 | | 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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| M.A. Munitsyna, "Spheroid Dynamics on a Horizontal Plane with Friction," Mech. Solids. 53 (S1), 60-67 (2018) |
| Year |
2018 |
Volume |
53 |
Number |
S1 |
Pages |
60-67 |
| DOI |
10.3103/S0025654418030093 |
| Title |
Spheroid Dynamics on a Horizontal Plane with Friction |
| Author(s) |
M.A. Munitsyna (Moscow Institute of Physics and Technology, Dolgoprudny, Moscow oblast, 141701 Russia, munitsyna@gmail.com) |
| Abstract |
This paper focuses on a spheroid with the center of mass coinciding with the geometric center moving in a horizontal plane with friction. For a certain class of initial conditions, a qualitative
analysis of the dynamics is given depending on the presence of sliding, rolling or pivoting friction. A
geometric interpretation of the results is given. The dynamics of a rigid rotation body on a plane with
friction was studied within the framework of classical models of friction (dry or viscous, as well as a
model of an absolutely rough plane), for example, see [1, 2]. A global qualitative analysis of the dynamics was carried out within the framework of interrelated friction models [3–5] for a uniform ball [6, 7]
as well as a ball [8] and an ellipsoid [9] with a displaced center of mass. The stability of stationary
motions in the case of a uniform spheroid on a plane with viscous friction is discussed in [10]. |
| Received |
27 October 2016 |
| Link to Fulltext |
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