Robust structural damage detection and localization based on joint approximate diagonalization technique in frequency domain



Cao, S and Ouyang, H ORCID: 0000-0003-0312-0326
(2017) Robust structural damage detection and localization based on joint approximate diagonalization technique in frequency domain. Smart Materials and Structures, 26 (1). 015005-015005.

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Abstract

The structural characteristic deflection shapes (CDS's) such as mode shapes and operational deflection shapes are highly sensitive to structural damage in beam- or plate-type structures. Nevertheless, they are vulnerable to measurement noise and could result in unacceptable identification errors. In order to increase the accuracy and noise robustness of damage identification based on CDS's using vibration responses of random excitation, joint approximate diagonalization (JAD) technique and gapped smoothing method (GSM) are combined to form a sensitive and robust damage index (DI), which can simultaneously detect the existence of damage and localize its position. In addition, it is possible to apply this approach to damage identification of structures under ambient excitation. First, JAD method which is an essential technique of blind source separation is investigated to simultaneously diagonalize a set of power spectral density matrices corresponding to frequencies near a certain natural frequency to estimate a joint unitary diagonalizer. The columns of this joint diagonalizer contain dominant CDS's. With the identified dominant CDS's around different natural frequencies, GSM is used to extract damage features and a robust damage identification index is then proposed. Numerical and experimental examples of beams with cracks are used to verify the validity and noise robustness of JAD based CDS estimation and the proposed DI. Furthermore, damage identification using dominant CDS's estimated by JAD method is demonstrated to be more accurate and noise robust than by the commonly used singular value decomposition method.

Item Type: Article
Additional Information: journal_title: Smart Materials and Structures article_type: paper article_title: Robust structural damage detection and localization based on joint approximate diagonalization technique in frequency domain copyright_information: © 2016 IOP Publishing Ltd license_information: cc-by Original content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. date_received: 2016-08-04 date_accepted: 2016-10-28 date_epub: 2016-11-18
Uncontrolled Keywords: damage identification, characteristic deflection shape, joint approximate diagonalization, power spectral density, gapped smoothing method, output only, ambient vibration
Depositing User: Symplectic Admin
Date Deposited: 23 Jan 2017 09:21
Last Modified: 19 Jan 2023 07:20
DOI: 10.1088/0964-1726/26/1/015005
Open Access URL: http://iopscience.iop.org/article/10.1088/0964-172...
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URI: https://livrepository.liverpool.ac.uk/id/eprint/3005333