螺杆压缩机的泄漏情况与螺杆的啮合线及泄漏三角形有密切关系,以往的型线设计是先确定其中一转子的端面型线来求取其啮合线及其共轭曲线,本文直接从较为理想的啮合线出发,反过来求取螺杆的共轭型线,也就是应用逆命题的方法。本文导出了从啮合线求取共轭型线的积分方程,以螺杆常用型线为例加以说明,并进一步阐明了对以离散点给出的任意啮合线求取螺杆共轭型线的方法,为优化设计螺杆齿形提供了有效的方法。 Leakage of screw compressors is closely related to the meshing line of the screw rod and the leakage triangle. In the past, the design of the former wireline was to determine the meshing line and its conjugate curve of one of the rotor heads. This article directly from the more ideal Starting from the meshing line, which in turn is the method of applying the inverse proposition. In this paper, we derive the integral equation of the conjugate line from the meshing line, and take the commonly used screw line as an example to illustrate, and further elucidates the method of obtaining the screw conjugate line from any meshing line given by discrete points, In order to optimize the design of the screw tooth provides an effective method.