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Research Papers

Dynamic Analysis of a High-Speed Rotor-Ball Bearing System Under Elastohydrodynamic Lubrication

[+] Author and Article Information
Yu-Yan Zhang

Beijing Institute of Technology,
School of Mechanical Engineering,
Beijing 100081, China
e-mail: zhangyuyan@bit.edu.cn

Xiao-Li Wang

Beijing Institute of Technology,
School of Mechanical Engineering,
Beijing 100081, China
e-mail: xiaoli_wang@bit.edu.cn

Xiao-Qing Zhang

Beijing Institute of Technology,
School of Mechanical Engineering,
Beijing 100081, China
e-mail: xiaogear@bit.edu.cn

Xiao-Liang Yan

Beijing Institute of Technology,
School of Mechanical Engineering,
Beijing 100081, China
e-mail: yanxiaoliang111@126.com

1Corresponding author.

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received April 27, 2013; final manuscript received July 24, 2014; published online September 1, 2014. Assoc. Editor: Mary Kasarda.

J. Vib. Acoust 136(6), 061003 (Sep 01, 2014) (11 pages) Paper No: VIB-13-1140; doi: 10.1115/1.4028311 History: Received April 27, 2013; Revised July 24, 2014

The nonlinear dynamic behaviors of a high-speed rotor-ball bearing system under elastohydrodynamic lubrication (EHL) are investigated. First, the numerical curve fittings for stiffness and damping coefficients of lubricated contacts between rolling elements and races are undertaken, and then the fitted formulae are introduced to the equations of motion of the rotor-ball bearing system to investigate its nonlinear characteristics. Furthermore, the time responses, power spectra, phase trajectories, orbit plots, and bifurcation diagrams for cases of ignoring and considering the lubrication condition in bearings are inspected and compared. The results indicate that, when lubrication is taken into account, the amplitudes of vibration displacements and velocities of the rotor system increase, and the appearance of different regions of periodic, quasi-periodic, and chaotic behavior is strongly dependent on the speed and load.

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Figures

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Fig. 1

(a) Rotor-ball bearing system and (b) vibration model of the ball bearing

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Fig. 2

(a) Equivalent EHL model and (b) spring-damper model

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Fig. 3

Free vibrations of a one degree-of-freedom system decay exponentially [9]

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Fig. 4

Fitting process of stiffness and damping versus M at different L

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Fig. 5

Fitting coefficients versus L

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Fig. 6

Flowchart for the dynamic simulation of rotor-bearing systems

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Fig. 7

Comparison of present simulation results with Tiwari's et al. [3] (n = 10,750 rpm)

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Fig. 8

Responses in horizontal and vertical directions (Fz = 10,000 N, n = 13,000 rpm): (a) considering lubrication and (b) ignoring lubrication

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Fig. 9

Bifurcation diagrams of the horizontal displacement and velocity versus speed (Fz = 2000 N): (a) considering lubrication and (b) ignoring lubrication

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Fig. 10

Detailed bifurcation diagrams in different speed ranges (Fz = 2000 N)

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Fig. 11

Variations of composite stiffness and damping coefficients under different speeds

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Fig. 12

Bifurcation diagrams of the horizontal displacement versus radial load (n = 5000 rpm): (a) considering lubrication and (b) ignoring lubrication

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Fig. 13

Variations of composite stiffness and damping coefficients under different radial loads (n = 5000 rpm)

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Fig. 14

Bifurcation diagrams of the displacement and velocity versus axial loads (Fz = 10,000 N, n = 5000 rpm)

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