Nonlinear Modes of Cantilever Beams at Extreme Amplitudes: Numerical Computation and Experiments - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2022

Nonlinear Modes of Cantilever Beams at Extreme Amplitudes: Numerical Computation and Experiments

Résumé

A novel method for the numerical computation of the nonlinear normal modes (NNMs) of a highly flexible cantilever beam is presented. The flexible cantilever is modeled using a 2D finite element discretization of the geometrically exact beam model, wherein geometric nonlinearities relating to the rotation are kept entirely intact. The model is then solved using the proposed solution method, which is fully frequency domain-based and involves a novel combination of a harmonic balance (HBM) Fourier expansion with asymptotic numerical (ANM) continuation for periodic solutions. The NNMs are also calculated experimentally using a flexible cantilever specimen mounted to a shaker table. The experimental NNMs can be compared to their numerical counterparts in order to validate the frequency domain numerical technique.
Fichier principal
Vignette du fichier
12583_deb.pdf (337.08 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04134881 , version 1 (20-06-2023)

Identifiants

Citer

Marielle Debeurre, Aurélien Grolet, Pierre-Olivier Mattei, Bruno Cochelin, Olivier Thomas. Nonlinear Modes of Cantilever Beams at Extreme Amplitudes: Numerical Computation and Experiments. 40th IMAC, A Conference and Exposition on Structural Dynamics, Society for Experimental Mechanics, Feb 2022, Orlando (FL), United States. pp.245-248, ⟨10.1007/978-3-031-04086-3_35⟩. ⟨hal-04134881⟩
35 Consultations
34 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More