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The Basin Stability of Bi-Stable Friction-Excited Oscillators

Hamburg University of Technology, 21073 Hamburg, Germany
Imperial College London, London SW7 1AL, UK
Politecnico di Bari, 70125 Bari, Italy
Author to whom correspondence should be addressed.
Lubricants 2020, 8(12), 105;
Received: 5 November 2020 / Revised: 25 November 2020 / Accepted: 27 November 2020 / Published: 8 December 2020
(This article belongs to the Special Issue Interfacial Dissipative Phenomena in Tribomechanical Systems)
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 basin stability 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. View Full-Text
Keywords: nonlinear dynamics; basin of attraction; self-excitation; bi-stability; multi-stability nonlinear dynamics; basin of attraction; self-excitation; bi-stability; multi-stability
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MDPI and ACS Style

Stender, M.; Hoffmann, N.; Papangelo, A. The Basin Stability of Bi-Stable Friction-Excited Oscillators. Lubricants 2020, 8, 105.

AMA Style

Stender M, Hoffmann N, Papangelo A. The Basin Stability of Bi-Stable Friction-Excited Oscillators. Lubricants. 2020; 8(12):105.

Chicago/Turabian Style

Stender, Merten; Hoffmann, Norbert; Papangelo, Antonio. 2020. "The Basin Stability of Bi-Stable Friction-Excited Oscillators" Lubricants 8, no. 12: 105.

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