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Research Article | Open Access

Stochastic uncertain lubrication in gear transmission subjected to tribodynamic loading

Zhou CHEN1,2( )Haiming SHA1,2Sheng LI3Zheming TONG1,2Shuiguang TONG1,2
State Key Laboratory of Fluid Power and Mechatronic Systems, Zhejiang University, Hangzhou 310027, China
School of Mechanical Engineering, Zhejiang University, Hangzhou 310027, China
Wright State University, 3640 Colonel Glenn Highway, Dayton, OH 45435, USA
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Abstract

A stochastic uncertain tribodynamic model is established for a spur gear pair for the first time. The stochastic uncertainty of pinion rotation speed propagated to lubrication performance is investigated. The probability density function of the minimum lubricant film thickness hmin evolves over time periodically at interval of an engagement process. Correspondence between abrupt increase in meshing force and amplification of hmin uncertainty is found. Robust and reliable lubrication performance can be achieved by suppressing the hmin uncertainty and decreasing the lubrication failure probability. This can be done by increasing lubricant viscosity, and decreasing input torque and uncertainty level of input rotation speed. This work lays a solid foundation for robust and reliability based optimization for tribodynamic gear system.

References

[1]
Litvin F L, Gonzalez-Perez I, Fuentes A, Hayasaka K. Design and investigation of gear drives with non-circular gears applied for speed variation and generation of functions. Comput Meth Appl Mech Eng 197(45–48): 3783–3802 (2008)
[2]
Hotait M A, Kahraman A. Experiments on the relationship between the dynamic transmission error and the dynamic stress factor of spur gear pairs. Mech Mach Theory 70: 116–128 (2013)
[3]
Garambois P, Perret-Liaudet J, Rigaud E. NVH robust optimization of gear macro and microgeometries using an efficient tooth contact model. Mech Mach Theory 117: 78–95 (2017)
[4]
Benedetti M. Influence of shot peening on bending tooth fatigue limit of case hardened gears. Int J Fatigue 24(11): 1127–1136 (2002)
[5]
Greco A, Sheng S, Keller J, Erdemir A. Material wear and fatigue in wind turbine Systems. Wear 302(1–2): 1583–1591 (2013)
[6]
Zhang J W, Li W, Wang H Q, Song Q P, Lu L T, Wang W J, Liu Z W. A comparison of the effects of traditional shot peening and micro-shot peening on the scuffing resistance of carburized and quenched gear steel. Wear 368–369: 253–257 (2016)
[7]
Wang W, Liu H J, Zhu C C, Du X S, Tang J Y. Effect of the residual stress on contact fatigue of a wind turbine carburized gear with multiaxial fatigue criteria. Int J Mech Sci 151: 263–273 (2019)
[8]
Wang W, Liu H J, Zhu C C, Wei P T, Tang J Y. Effects of microstructure on rolling contact fatigue of a wind turbine gear based on crystal plasticity modeling. Int J Fatigue 120: 73–86 (2019)
[9]
Shi X J, Sun W, Lu X Q, Ma X, Zhu D, Zhao B, He T. Three-dimensional mixed lubrication analysis of spur gears with machined roughness. Tribol Int 140: 105864 (2019)
[10]
Pu W, Wang J X, Zhu D. Friction and flash temperature prediction of mixed lubrication in elliptical contacts with arbitrary velocity vector. Tribol Int 99: 38–46 (2016)
[11]
Li S, Kahraman A. A scuffing model for spur gear contacts. Mech Mach Theory 156: 104161 (2021)
[12]
Wei J, Zhang A Q, Gao P. A study of spur gear pitting under EHL conditions: Theoretical analysis and experiments. Tribol Int 94: 146–154 (2016)
[13]
Li S, Kahraman A. A tribo-dynamic model of a spur gear pair. J Sound Vib 332(20): 4963–4978 (2013)
[14]
Ouyang T C, Huang H Z, Zhang N, Mo C L, Chen N. A model to predict tribo-dynamic performance of a spur gear pair. Tribol Int 116: 449–459 (2017)
[15]
Cao W, Pu W, Wang J X. Tribo-dynamic model and fatigue life analysis of spiral bevel gears. Eur J Mech A 74: 124–138 (2019)
[16]
Xing M C, Zhou C J, Li Y Z, Zheng M. Wear prediction considering dynamic load for spur gear in mixed elastohydrodynamic lubrication. Proc Inst Mech Eng Part J J Eng Tribol 237(3): 645–654 (2023)
[17]
Wang J G, He G Y, Zhang J, Zhao Y X, Yao Y. Nonlinear dynamics analysis of the spur gear system for railway locomotive. Mech Syst Signal Process 85: 41–55 (2017)
[18]
Chen Z, Jiang Y B, Li S, Tong Z M, Tong S G, Tang N. Effect of lubricant viscosity on dynamics of high-precision gear considering lubricant-induced backlash reduction. Tribol Int 168: 107447 (2022)
[19]
Chen Z, Jiang Y B, Li S, Tong Z M, Tong S G, Tang N. Uncertainty propagation of correlated lubricant properties in gear tribodynamic system. Tribol Int 179: 107812 (2023)
[20]
Jiang Y B, Chen Z, Tong S G, Li S, Tong Z M. Gear tribodynamic modeling and analysis considering tooth profile modification. Tribol Int 178: 108023 (2023)
[21]
Lu J W, Chen H, Zeng F L, Vakakis A F, Bergman L A. Influence of system parameters on dynamic behavior of gear pair with stochastic backlash. Meccanica 49(2): 429–440 (2014)
[22]
Zhou D, Chen Z, Pan E S, Zhang Y M. Dynamic statistical responses of gear drive based on improved stochastic iteration method. Appl Math Model 108: 46–65 (2022)
[23]
Guerine A, El Hami A, Walha L, Fakhfakh T, Haddar M. A perturbation approach for the dynamic analysis of one stage gear system with uncertain nnparameters. Mech Mach Theory 92: 113–126 (2015)
[24]
Guerine A, El Hami A, Walha L, Fakhfakh T, Haddar M. Dynamic response of a Spur gear system with uncertain friction coefficient. Adv Eng Softw 120: 45–54 (2018)
[25]
Pei J X, Han X, Tao Y R, Feng S Z. Lubrication reliability analysis of spur gear systems based on random dynamics. Tribol Int 153: 106606 (2021)
[26]
Liu S B, Wang Q, Liu G. A versatile method of discrete convolution and FFT (DC-FFT) for contact analyses. Wear 243(1–2): 101–111 (2000)
[27]
Höglund E. Influence of lubricant properties on elastohydrodynamic lubrication. Wear 232(2): 176–184 (1999)
[28]
Dowson D, Higginson G R. Elasto-hydrodynamic Lubrication. Elsevier Ltd., 1977.
[29]
Martini A, Zhu D, Wang Q. Friction reduction in mixed lubrication. Tribol Lett 28(2): 139–147 (2007)
[30]
Xiu D B, Karniadakis G E. The Wiener: Askey polynomial chaos for stochastic differential equations. SIAM J Sci Comput 24(2): 619–644 (2002)
[31]
Xiu D B, Karniadakis G E. Modeling uncertainty in flow simulations via generalized polynomial chaos. J Comput Phys 187(1): 137–167 (2003)
[32]
Xiong F F, Chen S S, Xiong Y. Dynamic system uncertainty propagation using polynomial chaos. Chin J Aeronaut 27(5): 1156–1170 (2014)
[33]
Wu J L, Luo Z, Zhang N, Zhang Y Q. A new uncertain analysis method and its application in vehicle dynamics. Mech Syst Signal Process 50–51: 659–675 (2015)
[34]
Isukapalli S S. Uncertainty analysis of transport-transformation models. The State University of New Jersey, 1999.
[35]
Ai X L. Numerical analyses of elastohydrodynamically lubricated line and point contacts with rough surfaces by using semi-system and multigird methods. Northwestern University, 1993.
[36]
Vengudusamy B, Enekes C, Spallek R. EHD friction properties of ISO VG 320 gear oils with smooth and rough surfaces. Friction 8(1): 164–181 (2020)
Friction
Pages 1741-1756
Cite this article:
CHEN Z, SHA H, LI S, et al. Stochastic uncertain lubrication in gear transmission subjected to tribodynamic loading. Friction, 2024, 12(8): 1741-1756. https://doi.org/10.1007/s40544-023-0843-6

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Received: 18 May 2023
Revised: 07 September 2023
Accepted: 05 November 2023
Published: 03 April 2024
© The author(s) 2023.

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