Design and Manufacture of Gear Cutting Tools and Gears with an Arbitrary Profile : A Method for Calculating Grinding Wheel-Profile for Hob Finishing

Abstract

The theory for calculating the profile of a tool to be used for finishing gears with an arbitrarily given tooth-profile, which was shown in the previous report of this investigation, is expanded and new equations are derived to calculate the profile of a grinding wheel to be used for finishing a gear hob. In order to demonstrate the usefulness of the equations, profiles of a grinding wheel for finishing a hob to cut Novikov gears with concave teeth are calculated numerically. It is clearly shown that the profile of the gear cut by this hob is almost the same as the given tooth profile in the design state. The errors of tooth profiles of the gear cut by the reground hob are numerically calculated through the changes in the profiles of the basic rack expressed by the reground hob.