0
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.

FIGURES IN THIS ARTICLE
<>
Copyright © 2014 by ASME
Your Session has timed out. Please sign back in to continue.

References

Liu, Y., Liu, H., Yi, J., and Jing, M. Q., 2013, “Investigation on the Stability and Bifurcation of a 3D Rotor-Bearing System,” ASME J. Vib. Acoust., 135(3), p. 031017. [CrossRef]
Lioulios, A., and Antoniadis, I., 2006, “Effect of Rotational Speed Fluctuations on the Dynamic Behavior of Rolling Element Bearings With Radial Clearances,” Int. J. Mech. Sci., 48(8), pp. 809–829. [CrossRef]
Tiwari, M., Gupta, K., and Prakash, O., 2000, “Effect of Radial Internal Clearance of a Ball Bearing on the Dynamics of a Balanced Horizontal Rotor,” J. Sound Vib., 238(5), pp. 723–756. [CrossRef]
Bai, C. Q., Zhang, H. Y., and Xu, Q. Y., 2008, “Effects of Axial Preload of Ball Bearing on the Nonlinear Dynamic Characteristics of a Rotor-Bearing System,” Nonlinear Dyn., 53(3), pp. 173–190. [CrossRef]
Kramer, E., 1993, Dynamics of Rotors and Foundations, Springer-Verlag, Berlin, Germany.
Sopanen, J., and Mikkola, A., 2003, “Dynamic Model of a Deep-Groove Ball Bearing Including Localized and Distributed Defects. Part 1: Theory,” Proc. Inst. Mech. Eng., Part K: J. Multi-Body Dyn., 217(3), pp. 201–211. [CrossRef]
Hamrock, B. J., and Dowson, D., 1977, “Isothermal Elastohydrodynamic Lubrication of Point Contacts, Part 3: Fully Flooded Results,” ASME J. Lubr. Technol., 99(2), pp. 264–276. [CrossRef]
Babu, C. K., Tandon, N., and Pandey, R. K., 2014, “Nonlinear Vibration Analysis of an Elastic Rotor Supported on Angular Contact Ball Bearings Considering Six Degrees of Freedom and Waviness on Balls and Races,” ASME J. Vib. Acoust., 136(4), p. 044503. [CrossRef]
Zhang, Y. Y., Wang, X. L., and Yan, X. L., 2013, “Dynamic Behaviors of the Elastohydrodynamic Lubricated Contact for Rolling Bearings,” ASME J. Tribol., 135(2), p. 021501. [CrossRef]
Chen, G., 2009, “Study on Nonlinear Dynamic Response of an Unbalanced Rotor Supported on Ball Bearing,” ASME J. Vib. Acoust., 131(6), p. 061001. [CrossRef]
Roelands, C. J. A., 1966, “Correlational Aspects of the Viscosity–Temperature–Pressure Relationship of Lubricating Oils,” Ph.D. thesis, Delft University of Technology, Delft, The Netherlands.
Dowson, D., and Higginson, G. R., 1966, Elastohydrodynamic Lubrication, Pergamon, Oxford, UK.
Harris, T. A., and Kotzalas, M. N., 2007, Rolling Bearing Analysis: Advanced Concepts of Bearing Technology, Taylor & Francis Group, London, UK.
Hagiu, G. D., and Gafitanu, M. D., 1997, “Dynamic Characteristics of High Speed Angular Contact Ball Bearings,” Wear, 211(1), pp. 22–29. [CrossRef]
Wensing, J. A., 1998, “On the Dynamics of Ball Bearings,” Ph.D. thesis, University of Twente, Enschede, The Netherlands.

Figures

Grahic Jump Location
Fig. 3

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

Grahic Jump Location
Fig. 4

Fitting process of stiffness and damping versus M at different L

Grahic Jump Location
Fig. 5

Fitting coefficients versus L

Grahic Jump Location
Fig. 6

Flowchart for the dynamic simulation of rotor-bearing systems

Grahic Jump Location
Fig. 8

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

Grahic Jump Location
Fig. 7

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

Grahic Jump Location
Fig. 14

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

Grahic Jump Location
Fig. 9

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

Grahic Jump Location
Fig. 10

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

Grahic Jump Location
Fig. 11

Variations of composite stiffness and damping coefficients under different speeds

Grahic Jump Location
Fig. 12

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

Grahic Jump Location
Fig. 13

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

Grahic Jump Location
Fig. 1

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

Grahic Jump Location
Fig. 2

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

Tables

Errata

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In