Design method, parameterization design method and processing method of enveloping surface cylindrical worm

The invention relates to the technical field of cylindrical worm designing and manufacturing, and discloses an envelope surface cylindrical worm designing method, a parameterization designing method and a machining method.The envelope surface cylindrical worm designing method comprises the steps that the included angle between the axis of a worm and the axis of a grinding wheel is the lead angle gamma of the worm; the method comprises the following steps: 1, establishing a worm tooth surface equation; 2, determining a calculation process for obtaining the section of the tooth profile; thirdly, a program is written in numerical calculation software according to the calculation process of the obtained tooth profile section, all parameters in the program are assigned, and the program is operated to obtain coordinate points of the axial tooth profile section of the worm with the initial position; and 4, importing the coordinate point of the axial tooth profile section of the worm with the initial position into th