| 变质量非完整系统的非Noether守恒量 |
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| 引用本文： | 赵淑红,乔永芬,马永胜. 变质量非完整系统的非Noether守恒量[J]. 江西师范大学学报(自然科学版), 2004, 28(2): 110-113 |
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| 作者姓名： | 赵淑红 乔永芬 马永胜 |
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| 作者单位： | 东北农业大学,工程学院,黑龙江,哈尔滨,150030;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,莱阳,265204 |
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| 基金项目： | 黑龙江省自然科学基金资助项目(批准号:9507). |
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| 摘 要： | 利用时间不变的无限小变化下的Lie对称性，研究变质量非完整力学系统的一类新的守恒量．给出系统的运动微分方程．研究时间不变的无限小变化下的Lie对称性确定方程．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： | 变质量 非完整约束 Lie对称性 确定方程 非Noether守恒量 |
| 文章编号： | 1000-5862(2004)02-0110-04 |
Non-Noether Symmetrical Conserved Quantity for Nonholonomic Mechanical Systems with Variable Mass |
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| ZHAO Shu-hong,QIAO Yong-fen. Non-Noether Symmetrical Conserved Quantity for Nonholonomic Mechanical Systems with Variable Mass[J]. Journal of Jiangxi Normal University (Natural Sciences Edition), 2004, 28(2): 110-113 |
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| Authors: | ZHAO Shu-hong QIAO Yong-fen |
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| Affiliation: | ZHAO Shu-hong~1,QIAO Yong-fen~ |
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| Abstract: | Using the Lie symmetry under infinitesimal transformations in which the time is not variable,we studied a new conserved quantity for the nonholonomic mechanical systems with a variable mass. 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. |
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| Keywords: | variable mass nonholonomic constraint Lie symmetry determining equation non-Noether conserved quantity |
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