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事件空间中单面非Chetaev型非完整约束系统的Mei守恒量
引用本文:贾利群,罗绍凯,张耀宇. 事件空间中单面非Chetaev型非完整约束系统的Mei守恒量[J]. 物理学报, 2007, 56(11): 6188-6193
作者姓名:贾利群  罗绍凯  张耀宇
作者单位:1. 江南大学理学院,无锡,214122
2. 浙江理工大学数学力学与数学物理研究所,杭州,310018
3. 平顶山学院电气信息工程学院,平顶山,467002
摘    要:研究事件空间中单面非Chetaev型非完整系统的Mei对称性和Mei守恒量.建立系统的运动微分方程,给出系统Mei对称性、弱Mei对称性、强Mei对称性的定义和判据,得到系统Mei守恒量的存在条件以及Mei守恒量的表达式.举例说明结论的应用.

关 键 词:事件空间  单面约束  非完整系统  Mei守恒量
文章编号:1000-3290/2007/56(11)/6188-06
收稿时间:2007-01-29
修稿时间:2007-01-29

Mei conserved quantities for systems with unilateral non-Chetaev nonholonomic constraints in the event space
Jia Li-Qun,Luo Shao-Kai,Zhang Yao-Yu. Mei conserved quantities for systems with unilateral non-Chetaev nonholonomic constraints in the event space[J]. Acta Physica Sinica, 2007, 56(11): 6188-6193
Authors:Jia Li-Qun  Luo Shao-Kai  Zhang Yao-Yu
Affiliation:1.School of Science,Jiangnan University,Wuxi 214122,China;2.Institute of Mathematical Mechanics and Mathematical Physics,Zhejiang Sci-Tech University,Hangzhou 310018,China;3.Electric and Information Engineering College,Pingdingshan University,Pingdingshan 467002,China
Abstract:Mei symmetry and Mei conserved quantity for a system with unilateral non-Chetaev nonholonomic constraints in the event space are studied. The differential equations of motion of the system are established. The definition and the criteria of Mei symmetry, weakly Mei symmetry, strongly Mei symmetry for the system are given in this paper. The existence condition and the expression of Mei conserved quantity are deduced directly from Mei symmetry. An example is given to illustrate the application of the results.
Keywords:event space  unilateral constraint  nonholonomic system  Mei conserved quantity
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