中文摘要：

根据偏心螺杆的形状和特征参数，建立了偏心螺杆的螺旋曲面方程；基于无瞬心包络法，从成型铣刀与偏心螺杆的相对运动关系出发，依据成型铣刀与螺杆的啮合条件，建立其接触线方程．由接触线围绕铣刀轴线回转形成回转面的轴向截形，推导出铣刀刀刃的廓形方程．进一步分析了成型铣刀用钝重磨后引起加工误差的原因，以阿基米德螺线为基础建立铣刀的齿背曲线方程，得到具有恒定后角的铣刀廓形方程．仿真结果表明，成型铣刀的廓形与偏心螺杆螺旋曲面吻合良好，设计的成型铣刀廓形方程符合加工要求．

英文摘要：

The design theory and method of formed milling cutter for eccentric screw is presented. Through analyzing the shape and characteristic parameters of eccentric screw, the spiral surface equation of eccentric screw was established. Considering the relative motion and the meshing conditions between formed milling cutter and eccentric screw, the contact line equation was established based on non-instantaneous envelope method. Further, from the cross-section shape of the rotary surface formed by the contact line around the axis of cutter, the profile equation of formed milling cutter was deduced. By analyzing the causes of processing errors after wear of formed milling cutter, the tooth back curve equation was achieved in accordance with spiral of Archimedes and got the profile equation of formed milling cutter with constant back edge was gotten. Finally, the interference for profile equation of formed milling cutter was checked. Simulation shows that the profile of formed milling cutter coincides with the spiral surface of eccentric screw and the designed profile equation of formed milling cutter conforms to the requirements of the processing. This work provides a theoretical foundation for the design and manufacture of formed milling cutter.