Tooth Contact Analysis of Involute Beveloid Gear Based on Higher-Order Curve Axial Modification

Abstract

This study investigates the tooth flank contact characteristics of a beveloid gear pair through the lens of higher-order curve tooth modification of the involute beveloid gear. The machining coordinate system of the modified gear pair is established, and its tooth surface equations are derived based on the principle of gear meshing and coordinate transformation. In this context, a contact analysis of the modified gear is conducted, examining the impact of varying parameters on the contact trace and contact ellipses, as well as the implications for meshing characteristics in the presence of assembly errors. The findings indicate that the contact form of the high-order curve axial modification of the beveloid gear pair is point contact. Furthermore, the maximum modification magnitude and the order of the modification curve influence the meshing performance of the beveloid gear pair. Additionally, the beveloid gear pair demonstrates enhanced tolerance to the center distance and the axis crossed error, while exhibiting reduced tolerance to the axis intersected error.