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The basin stability of bi-stable friction-excited oscillators
Citation Link: https://doi.org/10.15480/882.3185
Publikationstyp
Journal Article
Date Issued
2020-12-08
Sprache
English
Author(s)
Institut
TORE-DOI
TORE-URI
Journal
Volume
8
Start Page
1
End Page
12
Article Number
105
Citation
Lubricants 8 (12): 105 (2020)
Publisher DOI
Scopus ID
Publisher
Multidisciplinary Digital Publishing Institute
Stability considerations play a central role in structural dynamics to determine states that are robust against perturbations during the operation. Linear stability concepts, such as the complex eigenvalue analysis, constitute the core of analysis approaches in engineering reality. However, most stability concepts are limited to local perturbations, i.e., they can only measure a state’s stability against small perturbations. Recently, the concept of <i>basin stability</i> was proposed as a global stability concept for multi-stable systems. As multi-stability is a well-known property of a range of nonlinear dynamical systems, this work studies the basin stability of bi-stable mechanical oscillators that are affected and self-excited by dry friction. The results indicate how the basin stability complements the classical binary stability concepts for quantifying how stable a state is given a set of permissible perturbations.
Subjects
nonlinear dynamics
basin of attraction
self-excitation
bi-stability
multi-stability
DDC Class
620: Ingenieurwissenschaften
Publication version
publishedVersion
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