Small Line Segment Interpolation Algorithm for Smoothing Machining

Abstract

To make machining surface smoothing, a smoothing interpolation algorithm based on small line segments is proposed to meet the special requirements of smoothing machining. The algorithm takes the approach of s-curve acceleration and deceleration control for single tool path, yet between adjacent parallel trajectory adopts linear acceleration and deceleration control. This method enables feed rate between adjacent tool paths to transit continuously and meets the requirement of flexible and smooth machining. The article constructs a mathematical model of relationship among machining precision, maximum feed rate, acceleration, jerk and maximum allowable instantaneous feed rate to assure machining precision and machining efficiency. The model ensures that acceleration of single tool path and feed rate between parallel tool paths is continuous and simultaneously tries its best to enhance machining efficiency. In the end, the experiment result shows that the algorithm can meet the requirement of smoothing machining with an assurance of machining precision.