| 二端面转轴相对转动非线性动力学系统的稳定性与近似解 |
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| 引用本文： | 王坤.二端面转轴相对转动非线性动力学系统的稳定性与近似解[J].物理学报,2005,54(12):5530-5533. |
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| 作者姓名： | 王坤 |
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| 作者单位： | 燕山大学理学院，秦皇岛 066004 |
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| 基金项目： | 国家自然科学基金(批准号：40374048)资助的课题. |
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| 摘 要： | 建立了二端面转轴相对转动系统的非线性动力学方程.对于等力矩的动力学方程进行了定性分析，得到了方程的稳定性等性质.用平均方法求得方程在一定条件下的近似解.
关键词：
非线性动力学方程
稳定性
极限环
近似解
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| 关 键 词： | 非线性动力学方程 稳定性 极限环 近似解 |
| 文章编号： | 1000-3290/2005/54（12）/5530-04 |
| 收稿时间： | 4/6/2005 12:00:00 AM |
| 修稿时间： | 2005-04-062005-06-13 |
Stability and approximate solution of nonlinear dynamic system of a cylinder with two end faces in relative rotation |
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| Wang Kun.Stability and approximate solution of nonlinear dynamic system of a cylinder with two end faces in relative rotation[J].Acta Physica Sinica,2005,54(12):5530-5533. |
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| Authors: | Wang Kun |
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| Institution: | College of Science, Yanshan University, Qinhuangdao 066004, China |
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| Abstract: | For the nonlinear dynamics system of a cylinder with two end faces in relative rotation, a qualitative analysis of the autonomous system dynamics equation is performed. The stability of the solution of the equation is established, and approximate solution of the equation under special conditions is obtained by averaging method. |
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| Keywords: | nonlinear dynamics equation steadiness limit cycles approximate solution |
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