Algorithm to Describe the Ideal Spur Gear Profile

In this paper an algorithm to describe the ideal spur gear profile is proposed. More precisely, the goal is to describe the point to point movement to be used within a CNC machine. Three parameters are the required algorithm input data: the modulus, the number of teeth and the pressure angle. The algorithm is based upon the equations of the circular head and root thickness. The involute of the base circle is used to draw the tooth. The algorithm can be translated into any machine language. However, two codes are proposed in order to test it: A Visual Basic code (which can run as a macro in Excel) and a CNC Mitsubishi G code. Several tips for machining are finally given.