Form invariance of Raitzin's canonical equations of a nonholonomic mechanical system

doi:10.1088/1009-1963/14/1/003

中国物理B ›› 2005, Vol. 14 ›› Issue (1): 12-16.doi: 10.1088/1009-1963/14/1/003

Form invariance of Raitzin's canonical equations of a nonholonomic mechanical system

乔永芬¹, 马永胜², 李仁杰³

(1)Department of Mechanical Engineering and Automation, Zhejiang Institute of Science and Technology, Hangzhou,312207, China;Faculty of Science, Laiyang Agricultural College, Laiyang,265200, China Engineering College of Northeast Agricultural University,Harb; (2)Engineering College of Northeast Agricultural University,Harbin,150030, China; (3)Faculty of Science, Laiyang Agricultural College, Laiyang,265200, China

收稿日期:2004-06-08 修回日期:2004-08-25 出版日期:2005-01-20 发布日期:2005-01-20
基金资助:
Project supported by the Heilongjiang Natural Science Foundation, China (Grant No 9507)

Form invariance of Raitzin's canonical equations of a nonholonomic mechanical system

Qiao Yong-Fen (乔永芬)^abc, Li Ren-Jie (李仁杰)^b, Ma Yong-Sheng (马永胜)^c

^a Department of Mechanical Engineering and Automation, Zhejiang Institute of Science and Technology, Hangzhou 312207, China; ^b Faculty of Science, Laiyang Agricultural College, Laiyang 265200, China; ^c Engineering College of Northeast Agricultural University, Harbin 150030, China

Received:2004-06-08 Revised:2004-08-25 Online:2005-01-20 Published:2005-01-20
Supported by:
Project supported by the Heilongjiang Natural Science Foundation, China (Grant No 9507)

摘要/Abstract

摘要： A form invariance of Raitzin's canonical equations of a nonholonomic mechanical system is studied. The Raitzin canonical equations of the system are established. The definition and criterion of the form invariance in the system under infinitesimal transformations of groups are given. The relation between the form invariance and the conserved quantity of the system is obtained and an example is also given to illustrate the application of the result.

关键词: nonholonomic system, Raitzin's canonical equation, form invariance, conserved quantity

Abstract: A form invariance of Raitzin's canonical equations of a nonholonomic mechanical system is studied. The Raitzin canonical equations of the system are established. The definition and criterion of the form invariance in the system under infinitesimal transformations of groups are given. The relation between the form invariance and the conserved quantity of the system is obtained and an example is also given to illustrate the application of the result.

Key words: nonholonomic system, Raitzin's canonical equation, form invariance, conserved quantity

中图分类号:

0320

乔永芬, 李仁杰, 马永胜. Form invariance of Raitzin's canonical equations of a nonholonomic mechanical system[J]. 中国物理B, 2005, 14(1): 12-16.

Qiao Yong-Fen (乔永芬), Li Ren-Jie (李仁杰), Ma Yong-Sheng (马永胜). Form invariance of Raitzin's canonical equations of a nonholonomic mechanical system[J]. Chinese Physics, 2005, 14(1): 12-16.

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Form invariance of Raitzin's canonical equations of a nonholonomic mechanical system

Form invariance of Raitzin's canonical equations of a nonholonomic mechanical system

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