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ЖУРНАЛЫ // Regular and Chaotic Dynamics // Архив

Regul. Chaotic Dyn., 2002, том 7, выпуск 1, страницы 49–60 (Mi rcd802)

Эта публикация цитируется в 48 статьях

Nonholonomic Systems

The Ringing of Euler's Disk

P. Kessler, O. M. O'Reilly

Department of Mechanical Engineering, University of California at Berkeley, Berkeley, California 94720-1740, U.S.A.

Аннотация: The motion of disks spun on tables has the well-known feature that the associated acoustic signal increases in frequency as the motion tends towards 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, we 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, we conjecture a new mechanism for the abrupt halt of the disk and the increased acoustic frequency associated with the decline of the disk.

MSC: 70E18, 70E40

Поступила в редакцию: 23.01.2002

Язык публикации: английский

DOI: 10.1070/RD2002v007n01ABEH000195



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