非圆齿轮传动误差及齿侧间隙的数值模拟与试验  

Numerical simulation and experiment of non-circular gear transmission error and backlash

作　　者：董长斌 李龙坤 刘永平[1] 裴王鹏 DONG Chang-bin;LI Long-kun;LIU Yong-ping;PEI Wang-peng(School of Mechanical and Electrical Engineering,Lanzhou University of Technology,Lanzhou 730050,China)

机构地区：[1]兰州理工大学机电工程学院,兰州730050

出　　处：《吉林大学学报（工学版）》2024年第4期865-873,共9页Journal of Jilin University:Engineering and Technology Edition

基　　金：国家自然科学基金项目(52265008).

摘　　要：非圆齿轮的传动误差模型建立困难以及齿侧间隙难以获取等问题限制了它在精密场合的应用。为了提高非圆齿轮的传动精度,在考虑偏心误差的基础上,基于啮合线增量法建立了双向传动下的非圆齿轮传动误差模型及齿侧间隙模型,分析了偏心率及偏心误差对双向传动误差和齿侧间隙的影响,并通过传动试验验证了理论分析的正确性。分析表明:非圆齿轮的齿侧间隙可通过双向传动误差获得;随着偏心率和偏心误差的增大,双向传动误差均呈现递增趋势;优化初始相位在一定程度上可以降低传动误差和齿侧间隙;随着负载的增大,传动误差和齿侧间隙也呈现递增趋势,且由于轮齿变形的存在,齿侧间隙有一定累计值产生。The difficulty in establishing the transmission error model of non-circular gears and obtaining the backlash limit its application in precision occasions.In order to improve the transmission accuracy of non-circular gears,the non-circular gear transmission error model and backlash model under bidirectional transmission are established based on the meshing line incremental method considering the eccentricity error.The influence of eccentricity and eccentricity error on bidirectional transmission error and backlash are analyzed,and the correctness of theoretical analysis is verified by transmission test.The analysis shows that the backlash of the non-circular gear can be obtained by the bidirectional transmission error.With the increase of eccentricity and eccentricity error,the two-way transmission error shows an increasing trend.Optimizing the initial phase can reduce the transmission error and backlash to a certain extent.As the load increases,the transmission error and backlash also show an increasing trend.And due to the existence of gear tooth deformation,there is a certain cumulative value of the backlash.

关 键 词：机械制造及其自动化 非圆齿轮 啮合线增量 传动误差 齿侧间隙 传动试验 

分 类 号：TH132.4[机械工程—机械制造及自动化]