The ringing of Euler's disk
type: Item
instance of: scholarly article
title: The ringing of Euler's disk
zbMATH Open document ID: 1013.70005
author: Yanyan Li
published in: Regular and Chaotic Dynamics
publication date: 2003-02-24T00:00:00Z
review text: The motion of disks on tables has the well-known feature that the associated acoustic signal increases in frequency as the motion tends toward its abrupt halt. Recently, a commercial toy, known as Euler's disk, was designed to maximize the time before this abrupt ending. In this paper, the authors present and simulate a rigid body model for Euler's disk. Based on the nature of the contact force between the disk and the table revealed by the simulations, they conjecture a new mechanism for the abrupt halt of the disk and increased acoustic frequency associated with the decline of the disk.
Mathematics Subject Classification ID: 70E18
Mathematics Subject Classification ID: 70E40
Mathematics Subject Classification ID: 70F25
zbMATH DE Number: 1873391
zbMATH Keywords: nonholonomic constraint
zbMATH Keywords: Euler's disk
zbMATH Keywords: rigid body model
zbMATH Keywords: contact force
zbMATH Keywords: acoustic frequency
reviewed by: I. A. Taimanov
MaRDI profile type: Publication
DOI: 10.1070/RD2002V007N01ABEH000195
description: scientific article; zbMATH DE number 1873391