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Regul. Chaotic Dyn., 2015, Volume 20, Issue 5, Pages 518–541 (Mi rcd19)  

This article is cited in 13 scientific papers (total in 14 papers)

Experimental Investigation of the Motion of a Body with an Axisymmetric Base Sliding on a Rough Plane

Alexey V. Borisovab, Yury L. Karavaevcd, Ivan S. Mamaevd, Nadezhda N. Erdakovad, Tatyana B. Ivanovada, Valery V. Tarasove

a Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, 141700 Russia
b National Research Nuclear University “MEPhI”, Kashirskoe sh. 31, Moscow, 115409 Russia
c M. T. Kalashnikov Izhevsk State Technical University, ul. Studencheskaya 7, Izhevsk, 426069 Russia
d Udmurt State University, ul. Universitetskaya 1, Izhevsk, 426034 Russia
e Institute of Mechanics UB RAS, ul T. Baramzinoi 34, Izhevsk, 426067 Russia

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.

Keywords: dry friction, linear pressure distribution, two-dimensional motion, planar motion, Coulomb law

Funding Agency Grant Number
Russian Foundation for Basic Research 15-38-20879 mol_a_ved
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.


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MSC: 70F40, 70E18, 70-05
Received: 10.07.2015

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

Citation in format AMSBIB
\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

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    This publication is cited in the following articles:
    1. A. V. Borisov, I. S. Mamaev, “Notes on new friction models and nonholonomic mechanics”, Phys. Usp., 58:12 (2015), 1220–1222  mathnet  crossref  crossref  adsnasa  isi  elib
    2. Jaap Eldering, “Realizing Nonholonomic Dynamics as Limit of Friction Forces”, Regul. Chaotic Dyn., 21:4 (2016), 390–409  mathnet  crossref
    3. Yu. L. Karavaev, A. A. Kilin, “Nonholonomic dynamics and control of a spherical robot with an internal omniwheel platform: theory and experiments”, Proc. Steklov Inst. Math., 295 (2016), 158–167  mathnet  crossref  crossref  mathscinet  isi  elib
    4. T. B. Ivanova, N. N. Erdakova, Yu. L. Karavaev, “Experimental investigation of the dynamics of a brake shoe”, Dokl. Phys., 61:12 (2016), 611–614  crossref  isi  scopus
    5. A. P. Ivanov, N. N. Erdakova, “On a mechanical lens”, Int. J. Non-Linear Mech., 79 (2016), 115–121  crossref  isi  scopus
    6. A. V. Borisov, I. S. Mamaev, N. N. Erdakova, “Dynamics of a body sliding on a rough plane and supported at three points”, Theor. Appl. Mech., 43:2 (2016), 169–190  crossref  isi  scopus
    7. A. A. Zobova, “A review of models of distributed dry friction”, J. Appl. Math. Mech., 80:2 (2016), 141–148  crossref  mathscinet  isi  scopus
    8. Yu. L. Karavaev, A. V. Klekovkin, A. A. Kilin, “Dinamicheskaya model treniya kacheniya sfericheskikh tel po ploskosti bez proskalzyvaniya”, Nelineinaya dinam., 13:4 (2017), 599–609  mathnet  crossref  elib
    9. R. Janos, M. Sukop, J. Semjon, M. Vagas, A. Galajdova, P. Tuleja, L. Koukolova, P. Marcinko, “Conceptual design of a leg-wheel chassis for rescue operations”, Int. J. Adv. Robot. Syst., 14:6 (2017), 1729881417743556  crossref  isi  scopus
    10. J. Semjon, R. Janos, M. Sukop, M. Vagas, J. Varga, D. Hroncova, A. Gmiterko, “Mutual comparison of developed actuators for robotic arms of service robots”, Int. J. Adv. Robot. Syst., 14:6 (2017), 1729881417743540  crossref  isi  scopus
    11. V. Alakshendra, Sh. S. Chiddarwar, “Simultaneous balancing and trajectory tracking control for an omnidirectional mobile robot with a cylinder using switching between two robust controllers”, Int. J. Adv. Robot. Syst., 14:6 (2017), 1729881417738728  crossref  mathscinet  isi  scopus
    12. A. Galajdova, I. Virgala, M. Kelemen, L. Mikova, T. Liptak, T. Kelemenova, “Influence of pipe geometric deviation on bristled in-pipe mobile robot locomotion”, Int. J. Adv. Robot. Syst., 15:3 (2018)  crossref  isi  scopus
    13. O. Silantyeva, N. Dmitriev, “Motion of a thin elliptic plate under symmetric and asymmetric orthotropic friction forces”, Surf. Topogr.-Metrol. Prop., 6:1 (2018), 015004  crossref  isi  scopus
    14. V A. Borisov, T. B. Ivanova, Yu. L. Karavaev, I. S. Mamaev, “Theoretical and experimental investigations of the rolling of a ball on a rotating plane (turntable)”, Eur. J. Phys., 39:6 (2018), 065001  crossref  isi  scopus
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