球齿轮渐开线齿廓曲面磨削加工方法研究

球齿轮是在其球冠面上分布着一道道环形齿的新型齿轮。在分析球齿轮形状特征的基础上,将普通齿轮的范成法加工原理推广应用到球齿轮渐开线齿廓曲面的磨削加工上,形成了球齿轮渐开线齿廓曲面的范成法精密磨削加工方法。并设计了五自由度的加工机床方案。该方案的创新之处在于当球齿轮与盘形砂轮进行啮合运动时,球齿轮并不是绕过球心的竖直轴转动,而是绕平行于过球心的竖直轴的轴转动,盘形砂轮的运动是在二维平面内的平动。推导出了球齿轮渐开线齿廓曲线曲面的参数方程,仿真和实际的加工实验验证了该方案的正确性。

Grinding Manufacture of the Teeth Surfaces of an Involute Spherical Gear

Spherical gear is a new type of gear formed by attributing ring teeth on its spherical surface.Based on the study of configuration characteristic of the spherical gear,we extend the principle of the generating method for general gear′s manufacture to precision grinding manufacture of the spherical gear′s involute teeth surfaces,thus forming the principle of the grinding machining method for spherical gear with involute teeth surfaces by the slot method.In addition,a 5-DOF machine tool′s processing scheme was designed.The innovation of this scheme is that,a spherical gear turns around on the axis that parallels the turntable that passes through the gear′s sphere center rather than turns around the turntable that passes through gear′s sphere center,and the plate grinding wheel moves in a 2-D plane.The parameter equation of the spherical gear′s involute teeth curves and spherical gear involute teeth surfaces were determined.Simulation and machining indicates that this method is correct.