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| 非Chetaev型非完整系统Raitzin正则方程的Hojman守恒定理 | |
| 引用本文： | 乔永芬,孙丹娜,赵淑红.非Chetaev型非完整系统Raitzin正则方程的Hojman守恒定理[J].信阳师范学院学报(自然科学版),2006,19(1):21-24. |
| 作者姓名： | 乔永芬 孙丹娜 赵淑红 |
| 作者单位： | 1. 东北农业大学,工程学院,黑龙江,哈尔滨,150030;莱阳农学院,基础部,山东,莱阳,265204 2. 莱阳农学院,基础部,山东,莱阳,265204 3. 东北农业大学,工程学院,黑龙江,哈尔滨,150030 |
| 基金项目： | 黑龙江省自然科学基金资助课题(9507) |
| 摘 要： | 利用时间不变的无限小变换下的L ie对称性,研究了非Chetaev型非完整系统的Raitzin正则方程的Hojm an守恒定理,列出了系统的运动微分方程,建立了时间不变的无限小变换下的确定方程,给出了系统的Hojm an守恒定理,并举例说明结果的应用. |
| 关 键 词： | 非完整系统 Raitzin正则方程 Lie对称性 确定方程 |
| 文章编号： | 1003-0972（2006）01-0021-04 |
| 收稿时间： | 2004-08-26 |
| 修稿时间： | 2004年8月26日 |
Hojman's Conservation Theorems for Raitzin's Canonical Equations of Nonholonomic Systems of Non-Chetaev's Type |
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| QIAO Yong-fen,SUN Dan-na,ZHAO Shu-hong.Hojman''''s Conservation Theorems for Raitzin''''s Canonical Equations of Nonholonomic Systems of Non-Chetaev''''s Type[J].Journal of Xinyang Teachers College(Natural Science Edition),2006,19(1):21-24. | |
| Authors: | QIAO Yong-fen SUN Dan-na ZHAO Shu-hong |
| Institution: | 1. Engineering College of Northeast Agricultural University, Harbin 150030, China; 2. Foundation Department, Laiyang Agricultural College, Laiyang 265204, China |
| Abstract: | Using the Lie symmetry under infinitesimal transformations in which the time is not variable,the Hojman's conservation theorems for Raitzin's canonical equations of nonholonomic systems of non-Chetaev's type are studied.The differential equations of the systems and the determining equations of Lie symmetry under infinitesimal transformations are given.The Hojman's conservation theorems of the systems are established.Finally,we give an example to illustrate the application of the result. |
| Keywords: | nonholonmic system Raitzin's canonical equation Lie symmetry determining equation |
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