Application of response surface method for contact fatigue reliability analysis of spur gear with consideration of EHL

HU Yun(胡贇)^{1, 2}, LIU Shao-jun(刘少军)^{1, 2}, DING Sheng(丁晟)^{1, 2}, LIAO Ya-shi(廖雅诗)^{1, 2}

(1. School of Mechanical and Electrical Engineering, Central South University, Changsha 410083, China;
2. State Key Laboratory for High Performance Complex Manufacturing (Central South University),
Changsha 410083, China)

Abstract:In order to consider the effects of elastohydrodynamic lubrication (EHL) on contact fatigue reliability of spur gear, an accurate and efficient method that combines with response surface method (RSM) and first order second moment method (FOSM) was developed for estimating the contact fatigue reliability of spur gear under EHL. The mechanical model of contact stress analysis of spur gear under EHL was established, in which the oil film pressure was mapped into hertz contact zone. Considering the randomness of EHL, material properties and fatigue strength correction factors, the proposed method was used to analyze the contact fatigue reliability of spur gear under EHL. Compared with the results of 1.5×10⁵ by traditional Monte-Carlo, the difference between the two failure probability results calculated by the above mentioned methods is 2.2×10^-4, the relative error of the failure probability results is 26.8%, and time-consuming only accounts for 0.14% of the traditional Monte-Carlo method (MCM). Sensitivity analysis results are in very good agreement with practical cognition. Analysis results show that the proposed method is precise and efficient, and could correctly reflect the influence of EHL on contact fatigue reliability of spur gear.

Key words:response surface; contact fatigue; reliability; spur gear; elastohydrodynamic lubrication