Vakonomic mechanics versus non-holonomic mechanics: a unified geometrical approach

被引：31
|
作者：
de Leon, M
Marrero, JC
de Diego, DM
机构：
[1] CSIC, Inst Matemat & Fis Fundamental, Madrid 28006, Spain
[2] Univ La Laguna, Fac Matemat, Dept Matemat Fundamental, Tenerife, Spain
[3] Fac CC Econ & Empresariales, Dept Econ Aplicada Matemat, Valladolid 47011, Spain
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2000年 / 35卷 / 2-3期
关键词：
vakonomic mechanics; non-holonomic mechanics; symmetries; reduction;
D O I：
10.1016/S0393-0440(00)00004-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper some geometrical aspects of constrained mechanics are studied. A symplectic setting for vakonomic mechanics is given, and the conservation of the energy is discussed. This formulation needs constraint forces involving accelerations, A reduction procedure is given for Caplygin vakonomic systems. Finally, a unified geometrical framework for non-holonomic and vakonomic mechanics is described. (C) 2000 Elsevier Science B.V. All rights reserved.
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页码：126 / 144
页数：19
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