Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2015-6pp.539-545

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A.M. Rusinova, "The dynamics of a disk on a rough inclined plane when there is an uneven normal stress distribution," J. Appl. Math. Mech. 79 (6), 539-545 (2015)
Year 2015 Volume 79 Issue 6 Pages 539-545
DOI 10.1016/j.jappmathmech.2016.04.012
Title The dynamics of a disk on a rough inclined plane when there is an uneven normal stress distribution
Author(s) A.M. Rusinova (M.V. Lomonosov Moscow State University, Moscow, Russia, annarusinova@mail.ru)
Abstract The motion of a uniform circular disk of non-zero height on a fixed rough inclined plane is considered on the assumption that the disk moves without losing contact, resting on the plane with its own base. The friction forces and moment are calculated using a model of the contact stress distribution, including three independent parameters. During the translational motion of the disk, the normal pressure distribution corresponds to the normal stress distribution on the base of a punch with a flat base and, for zero height of the disk, agrees with Galin's law. A qualitative analysis of the dynamics of the disk in the case when the slope of the plane is less than the Coulomb friction coefficient is given.
Received 18 September 2014
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