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| High-Order Hamilton＇s Principle and the Hamilton＇s Principle of High-Order Lagrangian Function | |
| 引用本文： | ZHAO Hong-Xia MA Shan-Jun. High-Order Hamilton＇s Principle and the Hamilton＇s Principle of High-Order Lagrangian Function[J]. 理论物理通讯, 2008, 49(2): 297-302 |
| 作者姓名： | ZHAO Hong-Xia MA Shan-Jun |
| 作者单位： | College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China |
| 基金项目： | The project supported by the Natural Science Foundation of Jiangxi Province and the Foundation of Education Department of Jiangxi Province under Grant No.[2007]136. |
| 摘 要： | In this paper, based on the theorem of the high-order velocity energy, integration and variation principle, the high-order Hamilton＇s principle of general holonomic systems is given. Then, three-order Lagrangian equations and four-order Lagrangian equations are obtained from the high-order Hamilton＇s principle. Finally, the Hamilton＇s principle of high-order Lagrangian function is given. |
| 关 键 词： | 高阶汉密尔顿原理 汉密尔顿原理 拉格朗日函数 速度能量 |
High-Order Hamilton's Principle and the Hamilton's Principle of High-Order Lagrangian Function |
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| ZHAO Hong-Xia MA Shan-Jun. High-Order Hamilton's Principle and the Hamilton's Principle of High-Order Lagrangian Function[J]. Communications in Theoretical Physics, 2008, 49(2): 297-302 | |
| Authors: | ZHAO Hong-Xia MA Shan-Jun |
| Affiliation: | College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China |
| Abstract: | Hamilton＇s principle, high-order velocity energy, integration and variation principle, Lagrangian function |
| Keywords: | Hamilton＇s principle high-order velocity energy integration and variation principle Lagrangian function |
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