| 单面非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,高金燕. 单面非完整系统相对于非惯性系的Lie对称性与守恒量[J]. 山西师范大学学报：自然科学版, 1999, 0(4) |
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| 作者姓名： | 梁景辉 高金燕 |
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| 作者单位： | 山西师范大学物理系(梁景辉)，临汾地区体育运动学校(高金燕) |
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| 基金项目： | 高校博士学科点专项基金 |
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| 摘 要： | 研究单面非完整系统相对于非惯性系的Lie对称性与守恒星．利用微分方程在无限小变换下的不变性建立Lie对称性所满足的确定方程和限制方程，给出系统的结构方程和守恒星；其次讨论系统的Lie对称性逆问题；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 非完整系统 非惯性系 Lie对称性 守恒星 |
Lie Symmetries and Conserved Quantities of Nonholonomic Systems with Unilateral Constraints Relative to Noninertial Reference Frame |
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| Liang Jinghui, Gao Jinyan. Lie Symmetries and Conserved Quantities of Nonholonomic Systems with Unilateral Constraints Relative to Noninertial Reference Frame[J]. Journal of Shanxi Teachers University, 1999, 0(4) |
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| Authors: | Liang Jinghui Gao Jinyan |
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| Affiliation: | Liang Jinghui; Gao Jinyan |
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| Abstract: | This paper studies Lie symmetries and conserved quantities of nonholo-nomic systems with unilateral constraints relative to noninertial reference frame. First-ly, it establishes the determining equations and the restriction equations of the Lie sym-metries of the systems and it gives the structure equations and the conserved euantities,which are using the invariance of the ordinary differential equations under the infinitesi-mal transformations. Secondly, it studies the inverse prob1em of Lie symmetries of thesystems. Finally, it gives an example to ilustrate the app1ication of the result. |
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| Keywords: | Analytical mechanics Unilateral constraint Nonholonomic system Noninertial reference frame Lie symmetry Conserved quantity |
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