中文摘要：

针对弧齿线圆柱齿轮全修形齿面的修形控制问题,提出一种在展成加工的同时对齿廓和齿线两个方向进行修形控制的加工方法。通过调整直刃刀盘的展成运动回转半径,实现齿面齿廓方向的修形量控制;通过调整刀倾角,实现齿面齿线方向的修形量控制。基于空间运动学原理,利用矢量旋转公式,在具有倾角的数控机床上与普通多轴联动数控机床上展成加工齿面时,保持刀具和工件的相对位置和相对运动相同,进行两类机床之间的运动转换,建立机床运动控制方程,从而实现弧齿线圆柱齿轮在普通多轴联动数控机床上的修形加工。并通过试件的切削试验和齿面接触分析试验,证明所提出的修形加工方法和分析的加工运动方程的正确性。与弧齿线圆柱齿轮传统的加工方法相比,这种加工方法效率高,运动关系简单,便于推广应用。

英文摘要：

A generating method with tilted double-sided cutter is proposed on the modification control question of whole tooth surface of cylindrical gears with arcuate tooth trace.According to the new generation,through adjusting the swing radius of the straight-edge cutter in generating movement,the modification control in the tooth profile direction is achieved;through adjusting the cutter-tilt,the modification control in tooth trace direction is realized.Based on the spatial kinematic principle,the kinematic transformation from traditional machine tools with tilted angle to general multi-axis computer numerical control（CNC） ones are realized by vector revolution.In the transforming process,relative position and relative motion of the workpiece and cutter in both machines are invariable,the controlling equations of generating movement of the gear is established.Thereby the cylindrical gears with symmetric arcuate tooth trace can be machined by the general multi-axis CNC milling machine.Then through the cutting experiments of the work piece and tooth contact checkout,correctness of the machining methods and the motion equations are proved.Through comparing this method with traditional machining method,it has high efficiency,simple motion relation and easily to extend application.