| 完整力学系统相对运动动力学方程的普遍形式 |
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| 引用本文： | 张相武. 完整力学系统相对运动动力学方程的普遍形式[J]. 物理学报, 2006, 55(6): 2669-2675 |
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| 作者姓名： | 张相武 |
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| 作者单位： | 陇东学院物理系，庆阳 745000 |
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| 摘 要： | 从质点系非惯性系的动力学方程出发,建立力学系统相对运动的高阶微分变分原理,然后引入力学系统的高阶相对速度能量,导出完整力学系统相对运动的各类高阶动力学方程,并给出一例说明本文结果的应用.关键词：完整力学系统相对运动高阶微分变分原理高阶动力学方程
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| 关 键 词： | 完整力学系统 相对运动 高阶微分变分原理 高阶动力学方程 |
| 文章编号： | 1000-3290/2006/55（06）/2669-07 |
| 收稿时间： | 2005-11-02 |
| 修稿时间： | 2005-11-022005-12-15 |
The universal forms of the dynamic equations of holonomic mechanical system in relative motion |
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| Zhang Xiang-Wu. The universal forms of the dynamic equations of holonomic mechanical system in relative motion[J]. Acta Physica Sinica, 2006, 55(6): 2669-2675 |
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| Authors: | Zhang Xiang-Wu |
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| Affiliation: | Department of Physics, Longdong University, Qingyang 745000, China |
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| Abstract: | Based on the dynamic equations of particles system in non-inertial coordinate system, the higher order differential variational principle of relative motion for mechanical system is obtained, and the energy of higher order relative velocity of the mechanical system is introduced, the different kinds of higher order dynamic equations of holonomic mechanical system in relative motion are derived, and an example is given to illustrate the application of the results. |
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| Keywords: | holonomic mechanical system relative motion higher order differential variational principle higher order dynamic equations |
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