齿轮传动误差峰峰值最小化的拓扑修形优化研究  

Topological Modification and Optimization Based on Minimum Peak-to-peak Value of Gear Transmission Error

作　　者：韩江[1,2] 李鹏然 田晓青 夏链[1,2] HAN Jiang;LI Pengran;TIAN Xiaoqing;XIA Lian(School of Mechanical Engineering,Hefei University of Technology,Hefei 230009,China;Anhui Engineering Laboratory of Intelligent CNC Technology and Equipment,Hefei 230009,China)

机构地区：[1]合肥工业大学机械工程学院,合肥230009 [2]安徽省智能数控技术及装备工程实验室,合肥230009

出　　处：《机械科学与技术》2024年第8期1297-1303,共7页Mechanical Science and Technology for Aerospace Engineering

基　　金：国家自然科学基金项目(52075142,52275483)。

摘　　要：为了满足齿轮传动系统低噪声、小振动和高传动精度等要求,提出了一种基于传动误差峰峰值最小化的齿轮拓扑修形优化方法。基于直线与抛物线的复合修形叠加曲线,在标准渐开线齿轮的齿廓和齿向方向对齿轮进行修形设计,提出一种拓扑修形齿面形成方法;以齿轮传动误差峰峰值最小为优化目标,基于遗传算法对提出的拓扑修形齿轮齿面进行参数优化,得出拓扑修形齿轮齿面的最佳修形参数;将拓扑修形齿轮和标准齿轮进行对比,分析修形前后齿轮的齿面受载情况和齿根应力分布情况,验证了提出的拓扑修形优化方法的有效性。In order to meet the requirements of low noise,small vibration and high transmission accuracy of the gear transmission system,this paper proposed a gear topological modification and optimization method.Firstly,the gear is modified in the tooth profile and tooth-leading directionof the involute helical gear tooth based on the modification superposition curve.A topologically modified gear tooth surface formationmethod is proposed.Then,taking the minimum peak-to-peak value of gear transmission error as the optimization goal,the parameters of the topologically modified gear tooth surface formation method were optimized with the genetic algorithm,and the optimal modification parameters of the topologically modified gear tooth surface were obtained.Finally,the topologically modified gear and the standard gear are compared,and the tooth surface load and tooth root stress distribution of the gear before and after modification are analyzed,and the effectiveness of the proposed topological modification and optimization method is verified.

关 键 词：拓扑修形 修形叠加曲线 传动误差峰峰值 优化遗传算法 齿面受载 

分 类 号：TH132.41[机械工程—机械制造及自动化]