非正交非对称面齿轮啮合原理与齿面设计

In order to increase the effective tooth width of the face gear, a non-orthogonal asymmetric face gear pair with arbitrary shaft angle transmission and unequal pressure angles on both sides of the tooth profile was studied. Firstly, the asymmetrical rack was designed and the tooth surface equation of the asymmetrical shaper was deduced according to the motion relationship between the rack and the shaper. Secondly, based on the meshing principle, the gear shaping coordinate system of non-orthogonal asymmetric face gear was established. The working surface and fillet surface of non-orthogonal asymmetric face gear were discretely solved by using the data visualization software. The mathematical model of complete tooth surface was established. Thirdly, the limiting conditions of tooth width of non-orthogonal asymmetric face gear were determined, the influence of shaft angle and pressure angle on tooth width was analyzed and the tooth contact path of face gear with different pressure angles was obtained. Finally, the point cloud was imported into 3D software and the complex surface model of non-orthogonal asymmetric face gear was obtained by surface fitting. The results show that the undercutting limit of the non-orthogonal asymmetric face gear is related with the driven side tooth surface. The larger the pressure angle of the driven side tooth surface is, the smaller the inner diameter of the undercutting is. Increasing the shaft angle or decreasing the tooth surface pressure angle on the driven side can effectively avoid pointing of the tooth tip and increase the effective tooth width. The asymmetrical tooth profile of the face gear can obtain a longer contact path and have better transmission performance, but it is more prone to edge contact.