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

dc.creatorObradović, Aleksandar
dc.creatorŠalinić, Slaviša
dc.creatorRadulović, Radoslav
dc.date.accessioned2022-09-19T18:12:42Z
dc.date.available2022-09-19T18:12:42Z
dc.date.issued2017
dc.identifier.issn1450-5584
dc.identifier.urihttps://machinery.mas.bg.ac.rs/handle/123456789/2603
dc.description.abstractThis 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.en
dc.publisherSrpsko društvo za mehaniku, Beograd
dc.rightsopenAccess
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.sourceTheoretical and Applied Mechanics
dc.subjectrolling without slipen
dc.subjectoptimal controlen
dc.subjectnonholonomic constraintsen
dc.subjectCoulomb dry frictionen
dc.subjectbrachistochronic motionen
dc.titleThe brachistochronic motion of a vertical disk rolling on a horizontal plane without slipen
dc.typearticle
dc.rights.licenseBY-NC-ND
dc.citation.epage254
dc.citation.issue2
dc.citation.other44(2): 237-254
dc.citation.rankM24
dc.citation.spage237
dc.citation.volume44
dc.identifier.doi10.2298/TAM171002015O
dc.identifier.fulltexthttp://machinery.mas.bg.ac.rs/bitstream/id/1331/2600.pdf
dc.identifier.scopus2-s2.0-85038895475
dc.identifier.wos000423915600009
dc.type.versionpublishedVersion


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