基于响应面和MCMC的齿轮接触疲劳可靠性  

Gear Contact Fatigue Reliability Based on Response Surface and MCMC

作　　者：佟操 孙志礼[1] 柴小冬[1] 王健[1] 

机构地区：[1]东北大学机械工程与自动化学院,辽宁沈阳110819

出　　处：《东北大学学报（自然科学版）》2016年第4期532-537,共6页Journal of Northeastern University(Natural Science)

基　　金：国家科技重大专项(2013ZX04011-011)

摘　　要：针对齿轮接触失效,建立带有安装与制造误差的齿轮参数化模型,通过大变形显式动力学仿真软件来模拟齿面动态接触应力.然后,根据应力-强度干涉模型,建立齿轮响应面状态函数.为了提高齿轮响应面功能函数的拟合精度,提出了一种基于响应面和Markov chain Monte Carlo(MCMC)的可靠性分析方法,并进行可靠性灵敏度分析,以定量概率反映安装误差、制造误差及外载荷等随机因素对齿轮传动可靠性的影响程度.最后,将Monte Carlo模拟100 000次的计算结果与所提方法的结果进行比较,验证了可靠性分析方法的正确性.A parameterized model of the gear with assembly and manufacturing errors was established for the gear contact failure,and the dynamic tooth surface contact stress was simulated by using the large-deformation explicit dynamics simulation software. Then, the response performance function of the gear was built by the stress-strength interference model. A reliability analysis method based on response surface and the Markov chain Monte Carlo（ MCMC） was proposed to improve the precision of the response performance function,and the dependability sensitivity analysis was conducted to quantify the effects of assembly errors,machining errors and stochastic external loads on gear transmission reliability. Finally,the correctness of this method was verified by comparing the results of 100 000 Monte Carlo simulations with the results of the as-proposed method.

关 键 词：响应面 马氏链蒙特卡洛(MCMC) 齿面接触疲劳 安装误差 制造误差 可靠性灵敏度 

分 类 号：TH113[机械工程—机械设计及理论]