Skip to main content

E2ZB Approximation of the Cylindrical Roller Optimal Profile to Increase the Performance of Rolling Bearings

  • Conference paper
  • First Online:
The 17th International Conference Interdisciplinarity in Engineering (Inter-ENG 2023)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 926))

Included in the following conference series:

Abstract

Finding an optimal profile for rollers is essential when designing rolling bearings. This optimal profile should result in reduced stress levels and increased longevity of the bearing under various loading conditions. Unfortunately, finding a universally optimal profile for a specific cylindrical roller, regardless of the actual radial forces applied to it, proves to be unfeasible. This paper presents a novel approach for determining the optimal approximation of the profile of cylindrical rollers in rolling bearings aiming to lower the manufacturing costs and to address the edge loading effect. The optimal approximation of the profile is defined as a minimization problem and resolved using a cultural algorithm. The validation procedure consists in comparing the obtained approximation of the optimal profile with the optimal profile considering the maximum contact pressure between the most loaded roller and the inner ring raceway, and the maximum von Misses stress in the inner ring beneath the contact surface between the most loaded roller and the inner ring raceway and the depth at this occurs. The results show great potential and future research is highly encouraged.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

References

  1. Johnson, K.L.: Contact Mechanics. Cambridge. Cambridge University Press (1985).https://doi.org/10.1017/CBO9781139171731

  2. Harris, T.A., Kotzalas, M.N.: Advanced Concepts of Bearing Technology,: Rolling Bearing Analysis, Fifth Edition, 5th edn. CRC Press, Boca Raton, FL (2006)

    Book  Google Scholar 

  3. Tudose, L., Ursache, C., Tudose, C., Rusu, F.: Optimal 2ZB approximation of optimal profile of rolling bearings cylindrical rollers. In: 5th International Conference on Power Transmission BAPT2016, Balkan Association of Power Transmissions, pp. 99–113 (2016)

    Google Scholar 

  4. Tudose, L., Tudose, C., Ursache, C.: Optimal profiles of cylindrical rollers of rolling bearings. In: Presented at the 8th International Scientific Conference on Research and Development of Mechanical Elements and Systems IRMES, Trebinje, Bosnia and Herzegovina, pp. 47–52 (2017)

    Google Scholar 

  5. Tudose, L., Tudose, C.: Roller profiling to increase rolling bearing performances. IOP Conf. Ser. Mater. Sci. Eng. 393(1), 012002 (2018). https://doi.org/10.1088/1757-899X/393/1/012002

    Article  Google Scholar 

  6. de Mul, J.M., Kalker, J.J., Fredriksson, B.: The contact between arbitrarily curved bodies of finite dimensions. J. Tribol. 108(1), 140–148 (1986). https://doi.org/10.1115/1.3261134

    Article  Google Scholar 

  7. Poplawski, J.V., Peters, S.M., Zaretsky, E.V.: Effect of roller profile on cylindrical roller bearing life prediction—part I: comparison of bearing life theories. Tribol. Trans. 44(3), 339–350 (2001). https://doi.org/10.1080/10402000108982466

    Article  Google Scholar 

  8. Poplawski, J.V., Peters, S.M., Zaretsky, E.V.: Effect of roller profile on cylindrical roller bearing life prediction—part II comparison of roller profiles. Tribol. Trans. 44(3), 417–427 (2001). https://doi.org/10.1080/10402000108982476

    Article  Google Scholar 

  9. Oosterlee, C.W., Vollebregt, E.A.H., Zhao, J.: Fast solvers for concentrated elastic contact problems (2015)

    Google Scholar 

  10. ISO/TS 16281:2008(en), Rolling bearings — Methods for calculating the modified ref-erence rating life for universally loaded bearings

    Google Scholar 

  11. Reynolds, R.G.: An introduction to cultural algorithms. In: Proceedings of the 3rd Annual Conference on Evolutionary Programming, World Scientific Publishing, World Scientific, pp. 131–139 (1994)

    Google Scholar 

  12. Reynolds, R.G.: Cultural algorithms: theory and applications. In: New Ideas in Optimization, pp. 367–378 (1999)

    Google Scholar 

  13. Reynolds, R.G.: Cultural algorithm framework. In: Culture on the Edge of Chaos. SCS, pp. 13–25. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-74171-0_2

    Chapter  Google Scholar 

  14. Jalili, S.: Cultural Algorithms: Recent Advances. in Engineering Optimization: Methods and Applications. Singapore: Springer Nature (2022). https://doi.org/10.1007/978-981-19-4633-2

  15. Maheri, A., Jalili, S., Hosseinzadeh, Y., Khani, R., Miryahyavi, M.: A comprehensive survey on cultural algorithms. Swarm Evol. Comput. 62, 100846 (2021). https://doi.org/10.1016/j.swevo.2021.100846.14

    Article  Google Scholar 

  16. Reynolds, R.G.: System design using cultural algorithms. In: Cultural Algorithms, John Wiley & Sons, Ltd, pp. 1–10 (2020). https://doi.org/10.1002/9781119403111.ch1

  17. Jin, X., Reynolds, R.G.: Using knowledge-based evolutionary computation to solve nonlinear constraint optimization problems: a cultural algorithm approach. In: Proceedings of the 1999 Congress on Evolutionary Computation-CEC99 (Cat. No. 99TH8406), vol. 3, pp. 1672–1678 (1999). https://doi.org/10.1109/CEC.1999.785475

  18. Reynolds, R.G., Peng, B.: Cultural algorithms: modeling of how cultures learn to solve problems. In: 16th IEEE International Conference on Tools with Artificial Intelligence, pp. 166–172 (2004). https://doi.org/10.1109/ICTAI.2004.45

Download references

Acknowledgments

The authors would like to thank the RKB Group, the Swiss bearing manufacturer, for the permission to publish these results and the RKB staff for their great interest and support during the development of this project.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Constantin Ursache .

Editor information

Editors and Affiliations

Annex

Annex

Table A I. Pressure distribution and maximum von Misses stresses for case 1: RICw = 0, ψ = 0
Table A II. Pressure distribution and maximum von Misses stresses for case 2:RICw = 0.100 mm, ψ = 0
Table A III. Pressure distribution and maximum von Misses stresses for case 3:RICw = 0.100 mm, ψ = 1’ 30”

Rights and permissions

Reprints and permissions

Copyright information

© 2024 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Ursache, C., Şerdean, F.M., Tudose, L. (2024). E2ZB Approximation of the Cylindrical Roller Optimal Profile to Increase the Performance of Rolling Bearings. In: Moldovan, L., Gligor, A. (eds) The 17th International Conference Interdisciplinarity in Engineering. Inter-ENG 2023. Lecture Notes in Networks and Systems, vol 926. Springer, Cham. https://doi.org/10.1007/978-3-031-54664-8_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-031-54664-8_3

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-54663-1

  • Online ISBN: 978-3-031-54664-8

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics