| 单面非Chetaev型非完整系统的Lie对称性与守恒量 |
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| 引用本文： | 李元成,梁景辉.单面非Chetaev型非完整系统的Lie对称性与守恒量[J].北京理工大学学报,2000,20(2):150-154. |
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| 作者姓名： | 李元成 梁景辉 |
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| 作者单位： | 北京理工大学,应用力学系,北京,100081 |
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| 基金项目： | 教育部高等学校博士学科点专项科研基金;; |
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| 摘 要： | 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，研究单面非Ｃｈｅｔａｅｖ型非完整系统的Ｌｉｅ对称性与守恒量。给出结构方程和守恒量，讨论系统的Ｌｉｅ对称性逆问题。
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| 关 键 词： | 分析力学 单面约束 非完整系统 守恒量 李对称性 |
Lie Symmetries and Conserved Quantities of Nonholonomic Systems of Non-Chetaev's Type With Unilateral Constraints |
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| LI Yuan-cheng,LIANG Jing-hui,ZHANG Yi,MEI Feng-xiang.Lie Symmetries and Conserved Quantities of Nonholonomic Systems of Non-Chetaev's Type With Unilateral Constraints[J].Journal of Beijing Institute of Technology(Natural Science Edition),2000,20(2):150-154. |
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| Authors: | LI Yuan-cheng LIANG Jing-hui ZHANG Yi MEI Feng-xiang |
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| Abstract: | To study the Lie symmetries and conserved quantities of nonholonomic systems of non-Chetaev's type with unilateral constraints, the invariance of the ordinary differential equations under the infinitesimal transformations was used to establish the determining equations. The structure equation and conserved equations were obtained and the inverse problem of Lie symmetries was discussed |
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| Keywords: | analytical mechanics unilateral constraint nonholonomic system Lie symmetry conserved quantity |
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