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Articles

Minimum Energy Hypothesis in Quasi-Static Equilibrium Solutions for Angular Contact Ball Bearings

Pages 1051-1066 | Received 26 Nov 2019, Accepted 22 Jun 2020, Published online: 12 Aug 2020

References

  • Jones, A. B. (1959), “Ball Motion and Sliding Friction in Ball Bearings,” Journal of Basic Engineering, 81, pp 1–12. doi:10.1115/1.4008346
  • Jones, A. B. (1960), “A General Theory of Elastically Constrained Ball and Roller Bearings under Arbitrary Load and Speed Conditions,” Journal of Basic Engineering, 82, pp 309–320. doi:10.1115/1.3662587
  • Harris, T. A. (1966), Rolling Bearing Analysis, John Wiley.
  • Rumbarger, J. H., Filetti, E. G., and Gubernick, D. (1973), “Gas Turbine Engine Main Shaft Roller Bearing System Analysis,” Journal of Lubrication Technology, 95, pp 401–416.  doi:10.1115/1.3451843
  • Schlichtig, H. (1968), Boundary Layer Theory, McGraw Hill.
  • Crecelius, W. J. and Pirvics, J. (1976), “Computer Program Operation Manual on SHABERTH: A Computer Program for the Analysis of the Steady-State and Transient Thermal Performance of Shaft Bearing System,” U.S. Air Force Technical Report AFAPL-TR-76-90.
  • Poplawski, J. V. Computer Code COBRA, J. V. Poplawski & Associates: Bethlehem, PA. Available at: http://www.bearingspecialists.com (accessed April 15, 2020).
  • Hamrock, B. J. and Dowson, D. (1981), Ball Bearing Lubrication: The Elastohydrodynamic Lubrication of Elliptical Contacts, John Wiley & Sons.
  • Bair, S. (2019), High Pressure Rheology for Quantitative Elastohydrodynamics, 2nd Ed., Elsevier.
  • Walters, C. T. (1971), “The Dynamics of Ball Bearings,” Journal of Lubrication Technology, 93, pp 1–10. doi:10.1115/1.3451516
  • Gupta, P. K. (1979), “Dynamics of Rolling Element Bearings, Parts I, II, III and IV,” Journal of Lubrication Technology, 101, pp 293–326. doi:10.1115/1.3453357
  • Gupta, P. K. (1984), Advanced Dynamics of Rolling Elements, Springer-Verlag. Related computer code, ADORE, Available at: www.PradeepKGuptaInc.com (accessed April 15, 2020).
  • Gupta, P. K. (2011), “Current Status of and Future Innovations in Rolling Bearing Modeling,” Tribology Transactions, 54, pp 394–403. doi:10.1080/10402004.2010.551805
  • Shevchenko, R. and Bolan, P. (1957), “A Visual Study of Ball Motion in High-Speed Thrust Bearing,” SAE Technical Paper 570244. Accessed at: 10.4271/570244 (accessed April 15, 2020).
  • Hirano, F. (1965), “Motion of a Ball in Angular-Contact Ball Bearing,” ASLE Transactions, 8, pp 425–434. doi:10.1080/05698196508972112
  • Anderson, W. J. (1966), “Rolling Element Bearings,” Advanced Bearing Technology, Bisson, E. E. and Anderson, W. J. (Eds.), ThirdPrinting, pp 159–164, National Aeronautics and Space Administration: Publication NASA SP-38.
  • Kingsbury, E. P. (1968), “Ball Motion in Angular Contact Bearings,” Wear, 11, pp 41–50.
  • Kingsbury, E. P. (1980), “Basic Speed Ratio of an Angular Contact Bearing,” Journal of Lubrication Technology, 102(3), pp 391–394. doi:10.1115/1.3251558
  • Gupta, P. K. (1980), “Discussion of Basic Speed Ratio of an Angular Contact Bearing, by E.P. Kingsbury,” Journal of Lubrication Technology, 102(3), pp 391–394. doi:10.1115/1.3251559
  • Ai, X. and Moyer, C. A. (2001), “Rolling Element Bearings,” Modern Tribology Handbook, Bhushan, B. (Ed.), CRC Press.
  • Gupta, P. K. (2002), “On a Kinematic Hypothesis for Angular Contact Ball Bearings,” ASTM Symposium on Rolling Element Bearings, Orlando, FL, April 22–24.
  • Gupta, P. K., Taketa, J. I., and Price, C. M. (2020), “Thermal Interactions in Rolling Bearings,” Proceedings of the Institution of Mechanical Engineers - Part J: Journal of Engineering Tribology, 234(8), pp 1233–1253.
  • Gupta, P. K. (2020), “AdoreQS: Quasi-Static Equilibrium Solution.” Accessed at: www.PradeepKGuptaInc.com/AdoreQS.html (accessed April 15, 2020).

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