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IssuesArchive of Issues2018-7pp.60-67

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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
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