On the Accuracy of Precision Involute Hobs: An Analytical Approach

This paper investigates the impact of the major design parameters of an involute hob on deviations of the hob tooth profile. Desired and actual hob tooth profiles are considered. The desired hob tooth profile is given as the line of intersection of the generating surface of the involute hob by the rake face. The actual hob tooth profile is a certain linear approximation of the desired profile. To evaluate deviation of the actual hob tooth profile with respect to the desired profile, the maximal deviation of the profiles from each other is used. This deviation is measured along the pitch line of the involute hob. An analytical method for computation of the deviation is developed. Using the commercial software MathCAD/Scientific, numerous computer codes are developed. Analysis results reveal a significant impact of the major design parameters of involute hobs on hob accuracy. Optimal configuration of the hob rake face is determined in order to minimize the deviations of the actual hob tooth profile from the desired profile. Based on the research results, reliable ways are proposed for increasing the accuracy of involute hobs in actual practice.