| 单盘转子的同步全周碰摩及其稳定性分析 |
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| 引用本文： | 许斌,徐尉南,张文.单盘转子的同步全周碰摩及其稳定性分析[J].复旦学报(自然科学版),2006,45(2):148-154,169. |
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| 作者姓名： | 许斌 徐尉南 张文 |
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| 作者单位： | 复旦大学,力学与工程科学系,上海,200433;复旦大学,力学与工程科学系,上海,200433;复旦大学,力学与工程科学系,上海,200433 |
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| 摘 要： | 对带不平衡量的Jeffcott转子,采用当量弹簧线性碰摩模型,进行了同步全周碰摩运动分析:寻找同步全周碰摩解的参数存在区,求出同步全周碰摩解的表达式,讨论同步全周碰摩解的稳定性,导出同步全周碰摩解稳定性判据,给出稳定区判据近似表达式.
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| 关 键 词： | Jeffcott转子 同步全周碰摩 运动稳定性 稳定性判据 |
| 文章编号： | 0427-7104（2006）02-0148-07 |
| 收稿时间： | 2005-09-19 |
| 修稿时间： | 2005-09-19 |
Study of Synchronous Full Annular Rub of Jeffcott Rotor and Its Dynamic Stability |
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| XU Bin,XU Wei-nan,ZHANG Wen.Study of Synchronous Full Annular Rub of Jeffcott Rotor and Its Dynamic Stability[J].Journal of Fudan University(Natural Science),2006,45(2):148-154,169. |
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| Authors: | XU Bin XU Wei-nan ZHANG Wen |
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| Institution: | Department of Mechanics and Engineering Science, Fudan University, Shanghai 200433, China |
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| Abstract: | The synchronous full annular rub motion of a Jeffcott rotor and its dynamic stability behaviour are studied analytically in detail.The linear spring model is adopted to model the local impact-deformation phenomenon.The formula for evaluating the equivalent stiffness of the spring is obtained.The eccentricity of the disk is considered in the Jeffcott rotor.The exact full annular rub solutions are obtained mathematically.It is found that the full annular rub motions exist in a wide spinning region of the rotor.The dynamic stability of the full annular rub motions is also studied seriously by linear perturbation method and by the Routh-Hurwitz criterion.An accurate formula for the stability criterion is deduced.An approximate formula of the stability criterion is also obtained.The approximate formula is simple and explicit for engineers. |
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| Keywords: | Jeffcott rotor synchronous full annular rub dynamic stability criterion for dynamic stability |
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