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Theoretical and Applied Mechanics, 2017, Volume 44, Issue 2, Pages 237–254
DOI: https://doi.org/10.2298/TAM171002015O (Mi tam32) 		 
This article is cited in 4 scientific papers (total in 4 papers)

The brachistochronic motion of a vertical disk rolling on a horizontal plane without slip

Aleksandar Obradovića, Slaviša Šalinićb, Radoslav Radulovića

a Department of Mechanics, Faculty of Mechanical Engineering, University of Belgrade, Belgrade, Serbia
b Department of Applied Mechanics, Mathematics and Physics, Faculty of Mechanical and Civil Engineering in Kraljevo, University of Kragujevac, Kraljevo, Serbia
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DOI: https://doi.org/10.2298/TAM171002015O
Abstract: This paper deals with the brachistochronic motion of a thin uniform disk rolling on a horizontal plane without slip. The problem is formulated and solved within the frame of the optimal control theory. The brachistochronic motion of the disk is controlled by three torques. The possibility of the realization of the brachistochronic motion found in presence of Coulomb dry friction forces is inspected. Also, the influence of values of the coefficient of dry friction on the structure of the extremal trajectory is analyzed. Two illustrative numerical examples are provided.
Keywords: brachistochronic motion, nonholonomic constraints, Coulomb dry friction, optimal control, rolling without slip.
Received: 02.10.2017
Revised: 24.11.2017
Bibliographic databases:
Document Type: Article
MSC: 70E18, 70Q05
Language: English
Citation: Aleksandar Obradović, Slaviša Šalinić, Radoslav Radulović, “The brachistochronic motion of a vertical disk rolling on a horizontal plane without slip”, Theor. Appl. Mech., 44:2 (2017), 237–254
Citation in format AMSBIB
\Bibitem{ObrSalRad17}
\by Aleksandar~Obradovi\'c, Slavi{\v s}a~{\v S}alini\'c, Radoslav~Radulovi\'c
\paper The brachistochronic motion of a vertical disk rolling on a horizontal plane without slip
\jour Theor. Appl. Mech.
\yr 2017
\vol 44
\issue 2
\pages 237--254
\mathnet{http://mi.mathnet.ru/tam32}
\crossref{https://doi.org/10.2298/TAM171002015O}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000423915600009}
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  • https://www.mathnet.ru/eng/tam/v44/i2/p237
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Theoretical and Applied Mechanics
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    References:23
     
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