Abstract:
In this paper we investigate the dynamics of a body with a flat base (cylinder) sliding on a horizontal rough plane. For analysis we use two approaches. In one of the approaches using a friction machine we determine the dependence of friction force on the velocity of motion of cylinders. In the other approach using a high-speed camera for video filming and the method of presentation of trajectories on a phase plane for analysis of results, we investigate the qualitative and quantitative behavior of the motion of cylinders on a horizontal plane. We compare the results obtained with theoretical and experimental results found earlier. In addition, we give a systematic review of the well-known experimental and theoretical results in this area.
The work of A. V. Borisov, I. S. Mamaev and T. B. Ivanova was carried out within the framework of the state assignment for institutions of higher education. The work of Yu. L. Karavaev was supported by the RFBR grant no. 15-38-20879 mol_a_ved. The work of N. N. Erdakova was supported by the RFBR grant no. 15-08-09261-a.
Citation:
Alexey V. Borisov, Yury L. Karavaev, Ivan S. Mamaev, Nadezhda N. Erdakova, Tatyana B. Ivanova, Valery V. Tarasov, “Experimental Investigation of the Motion of a Body with an Axisymmetric Base Sliding on a Rough Plane”, Regul. Chaotic Dyn., 20:5 (2015), 518–541
\Bibitem{BorKarMam15}
\by Alexey V. Borisov, Yury L. Karavaev, Ivan S. Mamaev, Nadezhda N. Erdakova, Tatyana B. Ivanova, Valery V. Tarasov
\paper Experimental Investigation of the Motion of a Body with an Axisymmetric Base Sliding on a Rough Plane
\jour Regul. Chaotic Dyn.
\yr 2015
\vol 20
\issue 5
\pages 518--541
\mathnet{http://mi.mathnet.ru/rcd19}
\crossref{https://doi.org/10.1134/S1560354715050020}
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This publication is cited in the following 21 articles:
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A. P. Ivanov, N. N. Erdakova, “On a mechanical lens”, Int. J. Non-Linear Mech., 79 (2016), 115–121
Alexey V. Borisov, Ivan S. Mamaev, Nadezhda N. Erdakova, “Dynamics of a body sliding on a rough plane and supported at three points”, Theor. Appl. Mech., 43:2 (2016), 169–190
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Michał Szewc, Grzegorz Kudra, Jan Awrejcewicz, Springer Proceedings in Mathematics & Statistics, 182, Dynamical Systems: Theoretical and Experimental Analysis, 2016, 351
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