直齿锥齿轮螺旋线修形多目标回归方程优化分析  

Multi-objective Regression Equation Optimization Analysis for Helical Modification of Spur Bevel Gear

作　　者：谭大庆 胡韶华[2] 万元 谭伟[4] Tan Daqing;Hu Shaohua;Wan Yuan;Tan Wei(School of Mechanical Engineering,Chongqing Industry Polytechnic College,Chongqing 400050,China;不详)

机构地区：[1]重庆工业职业技术学院机械工程学院 [2]重庆工程职业技术学院电气工程学院 [3]中国兵器工业第五九研究所精密成形中心 [4]重庆工商大学机械工程学院

出　　处：《工具技术》2021年第12期107-110,共4页Tool Engineering

基　　金：重庆市教委科学研究重大课题(KJZD-K201903401)。

摘　　要：根据直齿锥齿轮螺旋线修形原理,通过KISSsoft软件研究了螺旋线修形量、齿廓修形量、螺旋线修形因子Ⅰ与Ⅱ对最大齿面接触应力、响应量传动误差峰值差、半轴齿根最大弯曲应力及星齿根最大弯曲应力产生的影响,基于Minitab软件设计了全因子测试方案,针对不同响应量构建了回归方程优化参数。研究结果表明:齿廓修形量逐渐增大时,传动误差峰值差减小,齿面最大接触应力先减小再增大而后又继续减小,弯曲应力先快速增大接着保持缓慢增加,半轴齿根弯曲应力先降低再升高。以Minitab响应优化器优化修形参数,各响应量误差率均在3%内,证明基于Minitab软件构建的回归模型可以实现响应量变化情况的准确预测。According to the principle of spur bevel gear helix modification,the impact of the helix modification measure,the tooth profile modification,helix modification factorsⅠandⅡon maximum tooth surface contact stress,peak value difference of the transmission error,the maximum bending stress of half shaft gear tooth and of star tooth root are studied with KISSsoft.The full-factor test scheme is designed with Minitab,and the optimized parameters of the regression equation are constructed for different response quantities.The results show that with the gradual increase of tooth profile modification,the peak difference of transmission error decreases,the maximum contact stress of tooth surface decreases first and then increases and then continues to decrease,the bending stress increases rapidly at first and then keeps increasing slowly,and the bending stress of semi-shaft tooth root decreases first and then increases.The Minitab response optimizer is used to optimize the modification parameters,and the error rates of each response quantity are all less than 3%,which indicates that the regression model built by Minitab could achieve accurate prediction of response quantity changes.

关 键 词：齿轮修形 直齿锥齿轮 多目标优化 回归方程 响应量 误差率 

分 类 号：TH132.421[机械工程—机械制造及自动化]