螺旋锥齿轮齿面误差修正技术研究  

Research on Tooth Surface Error Correction Technique of Spiral Bevel Gears

作　　者：吴聪[1,2] 严宏志 母福生[1,2] 肖蒙[1,2] 艾伍轶[1,2] Wu Cong;Yan Hongzhi;Mu Fusheng;Xiao Meng;Ai Wuyi(State Key Laboratory for High Performance Complex Manufacturing,Central South University,Changsha 410083,China;College of Mechanical and Electrical Engineering,Central South University,Changsha 410083,China)

机构地区：[1]中南大学高性能复杂制造国家重点实验室,长沙410083 [2]中南大学机电工程学院,长沙410083

出　　处：《机械科学与技术》2018年第8期1239-1245,共7页Mechanical Science and Technology for Aerospace Engineering

基　　金：国家自然科学基金项目(51575533)资助

摘　　要：研究了机床调整参数误差对双重螺旋法加工的螺旋锥齿轮小轮齿面误差的影响规律。基于齿轮啮合原理,使用MATLAB软件建立误差齿面方程,推导出了含机床调整参数误差的齿面离散点误差解析式,获得了对应机床调整参数误差的凹、凸两齿面误差拓扑图,分析了机床调整参数误差与齿面误差的映射关系,确定了对齿面误差影响较大的调整参数。借助2阶曲面对齿面误差拓扑图的近似表达,得出机床调整参数误差对齿面误差的影响权重。基于齿面误差及两齿面误差敏感矩阵,建立了齿面误差修正模型,通过广义逆矩阵的最小二乘法解超越方程组,获得机床调整参数的修正量。最后通过实例验证了误差齿面的修正效果,结果表明修正后凹凸两面的齿面误差大幅下降。The relationship between the machine setting parameter errors and the surface errors of spiral bevel gears manufactured by duplex helical method are studied. Based on the gear meshing theory, the equations of deviation surfaces are established and the analytic expression of tooth surface error caused by machine setting parameters errors are derived by MATLAB. The deviation topographies corresponding to the machine setting parameter errors are built, the mapping relationship between the each process parameter error and the tooth surface errors is analyzed, the major impact machine setting parameters are obtained. The influence weight of the change in machine setting parameters on the tooth surface error is obtained by using second order surface. Based on the tooth flank error and error sensitivity matrixes, the model for adjusting tooth flank error is developed, the generalized inverse matrix with least square method is adopted to solve the transcendental equations, and the correction quantities is obtained. A spiral bevel gear generated by the duplex helical method is used as an example to validate the effectiveness of the error correction method, the results reveal that the tooth flank errors of both side are greatly reduced.

关 键 词：螺旋锥齿轮 双重螺旋法 机床调整参数 差曲面 齿面误差修正 

分 类 号：TH132.4[机械工程—机械制造及自动化]