Multiple spatially localized dynamical states in friction-excited oscillator chains
File(s)JSV-D-17-01148R1.pdf (4.68 MB)
Accepted version
Author(s)
Papangelo, A
Hoffmann, N
Grolet, A
Stender, M
Ciavarella, M
Type
Journal Article
Abstract
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.
Date Issued
2017-12-08
Date Acceptance
2017-11-30
Citation
Journal of Sound and Vibration, 2017, 417, pp.56-64
ISSN
0022-460X
Publisher
Elsevier
Start Page
56
End Page
64
Journal / Book Title
Journal of Sound and Vibration
Volume
417
Copyright Statement
© 2017 Elsevier Ltd. All rights reserved. This manuscript is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/
Subjects
02 Physical Sciences
09 Engineering
Acoustics
Publication Status
Published