Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2011, Volume 7, Number 3, Pages 549–558 (Mi nd276)  

This article is cited in 5 scientific papers (total in 5 papers)

Stopping dynamics of sliding and spinning bodies on a rough plane surface

O. B. Fedicheva, P. O. Fedichevb

a Moscow Institute of Physics and Technology (State University) Institutskii per. 9, Dolgoprudnyi, Moskovskaya obl., 141700, Russia
b Quantum Pharmaceuticals, ul. Kosmonavta Volkova 6A–606, Moscow, 125171, Russia
Full-text PDF (349 kB) Citations (5)
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Abstract: We propose a qualitative theory of stopping dynamics of solids moving on a plane surface with an arbitrary distribution of normal stresses in the contact area. We studied the equations of motion describing the combined action of the dry friction acting on a sliding and spinning body all the way long before the motion ceases, calculated the movement time, and the distance traveled. Finally we identified the localization of the instantaneous center of rotation at the time of the complete stop, which depends on the mass distribution within the body and on the asymptotic behavior of the friction force and torque.
Keywords: dry friction, flat motion, instantaneous center of rotation.
Received: 30.06.2011
Accepted: 29.07.2011
Document Type: Article
UDC: 531
MSC: 70E18, 70F40
Language: Russian
Citation: O. B. Fedichev, P. O. Fedichev, “Stopping dynamics of sliding and spinning bodies on a rough plane surface”, Nelin. Dinam., 7:3 (2011), 549–558
Citation in format AMSBIB
\Bibitem{FedFed11}
\by O.~B.~Fedichev, P.~O.~Fedichev
\paper Stopping dynamics of sliding and spinning bodies on a rough plane surface
\jour Nelin. Dinam.
\yr 2011
\vol 7
\issue 3
\pages 549--558
\mathnet{http://mi.mathnet.ru/nd276}
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  • https://www.mathnet.ru/eng/nd276
  • https://www.mathnet.ru/eng/nd/v7/i3/p549
  • This publication is cited in the following 5 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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    References:68
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