EFFECTS OF DESIGN PARAMETERS ON STATIC EQUIVALENT STRESS OF RADIAL ROLLING BEARINGS

Authors

  • Mehmet Bozca Yildiz Technical University, Mechanical Engineering Faculty, Machine Design Division, 34349 Yildiz, Istanbul, Turkey

DOI:

https://doi.org/10.14311/AP.2021.61.0163

Keywords:

Ball bearing, point contact, roller bearing, line contact, contact pressure, Von Mises stress

Abstract

The aim of this study is to theoretically investigate the effects of design parameters on the static equivalent stress of radial rolling bearings, such as the point contact case for ball bearings and line contact case for roller bearings. The contact pressure, contact area and von Misses stress of bearings are calculated based on geometrical parameters, material parameters and loading parameters by using the developed MATLAB program. To achieve this aim, both the maximum contact pressure pmax and Von Mises effective stress σVM are simulated with respect to design parameters such as varying ball and roller element diameters and varying ball and roller element elasticity modulus. For the point contact case and line contact case, it was concluded that increasing the diameter of ball and roller elements results in reducing the maximum contact pressure pmax Furthermore, increasing the elasticity modulus of the ball and roller elements results in increasing the maximum contact pressure σVM. Furthermore, increasing the elasticity modulus of the ball and roller element results in increasing the maximum contact pressure pmax and Von Mises effective stress σVM because of the decrease of contact area A. The determination of the diameter of the ball and roller elements and the selection of material are crucial and play an effective role during the design process. Therefore, bearing designers and manufacturers should make the bearing geometrical dimensions as large as possible and bearing material as elastic as possible. Furthermore, the stress-based static failure theory can also be used instead of the standard static load carrying capacity calculation. Moreover, Von Mises stress theory is also compatible with the finite element method.

References

F. Sadeghi, B. Jalalahmadi, T. S. Slack, et al. A review of rolling contact fatigue. Journal of tribology 131(4):041403, 2009. doi:10.1115/1.3209132.

R. Potocnik, P. Göncz, J. Flašker, S. Glodež. Fatigue life of double row slewing ball bearing with irregular geometry. Procedia engineering 2(1):1877 – 1886, 2010. doi:10.1016/j.proeng.2010.03.202.

G. E. Morales-Espejel, A. Gabelli, A. J. C. de Vries. A model for rolling bearing life with surface and subsurface survival tribological effects. Tribology Transactions 58(5):894 – 906, 2015. doi:10.1080/10402004.2015.1025932.

F. Kosugi. High-speed angular contact ball bearings new 9 series for machine tool. NTN Technical Review 78, 2010.

M. Bozca. Theoretical investigation of point contact for ball bearings application. In ICMD 2016, 57th International Conference of Machine Design Departments, pp. 195 – 200. Železná Ruda, Czech Republic, 2016.

M. Bozca. Theoretical investigation of line contact for roller bearings application. In ICMD 2016, 57th International Conference of Machine Design Departments, pp. 201 – 206. Železná Ruda, Czech Republic, 2016.

M. Koç, M. Bozca. Finite elements method modelling of rolling bearings. Machines Technologies Materials 13(2):62 – 65, 2019.

M. Yakout, M. G. A. Nassef, S. Backar. Effect of clearances in rolling element bearings on their dynamic performance, quality and operating life. Journal of Mechanical Science and Technology 33(5):2037 – 2042, 2019. doi:10.1007/s12206-019-0406-y.

F. B. Oswald, E. V. Zaretsky, J. V. Poplawski. Effect of internal clearance on load distribution and life of radially loaded ball and roller bearings. Tribology Transactions 55(2):245 – 265, 2012. doi:10.1080/10402004.2011.639050.

M. Yakout, A. Elkhatib, M. G. A. Nassef. Rolling element bearings absolute life prediction using modal analysis. Journal of Mechanical Science and Technology 32(1):91 – 99, 2018. doi:10.1007/s12206-017-1210-1.

M. Belorit, S. Hrcek, L. Smetanka. Mathematical algorithm for calculating an optimal axial preload of rolling bearings with the respect to their life. In IOP Conference Series: Materials Science and Engineering, vol. 393, p. 012055. 2018. doi:10.1088/1757-899X/393/1/012055.

J. Brändlein, P. Eschmann, L. Hasbargena, K. Weigand. Ball and Roller Bearings: Theory, Design and Application. John Wiley & Sons, USA, 2000.

R. L. Norton. Machine design: An integrated approach. Pearson, New Jersey, USA, 4th edn., 2010.

R. C. Juvinall, K. M. Marshek. Fundamentals of Machine Component Design. John Wiley & Sons, 2006.

R. G. Budynas, K. J. Nisbett. Shigley’s Mechanical Engineering Design. McGraw-Hill, New York, USA, 9th edn., 2011.

T. A. Harris, M. N. Kotzalas. Essential Concepts of Bearing Technology. CRC Press, New York, USA, 5th edn., 2007.

H. Nguyen-Schäfer. Computational Design of Rolling Bearings. Springer International Publishing, Ludwigsburg, Germany, 2016.

Downloads

Published

2021-03-01

Issue

Section

Articles