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ACTA AERONAUTICAET ASTRONAUTICA SINICA ›› 2013, Vol. 34 ›› Issue (6): 1356-1362.doi: 10.7527/S1000-6893.2013.0236

• Solid Mechanics and Vehicle Conceptual Design • Previous Articles     Next Articles

Primary Resonance Research on Ball Bearing-rotor System with Bearing Clearance

LI Hongliang, CHEN Yushu   

  1. School of Astronautics, Harbin Institute of Technology, Harbin 150001, China
  • Received:2012-07-25 Revised:2012-10-06 Online:2013-06-25 Published:2012-11-22
  • Contact: 10.7527/S1000-6893.2013.0236 E-mail:yschen@hit.edu.cn
  • Supported by:

    National Level Item

Abstract:

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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