is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible.

is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible.This is an author-deposited version published in: https://sam.ensam.eu Handle ID: .http://hdl.handle.net/10985/8199 To cite this version :Rafik HAJRYA, Nazih MECHBAL -Principal component analysis and perturbation theory-based robust damage detection of multifunctional aircraft structure -Structural Health Monitoring -Vol. 12 (, n°3, p.263-277 -2013 Any correspondence concerning this service should be sent to the repository

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In structural health monitoring, features extraction from measured data plays an important role. In order to enhance information about damage, we propose in this paper, a new damage detection methodology, based on the Hilbert transform and multivariate analysis. Using measurements given by distributed sensors of a smart composite structure, we apply the Hilbert transform to calculate an envelope matrix. This matrix is then treated using multivariate analysis. The subspaces associated to the envelope matrix are used to define a damage index (DI). Furthermore, from perturbation theory of matrices, we propose a bound associated to this DI, by inspecting this bound, decision on the health of the structure is generated. Experimentation on an actual composite smart structure will show the effectiveness of the proposed approach.

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