| Structure equation and Mei conserved quantity for Mei symmetry of Appell equation |
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| 作者姓名： | 贾利群 解加芳 郑世旺 |
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| 作者单位： | School of Science, Jiangnan University, Wuxi 214122,
China;Department of Mechanics, Beijing Institute of Technology,
Beijing 100081, China;Department of Physics and Information Engineering,
Shangqiu Teachers College, Shangqiu 476000, China |
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| 基金项目： | Project supported by the National
Natural Science Foundation of China (Grant No 10572021). |
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| 摘 要： | This paper investigates structure equation and Mei conserved quantity of Mei symmetry of Appell equations for non-Chetaev nonholonomic systems. Appell equations and differential equations of motion for non-Chetaev nonholonomic mechanical systems are established. A new expression of the total derivative of the function with respect to time t along the trajectory of a curve of the system is obtained, the definition and the criterion of Mei symmetry of Appell equations under the infinitesimal transformations of groups are also given. The expressions of the structure equation and the Mei conserved quantity of Mei symmetry in the Appell function are obtained. An example is given to illustrate the application of the results.
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| 关 键 词： | 结构方程 Mei对称 Mei守恒量 Appell方程 |
| 收稿时间： | 2007-01-06 |
| 修稿时间： | 2007-02-07 |
Structure equation and Mei conserved quantity for Mei symmetry of Appell equation |
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| Jia Li-Qun,Xie Jia-Fang and Zheng Shi-Wang.Structure equation and Mei conserved quantity for Mei symmetry of Appell equation[J].Chinese Physics B,2008,17(1):17-22. |
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| Authors: | Jia Li-Qun Xie Jia-Fang and Zheng Shi-Wang |
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| Institution: | Department of Mechanics, Beijing Institute of Technology,
Beijing 100081, China; Department of Physics and Information Engineering,
Shangqiu Teachers College, Shangqiu 476000, China; School of Science, Jiangnan University, Wuxi 214122,
China |
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| Abstract: | This paper investigates structure equation and Mei conserved quantity
of Mei symmetry of Appell equations for non-Chetaev nonholonomic
systems. Appell equations and differential equations of motion for
non-Chetaev nonholonomic mechanical systems are established. A new
expression of the total derivative of the function with respect to
time $t$ along the trajectory of a curve of the system is obtained,
the definition and the criterion of Mei symmetry of Appell equations
under the infinitesimal transformations of groups are also given. The
expressions of the structure equation and the Mei conserved quantity
of Mei symmetry in the Appell function are obtained. An example is
given to illustrate the application of the results. |
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| Keywords: | Appell equation Mei conserved
quantity Mei symmetry non-Chetaev nonholonomic system |
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