Machining command generation with a rotational C2 PH quintic curve interpolant for cam profi le manufacturing

This paper presents a new method to generate the cam position commands required for manufacturing a cam prole by an open-architecture CNC machine. At rst, the junction points of several connected PH quintic curves, as cam segments, are obtained based on the supposed desired follower motion. Consequently, the desired cam curve is represented via a multi-segment C2 PH quintic curve. After that, a new interpolation algorithm is proposed to generate the position commands required for machining of the cam. The designed cam-follower mechanism is performed for several case studies to evaluate the eectiveness of the employed curve representation and the proposed interpolation algorithm. The simulation results demonstrate that the proposed interpolation algorithm is capable of providing a smooth transition for all regions of the follower motion, and the obtained displacement, velocity, acceleration and jerk proles match the corresponding desired proles closely. Therefore, the newly advised interpolation algorithm with a uniform segmentation scheme is not only feasible for generating cam position commands, but also yields a satisfactory performance for the follower motion. Also, the non-uniform rotational segmentation of the cam curve causes the amount of kinematic characteristics of the follower motion to be signicantly increased, compared to the corresponding desired proles.