Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

The Basin Stability of Bi-Stable Friction-Excited Oscillators

Version 1 : Received: 5 November 2020 / Approved: 6 November 2020 / Online: 6 November 2020 (09:21:32 CET)

A peer-reviewed article of this Preprint also exists.

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

Abstract

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 has been 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.

Keywords

nonlinear dynamics; basin of attraction; self-excitation; bi-stability; multi-stability

Subject

Computer Science and Mathematics, Algebra and Number Theory

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.

Leave a public comment
Send a private comment to the author(s)
* All users must log in before leaving a comment
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.