Multiple spatially localized dynamical states in friction-excited oscillator chains - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Sound and Vibration Année : 2018

Multiple spatially localized dynamical states in friction-excited oscillator chains

Résumé

Friction-induced vibrations are known to affect many engineering applications. Here, we study a chain of friction-excited oscillators with nearest neighbor elastic coupling. The excitation is provided by a moving belt which moves at a certain velocity v d while friction is modelled with an exponentially decaying friction law. It is shown that in a certain range of driving velocities, multiple stable spatially localized solutions exist whose dynamical behavior (i.e. regular or irregular) depends on the number of oscillators involved in the vibration. The classical non-repeatability of friction-induced vibration problems can be interpreted in light of those multiple stable dynamical states. These states are found within a "snaking-like" bifurcation pattern. Contrary to the classical Anderson localization phenomenon, here the underlying linear system is perfectly homogeneous and localization is solely triggered by the friction nonlinearity.
Fichier principal
Vignette du fichier
JSV-D-17-01148R1.pdf (1.35 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02121542 , version 1 (14-12-2019)

Licence

Paternité

Identifiants

Citer

A. Papangelo, Norbert Hoffmann, Aurelien Grolet, Merten Stender, M. Ciavarella. Multiple spatially localized dynamical states in friction-excited oscillator chains. Journal of Sound and Vibration, 2018, 417, pp.56-64. ⟨10.1016/j.jsv.2017.11.056⟩. ⟨hal-02121542⟩
26 Consultations
83 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More