Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2020, Number 2, Pages 61–63 (Mi vmumm4321)  

This article is cited in 2 scientific papers (total in 2 papers)

Short notes

Dynamics of Chaplygin skate on a horizontal plane with dry anisotropic friction

A. V. Karapetyan, A. A. Shishkov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (100 kB) Citations (2)
References:
Abstract: The problem of Chaplygin's skate motion on the horizontal plane with dry friction is considered. It is supposed that the friction force depends on an angle between the sliding velocity and the skate plane. It is shown that the time of the skate sliding is defined by a transcendental equation and depends on the initial values of the angular velocity, the sliding velocity and the angle between the sliding velocity and the skate plane. The countable set of initial values of the sliding velocity such that the sliding time does not depend on this angle is found.
Key words: Chaplygin skate, anisotropic dry friction.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00140
Received: 20.02.2019
English version:
Moscow University Mechanics Bulletin, 2020, Volume 75, Issue 2, Pages 47–49
DOI: https://doi.org/10.3103/S0027133007010053
Bibliographic databases:
Document Type: Article
UDC: 531.01
Language: Russian
Citation: A. V. Karapetyan, A. A. Shishkov, “Dynamics of Chaplygin skate on a horizontal plane with dry anisotropic friction”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, no. 2, 61–63; Moscow University Mechanics Bulletin, 75:2 (2020), 47–49
Citation in format AMSBIB
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\paper Dynamics of Chaplygin skate on a horizontal plane with dry anisotropic friction
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:206
    Full-text PDF :40
    References:38
    First page:22
     
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