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IssuesArchive of Issues2003-4pp.39-51

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P. K. Plotnikov, "Models of friction forces for one-dimensional kinematic pairs and properties of motion of rigid bodies," Mech. Solids. 38 (4), 39-51 (2003)
Year 2003 Volume 38 Number 4 Pages 39-51
Title Models of friction forces for one-dimensional kinematic pairs and properties of motion of rigid bodies
Author(s) P. K. Plotnikov (Saratov)
Abstract A complete model of sliding and rolling friction forces is constructed within the framework of the Amonton-Coulomb law. Based on this model and the concept of a third body between the pair of bodies in friction contact, two models of friction forces are constructed, with the preliminary displacement effect being taken into account. All these models are utilized to analyze the motion of a number of mechanical devices.
References
1.  P. A. Bliman, M. Sorine, and A. Dauron, "Models de frottements secs pour les applications embarques. Applications au contact pneu/sol," in JEF'95.
2.  Yu. A. Zakharov and P. K. Plotnikov, "A model of friction force and applications to solving a number of problems of mechanics," Izv. AN. MTT [Mechanics of Solids], No. 6, pp. 56-65, 1992.
3.  I. V. Kragel'skii, M. N. Dobychin, and V. S. Kombalov, Foundations of Friction and Wear Design [in Russian], Mashinostroenie, Moscow, 1977.
4.  V. D. Kuznetsov, Solid-state Physics. Volume 4 [in Russian], Poligrafizdat, Tomsk, 1947.
5.  P. Contensou, "The relation between sliding friction and spinning friction and an application in the theory of a top," in Problems of Gyro Engineering [Russian translation], pp. 60-67, Mir, Moscow, 1967.
6.  V. Ph. Zhuravlev, "On a model of dry friction in the problem of rolling of rigid bodies," PMM [Applied Mathematics and Mechanics], Vol. 62, No. 5, pp. 762-767, 1998.
7.  P. Painlevé, Lectures on Friction [Russian translation], Gostekhizdat, Moscow, 1954.
8.  I. M. Voronkov, A Course in Theoretical Mechanics [in Russian], GITTL, Moscow, 1955.
9.  V. M. Matrosov and I. A. Filonenko, "On the solvability of the equations of motion of mechanical systems with sliding friction," PMM [Applied Mathematics and Mechanics], Vol. 58, No. 6, pp. 3-13, 1994.
10.  V. M. Matrosov and I. A. Filonenko, "Analytical mechanics of rigid bodies with friction," in V. M. Matrosov, V. V. Rumyantsev, and A. V. Karapetyan (Editors), Nonlinear Mechanics [in Russian], pp. 39-61, Fizmatlit, Moscow, 2001.
11.  D. M. Klimov, "Damping of natural vibrations of a gyro in gimbals with dry friction," Doklady AN SSSR, Vol. 132, No. 6, pp. 410-412, 1958.
12.  A. Yu. Ishlinskii, Mechanics of Gyroscopic Systems [in Russian], Izd-vo AN SSSR, Moscow, 1963.
13.  I. G. Malkin, Theory of Stability of Motion [in Russian], Nauka, Moscow, 1966.
14.  E. A. Nikitin and A. A. Balashova, Design of Gyroscopic Tachometers, Gyroscopic Integrators, and Accelerometers [in Russian], Mashinostroenie, Moscow, 1969.
Received 07 May 2002
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