INFLUENCE OF MACHINING ERROR OF WORKPIECE POSITIONING SURFACES ON TOOTH PITCH ERRORS OF GLEASON SPIRAL BEVEL GEARS

Abstract

During the machining process of Gleason spiral bevel gears, errors of workpiece positioning surfaces cause positioning errors, which is one of the main
reasons for tooth pitch errors. In this paper, the 3D models of Gleason spiral bevel gears was created according to the machining principle in Autodesk Inventor
software and they were used to simulate the influence of positioning errors on the indicators for evaluating tooth pitch errors, including the maximum single
pitch deviation, the maximum difference between adjacent pitches, and the total cumulative pitch deviation. The research results show that all these indicators
depend linearly on the tilt angle and the distance between the workpiece axis and the z-axis of the machine-tool. Mathematical equations for determining the
value of these indicators based on the tilt angle and distance between axes are also developed, and the manufacturing accuracy level of the workpiece positioning
surfaces was determined so that the values of these indicators would not exceed 1/3 of the tolerance of DIN 6 accuracy level (according to Standard DIN 3965).
The research results are significant for ensuring accuracy when machining Gleason spiral bevel gears.