On moving Chaplygin sleigh on a convex surface

被引:0
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作者
S. V. Ifraimov
A. S. Kuleshov
机构
[1] Russian Academy of Sciences,Dorodnicyn Computer Centre
[2] Moscow State University,undefined
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Remote Control; Motion Equation; Principal Curvature; Convex Surface; Nonholonomic System;
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摘要
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.
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页码:1297 / 1306
页数:9
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