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Avtomatika i Telemekhanika, 2013, Issue 8, Pages 80–90 (Mi at6086)  
This article is cited in 3 scientific papers (total in 3 papers)

Topical issue

On the Motion of Chaplygin’s Sledge over Convex Surface

S. V. Ifraimova, A. S. Kuleshovb

a Dorodnicyn Computer Centre, Russian Academy of Sciences, Moscow, Russia
b Moscow State University, Moscow, Russia
Full-text PDF (170 kB) Citations (3)
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Abstract: We study the problem of moving Chaplygin sleigh along an arbitrary surface. Motion equations for the sleigh are represented as Appel equations. We consider the case when the sleigh moves along a surface of rotation, in particular, along a plane, sphere, and cylinder. We show several cases when the sleigh’s motion equations can be fully integrated.

Received: 15.01.2013
English version:
Automation and Remote Control, 2013, Volume 74, Issue 8, Pages 1297–1306
DOI: https://doi.org/10.1134/S0005117913080067
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. V. Ifraimov, A. S. Kuleshov, “On the Motion of Chaplygin’s Sledge over Convex Surface”, Avtomat. i Telemekh., 2013, no. 8, 80–90; Autom. Remote Control, 74:8 (2013), 1297–1306
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/at/y2013/i8/p80
    • 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
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    Full-text PDF :66
    References:41
    First page:36
     
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