Physics-Informed Neural Networks for Inverse Problems in Structural Dynamics
Résumé
This study introduces an innovative approach that employs Physics-Informed Neural Networks (PINNs) to address inverse problems in structural analysis. Specifically, we apply this technique to the 4-th order PDE of Euler-Bernoulli formulation to approximate beam displacement and identify structural parameters, including damping and elastic modulus. Our methodology incorporates partial differential equations (PDEs) into the neural network’s loss function during training, ensuring it adheres to physics-based constraints. This approach simplifies complex structural analysis, even when specific boundary conditions are unavailable. Importantly, our model reliably captures structural behavior without resorting to synthetic noise in data. This study represents a pioneering effort in utilizing PINNs for inverse problems in structural analysis, offering potential inspiration for other fields. The reliable characterization of damping, a typically challenging task, underscores the versatility
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Mécanique [physics]Origine | Fichiers produits par l'(les) auteur(s) |
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https://hal.science/hal-04733801
Soumis le : lundi 18 novembre 2024-08:24:54
Dernière modification le : jeudi 21 novembre 2024-08:27:51
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Identifiants
- HAL Id : hal-04733801 , version 1
Citer
Rafaël Teloli, Maël Bigot, Lucas Coelho, Emmanuel Ramasso, Roberta Tittarelli, et al.. Physics-Informed Neural Networks for Inverse Problems in Structural Dynamics. SPIE Smart Structures + Nondestructive Evaluation 2024, Mar 2024, Long Beach, California, United States. ⟨hal-04733801⟩
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