| 单面非完整系统相对运动动力学的Lie对称性 |
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| 引用本文： | 谢小明,张毅.单面非完整系统相对运动动力学的Lie对称性[J].苏州科技学院学报(工程技术版),2005,18(1):26-31. |
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| 作者姓名： | 谢小明 张毅 |
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| 作者单位： | 苏州科技学院,土木工程系,江苏,苏州,215011 |
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| 基金项目： | 苏州科技学院科研基金资助项目(030340101) |
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| 摘 要： | 在相空间中研究具有单面非完整约束系统相对于非惯性系的Lie对称性与守恒量。首先，给出了系统的运动微分方程；其次，根据微分方程在无限小变换下的不变性建立Lie对称性的确定方程和限制方程，给出结构方程和守恒量；最后，讨论了系统的Lie对称性逆问题，并举例说明结果的应用。
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| 关 键 词： | 分析力学 相空间 单面约束 非完整系统 Lie对称性 守恒量 |
| 文章编号： | 1672-0679(2005)01-0026-06 |
| 修稿时间： | 2004年10月29 |
Lie symmetries of Non-holonomic Systems with Unilateral constraints Moving Relative to Noninertial Frame in Phase Space |
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| XIE Xiao-ming,ZHANG Yi.Lie symmetries of Non-holonomic Systems with Unilateral constraints Moving Relative to Noninertial Frame in Phase Space[J].Journal of University of Science and Technology of Suzhou：Engineering and Technology,2005,18(1):26-31. |
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| Authors: | XIE Xiao-ming ZHANG Yi |
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| Abstract: | This paper studies Lie symmetries and conserved quantities of nonholonomic systems of Chetaev's type with unilateral constraints moving relative to noninertial Frame in phase space. Firstly, it establishes the determining equations and the restriction equations of the Lie symmetries of the systems and gives the structure equations and the conserved quantities, which are using the invariance of the ordinary differential equations under the infinitesimal transformations; Secondly, it studies the inverse problem of Lie symmetries of the systems; Lastly, it gives an example to illustrate the application of the results. |
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| Keywords: | analytical mechanics phase space unilateral constraint non-holonomic system lie symmetry conserved quantity |
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