Tool path generation for non-uniform rational B-spline with Milne- Simpson PC interpolator and its implementation on 3axsis CNC table

CNC machine tools incorporate the interpolators to generate reference points due to physical movement. In this study, initially the! URBS curve has "een generated and sent to interpolator. By consideration of NURBS curve properties and other dynamic conditions like ma imum velocity, the ma imum acceleration and the ma imum jerk of the reference points have "een generated for each sample time. The current interpolators generally work "ased on 2nd degree Taylor series, "ut the numerical errors which are produced "ecause of the nature of numerical truncations are not considerate. In this report, the real time interpolation of feed rates has "een investigated in order to precisely control position on  a is ! ta"le with Milne-Simpson predictor corrector. In this approach, the numerical errors have "een reduced with correction of the main calculating core of the interpolation unit that has "een led to the higher accuracy. This claim has "een proved "y e perimental tests on 2 a is ! ta"le with "ID controller.