The jacobi integral in nonholonomic mechanics

被引：0
|
作者：
Alexey V. Borisov
Ivan. S. Mamaev
Ivan. A. Bizyaev
机构：
[1] Moscow Institute of Physics and Technology,Steklov Mathematical Institute
[2] Udmurt State University,undefined
[3] M. T. Kalashnikov Izhevsk State Technical University,undefined
[4] Russian Academy of Sciences,undefined
来源：
Regular and Chaotic Dynamics | 2015年 / 20卷
关键词：
nonholonomic constraint; Jacobi integral; Chaplygin sleigh; rotating table; Suslov problem;
D O I：
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学科分类号：
摘要：
In this paper we discuss conditions for the existence of the Jacobi integral (that generalizes energy) in systems with inhomogeneous and nonholonomic constraints. As an example, we consider in detail the problem of motion of the Chaplygin sleigh on a rotating plane and the motion of a dynamically symmetric ball on a uniformly rotating surface. In addition, we discuss illustrative mechanical models based on the motion of a homogeneous ball on a rotating table and on the Beltrami surface.
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页码：383 / 400
页数：17
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