Terminal movement of the thin elliptical plate on the horizontal plane with orthotropic friction
DOI:
https://doi.org/10.21638/11701/spbu01.2016.118Abstract
In a number of engineering problems friction forces can vary significantly depending on the direction of sliding. This research deals with orthotropic friction. The presented model describes final motion of the thin elliptical plate on the horizontal plane. The system of differential equations, which describe dynamical behavior of the plate, is solved numerically for different initial conditions. Final movement of the plate depends from interrellations between the moment of inertia, friction coefficients and plate orientation. The comparison of the motion of elliptical and circle plates is presented. It is shown that sliding and spinning end simultaneously for both types of plates. The results may be used for more accurate simulations of railway contact. Refs 14. Figs 3. Tables 2.Downloads
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References
Литература
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References
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2. Konyukhov A., Vielsack P., Schweizerhof K., “On coupled models of anisotropic contact surfaces and their experimental validation”, Wear 264, 579–588 (2008).
3. Dmitriev N. N., “Movement of the disk and the ring over the plane with anisotropic friction”, J. Fric. Wear 23 (1), 10–15 (2002) [in Russian].
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7. Piotrowski J., Chollet H., “Wheel-rail contact models for vehicle system dynamics including multipoint contact”, Vehicle Syst. Dyn. 43(6–7), 455–483 (2005).
8. Ishlinskii A.Yu., Sokolov B.N., Chernous’ko F. L., “On the motion of plane bodies in the presence of dry friction”, Izv. AN SSSR. MTT (Mechanics of Solids) (4), 17–28 (1981) [in Russian].
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10. Voyenli K., Eriksen E., “On the motion of an ice hockey puck”, Amer. J. Phys. 53, 1149–1153 (1985).
11. Zmitrowicz A., “Mathematical descriptions of anisotropic friction”, International Journal of Solids and Structures 25(8), 837–862 (1989).
12. Farkas Z., Bartels G., Unger T., Wolf D.E., “Frictional coupling between sliding and spinning motion”, Phys. Rev. Lett. 90, Issue 24, 248–302 (2003).
13. Dmitriev N.N., Silantyeva O. A., “About the movement of a solid body on a plane surface in accordance with elliptic contact area and anisotropic friction force”, Proc. of jointly organised WCCM XI, ECCM V, ECFD VI, Spain, CIMNE IV, 4440–4452 (2014).
14. Lurye A. I., Analytical Mechanic (Fizmatlit, Moscow, 1961) [in Russian].
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Published
2020-10-19
How to Cite
Dmitriev, N. N., & Silantyeva, O. A. (2020). Terminal movement of the thin elliptical plate on the horizontal plane with orthotropic friction. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 3(1), 1. https://doi.org/10.21638/11701/spbu01.2016.118
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Mechanics
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Articles of "Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.
