LIE SYMMETRIES AND CONSERVED QUANTITIES OF HOLONOMIC VARIABLE MASS SYSTEMS

Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (6): 629-634.

LIE SYMMETRIES AND CONSERVED QUANTITIES OF HOLONOMIC VARIABLE MASS SYSTEMS

梅凤翔

Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, P. R. China

收稿日期:1997-09-05 修回日期:1998-11-08 出版日期:1999-06-18 发布日期:1999-06-18
基金资助:
the National Natural Science Foundation of China(19572038)

LIE SYMMETRIES AND CONSERVED QUANTITIES OF HOLONOMIC VARIABLE MASS SYSTEMS

Mei Fengxiang

Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, P. R. China

Received:1997-09-05 Revised:1998-11-08 Online:1999-06-18 Published:1999-06-18
Supported by:
the National Natural Science Foundation of China(19572038)

摘要/Abstract

摘要： In this paper,the Lie symmetries and the conserved quantities of the holonomic variable mass systems are studied.By usin g the invariance of the ordinary differential equations under the infinitesimal transformations,the determining equations of the Lie symmetries of the systems are established,and the stru cture equation and the conserved quantities are given.And an example is given to illustrate the application of the result.

关键词: analytical mechanics, variable mass, Lie symmetry, conserved quantity

Abstract: In this paper,the Lie symmetries and the conserved quantities of the holonomic variable mass systems are studied.By usin g the invariance of the ordinary differential equations under the infinitesimal transformations,the determining equations of the Lie symmetries of the systems are established,and the stru cture equation and the conserved quantities are given.And an example is given to illustrate the application of the result.

Key words: analytical mechanics, variable mass, Lie symmetry, conserved quantity

中图分类号:

O316

梅凤翔. LIE SYMMETRIES AND CONSERVED QUANTITIES OF HOLONOMIC VARIABLE MASS SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(6): 629-634.

Mei Fengxiang. LIE SYMMETRIES AND CONSERVED QUANTITIES OF HOLONOMIC VARIABLE MASS SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(6): 629-634.

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LIE SYMMETRIES AND CONSERVED QUANTITIES OF HOLONOMIC VARIABLE MASS SYSTEMS

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