EFFECTS OF NON-CONSERVATIVE FORCES ON LIE SYMMETRIES AND CONSERVED QUANTITIES OF A LAGRANGE SYSTEM

doi:10.1088/1009-1963/9/11/001

中国物理B ›› 2000, Vol. 9 ›› Issue (11): 801-804.doi: 10.1088/1009-1963/9/11/001

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EFFECTS OF NON-CONSERVATIVE FORCES ON LIE SYMMETRIES AND CONSERVED QUANTITIES OF A LAGRANGE SYSTEM

张睿超, 陈向炜, 梅凤翔

Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, China

收稿日期:2000-05-18 修回日期:2000-06-30 出版日期:2000-11-15 发布日期:2005-06-10
基金资助:
Project supported by the National Natural Science Foundation(19972010) and the Doctoral Programme Foundation of Institution of Higher Education of China.

EFFECTS OF NON-CONSERVATIVE FORCES ON LIE SYMMETRIES AND CONSERVED QUANTITIES OF A LAGRANGE SYSTEM

Zhang Rui-chao (张睿超), Chen Xiang-wei (陈向炜), Mei Feng-xiang (梅凤翔)

Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, China

Received:2000-05-18 Revised:2000-06-30 Online:2000-11-15 Published:2005-06-10
Supported by:
Project supported by the National Natural Science Foundation(19972010) and the Doctoral Programme Foundation of Institution of Higher Education of China.

摘要/Abstract

摘要： Non-conservative forces are exerted on a Lagrange system. Their effects on Lie symmetries, structure equation and conserved quantities of the system are studied. It can be seen that some Lie symmetries disappear and some new Lie symmetries emerge. Under certain conditions, some Lie symmetries will still remain present.

Abstract: Non-conservative forces are exerted on a Lagrange system. Their effects on Lie symmetries, structure equation and conserved quantities of the system are studied. It can be seen that some Lie symmetries disappear and some new Lie symmetries emerge. Under certain conditions, some Lie symmetries will still remain present.

Key words: analytical mechanics, Lagrange system, non-conserved force, Lie symmetry, conserved quantity

中图分类号: (Lagrangian and Hamiltonian mechanics)

45.20.Jj

张睿超, 陈向炜, 梅凤翔. EFFECTS OF NON-CONSERVATIVE FORCES ON LIE SYMMETRIES AND CONSERVED QUANTITIES OF A LAGRANGE SYSTEM[J]. 中国物理B, 2000, 9(11): 801-804.

Zhang Rui-chao (张睿超), Chen Xiang-wei (陈向炜), Mei Feng-xiang (梅凤翔). EFFECTS OF NON-CONSERVATIVE FORCES ON LIE SYMMETRIES AND CONSERVED QUANTITIES OF A LAGRANGE SYSTEM[J]. Chinese Physics, 2000, 9(11): 801-804.

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EFFECTS OF NON-CONSERVATIVE FORCES ON LIE SYMMETRIES AND CONSERVED QUANTITIES OF A LAGRANGE SYSTEM

EFFECTS OF NON-CONSERVATIVE FORCES ON LIE SYMMETRIES AND CONSERVED QUANTITIES OF A LAGRANGE SYSTEM

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