Reduced-order models for damped geometrically non-linear vibrations of thin shells via real normal form - ENSTA Paris - École nationale supérieure de techniques avancées Paris Accéder directement au contenu
Communication Dans Un Congrès Année : 2006

Reduced-order models for damped geometrically non-linear vibrations of thin shells via real normal form

Résumé

Reduced-order models for a general class of non-linear oscillators with viscous damping, quadratic and cubic non-linearities, are derived thanks to a real normal form procedure. A special emphasis is put on the treatment of the damping terms, and its effect on the normal dynamics. In particular, it is demonstrated that the type of non-linearity (hardening/softening behaviour) depends on damping. The methodology is then applied for reducing the non-linear dynamics exhibited by a circular cylindrical shell, hamonically excited in the spectral neighbourhood of the natural frequency of an asymmetric mode. The approximation, which consists in using time-invariant manifold instead of computing an accurate time-dependent one, is discussed. The results show that the method is efficient for producing accurate reduced-order models without a special need for intensive numerical computations. Validity limits of the approximation is then assessed by using the amplitude of the forcing as bifurcation parameter. Finally, the method is compared to the Proper Orthogonal Decomposition method (POD).
Fichier principal
Vignette du fichier
TAT_Samos.pdf (466.09 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01154711 , version 1 (22-05-2015)

Identifiants

  • HAL Id : hal-01154711 , version 1

Citer

Cyril Touzé, Marco Amabili, Olivier Thomas. Reduced-order models for damped geometrically non-linear vibrations of thin shells via real normal form. Second International Conference on Non-Linear Normal Modes and Localization, 2006, Samos, Greece. ⟨hal-01154711⟩
40 Consultations
43 Téléchargements

Partager

Gmail Facebook X LinkedIn More