Study of a CNC grinding machining method using an isometric polygon profile

The forming principle and the CNC grinding machining method of an isometric polygonal profile (IPP) are studied deeply and systematically. An equation for the section curve of an isometric polygon profile is set up by means of geometric principles. With the use of differential geometry theory, the curve is proven to have the geometric features of a convex curve. It is referred to as isometric polygonal curve (IPC), because this is a kind of convex curve on which the distance between any parallel tangent lines is equal. An IPP or an isometric polygonal cone profile (IPCP) or an isometric polygonal topless cone (IPTC) is formed with the IPC and a straight line as the generating curve. However, the machining and the measuring of the IPCP are so inconvenient that it has little value. Keeping in mind the characteristic of the IPP and IPTC, this paper puts forward the program method of CNC grinding machining.