Machining commands generation with the rotational C2 PHquintic curve interpolant for cam profile manufacturing

Abstract

This paper presents a new method to generate the cam position commands required for manufacturing a cam profile by an open-architecture CNCmachine. At first, the junction points of several connected PH quintic curves as the cam segments are obtained based on the supposed desired follower motion. Consequently, the desired cam curve is represented via multi-segment C2 PH quintic curve. After that, the 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 effectiveness of the employed curve representation and the proposed interpolation algorithm. The simulation results demonstrate that the proposed interpolation algorithm is capable for providing a smooth transition for all regions of the follower motion and the obtaineddisplacement, velocity, acceleration and jerk profiles match the corresponding desired profiles closely. Therefore, the newly advised interpolation algorithm with the uniform segmentation scheme is not only feasible for generating the cam position commands but also yields satisfactory performance for the follower motion. Also, the non-uniform rotational segmentation of the cam curve causes the amount of the kinematic characteristics of the follower motion are significantly increased compared to the corresponding desired profiles.