Principles of Lagrange and Jacobi for nonholonomic systems

被引：2

作者：

Ghori, QK ^{[1
]}

Ahmed, N

机构：

[1] GIK Inst Engn Sci & Technol, NWFP, Topi, District Swabi, Pakistan

[2] Quaid I Azam Univ, Dept Math, Islamabad, Pakistan

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 1999年 / 34卷 / 05期

关键词：

non-holonomic systems;

D O I：

10.1016/S0020-7462(98)00052-3

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The general framework of Poincare's formalism is used to study the principles of Lagrange and Jacobi for non-linear non-holonomic dynamical systems. Necessary and sufficient conditions for treating them as principles of stationary action are derived. The effect of constraints on Jacobi's energy integral is also examined and conditions for the conservation of this integral are obtained. (C) 1999 Elsevier Science Ltd. All rights reserved.

引用

页码：823 / 829

页数：7

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