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This article is cited in 47 scientific papers (total in 47 papers)
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.
Abstract:
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.
Received: 23.01.2002
Citation:
P. Kessler, O. M. O'Reilly, “The Ringing of Euler's Disk”, Regul. Chaotic Dyn., 7:1 (2002), 49–60
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https://www.mathnet.ru/eng/rcd802 https://www.mathnet.ru/eng/rcd/v7/i1/p49
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Abstract page: | 294 |
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