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| 事件空间中单面非Chetaev型非完整系统的Noether定理 | |
| 引用本文： | 李元成,张毅,梁景辉.事件空间中单面非Chetaev型非完整系统的Noether定理[J].应用数学和力学,2000,21(5):488-494. |
| 作者姓名： | 李元成 张毅 梁景辉 |
| 作者单位： | 1. 石油大学,应用物理系,山东,东营,257062 2. 苏州城建环保学院,基础部,苏州,215011 3. 山西师范大学,物理系,山西,临汾,041004 |
| 基金项目： | 高校博士学科点专项基金资助课题 |
| 摘 要： | 研究事件空间中单面非Ｃｈｅｔａｅｖ型非完整系统的Ｎｏｅｔｈｅｒ定理,首先给出了系统的Ｄ’Ａｌｅｍｂｅｒｔ－Ｌａｇｒａｎｇｅ原理;其次基于该原理在无限小变换下的不变性,研究了非Ｃｈｅｔａｅｖ型非完整系统的Ｎｏｅｔｈｅｒ定理及逆定理;最后举例说明结果的应用。 |
| 关 键 词： | 分析力学 事件空间 非完整系统 Noether定理 |
| 修稿时间： | 1999-04-23 |
Noether's Theorem for Nonholonomic Systems of Non-Chetaev's Type With Unilateral Constraints in Event Space |
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| Li Yuancheng,Zhang Yi,Liang Jinghui.Noether's Theorem for Nonholonomic Systems of Non-Chetaev's Type With Unilateral Constraints in Event Space[J].Applied Mathematics and Mechanics,2000,21(5):488-494. | |
| Authors: | Li Yuancheng Zhang Yi Liang Jinghui |
| Abstract: | To study the Noether's theorem of nonholonomic systems of non_Chetaev's type with unilateral constraints in event space, firstly, the principle of D'Alembert_Lagrange for the systems with unilateral constraints in event space is presented, secondly, the Noether's theorem and the Noether's inverse theorem for the nonholonomic systems of non_Chetaev's type with unilateral constraints in event space are studied and obtained, which is based upon the invariance of the differential variational principle under the infinitesimal transformations of group, finally, an example is given to illustrate the application of the result. |
| Keywords: | analytical mechanics event space unilateral constraint nonholonomic system Noether's theorem Noeter's inverse theorem |
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