| 单面完整系统相对于非惯性系的Lie对称性与守恒量 |
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| 引用本文： | 梁景辉,李元成.单面完整系统相对于非惯性系的Lie对称性与守恒量[J].青岛大学学报(工程技术版),2000,15(1). |
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| 作者姓名： | 梁景辉 李元成 |
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| 作者单位： | 1. 山西师范大学物理系,山西临汾,041004
2. 石油大学应用物理系,山东东营,257062 |
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| 基金项目： | 高校博士学科点专项基金资助课题 |
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| 摘 要： | 研究单元完整系统相对于非惯性系的 Lie对称性与守恒量。首先利用微分方程在无限小变换下的不变性建立系统 Lie对称所满足的确定方程和限制方程 ,给出了结构方程和守恒量 ;其次研究系统 Lie对称逆问题 ;最后举例说明结果的应用
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| 关 键 词： | 分析力学 单面约束 完整系统 非惯性系 Lie对称性 守恒量 |
LIE SYMMETRIES AND CONSERVED QUANTITIES OF HOLONOMIC SYSTEMS WITH UNILATERAL CONSTRAINTS RELATIVE TO NONINERTIAL REFERENCE FRAME |
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| LIANG Jing-hui,LI Yuan-cheng.LIE SYMMETRIES AND CONSERVED QUANTITIES OF HOLONOMIC SYSTEMS WITH UNILATERAL CONSTRAINTS RELATIVE TO NONINERTIAL REFERENCE FRAME[J].Journal of Qingdao University(Engineering & Technology Edition),2000,15(1). |
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| Authors: | LIANG Jing-hui LI Yuan-cheng |
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| Abstract: | This paper studies Lie symmetries and coserved quantities of holonomic systems with unilateral constraints relative to noninertial reference frame. Firstly, it establishes the determining equations and the restriction equations of the Lie symmetries of the systems and it gives the structure equations and the conservation quantities, using the invariance of the ordinary differential equations under the infinitesimal transformations; Secondly, it studies the inverse problem of Lie symmetries of the systems; Finally, it gives an example to illustrate the application of the result. |
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| Keywords: | analytical mechanics unilateral constraint holonomic system noninertial reference frame Lie symmetry conservation quantity |
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