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Regular and Chaotic Dynamics, 2014, Volume 19, Issue 3, Pages 296–309
DOI: https://doi.org/10.1134/S1560354714030034 (Mi rcd148) 		 
This article is cited in 5 scientific papers (total in 5 papers)

A Rigid Body on a Surface with Random Roughness

Daniil Burlakova, Dmitry Treschevb

a Lomonosov Moscow State University, Vorob’evy gory, Moscow, 119899 Russia
b Steklov Mathematical Institute, Russian Academy of Sciences, Gubkina 8, Moscow, 119991 Russia
Citations (5)
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DOI: https://doi.org/10.1134/S1560354714030034
Abstract: Consider an interval on a horizontal line with random roughness. With probability one it is supported at two points: one on the left, and another on the right from its center. We compute the probability distribution of the support points provided the roughness is fine grained. We also solve an analogous problem where a circle or a disk lies on a rough plane. Some applications in static are given.
Keywords: rigid body, support with random roughness.
Funding agency Grant number
Russian Foundation for Basic Research 12-01-00441-a
13-01-12462
Ministry of Education and Science of the Russian Federation NSh-2519.2012.1
Russian Academy of Sciences - Federal Agency for Scientific Organizations
The research is supported by the grants NSh-2519.2012.1, RFBR grant 12-01-00441-a, the program of Russian Academy of Science “Dynamical systems and Control theory”, and the OFI-m grant 13-01-12462.
Received: 10.04.2014
Accepted: 23.04.2014
Bibliographic databases:
Document Type: Article
MSC: 47N30, 70C20
Language: English
Citation: Daniil Burlakov, Dmitry Treschev, “A Rigid Body on a Surface with Random Roughness”, Regul. Chaotic Dyn., 19:3 (2014), 296–309
Citation in format AMSBIB
\Bibitem{BurTre14}
\by Daniil~Burlakov, Dmitry Treschev
\paper A Rigid Body on a Surface with Random Roughness
\jour Regul. Chaotic Dyn.
\yr 2014
\vol 19
\issue 3
\pages 296--309
\mathnet{http://mi.mathnet.ru/rcd148}
\crossref{https://doi.org/10.1134/S1560354714030034}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3215691}
\zmath{https://zbmath.org/?q=an:1309.70006}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000337051600003}
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  • https://www.mathnet.ru/eng/rcd/v19/i3/p296
    • 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
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    References:54
     
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