| 事件空间中高阶单面非完整系统的守恒律 |
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| 引用本文： | 李元成. 事件空间中高阶单面非完整系统的守恒律[J]. 三峡大学学报(自然科学版), 2002, 24(5): 442-444 |
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| 作者姓名： | 李元成 |
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| 作者单位： | 石油大学应用物理系,山东,东营,257061 |
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| 基金项目： | 国家自然科学基金(19572018) |
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| 摘 要： | 研究了事件空间中高阶单面非完整系统的守恒律。首先给出事件空间中的万有d‘Alembert原理和非等参数变分；其次基于该原理在无限小群变换下的不变性，得到事件空间中高阶单面非完整系统的守恒律；最后举例说明结果的应用。
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| 关 键 词： | 事件空间 分析力学 高阶非完整系统 守恒律 |
| 文章编号： | 1007-7081(2002)05-0442-03 |
Conservation Laws of High-Order Nonholonomic Systems in Event Space |
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| Li Yuancheng. Conservation Laws of High-Order Nonholonomic Systems in Event Space[J]. Journal of China Three Gorges University(Natural Sciences), 2002, 24(5): 442-444 |
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| Authors: | Li Yuancheng |
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| Abstract: | The conservation law of high-order nonholomic system in event space is studied. Firstly,the universal d'Alembert principle in the event space is given;and Dolaptchiew synchronous variation and asynchonous varitaion. Secondly,the conservation law of nonholonomic system in the event space ,which are based upon the ivariance of the principle under the infinitesimal transformation is obtained. Finally, an example to illustrate the application of the result is given. |
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| Keywords: | analytical mechanics event space high-order nonholonomic system conservation law |
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