## 留言板

 引用本文: 白长青, 许庆余, 张小龙. 考虑径向内间隙的滚动轴承平衡转子系统的非线性动力稳定性[J]. 应用数学和力学, 2006, 27(2): 159-169.
BAI Chang-qing, XU Qing-yu, ZHANG Xiao-long. Nonlinear Stability of Balanced Rotor Due to the Effect of Ball Bearing Internal Clearance[J]. Applied Mathematics and Mechanics, 2006, 27(2): 159-169.
 Citation: BAI Chang-qing, XU Qing-yu, ZHANG Xiao-long. Nonlinear Stability of Balanced Rotor Due to the Effect of Ball Bearing Internal Clearance[J]. Applied Mathematics and Mechanics, 2006, 27(2): 159-169.

## 考虑径向内间隙的滚动轴承平衡转子系统的非线性动力稳定性

###### 作者简介:白长青(1976- ),男,回族,甘肃兰州人,博士研究生(联系人.Tel:+86-29-82663093;E-mail:bai_chq@sohu.com).
• 中图分类号: O347.6

## Nonlinear Stability of Balanced Rotor Due to the Effect of Ball Bearing Internal Clearance

• 摘要: 研究滚动轴承平衡转子系统在不同轴承内间隙量,不同转速下系统的稳定性及其分岔特性和混沌．考虑Hertz接触力、 滚动体通过振动和轴承径向内间隙等非线性因素建立数学模型，根据Floquet理论分析不同间隙量下滚动轴承转子系统的周期解稳定性， 找到了3种导致周期解失稳的方式：倍周期分岔失稳、拟周期分岔失稳和边界激变导致混沌失稳．通过对各间隙量下转子系统拓扑特性变化和失稳区域的研究，表明滚动轴承间隙量是影响转子系统动力稳定性的一个重要因素．
•  [1] Gustafsson O G,Tallian T,et al.Research report on study of the vibration characteristics of bearing[R]. Report:AL631023,Reg:585 14:422 3 SKF Ind,Inc，1963. [2] Tamura H,Gad E H,Kondou T,et al.The static running accuracy of ball bearing,memoirs of the faculty of engineering[J].J Kyushu University,1983,43(4)：285—316. [3] Anonynous.NSK explains about internal clearance in rolling bearings[J].Industrial Lubrication and Tribology,2002,54(2)：87—88. [4] Tiwari M,Gupta K,Prakash O.Effect of radial internal clearance of a ball bearing on the dynamics of a balanced horizontal rotor[J].Journal of Sound and Vibration,2000,238(5)：723—756. [5] Harsha S P,Sandeep K,Prakash R.The effect of speed of balanced rotor on nonlinear vibrations associated with ball bearings[J].International Journal of Mechanical Sciences,2003,45(4)：725—740. [6] Mevel B,Guyader J L.Routes to chaos in ball bearings[J].Journal of Sound and Vibration,1993,162(3)：471—487. [7] Aktürk N.Dynamics of a rigid shaft supported by angular contact ball bearings[D].Ph D thesis.London U K:Imperial College of Science, Technology and Medicine,1993. [8] Harris Tedric A.Rolling Bearing Analysis[M].New York:John Wiley & Sons,1984. [9] 刘延柱，陈立群.非线性振动[M].北京：高等教育出版社，2001. [10] 周纪卿，朱因远.非线性振动[M].西安：西安交通大学出版社，1998. [11] Ott Edward.Chaos in Dynamical Systems[M].Cambridge:Cambridge University Press,1993.

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##### 出版历程
• 收稿日期:  2004-06-28
• 修回日期:  2005-10-11
• 刊出日期:  2006-02-15

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