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Research Papers

A General Method for the Dynamic Modeling of Ball Bearing–Rotor Systems

[+] Author and Article Information
Yamin Li

State Key Laboratory for Manufacturing
Systems Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China
e-mail: huishita.liyamin@stu.xjtu.edu.cn

Hongrui Cao

Associate Professor
State Key Laboratory for Manufacturing
Systems Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China
e-mail: chr@mail.xjtu.edu.cn

Linkai Niu

State Key Laboratory for Manufacturing
Systems Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China
e-mail: niulinkai@stu.xjtu.edu.cn

Xiaoliang Jin

Assistant Professor
Mem. ASME
School of Mechanical and
Aerospace Engineering,
Oklahoma State University,
Stillwater, OK 74078-5016
e-mail: xiaoliang.jin@okstate.edu

1Corresponding author.

Contributed by the Manufacturing Engineering Division of ASME for publication in the JOURNAL OF MANUFACTURING SCIENCE AND ENGINEERING. Manuscript received May 24, 2014; final manuscript received November 28, 2014; published online February 4, 2015. Assoc. Editor: Tony Schmitz.

J. Manuf. Sci. Eng 137(2), 021016 (Apr 01, 2015) (11 pages) Paper No: MANU-14-1293; doi: 10.1115/1.4029312 History: Received May 24, 2014; Revised November 28, 2014; Online February 04, 2015

A general dynamic modeling method of ball bearing–rotor systems is proposed. Gupta's bearing model is applied to predict the rigid body motion of the system considering the three-dimensional motions of each part (i.e., outer ring, inner ring, ball, and rotor), lubrication tractions, and bearing clearances. The finite element method is used to model the elastic deformation of the rotor. The dynamic model of the whole ball bearing–rotor system is proposed by integrating the rigid body motion and the elastic vibration of the rotor. An experiment is conducted on a test rig of rotor supported by two angular contact ball bearings. The simulation results are compared with the measured vibration responses to validate the proposed model. Good agreements show the accuracy of the proposed model and its ability to predict the dynamic behavior of ball bearing–rotor systems. Based on the proposed model, vibration responses of a two bearing–rotor system under different bearing clearances were simulated and their characteristics were discussed. The proposed model may provide guidance for structural optimization, fault diagnosis, dynamic balancing, and other applications.

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Figures

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Fig. 1

Geometrical interactions of a bearing–rotor system

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Fig. 2

Ball/raceway interaction

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Fig. 3

Finite element model of the rotor

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Fig. 4

Flow chart of numerical computation

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Fig. 5

The bearing–rotor test rig

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Fig. 6

Simplified assembly drawing of the test rig

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Fig. 7

The finite element model of the rotor

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Fig. 8

Traction model of lubricant in simulation

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Fig. 9

The comparison of vibration response at node 8 between simulation and experiment

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Fig. 10

Frequency spectra of experiment and simulation: (a) spectrum of experiment, (b) spectrum of F–M, and (c) spectrum of R–M

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Fig. 11

The peak value of vibration response of the rotor at each node

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Fig. 12

Time domain response of node 3: (a) clearance = 0 μm, (b) clearance = 5 μm, (c) clearance = 10 μm, (d) clearance = 15 μm, (e) clearance = 20 μm, and (f) clearance = 25 μm

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Fig. 13

Frequency spectrum of vibration for different clearances

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Fig. 14

(a) and (b) Contact force between a ball and the inner raceway for different clearances

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Fig. 15

Average peak value of contact force for different clearances

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