Research on arc tooth face-gear with undercutting and pointing

The generating method adopted for processing arc tooth face-gear, the generating gear was assumed to conjugate arc tooth cylinder gear and arc tooth face-gear. The non-undercutting and avoiding pointing conditions for face gear were established based on meshing principle, differential geometry and geometry principle. The precise 3D model was build for the arc tooth face-gear by Matlab. The maximum outer radius and the minimum inner were acquired in non-pointing and non-undercutting conditions. The arc tooth face-gear was processed with multi-axis NC machining tools. A processing example verifies that the 3D model and the tooth width design offers accurate data for NC machining. It ensures the precision of the generating method in processing the arc tooth face-gear. The method provides a theoretical and tentative basis for the analysis of tooth surface contact stress, tooth root bending stress and dynamics and further furnishes systematic theoretical direction for experiment and application.