International Conference on Engineering Vibration, Sofia, Bulgaria, International Conference on Engineering Vibration 2017

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Complete and cluster synchronization of dry friction oscillators
Andrzej Stefanski

Last modified: 2017-11-28

Abstract


Synchronization is a well known phenomenon in non-linear dynamics and is treated as correlation in time of at least two different processes. In scope of this article, we focus on complete and cluster synchronization in the systems of coupled dry friction oscillators, coupled by linear springs. The building block of the system is the classic stick-slip oscillator, which consists of mass, spring and belt-mass friction interface. The Stribeck friction itself is modelled using Stribeck friction model with exponential non-linearity. The oscillators in the systems are connected in nearest neighbour fashion, both in open and closed ring topology. We perform a numerical study of the properties of the dynamics of the systems in question, in two-parameter space (coupling
coeffcient vs. angular excitation frequency) and explore the possible configurations of cluster synchronization.