| 变质量单面非完整系统的Noether定理 |
| |
| 引用本文： | 梁景辉,乔磊,贾石海,雷惠方.变质量单面非完整系统的Noether定理[J].山西师范大学学报,2010(4). |
| |
| 作者姓名： | 梁景辉 乔磊 贾石海 雷惠方 |
| |
| 作者单位： | 山西师范大学物理与信息工程学院; |
| |
| 基金项目： | 山西省自然科学基金资助项目(20031008) |
| |
| 摘 要： | 本文研究了变质量单面非完整系统的Noether定理及逆定理.首先给出系统的d'Alember-Lagrange原理及非等时变分;其次基于微分变分原理在无限小变换下的不变性质,得到变质量单面非完整系统的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 单面约束 非完整系统 变质量 Noether定理 Noether逆定理 |
Noether's Theorem of Nonholonomic Systems having Variable Mass and Unilsteral Constraints |
| |
| LIANG Jing-hui,QIAO Lei,JIA Shi-hai,LEI Hui-fang.Noether's Theorem of Nonholonomic Systems having Variable Mass and Unilsteral Constraints[J].Journal of Shanxi Teachers University,2010(4). |
| |
| Authors: | LIANG Jing-hui QIAO Lei JIA Shi-hai LEI Hui-fang |
| |
| Institution: | LIANG Jing-hui,QIAO Lei,JIA Shi-hai,LEI Hui-fang(School of Physics and Electronic Information,Shanxi Normal University,Linfen 041004,Shanxi,China) |
| |
| Abstract: | Principle of d' Alembert-Lagrange for a system having variable mass and non-isochronal variation is first presented.Noether's theorem and her inverse theorem for the above system having variable mass are then studied based upon the invariance of the differential variational principle under infinitesimal transformations.An example to illustrate the application of the result is finally given. |
| |
| Keywords: | analytical mechanics unilateral constraint non-holonomic system variable mass Noether's theorem Noether's inverse theorem |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
