Optimized Polynomial Functions for Inducing Variation to Machine Tool Settings in Manufacturing Hypoid Gears

摘要

In this study, polynomial functions of orders up to five are applied to induce variations in the cradle radial setting and the velocity ratio in the kinematic scheme of the machine tool for the generation of the pinion tooth surfaces. The results are reduced transmission error amplitudes of the hypoid gear pair. Two individual cases are investigated. In the first case the coefficients of the polynomial functions are kept constant throughout the entire generation process of pinion tooth surfaces while the second case considered different coefficients for the generation of the pinion tooth surfaces on the two sides of the initial contact point. The results presented indicate that the variation of the velocity ratio in the kinematic scheme of the hypoid generator induced by a fifth-order polynomial function resulted in a 62% reduction of the maximum transmission error of the gear pair. It was also shown that the adverse influence of misalignments inherent in the hypoid gear pairs and the transmitted torque value on transmission errors can be reduced considerably by the optimal variation in machine tool settings.