The present study provides a comprehensive analysis of the grinding process of spiroid worm shafts, focusing on the combined application of lathe center displacement and lead angle correction on a conventional cylindrical grinding machine. The objective is to generate accurate tooth profiles for spiroid worms and spiroid hobs while minimizing lead errors and angular velocity fluctuations inherent in the worm grinding process. The implementation of lathe center displacement alters the kinematics of the workpiece, transforming the nominal circular path into an elliptical path. This kinematic modification introduces manufacturing deviations due to the continuously varying radius along the elliptical path. To address these effects, a novel mathematical model is developed, enabling the determination of an optimal grinding wheel profile for both spiroid worms and hobs under these non-ideal motion conditions. The simultaneous application of the optimized grinding wheel profile and lead angle correction is shown to significantly enhance the profile accuracy of the generated tooth geometry. Furthermore, a detailed manufacturing analysis is carried out to investigate the influence of variations in the half-taper angle on key process parameters. Based on the analytical and computational results, a methodological solution is proposed to effectively mitigate lead errors and angular velocity fluctuations in spiroid worm grinding.
Bodzás et al. (Thu,) studied this question.