Abstract:  The single envelope forming method was one of the most main machining methods for the parts with tooth characteristics. According to the structural characteristics of CP type single screw gullets and the principles of space meshing， a calculation method of single envelope forming for CP type single screw gullets was studied. The method included the section edge shape calculation of rotary cutters， the equations of theoretical and envelope forming screw gullets creation， and single envelop forming errors analysis. The single envelope forming model of a common single screw gullet was calculated and optimized by using this method， the single envelope forming errors of the optimized reference tooth profile were calculated. The results show that error values are large， it indicates that the single envelope forming method may not be applied to the one-step forming of CP type single screw gullets. 

Key words: single screw, single envelope, forming processing, forming error

摘要： 单次包络成形方法是具有齿类特征零件的主要加工方法之一。根据CP型单螺杆齿槽的结构特征，运用空间啮合原理，研究了采用单次包络成形加工的计算方法，该计算方法包括回转刀具的截面刃形计算、理论和包络成形的齿槽面方程建立及单次包络成形误差分析。运用该计算方法，对一种常见规格的单螺杆齿槽的单次包络成形进行了计算与优化，计算了优化后基准齿形的单次包络成形误差，结果显示误差较大，表明单次包络成形加工方法无法应用于CP型单螺杆齿槽的一次成形加工。

关键词: 单螺杆, 单次包络, 成形加工, 成形误差