复杂螺旋面包络铣刀位轨迹仿真方法

针对复杂螺旋曲面加工误差问题，开展了对其空间包络铣刀位轨迹算法的研究。研究中采用计算机仿真的数 值计算方法，将加工过程中刀具工件的动态啮合关系通过时间离散和空间离散转换成一个空间几何问题，通过建立 刀具回转面与工件螺旋面的空间三维模型，并推导实现刀具工件啮合关系的坐标转换矩阵，并将刀具与工件两曲面 的最小有向距离的求解转变为一个二维问题，最终建立了刀位轨迹仿真算法，获得了编制数控代码的参数信息。试样 加工结果表明，利用该方法得到刀位轨迹参数进而编制的数控加工程序，能够加工出满足精度要求的螺旋面。同时也 分析了加工廓形误差分布及其影响因素。

Tool Path Simulation of Envelope Milling of Complex Helical Surface

In order to reduce the machining error of complex helical surface，this paper studied the algorithm about tool path of envelope milling by transforming the dynamic meshing relationship into the space geometry problems between milling- cutter and workpiece through time discretization and spatial discretization in machining process based on numerical simulation method. We build three-dimensional model of milling-cutter and workpiece surface of revolution，deduce the coordinate-transformation matrix of meshing relationship between milling-cutter and workpiece，simplify the minimal directed distance between millingcutter and workpiece into a two-dimensional problem，set up the simulation algorithm of tool-path of milling-cutter and finally get the parameter information of NC codes. The machining process programmed on the obtained parameters proved to be able to produce the helical surface with required precision. Error distribution of the profile and its influencing factors are studied too.