[Identification du délaminage dans les poutres à l’aide d’une approche analytique inverse basée sur les fréquences naturelles]
Substantial efforts have been invested in developing diverse methods for delamination identification. Among these, the vibration-based method has garnered considerable attention from researchers and has demonstrated commendable efficacy. In the present study, we have implemented a frequency-based methodology to effectively identify delamination in beams, employing a brief set of only three natural frequencies. The constrained mode model, an established model available in the literature, has been adopted as a forward model. Furthermore, the paper introduces a formulation of a system of nonlinear equations designed for inversion. The idea is based on nullifying the analytical expression of the determinant at the resonance condition. The analytical relationship between the frequencies and delamination parameters is written in the form of a nonlinear system of equations. A graphical technique has been used to solve the resulting nonlinear system of equations. The proposed method has been applied to beams subjected to three distinct boundary conditions for the sake of testing its adaptability across various structural configurations. The outcome of our study proves the successful identification of delamination parameters with a remarkable accuracy.
D’importants efforts ont été consacrés au développement de diverses méthodes pour l’identification du délaminage. Parmi celles-ci, la méthode basée sur les vibrations a suscité un vif intérêt chez les chercheurs et a démontré une efficacité notable. Dans la présente étude, nous avons mis en œuvre une méthodologie basée sur les fréquences pour identifier efficacement le délaminage dans des poutres, en utilisant un ensemble restreint de seulement trois fréquences naturelles. Le modèle des modes contraints, un modèle établi dans la littérature, a été adopté comme modèle direct. En outre, l’article introduit une formulation d’un système d’équations non linéaires conçu pour l’inversion. L’idée repose sur l’annulation de l’expression analytique du déterminant à la condition de résonance. La relation analytique entre les fréquences et les paramètres de délaminage est exprimée sous forme d’un système d’équations non linéaires. Une technique graphique a été utilisée pour résoudre ce système d’équations. La méthode proposée a été appliquée à des poutres soumises à trois conditions aux limites distinctes, afin de tester son adaptabilité à différentes configurations structurelles. Les résultats de notre étude prouvent l’identification réussie des paramètres de délaminage avec une précision remarquable.
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Mots-clés : Méthode inverse, Identification du délaminage, Fréquences naturelles, Résonance, Poutre
Saad Yazir 1 ; Sadam Houcine Habib 2 ; Cheikh Kezrane 1, 2
CC-BY 4.0
@article{CRMECA_2025__353_G1_583_0,
author = {Saad Yazir and Sadam Houcine Habib and Cheikh Kezrane},
title = {Delamination identification in beams using an inverse analytical approach based on the natural frequencies},
journal = {Comptes Rendus. M\'ecanique},
pages = {583--599},
publisher = {Acad\'emie des sciences, Paris},
volume = {353},
year = {2025},
doi = {10.5802/crmeca.295},
language = {en},
}
TY - JOUR AU - Saad Yazir AU - Sadam Houcine Habib AU - Cheikh Kezrane TI - Delamination identification in beams using an inverse analytical approach based on the natural frequencies JO - Comptes Rendus. Mécanique PY - 2025 SP - 583 EP - 599 VL - 353 PB - Académie des sciences, Paris DO - 10.5802/crmeca.295 LA - en ID - CRMECA_2025__353_G1_583_0 ER -
%0 Journal Article %A Saad Yazir %A Sadam Houcine Habib %A Cheikh Kezrane %T Delamination identification in beams using an inverse analytical approach based on the natural frequencies %J Comptes Rendus. Mécanique %D 2025 %P 583-599 %V 353 %I Académie des sciences, Paris %R 10.5802/crmeca.295 %G en %F CRMECA_2025__353_G1_583_0
Saad Yazir; Sadam Houcine Habib; Cheikh Kezrane. Delamination identification in beams using an inverse analytical approach based on the natural frequencies. Comptes Rendus. Mécanique, Volume 353 (2025), pp. 583-599. doi : 10.5802/crmeca.295. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.295/
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