| 滑动轴承—转子系统Hopf分岔分析计算方法 |
| |
| 引用本文： | 袁小阳,朱均.滑动轴承—转子系统Hopf分岔分析计算方法[J].航空动力学报,1999,14(2):166-170,219-220. |
| |
| 作者姓名： | 袁小阳 朱均 |
| |
| 作者单位： | 西安交通大学 |
| |
| 摘 要： | 基于Ｈｏｐｆ分岔定性理论、周期系统Ｆｌｏｑｕｅｔ理论，针对流固耦合系统力函数计算特点，并考虑系统规模大小对算法的不同要求，提出了一套新的转子—轴承系统Ｈｏｐｆ分岔分析计算方法。这套方法主要包括自激周期解计算的边值方法、周期解稳定性判别算法、周期解预测—校正延续算法、自激振动的稳定裕度准则等，可以有效地确定转子—轴承系统Ｈｏｐｆ分岔临界点及分岔方向，可以研究分岔解的发展、变化，包括研究实践中关注的“跳跃”、“迟滞”等典型非线性现象。
|
| 关 键 词： | 转子 滑动轴承 分岔 |
| 收稿时间： | 1997/10/1 0:00:00 |
| 修稿时间： | 6/1/1998 12:00:00 AM |
HOPF BIFURCATION OF A ROTOR-SLIDING BEARING SYSTEM |
| |
| Yuan Xiaoyang and Zhu Jun.HOPF BIFURCATION OF A ROTOR-SLIDING BEARING SYSTEM[J].Journal of Aerospace Power,1999,14(2):166-170,219-220. |
| |
| Authors: | Yuan Xiaoyang and Zhu Jun |
| |
| Affiliation: | Theory of Lubrication and Bearing Institute, Xi'an Jiaotong University, Xi'an 710049;Theory of Lubrication and Bearing Institute, Xi'an Jiaotong University, Xi'an 710049 |
| |
| Abstract: | A new numeric-analytical method for Hopf bifurcation of a rotor-bearing system is presented according to the Hopf bifurcation theory and Floquet stability theory.The method comprises a modified shooting method for calculating periodic solutions,a calculation method for determining the stability of the solutions,and a prediction correction procedure for tracing the solutions,etc.The software package realized with these techniques was used for efficient and accurate study of Hopf bifurcation behaviors of rotor-sliding bearing systems.The results show that there exists an unstable subcritical limit cycle for small E s ,the journal center eccentricity ratio at a critical instability.A stable supercritical limit cycle exists for large E s .When supercritical bifurcation occurs,limit cycle appears as soon as the rotor speed exceeds its threshold value,and the limit cycle does not become unstable until the rotor speed surpasses the threshold speed a lot.When subcritical bifurcation occurs,the behavior of rotor is more complicated.In addition to existence of an unstable limit cycle below the threshold speed,there are large-amplitude stable limit cycles both above and below the threshold speed.That explains why jump phenomena and hysteresis in the amplitude may occur in a rotor-sliding bearing system. |
| |
| Keywords: | Rotors Sliding bearing Bifurcation |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《航空动力学报》浏览原始摘要信息 |
|
点击此处可从《航空动力学报》下载全文 |
|
