| 非稳态油膜力作用下转子振动的分岔与稳定性分析 |
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| 引用本文： | 张彦梅,陆启韶.非稳态油膜力作用下转子振动的分岔与稳定性分析[J].航空学报,2003,24(1):36-38. |
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| 作者姓名： | 张彦梅 陆启韶 |
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| 作者单位： | 北京航空航天大学,理学院,北京,100083 |
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| 基金项目： | 国家自然科学基金 (重大 19990 5 10 )，博士点基金(980 0 0 619)资助项目 |
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| 摘 要： | 利用新的短轴承非稳态油膜力模型分析转子系统的动力学特性, 并通过数值模拟, 得到了该系统随转动角速度变化产生的分岔和混沌特性。利用非线性动力学分析中的打靶法求该系统的周期解, 并利用Floquet 主导特征乘子判断不同周期轨道的失稳方式, 同时发现在系统的运动中存在着倍周期分岔和第二Hopf分岔及鞍结分岔。通过打靶法和Runge-Kutta 方法发现该系统在一定的角速度范围内存在加3 周期分岔。
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| 关 键 词： | 转子系统 打靶法 Floquet理论 稳定性 分岔 |
| 文章编号： | 1000-6893(2003)01-0036-03 |
| 修稿时间： | 2001年12月30 |
Bifurcation and Stability Analysis on Vibrations of Rotor Systems with Unsteady Oil Film Force |
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| ZHANG Yan mei,LU Qi shao.Bifurcation and Stability Analysis on Vibrations of Rotor Systems with Unsteady Oil Film Force[J].Acta Aeronautica et Astronautica Sinica,2003,24(1):36-38. |
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| Authors: | ZHANG Yan mei LU Qi shao |
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| Institution: | School of Sciences; Beijing University of Aeronautics and Astronautics; Beijing 100083; China |
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| Abstract: | A bearing rotor system is analyzed by using a new analytic model of the unsteady oil film force. The bifurcation and chaos behavior of the rotor system varying with the rotation angular frequency are obtained through numerical simulations. Using the shooting method of nonlinear dynamic analysis, the periodic solutions of the system are obtained, and unstable forms of different periodic orbits are judged by the leading Floquet multiplier. Doubling bifurcation, second Hopf bifurcation and saddle node bifurcation are found, and an adding three period bifurcation is observed by using the shooting method and Runge Kutta method. |
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| Keywords: | rotor system shooting method Floquet theory stability bifurcation |
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