Computerized simulation of generation of internal involute gears and their assembly

The contents of the paper cover the determination of conditions: (i) of nonundercutting by axial and axial-radial generation of internal gears by shapers, and (ii) avoidance of interference by axial and axial-radial assembly. The authors have developed computer programs for simulation of undercutting and interference, design charts and a table that allow to determine the limiting number of teeth of the cutter and pinion considering the tooth number of internal gear as known. The details of developed algorithms are given in the Appendices. The paper is illustrated with computer graphics and numerical examples.