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In order to verify the validity of the design for the orthogonal variable transmission ratio face gear pair, a five-axis CNC machine tool was used to machine this gear. The cutter tooth profile coordinate system, orthogonal variable ratio face gear machining coordinates, the model for the round-corner at tooth tip, the contact line model and CNC machining models were established by using space gear meshing theory and the machining principle of five-axis CNC machine tools. The method of machining this gear along the contact line has been obtained through the combination of the envelope method and milling principle. Cutter tooth profile equations, coordinate transformation matrices between the non-circular gear tooth surface and orthogonal variable transmission ratio gear tooth surface, transition surface equations and five-axis motion equations were derived. The rolling experiment and tooth surface measurement experiment were conducted on the gear, which was processed by a five-axis CNC machine. The results show that the tooth surface accuracy of the orthogonal variable transmission ratio face gear is high. The design of the orthogonal variable transmission ratio face gear, and its processing method using a five-axis NC machine have been verified.

A five-axis CNC machining method of orthogonal variable transmission ratio face gear