Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2013, Volume 9, Number 1, Pages 51–58 (Mi nd369)  
This article is cited in 3 scientific papers (total in 3 papers)

On the motion of a mechanical system inside a rolling ball

Sergey V. Bolotina, Tatiana V. Popovab

a Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow, Russia
b M. V. Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (323 kB) Citations (3)
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Abstract: We consider a mechanical system inside a rolling ball and show that if the ideal constraints have spherical symmetry, the equations of motion have a Lagrangian form. Without symmetry, this is not true.
Keywords: nonholonomic constraint, rolling ball, Lagrange equations, Hamilton principle.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 11.G34.31.0039
НШ-2519.2012.1
Russian Foundation for Basic Research 12-01-00441_а
Received: 30.03.2012
Revised: 21.11.2012
Document Type: Article
UDC: 531.36
MSC: 37J60, 37J35, 70E18
Language: Russian
Citation: Sergey V. Bolotin, Tatiana V. Popova, “On the motion of a mechanical system inside a rolling ball”, Nelin. Dinam., 9:1 (2013), 51–58
Citation in format AMSBIB
\Bibitem{BolPop13}
\by Sergey~V.~Bolotin, Tatiana~V.~Popova
\paper On the motion of a mechanical system inside a rolling ball
\jour Nelin. Dinam.
\yr 2013
\vol 9
\issue 1
\pages 51--58
\mathnet{http://mi.mathnet.ru/nd369}
Linking options:
  • https://www.mathnet.ru/eng/nd369
  • https://www.mathnet.ru/eng/nd/v9/i1/p51
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Нелинейная динамика
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