Design method of side rear angle surface of toroidal worm gear hob

The invention discloses a design method of a side rear angle surface of a toroidal worm gear hob, and belongs to the field of mechanical transmission. The design method comprises the following steps: constructing a left side rear angle surface of at least one cutter tooth of the toroidal worm gear hob, and rotating a front cutter surface of the at least one cutter tooth by a first angle theta1 to obtain a mapping front cutter surface; rotating the left side helicoid of the basic toroidal worm by a second angle theta 2 to obtain a left side mapping helicoid; determining a first intersecting line formed by intersecting the mapping rake face and the left side mapping spiral face; obtaining a plurality of first intersecting lines by changing the first angle theta1 and the second angle theta2; and obtaining the left side rear angle surface based on the plurality of first intersecting lines. According to the design method, the side rear angle face design method of the edge-belt-free regrindable ring surface worm ge