Transactions of the Korean Society for Noise and Vibration Engineering (한국소음진동공학회논문집)

The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
권호 표지
DOI QR코드

DOI QR Code

Bearing Vibration and Fatigue Life Analysis According to Fitting between Ball Bearing and Housing with Geometrical Errors

볼 베어링과 형상오차를 갖는 하우징의 끼워 맞춤에 따른 베어링 진동 및 피로 수명의 영향

  • Published : 2006.05.01
Download PDF
⟨ Previous Next ⟩

Abstract

It is known that ball bearings mounted in housing or on shaft are playing a key role to keep it running smoothly. The roundness of a housing bore on which bearing outer ring is mounted with interference has directly affected the running accuracy of bearing. The running accuracy of bearing, therefore, can extend the significant influence to the rotating machinery as well. In this paper, bearing's vibration and fatigue life considering raceway roundness of ball bearing before and after mounted in housing bore are theoretically estimated. To perform analysis, a simple three degrees of freedom model was proposed and then Newton-Raphson iterative method was introduced to be utilized in the analysis. The results show that the vibration magnitude of ball bearing fitted into housing unit is appeared considerably larger than the one of its pre-assembling. And theoretical $L_{10}$ life which ninety percent of the bearing population will endure decreased in about fifty percent.

Keywords

References

  1. Lundberg, G. and Palmgren, A. K., 1947, 'Dynamic Capacity of Rolling Bearings,' ACTA POLYTECHNICA, Mechanical Engineering Series 1, Royal Swedish Academy of Engineering Science, No.3. pp. 36-46
  2. Weibull, W., 1956, 'Scatter of Fatigue Life and Fatigue Strength in Aircraft Structure Materials and Parts,' Fatigue in Aircraft Structure, N. Y., Academic Press, pp. 126-145
  3. Yhland, E. M., 1967, 'Waviness Measurement-An Instrument for Quality Control in Rolling Bearing Industry,' Proc. IMechE, Vol. 182, Part 3K pp. 438-445
  4. Yhland, E. M., 1992, 'A Linear Theory of Vibrations Caused by Ball Bearings with Form Errors Operating at Moderate Speed,' ASME, J. of Tribology, Apr, Vol. 114, pp.348-359 https://doi.org/10.1115/1.2920894
  5. Harris, T. A., 1991, Rolling Bearing Analysis, 3rd Ed., John Wiley & Sons, INC
  6. ISO, 1985, 'Explanatory Note on ISO 281/1 -1977,' Technical Report 8646
  7. Ono, K. and Takahasi, K., 1996, 'Theoretical Analysis of Shaft Vibration Supported by a Ball Bearing with Small Sinusoidal Waviness,' IEEE Trans. on Magnetics, Vol. 32, No.3, pp. 1709-1714 https://doi.org/10.1109/20.492853
  8. Ono, K. and Takahasi, K.,1996, 'Theoretical Analysis of Shaft Vibration Supported by a Ball Bearing with Small Sinusoidal Waviness,' IEEE Trans. on Magnetics, Vol. 32, No.3, pp.1709-1714 https://doi.org/10.1109/20.492853
  9. Akturk, N., Uneeb, M. and Gohar, R., 1997, 'The Effects of Number of Balls and Preload on Vibrations Associated with Ball Bearings,' ASME, J.of Tribology, Vol. 119, pp.747-753 https://doi.org/10.1115/1.2833880
  10. Akturk, N., 1999, 'The Effects of Number of Balls and Preload on Vibrations Associated with Ball Bearings,' ASME, J. of Tribology, Vol. 121, pp. 667-677 https://doi.org/10.1115/1.2834121
  11. Jeong, S. W. and Jang, G. H., 2001, 'Analytical Theory of Ball Bearing Considering Waviness of Rolling Elements,' Transactions of the Korean Society for Noise and Vibration Engineering. Vol. 11, No.7, pp.275-286
  12. FAG Bearings Korea Corporation, 1999, Rolling Bearing Catalog WL 41 520/2 KA
  13. Lee, Y. K., Choi, S. K., Yoon, K. C. and Lee, Y. S., 2003, 'NRRO Analysis of 3.5inch HDD Spindle Ball Bearings utilizing the Measured Geometric Imperfection,' Proceedings of the KSNVE Annual Spring Conference, pp, 585-591
  14. Lee, Y. K., Choi, S. K., Yoon, K. C. and Lee, Y. S., 2003, 'Analysis of NRRO for Outer Ring Rotation Ball Bearings of 3.5 inch HDD Spindle Motors,' Inter-Noise, N296
  15. Yoon, K. C., 2000, 'Design Methods of Application-based Exclusive Ball Bearings Using Genetic Algorithms,' Ph.D. thesis, Department of Mechanical Design and Product Engineering, Hanyang University
  16. Lee, Y. K., 2003, 'Analysis of NRRO for Outer Ring Rotation Ball Bearings of 3.5 Inch HDD Spindle :Motor,' ME. thesis, Department of Mechanical Design Engineering, Chungnam National University

Cited by

  1. Roller Design of IRB Seismic Isolation Device Using Test Evaluation : Part II. Heat Treatment of Material vol.23, pp.4, 2013, https://doi.org/10.5050/KSNVE.2013.23.4.332