| 非Chetaev型非完整系统的非Noether守恒量 |
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| 引用本文： | 乔永芬,马永胜,赵淑红. 非Chetaev型非完整系统的非Noether守恒量[J]. 信阳师范学院学报(自然科学版), 2004, 17(2): 162-165 |
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| 作者姓名： | 乔永芬 马永胜 赵淑红 |
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| 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. 东北农业大学,工程学院,黑龙江,哈尔滨,150030 |
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| 基金项目： | 黑龙江省自然科学基金资助项目(9507) |
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| 摘 要： | 利用时间不变的无限小变换下的Lie对称性，研究非Chetaev型非完整系统的非Noether守恒量，给出系统的运动微分方程，研究时间不变的无限小变换下的Lie对称性的确定方程，建立系统的Hojman守恒定理，举例说明结果的应用．
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| 关 键 词： | 非完整系统 Lie对称性 确定方程 非Noether守恒量 |
| 文章编号： | 1003-0972(2004)02-0162-04 |
Non-Noether conserved quantity for nonholonomic mechanical system of non-Chetaev''''s type |
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| QIAO Yong-fen. Non-Noether conserved quantity for nonholonomic mechanical system of non-Chetaev''''s type[J]. Journal of Xinyang Teachers College(Natural Science Edition), 2004, 17(2): 162-165 |
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| Authors: | QIAO Yong-fen |
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| Affiliation: | QIAO Yong-fen~ |
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| Abstract: | Using the Lie symmetry under infinitesimal transformations in which the time is not variable,the Non-Noether conserved quantity for nonholonomic mechanical system of non-Chetaev's type is studied.The differential equations of motion of the system and the determining equations of Lie symmetry under infinitesimal transformations are given.The Hojman's conservation theorems of the system are established.Finally,we give an example to illustrate the application of the result. |
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| Keywords: | nonholonomic system Lie symmetry determining equation non-Noether conserved quantity |
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