Complex geometric modeling and tooth contact analysis of a helical face gear pair with arc-tooth

A complex geometric modeling method of a helical face gear pair with arc-tooth generated by an arc-profile cutting (APC) disc is proposed, and its tooth contact characteristics are analyzed. Firstly, the spatial coordinate system of an APC face gear pair is established based on meshing theory. Combining the coordinate transformation matrix and the tooth profile of the cutter, the equations of the curve envelope of the APC face gear pair are obtained. Then the surface equations are solved to extract the point clouds data by programming in MATLAB, which contains the work surface and the fillet surface of the APC face gear pair. And the complex geometric model of the APC face gear pair is built by fitting its point clouds. At last, through the analysis of the tooth surface contact, the sensitivity of the APC face gear to the different types of mounting errors is obtained. The results show that the APC face gear pair is the most sensitive to mounting errors in the tooth thickness direction, and it should be strictly controlled in the actual application.