The special machine tool for variable hyperbolic arc tooth line cylindrical gear is designed based on the principle of spatial meshing. The variable hyperbolic arc tooth line cylindrical gear is processed by rotating the large cutter head, and the precise generating motion is made between the workpiece and the tool. The forming principle of variable hyperbolic arc tooth line cylindrical gear is shown in Figure 1, in which α Is the tool pressure angle; The milling cutter disc is the center OD; O1 is the center of gear blank; B is the width of gear blank; R is the cutter head radius.
During machining, the gear blank ω At the same time, it makes a horizontal movement relative to the cutter head at the speed V, and the cutter head is ω 2 rotates at high speed around the spindle. After processing a pair of tooth surfaces, the next pair of tooth surfaces will be processed by indexing. At the same time, in order to make the middle section of the variable hyperbolic arc tooth profile cylindrical gear an involute tooth profile, then ω 1 and V shall meet:
Where, R is the radius of indexing circle of cylindrical gear with variable hyperbolic arc tooth profile; ω 1 is the gear blank rotation speed.