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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2005, Volume 1, Number 2, Pages 247–260
(Mi nd202)
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This article is cited in 3 scientific papers (total in 3 papers)
The ringing of Euler's disk
P. Kessler, O. M. O'Reilly Department of Mechanical Engineering, University of California at Berkeley
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.
Keywords:
rigid body, motion of disk, equations of motion, dissipation.
Citation:
P. Kessler, O. M. O'Reilly, “The ringing of Euler's disk”, Nelin. Dinam., 1:2 (2005), 247–260
Linking options:
https://www.mathnet.ru/eng/nd202 https://www.mathnet.ru/eng/nd/v1/i2/p247
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Statistics & downloads: |
Abstract page: | 308 | Full-text PDF : | 110 | First page: | 1 |
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