| 变质量非Четаев型非完整系统在相空间的Lie对称性与守恒量 |
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| 引用本文： | 方建会,赵嵩卿,焦志勇.变质量非Четаев型非完整系统在相空间的Lie对称性与守恒量[J].应用数学和力学,2002,23(10):1080-1084. |
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| 作者姓名： | 方建会 赵嵩卿 焦志勇 |
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| 作者单位： | 石油大学应用物理系, 山东 东营 257061 |
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| 摘 要： | 在相空间引入无限小群变换,研究变质量非Четаев型非完整系统的Lie对称和守恒量.利用系统运动微分方程在无限小群变换下的不变性建立Lie对称的确定方程和限制方程,得到Lie对称的结构方程和守恒量,并举例说明结果的应用.
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| 关 键 词： | 非完整系统 相空间 分析力学 变质量 Lie对称 守恒量 |
| 文章编号： | 1000-0887(2002)10-1080-05 |
| 收稿时间： | 2000-10-24 |
| 修稿时间： | 2000年10月24 |
The Lie Symmetries and Conserved Quantities of Variable-Mass Nonholonomic System of Non-Chetaev's Type in Phase Space |
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| FANG Jian_hui,ZHAO Song_qing,JIAO Zhi_yong.The Lie Symmetries and Conserved Quantities of Variable-Mass Nonholonomic System of Non-Chetaev's Type in Phase Space[J].Applied Mathematics and Mechanics,2002,23(10):1080-1084. |
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| Authors: | FANG Jian_hui ZHAO Song_qing JIAO Zhi_yong |
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| Institution: | Department of Applied Physics, University of Petroleum, Dongying, Shandong 257061, P R China |
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| Abstract: | The Lie symmetries and the conserved quantities of a variable mass nonholonomic system of non_Chetaev's type are studied by introducing the infinitesimal transformations of groups in phase space.By using the invariance of the differential equations of motion under the infinitesmal transformations of groups ,the determining equations and the restriction equations of the Lie symmetries of the system are established,and the structure equations and the conserved quantities are obtained.An example is given to illustrate the application of the result. |
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| Keywords: | nonholonomic system phase space analytic mechanics variable mass Lie symmetry conserved quantity |
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