| 变质量完整力学系统的Hojman守恒量 |
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| 引用本文： | 葛伟宽,张毅.变质量完整力学系统的Hojman守恒量[J].上海力学,2004,25(4):573-576. |
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| 作者姓名： | 葛伟宽 张毅 |
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| 作者单位： | [1]苏州科技学院土木工程系，苏州，215011 [2]湖州师范学院理学院，湖州，313000 |
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| 基金项目： | 国家自然科学基金资助项目(批准号:10272021) |
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| 摘 要： | 研究完整力学系统由Noether对称性导致的Hojman守恒量．列写系统的运动微分方程；在时间不变的特殊无限小变换下，研究系统的Noether对称性与Lie对称性，给出Noether对称性为Lie对称性的条件；将Hojman定理推广至变质量系统，并举例说明结果的应用．
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| 关 键 词： | 分析力学 变质量完整系统 对称性 守恒量 |
| 文章编号： | 0254-0053(2004)04-573-4 |
| 修稿时间： | 2004年3月12日 |
Hojman Conserved Quantity for Variable Mass Holonomic Mechanical Systems |
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| GE Wei kuan ,ZHANG Yi.Hojman Conserved Quantity for Variable Mass Holonomic Mechanical Systems[J].Chinese Quarterly Mechanics,2004,25(4):573-576. |
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| Authors: | GE Wei kuan ZHANG Yi |
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| Institution: | GE Wei kuan 1,ZHANG Yi 2 |
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| Abstract: | The Hojman conserved quantity was derived from the Noether symmetry for the variable mass holonomic mechanical systems. The differential motion equations of the systems were established, The Noether symmetry and the Lie symmetry under the special infinitesimal transformations of fixed time were presented and the condition under Lie symmetry was obtained. The Hojman theorem is generalized to the systems. Two examples are given as the application of the result. |
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| Keywords: | analytical mechanics variable mass holonomic systems symmetry conserved quantity |
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