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Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
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ISSN 0021-8928
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IssuesArchive of Issues2009-4pp.367-370

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A.V. Karapetyan, "A two-parameter friction model," J. Appl. Math. Mech. 73 (4), 367-370 (2009)
Year 2009 Volume 73 Issue 4 Pages 367-370
Title A two-parameter friction model
Author(s) A.V. Karapetyan (Moscow, Russia, avkarapetyan@yandex.ru)
Abstract The new friction model proposed in this paper takes all types of friction into account: sliding, pivoting and rolling friction. The model depends on two parameters. With a zero value of one parameter it is converted into the Contensou-Zhuravlev model, and with a zero value of the other parameter it is converted into the Coulomb model.

The interaction of a body with the bearing surface during translational motion of the body is described fairly adequately by the classical model of dry friction (Coulomb's law). In the case of plane-parallel translational motion of the body, the Contensou-Zhuravlev model must be used;[1] and [2] this model takes both sliding friction and pivoting friction into account. The friction model proposed below is suitable for describing arbitrary translational motion of the body.
Received 24 December 2008
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