| 碰摩转子系统的稳定性 |
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| 引用本文： | 褚福磊,汤晓瑛,唐云.碰摩转子系统的稳定性[J].清华大学学报(自然科学版),2000,40(4):119-123. |
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| 作者姓名： | 褚福磊 汤晓瑛 唐云 |
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| 作者单位： | 1. 清华大学,精密仪器与机械学系,摩擦学国家重点实验室,北京,100084
2. 清华大学,数学科学系,北京,100084 |
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| 基金项目： | 国家自然科学基金项目!(重大19990510)，国家“九五”攀登计划预选项目!(PD9521908Z2) |
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| 摘 要： | 为研究一个支承在油膜轴承上的单盘转子系统在发生动静件碰摩时系统的稳定性 ,假定轴承为短轴承近似和碰撞为弹性碰撞后 ,导出包括分段线性刚度和非线性油膜力的非线性运动微分方程 ;使用打靶法求系统的周期解并结合 Floquet理论分析解的稳定性 ,发现了在系统的运动中具有倍周期分岔和 Hopf分岔现象 ;研究结果对于更好地了解转子系统的碰摩故障以及其早期预测有意义
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| 关 键 词： | 转子系统 碰摩 稳定性 分岔 |
| 修稿时间： | 1999-08-17 |
Stability of a rub-impact rotor system |
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| CHU Fulei,TANG Xiaoying,TANG Yun.Stability of a rub-impact rotor system[J].Journal of Tsinghua University(Science and Technology),2000,40(4):119-123. |
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| Authors: | CHU Fulei TANG Xiaoying TANG Yun |
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| Abstract: | Vibration characteristics are investigated of a rub impact rotor system supported on oil film bearings. By analyzing the oil film forces obtained from the short bearing approximation, elastic impact and the Coulomb type of frictional relationship, a nonlinear mathematical model was presented with piecewise linear stiffness and nonlinear oil film forces. The shooting method was used to obtain the periodic solutions for the system. The stability of the solutions was analyzed using the Floquet theory. The period doubling bifurcation and the Hopf bifurcation were found. The results provide further understanding of the rub impact fault and enable early prediction of this fault in rotating machinery. |
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| Keywords: | rotor system rub-impact stability bifurcation |
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