 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
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| In English (Mech. Solids): | | 4810 |
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| A. V. Karapetyan, "Global qualitative analysis of tippe top dynamics," Mech. Solids. 43 (3), 342-348 (2008) |
| Year |
2008 |
Volume |
43 |
Number |
3 |
Pages |
342-348 |
| DOI |
10.3103/S0025654408030059 |
| Title |
Global qualitative analysis of tippe top dynamics |
| Author(s) |
A. V. Karapetyan (Lomonosov Moscow State University, GSP-2, Leninskie Gory, Moscow, 119992, Russia, avkrapetyan@yandex.ru) |
| Abstract |
The tippe top is a dynamically and geometrically symmetric body supported by a horizontal plane. If one twists the tippe top rapidly about the symmetry axis so that the symmetry axis is vertical and its center of mass takes the lowest position, then it turns upside down by 180° and stats to rotate about the same symmetry axis with the center of mass occupying the highest position. A local analysis of tippe top dynamics (in a neighborhood of its rotations about the vertical symmetry axis) is given in [1, 2].
The simplest model of the tippe top is a dynamically symmetric inhomogeneous ball whose center of mass lies on the dynamic symmetry axis but does not coincide with its geometric center. Such a model allows global qualitative analysis of the top dynamics. |
| Received |
27 December 2007 |
| Link to Fulltext |
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