含间隙球轴承-转子系统的主共振研究
收稿日期: 2012-07-25
修回日期: 2012-10-06
网络出版日期: 2012-11-22
基金资助
国家级项目
Primary Resonance Research on Ball Bearing-rotor System with Bearing Clearance
Received date: 2012-07-25
Revised date: 2012-10-06
Online published: 2012-11-22
Supported by
National Level Item
李洪亮 , 陈予恕 . 含间隙球轴承-转子系统的主共振研究[J]. 航空学报, 2013 , 34(6) : 1356 -1362 . DOI: 10.7527/S1000-6893.2013.0236
In order to reveal the resonance mechanism of a ball bearing-rotor system, a motion equation is established which takes into consideration the nonsymmetric bearing clearance due to gravity or assembly and the Hertz contact between the ball and race. In the case of primary resonance, analytical solution is firstly obtained by the averaging method, and the effects of system parameters are also discussed. On the basis of the singularity theory, transition sets in the parameter plane are calculated, and bifurcation modes of resonance solution in different parameter regions are investigated. Finally, theoretical analysis is verified by numerical simulation. Thus, a theoretical basis is provided for the vibration control of the ball bearing-rotor system.
Key words： ball bearing; clearance; Hertz contact; primary resonance; bifurcation
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