Study on the Dynamic Characteristics of a Rotor Bearing System with Damping Rings Subjected to Base Vibration

  • Haimin Zhu
  • Weifang ChenEmail author
  • Rupeng Zhu
  • Jie Gao
  • Meijun Liao
Original Paper



In this paper, the influence of base excitation on the rotor-rolling bearings’ supports with rubber damping rings coupling dynamics model was studied.


Using the finite-element theory associated with the lumped mass method, the governing differential equations of the coupling system were established. In this model, the rotor was discretized using Timoshenko beam elements, while the supports and ball bearing outer races were modelled as lumped parameter models.


The dynamic model was verified by varying compliance (VC) vibration impact analysis, the influence of the rubber damping ring, and the rotor unbalanced response. On this basis, the effect of the dynamic characteristics of the rotor coupling system subjected to base vibration was analysed.


The base excitation frequency near the natural frequency of the rotor not only exerts an effect on the rotor vibration in the direction of excitation but also the rotor oscillation in the other directions. The amplitude of the axial trajectory is influenced by the frequencies and amplitudes of the foundation excitation. As the amplitudes of the base excitation increase, the amplitude of the axis trajectory tends to increase linearly, and the speed of growth is different at various base excitation frequencies. The shape of the axial trajectory is mainly affected by the foundation excitation frequencies. As the excitation frequency changes, the axis trajectory becomes complicated, and the combination resonance phenomenon occurs.


Timoshenko beam Coupling dynamics Rolling bearing Base vibration Combination resonance 

List of symbols

r1, r2

Inner and outer diameter of the hollow rotor, respectively

mbnl, mbnr

Mass of the left and right inner race of rolling bearings, respectively

mbwl, mbwr

Mass of the left and right outer race of rolling bearings, respectively

mbsl, mbsr

Mass of the left and right support, respectively

Fxbl, Fybl

Force of the left bearing in the X and Y directions, respectively

Fxbr, Fybr

Force of the right bearing in the X and Y directions, respectively


Stiffness of the rubber damping ring


Loss factor of the rubber damping ring

kx1, ky1

Stiffness between the support and the foundation in the X and Y directions, respectively

cx1, cy1

Damping between the support and the foundation in the X and Y directions, respectively


Number of balls


Length of the rotor


Axial cross-sectional area


Cross-section rotary inertia


Density of the rotor


Elastic modulus



The work described in this paper was fully supported by the National Science Foundation of China (Grant nos. 51775265 and 51775277).


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Copyright information

© KrishteleMaging Solutions Private Limited 2019

Authors and Affiliations

  • Haimin Zhu
    • 1
  • Weifang Chen
    • 1
    Email author
  • Rupeng Zhu
    • 1
  • Jie Gao
    • 2
  • Meijun Liao
    • 2
  1. 1.National Key Laboratory of Science and Technology on Helicopter TransmissionNanjing University of Aeronautics and AstronauticsNanjingChina
  2. 2.AECC Hunan Aviation Powerplant Research InstituteZhuzhouChina

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