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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 102
PROCEEDINGS OF THE FOURTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING
Edited by:
Paper 187

Detection of Localized Damage of Beams using a Frequency Based Method

F. El Khannoussi1, A. Khamlichi1, A. Hajraoui1 and A. Limam2

1Systems of Communications and Detection Laboratory
Faculty of Sciences at Tetouan, M'hannech, Morocco
2Civil and Environmental Engineering Laboratory, Institute of Applied Sciences at Lyon
Villeurbanne, France

Full Bibliographic Reference for this paper
F. El Khannoussi, A. Khamlichi, A. Hajraoui, A. Limam, "Detection of Localized Damage of Beams using a Frequency Based Method", in , (Editors), "Proceedings of the Fourteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 187, 2013. doi:10.4203/ccp.102.187
Keywords: damage detection, modal strain energy, frequency method, Bayesian theory.

Summary
In this paper a Bayesian approach was considered in order to identify localized damage occupying two distinct sites of a Mindlin Plate. The method is based on the measurement of the first natural frequencies of the plate and the determination of the modal shapes for both the reference state assumed to be undamaged and the actual damaged state. It was assumed that the measured natural frequencies are perturbed through a linear additive model by a Gaussian noise having a zero mean. The prior information was also assumed to be a multivariate Gaussian. These two random variables were assumed to be independent mutually and having proportional diagonal covariance matrices. The Bayesian approach has enabled then to estimate damage distribution undergone by the plate. The effectiveness of this approach was discussed finally as function of the two-site damage pattern.

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