A Reliability Analysis Method for Gear Elastohydrodynamic Lubrication under Stochastic Load

References

• Ouyang, T., Huang, H., Zhang, N., Mo, C., and Chen, N. (2017), “A Model to Predict Tribo-Dynamic Performance of a Spur Gear Pair,” Tribology International, 116, pp 449–459. doi:10.1016/j.triboint.2017.08.005
   Web of Science ®Google Scholar
• Cheng, H. (1990), “Elastohydrodynamics and Failure Prediction,” Lubrication Science, 2, pp 133–156. doi:10.1002/ls.3010020203
   Google Scholar
• Dowson, D., Higginson, G. R., Archard, J., and Crook, A. (1966), Elasto-Hydrodynamic Lubrification: The Fundamentals of Roller and Gear Lubrification, Pergamon Press: Oxford, UK.
   Google Scholar
• Wang, K. and Cheng, H. (1981), “A Numerical Solution to the Dynamic Load, Film Thickness, and Surface Temperatures in Spur Gears, Part I: Analysis,” Journal of Mechanical Design, 103, pp 177–187. doi:10.1115/1.3254859
   Web of Science ®Google Scholar
• Wang, K. and Cheng, H. (1981), “A Numerical Solution to the Dynamic Load, Film Thickness, and Surface Temperatures in Spur Gears, Part II: Results,” Journal of Mechanical Design, 103, pp 188–194. doi:10.1115/1.3254860
   Web of Science ®Google Scholar
• Höhn, B.-R. and Michaelis, K. (2004), “Influence of Oil Temperature on Gear Failures,” Tribology International, 37, pp 103–109. doi:10.1016/S0301-679X(03)00047-1
   Web of Science ®Google Scholar
• Huang, P., Luo, J., and Wen, S. (1999), “Theoretical Study on the Lubrication Failure for the Lubricants with a Limiting Shear Stress,” Tribology International, 32, pp 421–426.
   Web of Science ®Google Scholar
• Ai, X. and Cheng, H. S. (1994), “A Transient EHL Analysis for Line Contacts with Measured Surface Roughness Using Multigrid Technique,” Journal of Tribology, 116, pp 549–556. doi:10.1115/1.2928879
   Web of Science ®Google Scholar
• Cheng, H. S. (1994), “Numerical Simulation of Elastohydrodynamically Lubricated Contacts with Rough Surfaces,” Applied Mechanics Reviews, 47 , pp S221–S227. doi:10.1115/1.3124411
   Google Scholar
• Patir, N. and Cheng, H. (1978), “An Average Flow Model for Determining Effects of Three-Dimensional Roughness on Partial Hydrodynamic Lubrication,” Journal of Lubrication Technology, 100, pp 12–17. doi:10.1115/1.3453103
   Web of Science ®Google Scholar
• Patir, N. and Cheng, H. (1979), “Application of Average Flow Model to Lubrication between Rough Sliding Surfaces,” Journal of Lubrication Technology, 101, pp 220–229. doi:10.1115/1.3453329
   Web of Science ®Google Scholar
• Li, S. and Kahraman, A. (2010), “A Transient Mixed Elastohydrodynamic Lubrication Model for Spur Gear Pairs,” Journal of Tribology, 132, pp 011501. doi:10.1115/1.4000270
   Web of Science ®Google Scholar
• Li, S. and Kahraman, A. (2011), “Influence of Dynamic Behaviour on Elastohydrodynamic Lubrication of Spur Gears,” Proceedings of the Institution of Mechanical Engineers - Part J: Journal of Engineering Tribology, 225, pp 740–753. doi:10.1177/1350650111409517
   Web of Science ®Google Scholar
• Li, S. and Kahraman, A. (2013), “A Tribo-Dynamic Model of a Spur Gear Pair,” Journal of Sound and Vibration, 332, pp 4963–4978. doi:10.1016/j.jsv.2013.04.022
   Web of Science ®Google Scholar
• Li, S. and Kahraman, A. (2014), “A Micro-Pitting Model for Spur Gear Contacts,” International Journal of Fatigue, 59, pp 224–233. doi:10.1016/j.ijfatigue.2013.08.015
   Web of Science ®Google Scholar
• Yang, J. (2013), “Vibration Analysis on Multi-Mesh Gear-Trains under Combined Deterministic and Random Excitations,” Mechanism & Machine Theory, 59, pp 20–33.
   Web of Science ®Google Scholar
• Yang, J. and Yang, P. (2013), “Random Vibration Analysis of Planetary Gear Trains,” Journal of Vibration and Acoustics, 135, pp 021005. doi:10.1115/1.4023053
   Web of Science ®Google Scholar
• Mo, E. and Naess, A. (2009), “Nonsmooth Dynamics by Path Integration: An Example of Stochastic and Chaotic Response of a Meshing Gear Pair,” Journal of Computational and Nonlinear Dynamics, 4, pp 034501. doi:10.1115/1.3124780
   Web of Science ®Google Scholar
• Naess, A., Kolnes, F., and Mo, E. (2007), “Stochastic Spur Gear Dynamics by Numerical Path Integration,” Journal of Sound and Vibration, 302, pp 936–950. doi:10.1016/j.jsv.2006.12.017
   Web of Science ®Google Scholar
• Wen, Y., Yang, J., and Wang, S. (2014), “Random Dynamics of a Nonlinear Spur Gear Pair in Probabilistic Domain,” Journal of Sound and Vibration, 333, pp 5030–5041. doi:10.1016/j.jsv.2014.05.008
   Web of Science ®Google Scholar
• Lu, J., Liu, M., Chen, L., and Han, Z. (2009), “Nonlinear Dynamics Behavior of Gear System with Stochastic Parameters,” Zhongguo Jixie Gongcheng/China Mechanical Engineering, 20, pp 330–333.
   Google Scholar
• Hu, Y., Liu, S.-j., Ding, S., and Liao, Y.-s. (2015), “Application of Response Surface Method for Contact Fatigue Reliability Analysis of Spur Gear with Consideration of EHL,” Journal of Central South University, 22, pp 2549–2556. doi:10.1007/s11771-015-2784-3
   Web of Science ®Google Scholar
• Hu, Y., Liu, S.-j., Chang, J.-h., and Zhang, J.-g. (2015), “An Intelligent Method for Contact Fatigue Reliability Analysis of Spur Gear under EHL,” Journal of Central South University, 22, pp 3389–3396. doi:10.1007/s11771-015-2879-x
   Web of Science ®Google Scholar
• Alemayehu, F. M. and Ekwaro-Osire, S. (2013), “Uncertainty Considerations in the Dynamic Loading and Failure of Spur Gear Pairs 1,” Journal of Mechanical Design, 135, pp 084501. doi:10.1115/1.4023870
   Web of Science ®Google Scholar
• Zhou, D., Zhang, X., and Zhang, Y. (2016), “Dynamic Reliability Analysis for Planetary Gear System in Shearer Mechanisms,” Mechanism & Machine Theory, 105, pp 244–259. doi:10.1016/j.mechmachtheory.2016.07.007
   Web of Science ®Google Scholar
• Blankenship, G. W. and Kahraman, A. (1995), “Steady State Forced Response of a Mechanical Oscillator with Combined Parametric Excitation and Clearance Type Non-Linearity,” Journal of Sound & Vibration, 185, pp 743–765. doi:10.1006/jsvi.1995.0416
   Web of Science ®Google Scholar
• Xue, J.-h., Li, W., and Qin, C. (2014), “The Scuffing Load Capacity of Involute Spur Gear Systems Based on Dynamic Loads and Transient Thermal Elastohydrodynamic Lubrication,” Tribology International, 79, pp 74–83. doi:10.1016/j.triboint.2014.05.024
   Web of Science ®Google Scholar
• Pei, J., Han, X., and Tao, Y. (2020), “An Improved Stiffness Model for Line Contact Elastohydrodynamic Lubrication and Its Application in Gear Pairs,” Industrial Lubrication and Tribology, 72 (5), pp 703–708. doi:10.1108/ILT-11-2019-0465
   Web of Science ®Google Scholar
• Qiang, W. Y., Xi, H. B., Wei, T. J., and Ran, Y. P. (2005), “Transient Thermo-Elastic Hydrodynamic Lubrication Analysis of an Involute Spur Gear,” Chinese Journal of Mechanical Engineering, 37, pp 773–782.
   Google Scholar
• Roelands, C. J. A. (1966), Correlational Aspects of the Viscosity–Temperature–Pressure Relationship of Lubricating Oils, Doctoral Thesis, Technische Hogeschool te Delft.
   Google Scholar
• Dowson, D. and Higginson, G. R. (1977), Elastohydrodynamic Lubrication, 1st ed., Pergamon Press: Oxford, UK.
   Google Scholar
• Strutt, J. E., Allsopp, K., Irving, P. E., and Trille, C. (1999), “Reliability Prediction of Helicopter Transmission Systems Using Stress–Strength Interference with Underlying Damage Accumulation,” Quality & Reliability Engineering International, 15, pp 69–78.
   Web of Science ®Google Scholar
• Zhang, M. (2009), Structural Reliability Analysis—Method and Procedures, Science Press: Beijing.
   Google Scholar
• Lu, C. (2008), “Study on Prediction of Surface Quality in Machining Process,” Journal of Materials Processing Technology, 205, pp 439–450. doi:10.1016/j.jmatprotec.2007.11.270
   Web of Science ®Google Scholar
• Rosenblatt, M. (1956), “A Central Limit Theorem and a Strong Mixing Condition,” Proceedings of the National Academy of Sciences of the United States of America, 42, pp 43–47.  doi:10.1073/pnas.42.1.43
   PubMed Web of Science ®Google Scholar
• Johnson, K. L., Greenwood, J. A., and Poon, S. Y. (1972), “A Simple Theory of Asperity Contact in Elastohydro-Dynamic Lubrication,” Wear, 19, pp 91–108.
   Web of Science ®Google Scholar
• Jeon, H.-G., Cho, D.-H., Yoo, J.-H., and Lee, Y.-Z. (2018), “Wear Prediction of Earth-Moving Machinery Joint Bearing via Correlation between Wear Coefficient and Film Parameter: Experimental Study,” Tribology Transactions, 61, pp 808–815. doi:10.1080/10402004.2017.1418036
   Web of Science ®Google Scholar
• Khonsari, M. M. and Booser, E. R. (2017), Applied Tribology: Bearing Design and Lubrication, John Wiley & Sons: New York, USA.
   Google Scholar
• Yuksel, C. and Kahraman, A. (2004), “Dynamic Tooth Loads of Planetary Gear Sets Having Tooth Profile Wear,” Mechanism and Machine Theory, 39, pp 695–715. doi:10.1016/j.mechmachtheory.2004.03.001
   Web of Science ®Google Scholar
• Townsend, D P. (1985), “Surface Fatigue Life and Failure Characteristics of EX-53, CBS 1000M, and AISI 9310 Gear Materials,” NASA Technical Paper 2513.
   Google Scholar
• Townsend D. P. and Shimski, J. (1994), “Evaluation of the EHL Film Thickness and Extreme Pressure Additives on Gear Surface Fatigue Life,” NASA Technical Memorandum 106663.
   Google Scholar
• Townsend, D. P., Turza A. and Chaplin M. (1995), “ The Surface Fatigue Life of Contour Induction Hardened AISI 1552 Gears,” NASA Technical Memorandum 107017.
   Google Scholar
• Blake, J. W. and Cheng, H. S. (1991), “A Surface Pitting Life Model for Spur Gears: Part I—Life Prediction,” Journal of Tribology, 113, pp 712–718.
   Web of Science ®Google Scholar
• Zhou, C. and Xiao, Z. (2018), “Stiffness and Damping Models for the Oil Film in Line Contact Elastohydrodynamic Lubrication and Applications in the Gear Drive,” Applied Mathematical Modelling, 61, pp 634–649. doi:10.1016/j.apm.2018.05.012
   Web of Science ®Google Scholar