Unified symmetry of holonomic mechanical systems

doi:10.1088/1009-1963/14/7/003

中国物理B ›› 2005, Vol. 14 ›› Issue (7): 1287-1289.doi: 10.1088/1009-1963/14/7/003

Unified symmetry of holonomic mechanical systems

秦茂昌¹, 梅凤翔¹, 许学军²

(1)Department of Mechanics, Beijing Institute of Technology,Beijing 100081, China; (2)Department of Mechanics, Beijing Institute of Technology,Beijing 100081, China;Department of Physics, Zhejiang Normal University, Jinhua 321004, China

收稿日期:2004-12-28 修回日期:2005-01-24 出版日期:2005-06-20 发布日期:2005-06-20
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No 10272021) and the Doctoral Program Foundation of Institution of Higher Education of China (Grant No 20040007022)

Unified symmetry of holonomic mechanical systems

Xu Xue-Jun (许学军)^ab, Qin Mao-Chang (秦茂昌)^a, Mei Feng-Xiang (梅凤翔)^a

^a Department of Mechanics, Beijing Institute of Technology, Beijing 100081, China; ^b Department of Physics, Zhejiang Normal University, Jinhua 321004, China

Received:2004-12-28 Revised:2005-01-24 Online:2005-06-20 Published:2005-06-20
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No 10272021) and the Doctoral Program Foundation of Institution of Higher Education of China (Grant No 20040007022)

摘要/Abstract

摘要： The definition and the criterion of a unified symmetry for a holonomic mechanical system are presented based on the total time derivative along the trajectory of the system. A new conserved quantity, as well as the Noether conserved quantity and the Hojman conserved quantity, deduced from the unified symmetry, is obtained. An example is given to illustrate the application of the results.

关键词: holonomic mechanical system, unified symmetry, conserved quantity

Abstract: The definition and the criterion of a unified symmetry for a holonomic mechanical system are presented based on the total time derivative along the trajectory of the system. A new conserved quantity, as well as the Noether conserved quantity and the Hojman conserved quantity, deduced from the unified symmetry, is obtained. An example is given to illustrate the application of the results.

Key words: holonomic mechanical system, unified symmetry, conserved quantity

中图分类号: (General theory of classical mechanics of discrete systems)

45.05.+x

许学军, 秦茂昌, 梅凤翔. Unified symmetry of holonomic mechanical systems[J]. 中国物理B, 2005, 14(7): 1287-1289.

Xu Xue-Jun (许学军), Qin Mao-Chang (秦茂昌), Mei Feng-Xiang (梅凤翔). Unified symmetry of holonomic mechanical systems[J]. Chinese Physics, 2005, 14(7): 1287-1289.

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Unified symmetry of holonomic mechanical systems

Unified symmetry of holonomic mechanical systems

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