Geometric and Tooth Contact Analysis of the Areas and Perimeters, on the Archimedean Worm Wheels depending on the Modification of the Axial Module

Abstract

The goal of this study is to determine the correlation between the modification of the axial module and the received mechanical parameters on the teeth, of the worm gear. We analyze the areas and perimeters of the impressions on the teeth of the worm gear comparing the module changing. Six types of Archimedean worm gear drives are designed by the modification of the axial module to analyze the mechanical parameters between the connecting teeth of the pinion and the gear. After that, computer aided models are generated. These pairs are loaded with the same torque, to analyze the mechanical parameters on the tooth contact zone. Due to the geometric establishment, three teeth of the worm wheels are connected with the worm surface, at the same time, that is why these teeth are analyzed continuously. We approach the kinematic impressions on the surface of the worm wheel, by polygon method, to get percentage ratios between the areas and perimeters of the overall profile and the tooth contact zone, on the worm wheel, for each connecting tooth. We also determine the correlation between the axial module and the analyzed mechanical parameters, assuming average values, on the contact surfaces.