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Regular and Chaotic Dynamics, 2008, Volume 13, Issue 4, Pages 344–354
DOI: https://doi.org/10.1134/S1560354708040084
(Mi rcd582)
 

This article is cited in 11 scientific papers (total in 11 papers)

Nonholonomic mechanics

The Nearly Horizontally Rolling of a Thick Disk on a Rough Plane

M. Batista

University of Ljubljana, Faculty of Maritime Studies and Transportation, Pot pomorscakov 4, 6320 Portoroz, Slovenia
Citations (11)
Abstract: In the paper the analytical solution of the partially linearized equations of motion of nearly horizontally rolling of a thick rigid disk on a perfectly rough horizontal plane under the action of gravity is given in terms of Whittaker functions. The solution is used to obtain the asymptotic solutions for a very small inclination angle, the study of unilateral contact between a disk and a plane and the study of disk colliding motion.
Keywords: disk rolling, nonholonomic mechanics.
Received: 07.06.2008
Accepted: 14.07.2008
Bibliographic databases:
Document Type: Personalia
Language: English
Citation: M. Batista, “The Nearly Horizontally Rolling of a Thick Disk on a Rough Plane”, Regul. Chaotic Dyn., 13:4 (2008), 344–354
Citation in format AMSBIB
\Bibitem{Bat08}
\by M.~Batista
\paper The Nearly Horizontally Rolling of a Thick Disk on a Rough Plane
\jour Regul. Chaotic Dyn.
\yr 2008
\vol 13
\issue 4
\pages 344--354
\mathnet{http://mi.mathnet.ru/rcd582}
\crossref{https://doi.org/10.1134/S1560354708040084}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2456927}
\zmath{https://zbmath.org/?q=an:1229.70014}
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  • https://www.mathnet.ru/eng/rcd/v13/i4/p344
  • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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