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Topographic error analysis of a gear plunge shaving cutter finished by a cone grinding wheel

Abstract Gear shaving is one of the most efficient and economical ways to finish gears roughed by hobbing or shaping. The theoretical pitch surface of a gear plunge‐shaving cutter is a hyperboloid with hollow tooth form. The tooth profile of a plunge shaving cutter is usually ground by a cone grinding wheel. In this paper, we propose a mathematical model to calculate the topographical error of the tooth surface of a ground plunge‐shaving cutter compared with the theoretical tooth surface that is conjugated with the work gear. The proposed mathematical model can be used to calculate the profile data of the cone grinding wheel and the corresponding machine setup at a predetermined operating pitch cylinder. The topographic error sensitivities of the plunge‐shaving cutter due to varied operating pitch cylinder, helix angle, and grind wheel data are discussed based on the proposed mathematical model. This paper provides approximate guidance for choosing the proper operation cylinder, the helix angle, and the geometrical data of the cone grinding wheel for the finishing or resharpening of the plunge shaving cutter.