Interpolation Algorithm for Machining Parameteric Curves

Abstract

The work reported here is concerned with study of the speed controlled interpolation algorithm for machining of parametric curves. The algorithms involving first order and second order taylor’s approximation are also studied & discussed. The speed-controlled interpolation algorithm derives a suitable compensatory parameter for the first-order approximation to obtain desirable motion speed. It is based on the Taylor’s approximation. By deriving the compensatory parameter, the algorithm aims at maintaining constant speed and thus improving machining accuracy. The speed-controlled interpolators have been successfully applied to a NURBS command to achieve better control over feedrate. The results have been studied for different values of the interpolation time (Ts) and feedrate for the first order, second order and speed controlled interpolation algorithms. The effect of the weight vector on the speed accuracy have also been discussed.