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The Tippedisk: A Minimal Model For Friction-Induced Inversion

Date

Type

Konferenciacikk

Language

en

Reading access rights:

Open access

Rights Holder

Budapest University of Technology and Economics

Conference Date

2021.12.12-2021.12.15

Conference Place

Online

Conference Title

ECCOMAS Thematic Conference on Multibody Dynamics

ISSN, e-ISSN

978-963-421-870-9

Container Title

Proceedings of the 10th ECCOMAS Thematic Conference on MULTIBODY DYNAMICS

Department

Műszaki Mechanikai Tanszék

First Page

37

Subject (OSZKAR)

gyroscopic system
friction-induced instability
dynamics
tippetop

Gender

Konferencia kiadvány

University

Budapesti Műszaki és Gazdaságtudományi Egyetem

OOC works

Abstract

The tippedisk is a new mechanical-mathematical archetype for friction induced instability phenomena, showing an inversion similar to the inversion of the tippetop. Unlike the tippetop, the tippedisk has no rotational symmetry, which greatly complicates its analysis. Since the system cannot be reduced to a planar one, one has to consider the full three-dimensional kinematics, being intrinsically nonlinear. In this work a new minimal model is derived that contains the main relevant physical effects so that the inversion phenomenon can be described qualitatively. The in-depth analysis leads to slow-fast systems with homoclinic connections and global bifurcations.

Description

Keywords