Unified symmetry of nonholonomic mechanical systems with variable mass

doi:10.1088/1009-1963/15/5/004

中国物理B ›› 2006, Vol. 15 ›› Issue (5): 903-906.doi: 10.1088/1009-1963/15/5/004

Unified symmetry of nonholonomic mechanical systems with variable mass

夏丽莉, 李元成, 后其宝, 王静

College of Physics Science and Technology, China University of Petroleum,Dongying 257061, China

收稿日期:2005-11-17 修回日期:2006-01-12 出版日期:2006-05-20 发布日期:2006-05-20

Unified symmetry of nonholonomic mechanical systems with variable mass

Xia Li-Li (夏丽莉), Li Yuan-Cheng (李元成), Hou Qi-Bao (后其宝), Wang Jing (王静)

College of Physics Science and Technology, China University of Petroleum,Dongying 257061, China

Received:2005-11-17 Revised:2006-01-12 Online:2006-05-20 Published:2006-05-20

摘要/Abstract

摘要： Based on the total time derivative along the trajectory of the system the definition and the criterion for a unified symmetry of nonholonomic mechanical system with variable mass are presented in this paper. A new conserved quantity, as well as the Noether conserved quantity and the Hojman conserved quantity, deduced from the unified symmetry, are also obtained. An example is given to illustrate the application of the results.

Abstract: Based on the total time derivative along the trajectory of the system the definition and the criterion for a unified symmetry of nonholonomic mechanical system with variable mass are presented in this paper. A new conserved quantity, as well as the Noether conserved quantity and the Hojman conserved quantity, deduced from the unified symmetry, are also obtained. An example is given to illustrate the application of the results.

Key words: variable mass, nonholonomic mechanical system, unified symmetry, conserved quantity

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

45.05.+x

45.20.Jj (Lagrangian and Hamiltonian mechanics)

夏丽莉, 李元成, 后其宝, 王静. Unified symmetry of nonholonomic mechanical systems with variable mass[J]. 中国物理B, 2006, 15(5): 903-906.

Xia Li-Li (夏丽莉), Li Yuan-Cheng (李元成), Hou Qi-Bao (后其宝), Wang Jing (王静). Unified symmetry of nonholonomic mechanical systems with variable mass[J]. Chinese Physics, 2006, 15(5): 903-906.

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Unified symmetry of nonholonomic mechanical systems with variable mass

Unified symmetry of nonholonomic mechanical systems with variable mass

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