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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2015, Volume 25, Issue 4, Pages 583–592
DOI: https://doi.org/10.20537/vm150414
(Mi vuu511)
 

This article is cited in 2 scientific papers (total in 2 papers)

MECHANICS

Influence of rolling friction on the controlled motion of a robot wheel

E. N. Pivovarovaa, A. V. Klekovkinb

a Department of Theoretical Physics, Udmurt State University, ul. Universitetskaya, 1, Izhevsk, 426034, Russia
b Izhevsk State Technical University, ul. Studencheskaya, 7, Izhevsk, 426069, Russia
Full-text PDF (417 kB) Citations (2)
References:
Abstract: This paper presents an experimental investigation of the influence of rolling friction on the dynamics of a robot wheel. The robot is set in motion by changing the proper gyrostatic momentum using the controlled rotation of a rotor installed in the robot. The problem is considered under the assumption that the center of mass of the system does not coincide with its geometric center. In this paper we derive equations describing the dynamics of the system and give an example of the controlled motion of a wheel by specifying a constant angular acceleration of the rotor. A description of the design of the robot wheel is given and a method for experimentally determining the rolling friction coefficient is proposed. For the verification of the proposed mathematical model, experimental studies of the controlled motion of the robot wheel are carried out. We show that the theoretical results qualitatively agree with the experimental ones, but are quantitatively different.
Keywords: robot-wheel, rolling friction, displacement of the center of mass.
Funding agency Grant number
Russian Foundation for Basic Research 15-08-09261-а
Russian Science Foundation 14-19-01303
Received: 03.11.2015
Bibliographic databases:
Document Type: Article
UDC: 531.31+531.45
MSC: 70F40, 70F25
Language: Russian
Citation: E. N. Pivovarova, A. V. Klekovkin, “Influence of rolling friction on the controlled motion of a robot wheel”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 25:4 (2015), 583–592
Citation in format AMSBIB
\Bibitem{PivKle15}
\by E.~N.~Pivovarova, A.~V.~Klekovkin
\paper Influence of rolling friction on the controlled motion of a~robot wheel
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2015
\vol 25
\issue 4
\pages 583--592
\mathnet{http://mi.mathnet.ru/vuu511}
\crossref{https://doi.org/10.20537/vm150414}
\elib{https://elibrary.ru/item.asp?id=25109981}
Linking options:
  • https://www.mathnet.ru/eng/vuu511
  • https://www.mathnet.ru/eng/vuu/v25/i4/p583
  • This publication is cited in the following 2 articles:
    1. Ivanova T.B., Karavaev Yu.L., Kilin A.A., “Control of a Pendulum-Actuated Spherical Robot on a Horizontal Plane With Rolling Resistance”, Arch. Appl. Mech., 92:1 (2022), 137–150  crossref  mathscinet  isi  scopus
    2. Alexander A. Kilin, Elena N. Pivovarova, “The Rolling Motion of a Truncated Ball Without Slipping and Spinning on a Plane”, Regul. Chaotic Dyn., 22:3 (2017), 298–317  mathnet  crossref  mathscinet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
    Statistics & downloads:
    Abstract page:530
    Full-text PDF :184
    References:76
     
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