An intelligent method for contact fatigue reliability analysis of spur gear under EHL

Abstract

To complete the contact fatigue reliability analysis of spur gear under elastohydrodynamic lubrication (EHL) efficiently and accurately, an intelligent method is proposed. Oil film pressure is approximated using quadratic polynomial with intercrossing term and then mapped into the Hertz contact zone. Considering the randomness of the EHL, material properties and fatigue strength correction factors, the probabilistic reliability analysis model is established using artificial neural network (ANN). Genetic algorithm (GA) is employed to search the minimum reliability index and the design point by introducing an adjusting factor in penalty function. Reliability sensitivity analysis is completed based on the advanced first order second moment (AFOSM). Numerical example shows that the established probabilistic reliability analysis model could correctly reflect the effect of EHL on contact fatigue of spur gear, and the proposed intelligent method has an excellent global search capability as well as a highly efficient computing performance compared with the traditional Monte Carlo method (MCM).

Keywords

reliability / contact fatigue / spur gear / artificial neural network (ANN) / genetic algorithm (GA) / elastohydrodynamic lubrication (EHL)

References

[1] PengX Q, LiuG, WuL Y, LiuG R, LamK Y. A stochastic finite element method for fatigue reliability analysis of gear teeth subjected to bending [J]. Computational Mechanics, 1998, 21(3): 253-261

[2] ZhangY M, LiuQ L, WenB C. Practical reliability-based design of gear pairs [J]. Mechanism and Machine Theory, 2003, 38(12): 1363-1370

[3] ChenT, SunW. Multi-source data fusion based small sample prediction of gear random reliability [J]. Journal of Mechanical Science and Technology, 2012, 26(8): 2547-2555

[4] AlemayehuF M, Ekwaro-OsirS. Uncertainty considerations in the dynamic loading and failure of spur gear pairs [J]. Journal of Mechanical Design, 2013, 135(8): 1-7

[5] LiC, HanX. Analysis of reliability sensitivity for gear engagement based on response surface methods [J]. Journal of Aerospace Power, 2011, 26(3): 711-715

[6] ZhangP-s, LuS-cElastohydrodynamic theory and its application [M], 1995BeijingHigher Education Press

[7] WenS-z, YangP-rElastohydrodynamic lubrication [M], 1992BeijingTsinghua University Press

[8] GAO C K, QI X M, SNIDLE R W, EVANS H P. Effect of film thickness ratio on gearing contact fatigue life [C]// IUTAM Symposium on Elastohydrodynamics and Microelastohydrodynamics. Berlin: Springer, 2006: 423–434.

[9] TownsendD PLubrication considerations in gear design [R], 1970OhioLewis Research Center Cleveland

[10] LU Yao-hui, WU Ping-bo, YANG Fei, GUAN Qing-hua. Reliability and parametric sensitivity analysis of railway vehicle bogie frame based on Monte Carlo numerical simulation [C]// High Performance Computing and Applications. Berlin: Springer, 2010: 280–287.

[11] DubiAMonte Carlo applications in systems engineering [M], 2007Xi’anXi’an Jiaotong University Press

[12] DengJ, GuD-s, LiX-b, YueZ-q. Structural reliability analysis for implicit performance functions using artificial neural network [J]. Structural Safety, 2005, 27(1): 25-48

[13] HosniE A, MesbahiE, PuY. Reliability analysis of structures using neural network method [J]. Probabilistic Engineering Mechanics, 2006, 21(1): 44-53

[14] ChengJ. An artificial neural network based genetic algorithm for estimating the reliability of long span suspension bridges [J]. Finite Element in Analysis and Design, 2010, 46(8): 658-667

[15] GuiJ-s, LiuH, KangH-g. An intelligent method for structure reliability analysis based on response surface [J]. China Ocean Engineering, 2004, 18(4): 653-661

[16] HUANG Ping, LUO Jian-bin, WEN Shi-zhu, A new numerical approach for calculating EHL film thickness and pressure [J]. Lubrication Engineering, 1998(6): 10–14. (in Chinese)

[17] HuangPNumerical calculation methods of elastohydrodynamic lubrication [M], 2013Tsinghua University PressBeijing

[18] GaoC-kStudy of involute gearing mixed elastohydrodynamic lubrication [D], 2005TaiyuanTaiyuan University of Technology

[19] LI Hua-kui. Reliability analysis of the truck rear axle and finite element analysis of the gear under the EHL [D]. Qingdao: Qingdao Technological University, 2012: 21–42. (in Chinese)

[20] ZHANG Yan-hua. Finite element analysis of accelerating gear of wind-power-generating under the EHL [D]. Qingdao: Qingdao Technological University, 2009: 35–59. (in Chinese)

[21] HuY, LiuS-j, DingS. Contact fatigue life on spur gear with consideration of elastohydrodynamic [J]. Journal of Central South University, 2014, 45(12): 4187-4193

[22] SunZ-l, ChenL-yTheory and method of utility mechanical reliability design [M], 2003BeijingScience Press