单面非Chetaev型非完整系统相对于非惯性系的Lie对称性与守恒量

兵工学报 ›› 2001, Vol. 22 ›› Issue (1): 95-98.

单面非Chetaev型非完整系统相对于非惯性系的Lie对称性与守恒量

李元成

石油大学应用物理系，山东东营，257062

收稿日期:1999-07-01 修回日期:2000-06-01 上线日期:2014-12-25
通讯作者: 李元成
基金资助:
高校博士学科点专项基金资助项目

Lie Symmetries and Conserved Quantities of Non-Holonomic. Systems of Non-Chetaev's Type with Unilateral Constraints Relative to a Non-Inertial Reference Frame

Li Yuancheng

Department of Applied Physics, University of Petroleum, Dongying, 257062

Received:1999-07-01 Revised:2000-06-01 Online:2014-12-25
Contact: Li Yuancheng

摘要/Abstract

摘要： 本文研究单面非Chetaev型非完整系统相对于非惯性系的Lie对称性与守恒量。首先利用微分方程在无限小变换下的不变性建立Lie对称性所满足的确定方程和限制方程，给出结构方程和守恒量;其次讨论系统的Lie对称逆问题;最后举例说明结果的应用。

关键词: 分析力学 , 单面约束 , 非完整系统 , 非惯性系 , Lie对称性 , 守恒量

Abstract: This paper studies the Lie symmetries and conserved quantities of non-holonomic systems of non-Chetaev，s type with unilateral constraints relative to a non-inertial reference frame. The invari?ance of ordinary differential equations under infinitesimal transformations is used to establish the de?termining equations and restrictions of the Lie symmetries of the systems. The structural equation and conserved quantities are thus obtained. The inverse problem of Lie symmetries is then discussed. An example to illustrate the application of the results is finally given.

Key words: analytical mechanics , unilateral constraint , non-holonomic system , non-inertial reference frame , Lie symmetry , conserved quantity

中图分类号:

O316

李元成. 单面非Chetaev型非完整系统相对于非惯性系的Lie对称性与守恒量[J]. 兵工学报, 2001, 22(1): 95-98.

Li Yuancheng. Lie Symmetries and Conserved Quantities of Non-Holonomic. Systems of Non-Chetaev's Type with Unilateral Constraints Relative to a Non-Inertial Reference Frame[J]. Acta Armamentarii, 2001, 22(1): 95-98.

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