Velocity planning and parameter calculating in NURBS interpolation

To satisfy the requirements of Computer Numerical Control(CNC)machine's high-speed and high-quality processing,a novel Non-Uniform Rational B-Spline(NURBS)interpolation algorithm was proposed,which included two parts of velocity planning and parameter calculating.Five phased S-curve acceleration and deceleration control method was adopted in velocity planning module,which ensured the CNC machine to run smoothly and avoided intense vibration in high speed CNC machining.The parabola interpolation combined with Newton iteration method was used in parameter calculating module to calculate the interpolation parameters,which could dominate the feedrate fluctuation in idea level and further reduce the machine tremor.Simulation experimental results showed that the new NURBS interpolation algorithm could reduce machine vibration and implement high-quality CNC processing.