ABSTRACT
Numerous designs of gear cutting tools utilizing the advantages of the planar intersected-axes gear machining mesh are used in the industry today. One good example of these tools is gear shaper with a tilted axis of rotation. To determine the generating surface of a gear shaper cutter with tilted axis of rotation, the kinematic method for determination of enveloping surfaces can be used. It is practical to approximate a desired tooth profile of the gear shaper cutter by a smooth regular curve. The approximation of the gear shaper cutter tooth profile by an involute curve is advantageous because the involute tooth profile is easier for machining. The concept of shaping spur gears by a gear shaper cutter having a tilted axis of rotation can be traced back to 1930, when E. Wildhaber filed his invention. Later on, in late 1930s, Professor Ye M. Khaimovich of the Kiev Polytechnic Institute was granted a USSR patent on invention titled "Gear Shaping Machine".
