| 关于一类Lagrange函数族的存在条件 |
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| 引用本文： | 丁光涛.关于一类Lagrange函数族的存在条件[J].动力学与控制学报,2011,9(3):219-221. |
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| 作者姓名： | 丁光涛 |
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| 作者单位： | 安徽师范大学物理与电子信息学院,芜湖 241000 |
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| 摘 要： | 研究力学系统的Lagrange函数族,根据从第一积分直接构造Lagrange函数的方法,提出一类Lagrange函数族的结构,导出这类Lagrange函数族的存在条件和直接构造方法.举例说明所得结果的应用.
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| 关 键 词： | 分析力学 逆问题 Lagrange函数族 第一积分 |
| 收稿时间： | 2010/12/6 0:00:00 |
| 修稿时间： | 2010/12/26 0:00:00 |
On the existence conditions for a class of the lagrangians families |
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| Ding Guangtao.On the existence conditions for a class of the lagrangians families[J].Journal of Dynamics and Control,2011,9(3):219-221. |
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| Authors: | Ding Guangtao |
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| Affiliation: | Ding Guangtao (College of Physics and Electronic Information,Anhui Normal University,Wuhu 241000,China) |
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| Abstract: | In this paper, the Lagrangians familiy in mechamics was studied. Based on the direct approach to the construction of Lagrangian from first integral, the structure of a class of families Lagrangians was presented. The existence conditions and the direct constuction method of this class of families were obtained. Two examples were given to illustrate the application of the results. |
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| Keywords: | analytical mechanics inverse problem family of Lagrangians first integral |
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