Conical end-mills are widely used in CNC machining and the flank has a great influence on the performance of the end-mill. However, the complex structures of conical flank make it difficult to grind. The traditional method for conical flank grinding is to control the grinding wheel with a 3-axis archimedes helix motion, which cannot guarantee the accuracy of the desired flank parameters, i.e., relief angle and flank angle. To solve this problem, this paper proposed a wheel path generation method for 4-axis CNC conical flank grinding. In this model, the grinding processes were discretized into a finite of cylindrical end-mill grinding. For each cylindrical end-mill, the machined flank parameters could be calculated within the cross-section through the envelope theory. Additionally, the geometrical constraints to avoid interference and abnormal flank profile were developed based on the cylindrical end-mill. The wheel path was obtained by calculating the wheel’s position and orientation for the discretized cylindrical end-mill section by section. Also, an integral procedure was built to optimize and simulate the conical flank grinding. The simulation results showed that the proposed method had a wide range of applications that could provide a general solution for the conical CNC flanking operations and also could be extended to grind the complex surface of end-mills in the future study.

圆锥形立铣刀广泛用于CNC加工中，而侧面对立铣刀的性能影响很大。但是，圆锥形侧面的复杂结构使其很难磨削。锥形侧面磨削的传统方法是通过3轴阿基米德螺旋运动控制砂轮，这无法保证所需侧面参数（即后角和侧面角）的准确性。为了解决这个问题，本文提出了一种用于四轴数控圆锥齿面磨削的轮径生成方法。在该模型中，磨削过程被离散化为有限的圆柱形立铣刀磨削。对于每个圆柱形立铣刀，可通过包络理论在横截面内计算出加工后刀面参数。另外，基于圆柱端铣刀，开发了避免干涉和非正常侧面轮廓的几何约束。通过逐段计算离散圆柱端铣刀的车轮位置和方向来获得车轮路径。此外，还建立了一个整体程序来优化和模拟锥形侧面磨削。仿真结果表明，该方法具有广泛的应用前景，可以为圆锥形数控侧翼加工提供通用的解决方案，并且在以后的研究中可以扩展为对立铣刀的复杂表面进行磨削。建立了一个完整的程序来优化和模拟锥形侧面磨削。仿真结果表明，该方法具有广泛的应用前景，可以为圆锥形数控侧翼加工提供通用的解决方案，并且在以后的研究中可以扩展为对立铣刀的复杂表面进行磨削。建立了一个完整的程序来优化和模拟锥形侧面磨削。仿真结果表明，该方法具有广泛的应用前景，可以为圆锥形数控侧翼加工提供通用的解决方案，并且在以后的研究中可以扩展为对立铣刀的复杂表面进行磨削。