|
Эта публикация цитируется в 47 научных статьях (всего в 47 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.
Поступила в редакцию: 23.01.2002
Образец цитирования:
P. Kessler, O. M. O'Reilly, “The Ringing of Euler's Disk”, Regul. Chaotic Dyn., 7:1 (2002), 49–60
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd802 https://www.mathnet.ru/rus/rcd/v7/i1/p49
|
Статистика просмотров: |
Страница аннотации: | 299 |
|