An optimal Bezier transition algorithm for high-speed machining of linear tool paths

Abstract

Straight lines, or G01 blocks, are the most common representation for the tool path in CNC machining. However, the tangency and curvature discontinuities at the junctions between consecutive segments may lead to non-smooth motion in velocity and acceleration. This would excite the mechanical system structure and deteriorate the machining quality. To solve the problem and generate a smooth and efficient motion transition, an optimal corner smoothing algorithm which adopts a quintic Bezier curve is presented. The proposed transition scheme optimizes the corner speed and corner path simultaneously and embeds the optimization results into the CNC controllers to realize a real-time path smoothing. The performances of the proposed method are validated by performing both simulations and experiments on two multiple line segments. The results demonstrate the feasibility and efficiency of the proposed algorithm.