 | | 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: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| Munitsyna M.A., "Transition Processes in Tippe-Top Dynamics," Mech. Solids. 55 (8), 1178-1184 (2020) |
| Year |
2020 |
Volume |
55 |
Number |
8 |
Pages |
1178-1184 |
| DOI |
10.3103/S0025654420080178 |
| Title |
Transition Processes in Tippe-Top Dynamics |
| Author(s) |
Munitsyna M.A. (Moscow Institute of Physics and Technology, Dolgoprudny, Russia; Trapeznikov Institute of Control Sciences RAS, Moscow, Russia, munitsyna@gmail.com) |
| Abstract |
The simplest model of a tippe-top is a nonhomogeneous dynamically symmetric ball whose
center of mass lies on the axis of dynamic symmetry, but does not coincide with the geometric center.
Local analysis of this model is presented in [1, 2] and global qualitative analysis is presented in [3–5].
Numerical studies for multicomponent dry friction were carried out in [6]. A comparative analysis of
various models was carried out in [7]. A method of generalized Smale diagrams [9, 10] regarding the
problem of the motion of a tippe-top top on a viscoelastic plane is presented in [8].
In this paper, approximate equations that describe the dynamics of the top and allow us to supplement
the qualitative analysis with quantitative estimates for multicomponent models of dry and viscous friction under a certain class of initial conditions have been presented. |
| Keywords |
friction, tippe-top, Smale diagrams |
| Received |
02 March 2020 | Revised |
21 April 2020 | Accepted |
06 May 2020 |
| Link to Fulltext |
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