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Avtomatika i Telemekhanika, 2013, Issue 8, Pages 80–90
(Mi at6086)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/at6086 https://www.mathnet.ru/eng/at/y2013/i8/p80
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Statistics & downloads: |
Abstract page: | 340 | Full-text PDF : | 72 | References: | 47 | First page: | 36 |
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