Without solving any nonlinear contact equations usually encountered in traditional approaches, a relative simple, yet useful procedure to the profile determination of a globoidal cam with a conical roller-follower turret is presented. From the machining point of view for such a spatial cam cut by a conical milling/grinding tool by following its angular roller-follower turret motion, the surface geometry of the cam can be represented as the swept surfaces of the tool paths of the used cutter with a size equal to the conical roller-follower of the cam. To determine the swept surfaces of the conical tool paths, the pitch surface generated by the locus of the tool center is first identified. Subsequently, to locate the swept surfaces for the cam surfaces, the meshing vectors and meshing angles are then defined based on the pitch surface. To verify the feasibility and accuracy of the proposed procedure, both analytical formulations and numerical results are shown and compared to those obtained by an earlier technique based on the theory of screws.
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