Devising an engineering procedure for calculating the ductility of a roller bearing under a no-central radial load

Authors

DOI:

https://doi.org/10.15587/1729-4061.2019.168145

Keywords:

engineering calculation procedure, roller bearings ductility, contact deformations, no-central radial load, misalignment of rings.

Abstract

Known theoretical approaches to calculating the ductility of rolling bearings include rather complicated analytical dependences and require cumbersome computation. That makes it a relevant task to undertake a research aimed at the development of an engineering approach to the calculation of radial ductility of bearings.

The current study proposes an engineering method for determining radial ductility using cylindrical roller bearings as an example. It accounts for the radial gap, contact deformation of parts, the deformations of bending and misalignment of rings for cases when a bearing is exposed to the action of a central radial load and a radial load with eccentricity. The adopted simplified linear calculation model for determining the angle of rings misalignment is valid for small angles when contact is maintained over the entire length of the roller. Computation of radial ductility of roller bearings under a no-central radial load is based on determining the sum of variable elastic deformations in a contact between rings and the most loaded roller. The values for elastic deformations are determined from known formulae for solving the contact problem in elasticity theory taking into consideration a mismatch between the geometric centers of outer and inner rings.

Adequacy of the proposed engineering procedure has been confirmed by results from calculating the specific ductility of the cylindrical roller bearing 2211 with a central radial load. By using the proposed methodology, we have derived values for specific ductility that are 3...4 % lower compared to similar results obtained from a known procedure. By using the cylindrical roller bearing 42726 as an example, we have investigated structural parameters considering a no-central radial load. A decrease in the bearing 42726 ductility with an increase in the number of rollers and rigidity of the outer ring has been shown, as well as with a decrease in the eccentricity of a radial load.

The ductility of rolling bearings must be known when constructing dynamic models of certain machines: machine tool spindles, shaft-gears at large-size reducers, crane structures. Therefore, the proposed engineering procedure for determining the ductility of roller bearings at small angles of rings misalignment could be applied in the practice of designing machines and mechanisms for which the elastic characteristics of all their components are important.

Author Biographies

Anatoly Gaydamaka, National Technical University “Kharkiv Polytechnic Institute” Kyrpychova str., 2, Kharkiv, Ukraine, 61002

Doctor of Technical Sciences, Professor, Head of Department

Department of Machine Parts and Mechatronic Systems

 

Gennady Kulik, National Technical University “Kharkiv Polytechnic Institute” Kyrpychova str., 2, Kharkiv, Ukraine, 61002

PhD, Associate Professor

Department of Machine Parts and Mechatronic Systems

Viktor Frantsuzov, National Technical University “Kharkiv Polytechnic Institute” Kyrpychova str., 2, Kharkiv, Ukraine, 61002

Senior Lecturer

Department of Machine Parts and Mechatronic Systems

Iryna Hrechka, National Technical University “Kharkiv Polytechnic Institute” Kyrpychova str., 2, Kharkiv, Ukraine, 61002

PhD, Associate Professor

Department of Theory and Computer Aided Design of Mechanisms and Machines

Serhii Khovanskyi, Sumy State University Rymskoho-Korsakova str., 2, Sumy, Ukraine, 40007

PhD, Associate Professor

Department of Applied Fluid Aeromechanics

Andrii Rogovyi, Kharkiv National Automobile and Highway University Yaroslava Mudroho str., 25, Kharkiv, Ukraine, 61002

Doctor of Technical Sciences, Associate Professor

Department of Theoretical Mechanics and Hydraulics

Maksym Svynarenko, Kharkiv National University of Civil Engineering and Architecture Sumska str., 40, Kharkiv, Ukraine, 61002

PhD, Associate Professor

Department of Heat and Gas Supply, Ventilation and Use of Thermal Secondary Energy Resources

Maria Maksimova, National University of Civil Defence of Ukraine Chernyshevska str., 94, Kharkiv, Ukraine, 61023

PhD, Associate Professor

Department of Fire Prevention in Settlements

Nаdiia Paraniak, Lviv Polytechnic National University S. Bandery str., 12, Lviv, Ukraine, 79013

PhD, Assistant

Department of Civil Safety

References

  1. Guay, P., Frikha, A. (2015). Ball Bearing Stiffness. A New Approach Offering Analytical Expressions. Proc. “16th European Space Mechanisms and Tribology Symposium 2015”. Bilbao.
  2. Chernyshenko, A. V., Pavlov, A. A. (2009). K voprosu opredeleniya zhestkosti podshipnikov kacheniya v buksah kranovyh koles. Eastern-European Journal of Enterprise Technologies, 1 (5 (37)), 47–50. Available at: http://journals.uran.ua/eejet/article/view/3141/2944
  3. Еrem'yants, V. (2011). Vliyanie tipa podshipnika kacheniya na privedennyy koeffitsient ego zhestkosti. Vestnik KRSU, 11 (11), 94–100.
  4. Nahatakyan, F. G. (2015). Podatlivost' rolikovyh podshipnikov. Vestnik mashinostroeniya, 2, 19–21.
  5. Tong, V., Hong, S. (2016). Study on Stiffness of Cylindrical Roller Bearings Under Combined Radial and Moment Loads. Proceedings of 39th IASTEM International Conference. Hanoi, 29–32.
  6. Fujiwara, H., Kawase, T., Kobayashi, T., Yamauchi, K. (2009). Optimized Logarithmic Roller Crowning Design of Cylindrical Roller Bearings and Its Experimental Demonstration. ASME/STLE 2009 International Joint Tribology Conference. doi: https://doi.org/10.1115/ijtc2009-15032
  7. Chen, G., Wang, H. (2016). Contact stress and radial stiffness of a cylindrical roller bearing with corrected roller generator. Transactions of the Canadian Society for Mechanical Engineering, 40 (5), 725–738. doi: https://doi.org/10.1139/tcsme-2016-0059
  8. Lazarz, B., Petun, G., Bucki, S. (2008). Application of the Finite-Element Method for Determining the Stiffness of Rolling Bearings. Transport problems, 3, 33–40.
  9. Zhang, Y., Sun, G., Lim, T., Xie, L. (2015). A fast and reliable numerical method for analyzing loaded rolling element bearing displacements and stiffness. Journal of Vibroengineering, 17 (2), 620–642.
  10. Larizza, F., Moazen-Ahmadi, A., Howard, C. Q., Grainger, S. (2018). The importance of bearing stiffness and load when estimating the size of a defect in a rolling element bearing. Structural Health Monitoring, 147592171880880. doi: https://doi.org/10.1177/1475921718808805
  11. Ponomarev, S. D. et. al. (1958). Raschety na prochnost' v mashinostroenii. Moscow, 974.
  12. Gaydamaka, A., Klitnoy, V., Muzikin, Y., Tat'kov, V., Hrechka, I. (2018). Construction of a model for the distribution of radial load among the bearing's rolling bodies. Eastern-European Journal of Enterprise Technologies, 6 (7 (96)), 39–44. doi: https://doi.org/10.15587/1729-4061.2018.149964
  13. Perel', L. Ya. (1983). Podshipniki kacheniya: raschet, proektirovanie i obsluzhivanie opor. Мoscow, 543.
  14. Tsyurenko, V. N., Petrov, V. A. (1982). Nadezhnost' rolikovyh podshipnikov v buksah vagonov. Moscow, 96.

Downloads

Published

2019-05-22

How to Cite

Gaydamaka, A., Kulik, G., Frantsuzov, V., Hrechka, I., Khovanskyi, S., Rogovyi, A., Svynarenko, M., Maksimova, M., & Paraniak, N. (2019). Devising an engineering procedure for calculating the ductility of a roller bearing under a no-central radial load. Eastern-European Journal of Enterprise Technologies, 3(7 (99), 6–10. https://doi.org/10.15587/1729-4061.2019.168145

Issue

Section

Applied mechanics