|
|||||
|
|
| 力学系统的二阶梯度表示 | |
| 引用本文： | 楼智美,梅凤翔. 力学系统的二阶梯度表示[J]. 物理学报, 2012, 61(2): 24502-024502 |
| 作者姓名： | 楼智美 梅凤翔 |
| 作者单位： | 绍兴文理学院物理系, 绍兴 312000;北京理工大学力学系, 北京 100081 |
| 基金项目： | 国家自然科学基金重点项目;(批准号: 10932002)资助的课题. |
| 摘 要： | 研究力学系统运动微分方程的梯度表示以及二阶梯度表示. 将完整和非完整力学系统的微分方程在正则坐标下表出. 给出系统成为梯度系统以及二阶梯度系统的条件. 举例说明结果的应用. |
| 关 键 词： | 完整力学系统 非完整力学系统 梯度 |
| 收稿时间： | 2012-02-27 |
A second order gradient representation of mechanics system |
|
| Lou Zhi-Mei and Mei Feng-Xiang. A second order gradient representation of mechanics system[J]. Acta Physica Sinica, 2012, 61(2): 24502-024502 | |
| Authors: | Lou Zhi-Mei and Mei Feng-Xiang |
| Affiliation: | Department of Physics, Shaoxing University, Shaoxing 312000, China;Department of Mechanics, Beijing Institute of Technology, Beijing 100081, China |
| Abstract: | A gradient representation and a second order gradient representation of the mechanics system are studied. The differential equations of motion of the holonomic and nonholonomic mechanics systems are expressed in the canonical coordinates. A condition under which the system can be considered as a gradient system is given. A condition under which the system can be considered as a second order gradient system is obtained. Two examples are given to illustrate the application of the result. |
| Keywords: | holonomic mechanics system nonholonomic mechanics system gradient |
| 本文献已被 CNKI 等数据库收录！ | |
| 点击此处可从《物理学报》浏览原始摘要信息 | |
| 点击此处可从《物理学报》下载免费的PDF全文 | |