|
|||||
|
|
| 准坐标下广义力学系统运动微分方程的形式不变性 | |
| 引用本文： | 乔永芬,李仁杰,赵淑红. 准坐标下广义力学系统运动微分方程的形式不变性[J]. 信阳师范学院学报(自然科学版), 2005, 18(1): 37-41 |
| 作者姓名： | 乔永芬 李仁杰 赵淑红 |
| 作者单位： | 1. 浙江工程学院,机械工程与自动化分院,浙江,杭州,310033;莱阳农学院,工程系,山东,莱阳,265204;东北农业大学,工程学院,黑龙江,哈尔滨,150030 2. 莱阳农学院,工程系,山东,莱阳,265204 3. 东北农业大学,工程学院,黑龙江,哈尔滨,150030 |
| 基金项目： | 黑龙江省科学基金资助课题 ( 95 0 7) |
| 摘 要： | 对称性方法是寻求守恒量的近代方法 .形式不变性是一种新的对称性 .研究准坐标下广义力学系统运动微分方程在群的无限小变换下的形式不变性 .本文给出了形式不变性的定义和判据 ,建立形式不变性导致守恒量的条件 ,并举例说明结果的应用 |
| 关 键 词： | 广义力学 准坐标 形式不变性 守恒量 |
| 文章编号： | 1003-0972(2005)01-0037-05 |
On the form invariance of differential equations of motion for generalized mechanical system in terms of quasi-coordinates |
|
| QIAO Yong-fen. On the form invariance of differential equations of motion for generalized mechanical system in terms of quasi-coordinates[J]. Journal of Xinyang Teachers College(Natural Science Edition), 2005, 18(1): 37-41 | |
| Authors: | QIAO Yong-fen |
| Affiliation: | QIAO Yong-fen~ |
| Abstract: | Symmetry method is modern method in seeking conserved quantity. The form invariance is a new symmetry. The form invariance of differential equations of motion for generalized mechanical system in terms of quasi-coordinates is studied, under the infinitesimal transformations of groups. First, the definition and criterion of the form invariance are given. Next, the condition under which the invariance can lead to a conserved quantity is established. Finally, we give an example to illustrate the application of the result. |
| Keywords: | generalized mechanics quasi-coordinate form invariance conserved quantity |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |