| 非线性不平衡转子轴承系统周期解的预测 |
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| 引用本文： | 刘恒,虞烈,谢友柏,姚福生.非线性不平衡转子轴承系统周期解的预测[J].航空动力学报,1999,14(1):74-78. |
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| 作者姓名： | 刘恒 虞烈 谢友柏 姚福生 |
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| 作者单位： | 1. 西安交通大学
2. 机械工业部 |
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| 摘 要： | 本文提出一种对非线性不平衡转子轴承系统周期解进行预测的新型算法，它利用系统周期解的稳态及瞬态信息，反解雅可比矩阵，实现对系统周期解的预测追踪，并利用反解得出的雅可比矩阵，求得系统周期解的Ｆｌｏｑｕｅｔ乘子以判别其非线性稳定性。文中以刚性不平衡转子轴承系统为例，实现了周期解的预测追踪及非线性稳定性判别，说明了新算法的有效性。
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| 关 键 词： | 转子 轴承 非线性 周期解 预测 |
| 收稿时间： | 2/1/1998 12:00:00 AM |
| 修稿时间： | 4/1/1998 12:00:00 AM |
PREDICTION FOR NONLINEAR PERIODIC SOLUTIONS OF UNBALANCED ROTOR BEARING SYSTEM |
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| Liu Heng,Yu Lie,Xie Youbai and Yao Fusheng.PREDICTION FOR NONLINEAR PERIODIC SOLUTIONS OF UNBALANCED ROTOR BEARING SYSTEM[J].Journal of Aerospace Power,1999,14(1):74-78. |
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| Authors: | Liu Heng Yu Lie Xie Youbai and Yao Fusheng |
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| Institution: | Lubrication Theory and Bearing Institute, Xi'an Jiaotong University, Xi'an 710048;Lubrication Theory and Bearing Institute, Xi'an Jiaotong University, Xi'an 710048;Lubrication Theory and Bearing Institute, Xi'an Jiaotong University, Xi'an 710048;Ministry of Mechanical Engineering, Beijing 100823 |
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| Abstract: | A new prediction method for periodic solutions of unbalanced bearing rotor system is provided,which uses the steady state and transient state information of the periodic solutions to solve Jacobi matrix.Then this method can predict and trace the periodic solution of the system.At the same time,the Floquet multiplier of the periodic solution can be obtained from Jacobi matrix to judge its nonlinear stability.Because the steady state and transient state information of the periodic solution can be observed in practice,the method would be used widely.A rigid unbalanced bearing rotor system is taken as an example,the T periodic solution of this system is predicted and traced. |
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| Keywords: | Rotors Bearings nonlinearity Periodic solutions Prediction |
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