Dynamic Modelling for Calculating Comprehensive Stiffness of the Taper Roller Bearing

Authors

  • Ri CholUk  School of Mechanical Technology, Kim Chaek University of Technology, Pyongyang, 950003, Democratic People's Republic of Korea
  • NamGung Huan  Pyongyang Transportation of technology, Democratic People's Republic of Korea
  • O RyongSik  Pyongyang University of Mechanical Engineering, Democratic People's Republic of Korea
  • Kim ChangSop  Pyongyang Transportation of technology, Democratic People's Republic of Korea
  • Han JongMin  School of Mechanical Technology, Kim Chaek University of Technology, Pyongyang, 950003, Democratic People's Republic of Korea
  • Sung YunSong  Pyongyang Transportation of technology, Democratic People's Republic of Korea
  • KimJuYong  Pyongyang Transportation of technology, Democratic People's Republic of Korea

Keywords:

Taper roller bearing; Comprehensive stiffness; Hertz contact stiffness; Oil film stiffness; Dynamic modeling.

Abstract

The rotor system supported by the taper roller bearings is widely used in various fields such as aviation, space, and machinery due to its importance. In the study of the dynamic characteristics for the taper roller bearings, it is important to accurately calculate the stiffness of the taper roller bearings. The stiffness of the taper roller bearings is very important in the analysis of the vibration characteristics of the rotor system. Therefore, in this paper, the method of creating a comprehensive stiffness model of the taper roller bearing is mentioned. In consideration of the radial clearance of the taper roller bearing, the radial load acting on the taper roller bearing was derived, and based on this, a model for calculating the Hertz contact stiffness of the taper roller bearing was created. Based on the load considering the radial clearance, an oil film stiffness model of the taper roller bearing was created under the EHL theory. Then, the comprehensive stiffness was calculated by combining Hertz contact stiffness and the oil film stiffness of the taper roller bearing. When the radial clearance of the taper roller bearing is considered, the comprehensive stiffness is larger than when the radial clearance is not taken into account, and the radial clearance of the taper roller bearing is an important factor that directly affects the comprehensive stiffness of the taper roller bearing.

References

  1. Hertz H. On the contact of elastic solidsJ]. Z. Reine Angew. Mathematik, 1881, 92: 156-171.
  2. Jones A B. Ball motion and sliding friction in ball bearingsJ]. Journal of Basic Engineering, 1959, 81(1):1-12.
  3. Palmgren A. Ball and roller bearing engineeringJ]. Philadelphia: SKF Industries Inc, 1959.
  4. Houpert L. A Uniform analytical approach for ball and roller bearings calculations. Journal of Tribology. 1997, 199(4): 851-858
  5. Walters, C. T. The Dynamics of ball bearingsJ]. Journal of Tribology, 1971, 93(1):1-10.
  6. Harris T A, Mindel M H. Rolling element bearing dynamicsJ]. Wear, 1973, 23(3): 311-337.
  7. Walford T L H, Stone B J. The measurement of the radial stiffness of rolling element bearings under oscillating conditionsJ]. Journal of Mechanical Engineering Science, 1980, 22(4): 175-181.
  8. Harris T A. Rolling Bearing Analysis, John Wiley and Sons, Inc, New York, 1984.
  9. Gupta P K. Advanced dynamics of rolling elements, Springer Verlag, Inc, New York, 1984.
  10. McFadden P D, Smith J D. Model for the vibration produced by a single point defect in a rolling element bearingJ]. Journal of sound and vibration, 1984, 96(1): 69-82.
  11. Hagiu G D, Gafitanu M D. Dynamic characteristics of high speed angular contact ball bearingsJ]. Wear, 1997, 211(1): 22-29.
  12. Akturk N. The effect of waviness on vibrations associated witli ball bearings. Journal of Tribology. 1999, 121(4), 667-677.
  13. Venner C H, Wijnant Y H. Validation of EHL contact predictions under time varying loadJ]. Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology, 2005, 219(4): 249-261.
  14. Wu H, Sang S J, An Q. A new vibration model for a bearing-rotor system considering a bearing structureJ]. Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics, 2011, 225(1): 1-11.
  15. Zhang J, Fang B, Hong J, Wan S, and Zhu Y. A general model for preload calculation and stiffness analysis for combined angular contact ball bearingsJ]. Journal of Sound and Vibration, 2017, 411: 435-449.
  16. Yang Z, Chen H, Yu T. Effects of rolling bearing configuration on stiffness of machine tool spindleJ]. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2018, 232(5): 775-785.

IInternational Journal of Scientific Research in Mechanical and Materials Engineering

Downloads

Published

2022-01-30

Issue

Volume 6, Issue 1, January-February-2022

Section

Research Articles

License

Copyright (c) IJSRMME

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
Ri CholUk, NamGung Huan, O RyongSik, Kim ChangSop, Han JongMin, Sung YunSong, KimJuYong, " Dynamic Modelling for Calculating Comprehensive Stiffness of the Taper Roller Bearing, IInternational Journal of Scientific Research in Mechanical and Materials Engineering(IJSRMME), ISSN : 2456-3307, Volume 6, Issue 1, pp.01-10, January-February-2022.