Abstract
A precise analysis has been made for a design method in order to obtain a profile of the cutting edge of a hob, especially in the case in which a profile of the relief grinding wheel is given as a series of dispersive points. Firstly, it is clarified that under certain circumstances a singular point (a cusp) will occur on the profile of the cutting edge of the hob corresponding to the profile of the relief grinding wheel. Secondly, numerical analysis methods are proposed to determine the interference by using a conditional equation of the cusp and to obtain a profile of the cutting edge of the hob. Then, the theories in this analysis are verified by applying these numerical analysis methods to the dimensions of screw rotor hobs and relief grinding wheels.
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