| 具有质量的刚杆连接的双摆运动 |
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| 引用本文： | 崔志明,王辉.具有质量的刚杆连接的双摆运动[J].延安大学学报(自然科学版),2001,20(2):21-24. |
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| 作者姓名： | 崔志明 王辉 |
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| 作者单位： | 1. 延安大学数学与计算机科学系,
2. 北京科技大学应用数学系, |
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| 摘 要： | 建立了用具有质量的刚杆连接的双摆运动方程,并将重力作为扰动,利用KAM定理研究了双摆的运动规律．当重力能量与总能量相比很小时,KAM不变闭曲线的存在表明无重力系统的“总动量“守恒的特点．
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| 关 键 词： | 双摆 无重力系统 刚杆 等能量面 KAM定理 |
| 文章编号： | 1004-602X(2001)02-0021-04 |
| 修稿时间： | 2000年12月7日 |
The motions of the double pendulum linked by rigid rods with mass |
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| CUI Zhi ming ,WANG Hui.The motions of the double pendulum linked by rigid rods with mass[J].Journal of Yan'an University(Natural Science Edition),2001,20(2):21-24. |
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| Authors: | CUI Zhi ming WANG Hui |
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| Institution: | CUI Zhi ming 1,WANG Hui 2 |
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| Abstract: | This paper deals with the motions of the double pendulum linked by rigid rods with mass. The KAM theory can be used to describe the motions of the double pendulum if the gravitation is treated as a perturbation. The existence of the KAM invariant closed curves represents that some characters of the "total generalied momentum" conservation of the gravity free system can be kept when the gravitation energy is small in comparision with the total energy. |
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| Keywords: | double pendulum gravity free system rigid rod energy level set KAM theory |
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