 | | 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
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| << Previous article | Volume 48, Issue 2 / 2013 | Next article >> |
| G.M. Rozenblat, "Motions of a Top on a Smooth Plane without Separation," Mech. Solids. 48 (2), 128-133 (2013) |
| Year |
2013 |
Volume |
48 |
Number |
2 |
Pages |
128-133 |
| DOI |
10.3103/S0025654413020027 |
| Title |
Motions of a Top on a Smooth Plane without Separation |
| Author(s) |
G.M. Rozenblat (Moscow State Automobile and Road Technical University, Leningradskii pr-t 64, Moscow, 125319 Russia, gr51@mail.ru) |
| Abstract |
The problem on the motion of a heavy top (a dynamically and geometrically symmetric rigid body) without separation on a smooth horizontal plane is considered. In the case of a spherical top surface (the Thomson top), necessary and sufficient conditions on the parameters and the initial positions and velocities of the body under which the motion is all the time without separation are given. These conditions are represented by explicit analytic formulas that can be used in practice. |
| Keywords |
Thomson top, smooth surface, separation conditions |
| References |
| 1. | A. P. Markeev,
Dynamics of a Body Contacting with a Rigid Surface
(Nauka, Moscow, 1992)
[in Russian]. |
| 2. | G. M. Rozenblat,
"A Method for Determination of the Parameters of Motion of a Top That Moves
without Bouncing on a Smooth Plane,"
Nelin. Din.
4 (1), 87-98 (2008). |
| 3. | V. Ph. Zhuravlev,
Foundations of Theoretical Mechanics
(Fizmatlit, Moscow, 2008)
[in Russian]. |
|
| Received |
11 March 2010 |
| Link to Fulltext |
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