Abstract
The roller profile plays a key role in the overall performance of roller bearings. In traditional profile design for roller bearings, the roller profile was often analyzed in terms of the bearing performance, particularly the fatigue life. However, the bearing dynamic stiffness and fatigue life were seldom considered simultaneously in the design of Tapered roller bearings (TRBs). Among the available roller profiles, the partially crowned roller profile has been acknowledged as one of the best from the viewpoint of the bearing fatigue life and stiffness characteristics. This paper presented a design optimization for the partially crowned roller profile to improve the performance of TRBs. Two profile parameters of rollers employed for TRBs including the central flat length and crown radius were investigated. The optimal design parameters for the roller profile were obtained in consideration of both bearing fatigue life and stiffness. The proposed design approach was useful and applicable for further geometrical optimization, manufacturing, and engineering application of rolling bearings.
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References
T. A. Harris, Rolling Bearing Analysis, Forth Ed., John Wiley & Sons, New York, USA (2001).
G. Chen and J. Wen, Effects of size and raceway hardness on the fatigue life of large rolling bearing, Journal of Mechanical Science and Technology, 29 (9) (2015) 3873–3883.
V. C. Tong and S. W. Hong, The effect of angular misalignment on the running torques of tapered roller bearings, Tribology International, 95 (2016) 76–95.
H. Fujiwara, T. Kobayashi, T. Kawase and K. Yamauchi, Optimized logarithmic roller crowning design on cylindrical roller bearings and its experimental demonstration, Tribology Transactions, 53 (6) (2010) 909–916.
S. Natsumeda, Application of multi-level multi-integration to contact problems, Part 1: Non-Hertzian contact in rolling bearings, Proc. of Institutional Mechanical Engineers, Part J: Journal of Engineering Tribology, 213 (1) (1999) 63–80.
P. M. Johns and R. Gohar, Roller bearings under radial and eccentric loads, Tribology International, 14 (3) (1981) 131–136.
H. Rahnejat and R. Gohar, Design of profiled taper roller bearings, Tribology International, 12 (6) (1979) 269–275.
M. Heydari and R. Gohar, The influence of axial profile on pressure distribution in radially loaded rollers, Journal of Mechanical Engineering Science, 21 (6) (1979) 381–388.
M. Hoeprich, Numerical procedure for designing rolling element contact geometry as a function of load cycle, SAE Technical Paper 850764 (1985).
T. A. Harris, The effect of misalignment on the fatigue life of cylindrical roller bearings having crowned rolling members, Journal of Tribology, 91 (2) (1969) 294–300.
I. Sugiura, S. Ito, N. Tsushima and H. Muro, Investigation of optimum crowning in a line contact cylinder-to-cylinder rolling contact fatigue test, Rolling Contact Fatigue Testing of Bearing Steels, ASTMSTP 771-ASTM (1982) 136–149.
J. V. Poplawski, S. M. Peters and E. V. Zaretsky, Effect of roller profile on cylindrical roller bearing life prediction-Part II: Comparison of roller profiles, Tribology Transactions, 44 (3) (2001) 417–427.
F. B. Oswald, E. V. Zaretsky and J. V. Poplawski, Effect of roller geometry on roller bearing load-life relation, Tribology Transactions, 57 (5) (2014) 928–938.
G. Lundberg and A. Palmgren, Dynamic capacity of roller bearings, Handlingar Proceedings, No. 210, The Royal Swedish Academy of Engineering Sciences, Stockholm, Sweden (1952).
L. Kania, Modeling of rollers in calculation of slewing bearing with the use of finite elements, Mechanism and Machine Theory, 41 (11) (2006) 1359–1376.
B. R. Rao and R. Tiwari, Optimum design of rolling element bearings using genetic algorithms, Mechanism and Machine Theory, 42 (2) (2007) 233–250.
R. Tiwari, K. K. Sunil and R. S. Reddy, An optimal design methodology of tapered roller bearings using genetic algorithms, International Journal of Computational Methods in Engineering Science and Mechanics, 13 (2) (2012) 108–127.
H. Zhang, Dynamic analysis of the machine drive system, Journal of Mechanical Science and Technology, 29 (12) (2015) 5205–5215.
P. G. Kulkarni and A. D. Sahasrabudhe, A dynamic model of ball bearing for simulating localized defects on outer race using cubic hermite spline, Journal of Mechanical Science and Technology, 28 (9) (2014) 3433–3442.
Y. K. Hwang and C. M. Lee, Development of a simple determination method of variable preloads for high speed spindles in machine tools, International Journal of Precision Engineering and Manufacturing, 16 (1) (2015) 127–134.
SKF Group, http://www.skf.com/group/products/bearingsunits-housings/ball-bearings/principles/speeds/vibrationgeneration/index.html (accessed May 25, 2016).
V. C. Tong and S. W. Hong, Effects of roller profile on the stiffness of tapered roller bearings, Journal of Automation and Control Engineering, 3 (2) (2015) 151–156.
V. C. Tong and S. W. Hong, Characteristics of tapered Roller bearings in relation to roller profiles, Journal of Mechanical Science and Technology, 29 (7) (2015) 2913–2919.
V. C. Tong and S. W. Hong, Fatigue life of tapered roller bearing subject to angular misalignment, Proc. of Institutional Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 230 (2) (2015) 147–158.
ISO 355:2007 Rolling bearings-tapered roller bearingsboundary dimensions and series designations, International Organization for Standardization, Geneva, Switzerland (2007).
J. M. de Mul, J. M. Vree and D. A. Maas, Equilibrium and associated load distribution in ball and roller bearings loaded in five degrees of freedom while neglecting friction-Part II: Application to roller bearings and experimental verification, Journal of Tribology, 111 (1) (1989) 149–155.
V. C. Tong and S. W. Hong, Characteristics of tapered roller bearing subjected to combined radial and moment loads, International Journal of Precision Engineering and Manufacturing Green Technology, 1 (4) (2014) 323–328.
V. C. Tong and S. W. Hong, Characteristics of tapered roller bearing with geometric error, International Journal of Precision Engineering and Manufacturing, 16 (13) (2015) 2709–2716.
J. M. Hartnett, The analysis of contact stresses in rolling element bearings, Journal of Tribology, 101 (1) (1979) 105–109.
ISO 281:2007, Rolling bearings-dynamic load ratings and rating Life, standard no. 2, International Organization for Standardization, Geneva, Switzerland (2007).
DD ISO/TS 16281:2008, Rolling bearings-methods for calculating the modified reference rating life for universally loaded bearings, International Organization for Standardization, Geneva, Switzerland (2008).
S. F. P. Saramago and V. J. Steffen, Optimization of the trajectory planning of robot manipulators taking into account the dynamics of the system, Mechanism and Machine Theory, 33 (7) (1998) 883–894.
R. T. Marler and J. S. Arora, Transformation methods for multiobjective optimization, Engineering Optimization, 37 (6) (2005) 551–569.
M. Bonamente, Statistics and Analysis of Scientific Data, First Ed., Springer-Verlag, New York, USA (2013).
S. Kabus, M. R. Hansen and O. Ø. Mouritsen, A new quasi-static multi-degree of freedom tapered roller bearing model to accurately consider non-Hertzian contact pressures in time-domain simulations, Proc. of Institutional Mechanical Engineers, Part K: Journal of Multi-body Dynamics, 228 (2) (2014) 111–125.
H. Fujiwara and K. Yamauchi, Tolerance design of logarithmic roller profiles in cylindrical roller bearings, Journal of Advanced Mechanical Design, Systems, and Manufacturing, 4 (4) (2010) 728–738.
PD ISO/TR 1281-1:2008, Rolling bearings-explanatory notes on ISO 281, Part 1: Basic dynamic load rating and basic rating life, International Organization for Standardization, Geneva, Switzerland (2008).
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Van-Canh Tong received his M.S. degree in Mechanical Engineering from Hanoi University of Science and Technology, Vietnam in 2011. He is currently a Ph.D. candidate of Kumoh National Institute of Technology, Korea.
Seong-Wook Hong received his M.S. and Ph.D. degrees in Mechanical Engineering from KAIST, Korea, in 1985 and 1989, respectively. Currently, he is a Professor in the Department of Mechanical System Engineering of Kumoh National Institute of Technology, Korea. His current research interests include command shaping for positioning systems, spindle and bearings dynamics, vibration control, and structural vibration analysis for mechanical systems.
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Tong, VC., Hong, SW. Optimization of partially crowned roller profiles for tapered roller bearings. J Mech Sci Technol 31, 641–650 (2017). https://doi.org/10.1007/s12206-017-0117-1
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DOI: https://doi.org/10.1007/s12206-017-0117-1