基于线接触加工的曲面与竖直平面相贯处刀位轨迹研究

Research on Tool Path of Intersection Between Curved Surface and Vertical Plane Based on Line Contact Machining

针对线接触加工二次曲面刀具轨迹规划的问题,结合线接触加工原理,通过各轴之间的相对运动形式、结构系数、运动参数以及坐标变换顺序,得出铣刀侧刃机构的坐标变换矩阵和位姿矩阵。以圆锥面和竖直平面相贯处为例,根据圆锥曲面和垂直平面2个特征图元的导动线数学方程,得到竖直相贯处线接触加工的刀位轨迹数学模型。通过实验,线接触竖直相贯处时生成刀位数据,刀具沿导动线进行进给运动就可以完成平面与曲面竖直相贯处的线接触加工,验证了线接触加工曲面竖直平面相贯处的刀位轨迹规划的正确性。

Aiming at the problem of the path planning of the quadric tool. The coordinate transformation matrix and the position and gesture matrix are obtained through relative motion form,structure coefficient,motion parameter and coordinate transformation sequence between the axes of the machine. Taking the Intersection of conical surface and vertical plane as an example, the mathematical model of the cutter path of the intersection line contact machining is established according to the mathematical equation of the guided line based on tow characteristic elements of conic surface and vertical plane. The cutter location data are generated in line contact milling by experiment. The line contact machining of the intersection is completed by the cutter rotating around the guide line. The correctness of the tool path planning of the intersection of conical surface and vertical plane is proved in line contact milling processing.