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Research Papers: Elastohydrodynamic Lubrication

Dynamic Behaviors of the Elastohydrodynamic Lubricated Contact for Rolling Bearings

[+] Author and Article Information
Yu-Yan Zhang

e-mail: zhangyuyan@bit.edu.cn

Xiao-Li Wang

e-mail: xiaoli_wang@bit.edu.cn

Xiao-Liang Yan

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

1Corresponding author.

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received May 6, 2012; final manuscript received November 2, 2012; published online December 26, 2012. Assoc. Editor: Dong Zhu.

J. Tribol 135(2), 021501 (Dec 26, 2012) (8 pages) Paper No: TRIB-12-1072; doi: 10.1115/1.4023084 History: Received May 06, 2012; Revised November 02, 2012

The dynamic behaviors of a single elastohydrodynamic lubricated (EHL) contact between a rolling element and raceways under wider load and speed ranges are analyzed numerically based on the transient EHL model and the free vibration model. The discrete convolution and fast fourier transform method is implemented in order to increase the computational efficiency associated with elastic deformations and the semisystem approach is applied to improve the solution convergence under severe conditions. The change of mutual approach is selected as the standard of bearing vibrations and the inlet length and dimensionless natural frequency corresponding to the working load and speed are determined. The numerical results demonstrate that the stiffness increases with the increasing load and decreases with speed. However, the changes of damping are different in various working conditions, especially under heavier load and higher speed. It is also indicated that the stiffness and damping increase with the increase in ambient viscosity and the decrease in pressure-viscosity coefficient.

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References

Figures

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Fig. 1

Contact vibration model of a rolling element and the raceway

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Fig. 2

Equivalent EHL contact model and spring-damper model

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Fig. 3

Free vibrations of a one-degree-of-freedom system decay exponentially

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Fig. 4

Flow chart for the analysis of transient EHL under free vibrations

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Fig. 5

Comparison of the variations of steady state mutual approach with load under different speeds

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Fig. 6

The changes of stiffness and damping with increasing dimensionless inlet length (w = 20 N and u = 2 m/s)

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Fig. 7

The changes of stiffness and damping with dimensionless natural frequency (w = 50 N and u = 2 m/s)

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Fig. 8

Mutual approach displacement Δh0 versus time at different loads for u = 2 m/s

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Fig. 9

Stiffness and damping coefficients as functions of load (u = 2 m/s)

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Fig. 10

Stiffness and damping coefficients as functions of load (u = 8 m/s)

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Fig. 11

Damping coefficients as functions of load for different speeds

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Fig. 12

Stiffness and damping coefficients as functions of speed (w = 50 N)

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Fig. 13

Stiffness and damping coefficients as functions of speed (w = 500 N)

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Fig. 14

Damping coefficients as functions of speed for different loads

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Fig. 15

Stiffness and damping coefficients as functions of ambient viscosity (w = 100 N and u = 2 m/s)

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Fig. 16

Stiffness and damping coefficients as functions of α (w = 100 N and u = 2 m/s)

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