| NONLINEAR STABILITY OF BALANCED ROTOR DUE TO EFFECT OF BALL BEARING INTERNAL CLEARANCE |
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| 引用本文： | 白长清,许庆余,张小龙. NONLINEAR STABILITY OF BALANCED ROTOR DUE TO EFFECT OF BALL BEARING INTERNAL CLEARANCE[J]. 应用数学和力学(英文版), 2006, 27(2): 175-186. DOI: 10.1007/s 10483-006-0205-1 |
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| 作者姓名： | 白长清 许庆余 张小龙 |
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| 作者单位： | [1]School of Aerospace, Xi＇an Jiaotong University, Xi＇an 710049, P. R. China [2]Mechanical and Electrical Engineering College, Xi＇an University of Architecture ＆ Technology, Xi＇an 710055, P. R. China |
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| 摘 要： | Stability and dynamic characteristics of a ball bearing-rotor system are investigated under the effect of the clearance in the ball bearing. Different clearance values are assumed to calculate the nonlinear stability of periodic solution with the aid of the Floquet theory. Bifurcation and chaos behavior are analyzed with variation of the clearance and rotational speed. It is found that there are three routes to unstable periodic solution. The period-doubling bifurcation and the secondary Hopf bifurcation are two usual routes to instability. The third route is the boundary crisis, a chaotic attractor occurs suddenly as the speed passes through its critical value. At last, the instable ranges for different internal clearance values are described. It is useful to investigate the stability property of ball bearing rotor system.
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| 关 键 词： | 非线性稳定性 平衡转子 球轴承 混沌理论 间隙 |
| 收稿时间： | 2004-06-28 |
| 修稿时间： | 2005-10-11 |
Nonlinear stability of balanced rotor due to effect of ball bearing internal clearance |
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| Chang-qing Bai,Qing-yu Xu,Xiao-long Zhang. Nonlinear stability of balanced rotor due to effect of ball bearing internal clearance[J]. Applied Mathematics and Mechanics(English Edition), 2006, 27(2): 175-186. DOI: 10.1007/s 10483-006-0205-1 |
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| Authors: | Chang-qing Bai Qing-yu Xu Xiao-long Zhang |
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| Affiliation: | 1. School of Aerospace, Xi'an Jiaotong University, Xi'an 710049, P. R. China
2. School of Aerospace, Xi'an Jiaotong University, Xi'an 710049, P. R. China;Mechanical and Electrical Engineering College, Xi'an University of Architecture & Technology,Xi'an 710055, P. R. China |
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| Abstract: | Stability and dynamic characteristics of a ball bearing-rotor system are investigated under the effect of the clearance in the ball bearing. Different clearance values are assumed to calculate the nonlinear stability of periodic solution with the aid of the Floquet theory. Bifurcation and chaos behavior are analyzed with variation of the clearance and rotational speed. It is found that there are three routes to unstable periodic solution. The period-doubling bifurcation and the secondary Hopf bifurcation are two usual routes to instability. The third route is the boundary crisis, a chaotic attractor occurs suddenly as the speed passes through its critical value. At last, the instable ranges for different internal clearance values are described. It is useful to investigate the stability property of ball bearing rotor system. |
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| Keywords: | ball bearing clearance rotor stability bifurcation chaos |
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