LIE SYMMETRIES AND CONSERVED QUANTITIES OF SECOND-ORDER NONHOLONOMIC MECHANICAL SYSTEM

Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (9): 1105-1110.

LIE SYMMETRIES AND CONSERVED QUANTITIES OF SECOND-ORDER NONHOLONOMIC MECHANICAL SYSTEM

方建会

Department of Applied Physics, University of Petroleum, Dongying, Shandong 257061, P.R.China

收稿日期:2000-11-26 修回日期:2002-01-31 出版日期:2002-09-18 发布日期:2002-09-18
通讯作者: HUANG Xiao-qing

LIE SYMMETRIES AND CONSERVED QUANTITIES OF SECOND-ORDER NONHOLONOMIC MECHANICAL SYSTEM

FANG Jian-hui

Department of Applied Physics, University of Petroleum, Dongying, Shandong 257061, P.R.China

Received:2000-11-26 Revised:2002-01-31 Online:2002-09-18 Published:2002-09-18

摘要/Abstract

摘要： The Lie symmetries and the conserved quantities of the second-order nonholonomic mechanical system are studied. Firstly, by using the invariance of the differential equation of motion under the infinitesimal transformations, the determining equations and the restriction equations of the Lie symmetries of the system are established, and the structure equation and the conservative quantities of the Lie symmetries are obtained. Secondly, the inverse problems of the Lie symmetries are studied. Finally, an example is given to illustrate the application of the result.

Abstract: The Lie symmetries and the conserved quantities of the second-order nonholonomic mechanical system are studied. Firstly, by using the invariance of the differential equation of motion under the infinitesimal transformations, the determining equations and the restriction equations of the Lie symmetries of the system are established, and the structure equation and the conservative quantities of the Lie symmetries are obtained. Secondly, the inverse problems of the Lie symmetries are studied. Finally, an example is given to illustrate the application of the result.

中图分类号:

O316

方建会. LIE SYMMETRIES AND CONSERVED QUANTITIES OF SECOND-ORDER NONHOLONOMIC MECHANICAL SYSTEM[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(9): 1105-1110.

FANG Jian-hui. LIE SYMMETRIES AND CONSERVED QUANTITIES OF SECOND-ORDER NONHOLONOMIC MECHANICAL SYSTEM[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(9): 1105-1110.

参考文献

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LIE SYMMETRIES AND CONSERVED QUANTITIES OF SECOND-ORDER NONHOLONOMIC MECHANICAL SYSTEM

LIE SYMMETRIES AND CONSERVED QUANTITIES OF SECOND-ORDER NONHOLONOMIC MECHANICAL SYSTEM

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