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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2015, Volume 11, Number 3, Pages 547–577 (Mi nd494)  

This article is cited in 19 scientific papers (total in 19 papers)

Translated papers

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

A. V. Borisovab, Yu. L. Karavaevcd, I. S. Mamaevd, N. N. Erdakovad, T. B. Ivanovabd, V. V. Tarasove

a National Research Nuclear University MEPhI, Kashirskoe sh. 31, Moscow, 115409 Russia
b Moscow Institute of Physics and Technology (State University), Institutskiy per. 9, Dolgoprudny, 141700 Russia
c Izhevsk State Technical University, Studencheskaya 7, Izhevsk, 426069 Russia
d Udmurt State University, Universitetskaya st. 1, Izhevsk, 426034, Russia
e Institute of Mechanics UB RAS, ul T. Baramzinoi 34, Izhevsk, 426067 Russia
References:
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
Ministry of Education and Science of the Russian Federation
НШ-2964.2014.1
Russian Foundation for Basic Research 15-38-20879 мол_а_вед
15-08-09261_а
14-01-00289_а
Received: 10.07.2015
Revised: 24.08.2015
English version:
Regul. Chaotic Dyn., 2015, Volume 20, Issue 5, Pages 518–541
DOI: https://doi.org/10.1134/S1560354715050020
Bibliographic databases:
Document Type: Article
UDC: 539.3; 531.37
MSC: 70F40, 70E18, 70-05
Language: Russian
Citation: A. V. Borisov, Yu. L. Karavaev, I. S. Mamaev, N. N. Erdakova, T. B. Ivanova, V. V. Tarasov, “Experimental Investigation of the Motion of a Body with an Axisymmetric Base Sliding on a Rough Plane”, Nelin. Dinam., 11:3 (2015), 547–577; Regul. Chaotic Dyn., 20:5 (2015), 518–541
Citation in format AMSBIB
\Bibitem{BorKarMam15}
\by A.~V.~Borisov, Yu.~L.~Karavaev, I.~S.~Mamaev, N.~N.~Erdakova, T.~B.~Ivanova, V.~V.~Tarasov
\paper Experimental Investigation of the Motion of a Body with an Axisymmetric Base Sliding on a Rough Plane
\jour Nelin. Dinam.
\yr 2015
\vol 11
\issue 3
\pages 547--577
\mathnet{http://mi.mathnet.ru/nd494}
\transl
\jour Regul. Chaotic Dyn.
\yr 2015
\vol 20
\issue 5
\pages 518--541
\crossref{https://doi.org/10.1134/S1560354715050020}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84944446581}
Linking options:
  • https://www.mathnet.ru/eng/nd494
  • https://www.mathnet.ru/eng/nd/v11/i3/p547
    Translation
    This publication is cited in the following 19 articles:
    1. Irina G. Goryacheva, Alexandra A. Zobova, “Dynamics of deformable contacting bodies with sliding, rolling, and spinning”, International Journal of Mechanical Sciences, 216 (2022), 106981  crossref
    2. Alexey A. Kireenkov, Sergey I. Zhavoronok, “Anisotropic Combined Dry Friction in Problems of Pneumatics' Dynamics”, J. Vib. Eng. Technol., 8:2 (2020), 365  crossref
    3. Tatiana B. Ivanova, “Non‐holonomic rolling of a ball on the surface of a rotating cylinder”, Z Angew Math Mech, 100:12 (2020)  crossref
    4. A.V. Karapetyan, A.Y. Shamin, “On the movement of the Chaplygin sleigh on a horizontal plane with dry friction”, Acta Astronautica, 176 (2020), 733  crossref
    5. Alexandra A. Zobova, “Dry friction distributed over a contact patch between a rigid body and a visco-elastic plane”, Multibody Syst Dyn, 45:2 (2019), 203  crossref
    6. E. I. Kugushev, T. V. Popova, “O dvizhenii shaiby po gorizontalnoi ploskosti v modeli vyazkogo treniya s peremennym koeffitsientom”, Nelineinaya dinam., 14:1 (2018), 145–153  mathnet  crossref  elib
    7. Alena Galajdová, Ivan Virgala, Michal Kelemen, Lubica Miková, Tomás Lipták, Tatiana Kelemenová, “Influence of pipe geometric deviation on bristled in-pipe mobile robot locomotion”, International Journal of Advanced Robotic Systems, 15:3 (2018), 172988141877580  crossref
    8. 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
    9. Alexey V Borisov, Tatiana B Ivanova, Yury L Karavaev, Ivan 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
    10. Veer Alakshendra, Shital S Chiddarwar, “Simultaneous balancing and trajectory tracking control for an omnidirectional mobile robot with a cylinder using switching between two robust controllers”, International Journal of Advanced Robotic Systems, 14:6 (2017), 172988141773872  crossref
    11. Jan Semjon, Rudolf Janos, Marek Sukop, Marek Vagas, Jozef Varga, Darina Hroncova, Alexander Gmiterko, “Mutual comparison of developed actuators for robotic arms of service robots”, International Journal of Advanced Robotic Systems, 14:6 (2017), 172988141774354  crossref
    12. Rudolf Janos, Marek Sukop, Jan Semjon, Marek Vagas, Alena Galajdova, Peter Tuleja, Lucia Koukolová, Peter Marcinko, “Conceptual design of a leg-wheel chassis for rescue operations”, International Journal of Advanced Robotic Systems, 14:6 (2017), 172988141774355  crossref
    13. T. B. Ivanova, N. N. Erdakova, Yu. L. Karavaev, “Experimental investigation of the dynamics of a brake shoe”, Dokl. Phys., 61:12 (2016), 611  crossref
    14. Michał Szewc, Grzegorz Kudra, Jan Awrejcewicz, Springer Proceedings in Mathematics & Statistics, 182, Dynamical Systems: Theoretical and Experimental Analysis, 2016, 351  crossref
    15. Alexander P. Ivanov, Nadezhda N. Erdakova, “On a mechanical lens”, International Journal of Non-Linear Mechanics, 79 (2016), 115  crossref
    16. Jaap Eldering, “Realizing Nonholonomic Dynamics as Limit of Friction Forces”, Regul. Chaotic Dyn., 21:4 (2016), 390–409  mathnet  crossref  isi  scopus
    17. 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  mathnet  crossref  crossref  isi  scopus
    18. A.A. Zobova, “A review of models of distributed dry friction”, Journal of Applied Mathematics and Mechanics, 80:2 (2016), 141  crossref
    19. A. V. Borisov, I. S. Mamaev, “Notes on new friction models and nonholonomic mechanics”, Phys. Usp., 58:12 (2015), 1220–1222  mathnet  mathnet  crossref  crossref  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Нелинейная динамика
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