SVD-based Principal Component Analysis (PCA) performed on truncated form of transfer function is demonstrated. Damage scenarios with light severity and distributed locations could be detected, localized and quantified using a one-step model updating. The objective of this study is to demonstrate the application of SVD-based Principal Component Analysis performed on moving windows of transfer function. It uses the sensitivities of measured responses in frequency domain, its singular values and right eigenvectors for FE model updating in an efficient way, by developing a quasi-linear sensitivity equation of structural response. The benefit of applying PCA for dynamical systems comes from its ability to detect and rank the dominant coherent spatial and frequency-dependent information of dynamic response. An experimental study on a concrete beam has been validated to show the ability of this technique for damage detection.

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Rahai, M., Bakhshi, A., & Esfandiari, A. (2018). Experimental damage identification using SVD-based sensitivities of truncated transfer function. In Lecture Notes in Civil Engineering (Vol. 5, pp. 156–166). Springer. https://doi.org/10.1007/978-3-319-67443-8_13

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