Cluster synchronization of dry friction oscillators

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 b...

Full description

Bibliographic Details
Main Authors: Marszal Michał, Stefański Andrzej
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:MATEC Web of Conferences
Online Access:https://doi.org/10.1051/matecconf/201814810004
id doaj-49f11fcc13f2416686b0549273a74e53
record_format Article
spelling doaj-49f11fcc13f2416686b0549273a74e532021-04-02T15:32:28ZengEDP SciencesMATEC Web of Conferences2261-236X2018-01-011481000410.1051/matecconf/201814810004matecconf_icoev2018_10004Cluster synchronization of dry friction oscillatorsMarszal MichałStefański AndrzejSynchronization 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 coefficient vs. angular excitation frequency) and explore the possible configurations of cluster synchronization.https://doi.org/10.1051/matecconf/201814810004
collection DOAJ
language English
format Article
sources DOAJ
author Marszal Michał
Stefański Andrzej
spellingShingle Marszal Michał
Stefański Andrzej
Cluster synchronization of dry friction oscillators
MATEC Web of Conferences
author_facet Marszal Michał
Stefański Andrzej
author_sort Marszal Michał
title Cluster synchronization of dry friction oscillators
title_short Cluster synchronization of dry friction oscillators
title_full Cluster synchronization of dry friction oscillators
title_fullStr Cluster synchronization of dry friction oscillators
title_full_unstemmed Cluster synchronization of dry friction oscillators
title_sort cluster synchronization of dry friction oscillators
publisher EDP Sciences
series MATEC Web of Conferences
issn 2261-236X
publishDate 2018-01-01
description 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 coefficient vs. angular excitation frequency) and explore the possible configurations of cluster synchronization.
url https://doi.org/10.1051/matecconf/201814810004
work_keys_str_mv AT marszalmichał clustersynchronizationofdryfrictionoscillators
AT stefanskiandrzej clustersynchronizationofdryfrictionoscillators
_version_ 1721559768877760512