基于参数不确定性条件下的齿轮弯曲疲劳可靠性灵敏度分析  

Sensitivity analysis of gear bending fatigue reliability based on parameter uncertainty

作　　者：李明凯 康贺铭 李永平 杨溥 陈雨 于欢[1] 邓海龙[1,2] LI Mingkai;KANG Heming;LI Yongping;YANG Pu;CHEN Yu;YU Huan;DENG Hailong(School of Mechanical Engineering,Inner Mongol University of Technology,Hohhot 010051,CHN;Inner Mongolia Key Laboratory of Advanced Manufacturing Technology,Hohhot 010051,CHN)

机构地区：[1]内蒙古工业大学机械工程学院,内蒙古呼和浩特010051 [2]内蒙古自治区先进制造技术重点实验室,内蒙古呼和浩特010051

出　　处：《制造技术与机床》2022年第6期164-169,共6页Manufacturing Technology & Machine Tool

基　　金：内蒙古自治区自然科学基金(2018BS05005,2021LHMS05009);内蒙古高等教育研究项目(NJZY21306);内蒙古自治区其他厅局项目(2018NMKJ11);内蒙古工业大学科学研究项目(ZZ201801,ZY202005)。

摘　　要：文章旨在研究基于参数不确定条件下的齿轮弯曲疲劳可靠性计算及可靠性灵敏度分析。在应力比为0.04条件下进行弯曲疲劳试验,建立了齿轮S-N曲线及不同可靠度下的P-S-N曲线;虑及不确定性因素,基于应力-强度干涉模型,采用蒙特卡罗法对齿轮弯曲疲劳可靠度进行模拟计算,结果良好;结合可靠度模拟计算结果与灵敏度计算模型,得到了去除量纲后各项随机参数于不同可靠度下的均值灵敏度和方差灵敏度,结果表明,各均值灵敏度在不同可靠度下的正、负相关性并存且影响平缓;而在方差灵敏度中,除参数YF在各可靠度下均为负值且影响平缓以外,其余六参数在各可靠度下均为正值且影响剧烈。The purpose of this paper is to study the reliability calculation and reliability sensitivity analysis of gear bending fatigue under uncertain parameters.Under the condition of stress ratio of 0.04,the S-N curve and P-S-N curve of gear under different reliability were established.Considering the uncertainty factors,Monte Carlo method was used to simulate the reliability of gear bending fatigue based on the stress-strength interference model,and the results were good.Combined with the reliability simulation results and the sensitivity calculation model,the mean sensitivity and variance sensitivity of each random parameter under different reliability after dimensionless removal were obtained.The results show that the positive and negative correlations of each mean sensitivity exist together and the influence is gentle under different reliability.In variance sensitivity,except for parameter YF,which is negative at all reliability degrees and has gentle influence,the other six parameters are positive at all reliability degrees and have severe influence.

关 键 词：弯曲疲劳 可靠性 灵敏度 不确定参数 蒙特卡罗法 

分 类 号：TH132.41[机械工程—机械制造及自动化]