Publisher DOI: 10.1016/j.jsv.2017.11.056
Title: Multiple spatially localized dynamical states in friction-excited oscillator chains
Language: English
Authors: Papangelo, Antonio 
Hoffmann, Norbert  
Grolet, Aurélien 
Stender, Merten  
Ciavarella, Michele 
Issue Date: 17-Mar-2018
Source: Journal of Sound and Vibration (417): 56-64 (2018-03-17)
Journal or Series Name: Journal of sound and vibration 
Abstract (english): 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 vd 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.
ISSN: 0022-460X
Institute: Strukturdynamik M-14 
Type: (wissenschaftlicher) Artikel
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