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

Russian Academy of Sciences
in January 1936
(Translated from 1958)
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ISSN 0021-8928
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IssuesArchive of Issues2015-3pp.217-228

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A.P. Ivanov, "The equilibrium of systems with dry friction," J. Appl. Math. Mech. 79 (3), 217-228 (2015)
Year 2015 Volume 79 Issue 3 Pages 217-228
DOI 10.1016/j.jappmathmech.2015.09.002
Title The equilibrium of systems with dry friction
Author(s) A.P. Ivanov (Moscow Institute of Physics and Technology, Dolgoprudnyi, Russia,
Abstract The properties of the equilibrium positions of mechanical systems with Coulomb friction are discussed. A comparative analysis of various definitions of the concept of equilibrium is given. It is shown that the principles of virtual displacements and least constraint can be extended to the problem of statics with friction. The definitions of Lyapunov stability and Hill stability are examined; the latter approach has definite advantages in certain problems. Several mechanical examples are considered to illustrate the results obtained.
Received 1 September 2014
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