Abstract
High accurate NURBS interpolation algorithm based on Runge-Kutta method was proposed to solve the problem of low precision and efficiency during NURBS machining. The algorithm plans desired feed rate according to the constraint of the tolerant maximum chord error, and calculates the interpolation parameters through the classical fourth-order Runge-Kutta method during real-time interpolation process, which only needs the first derivative of NURBS curve. Then we can quickly get the high accurate interpolation parameters, which greatly reduces the error between the actual feed rate and desired feed rate. Namely, the feed rate fluctuation rate has been effectively controlled. The feasibility of the algorithm was verified by MATLAB simulation.
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