5 04.00 Special Motion Commands5.4 Polynomial interpolation, POLY 5840DNCU 571840DNCU 572NCU 573810D 840Di Siemens AG 2000. All rights reservedSINUMERIK 840D/840Di/810D/FM-NC Programming Guide Advanced (PGA) − 04.00 Edition 5-1635.4 Polynomial interpolation, POLYThe control system is capable of traversing curves(paths) in which every selected path axis is operatingaccording to a function (max. 3rd degreepolynomial).The equation used to express the polynomialfunction is generally as follows:f(p)= a0 + a1p + a2p2 + a3p3The letters have the following meaning:an: Constant coefficientsp: ParametersBy assigning concrete values to these coefficients, itis possible to generate a wide variety of curveshapes such as line, parabola and power functions.By setting the coefficients as a2 = a3 = 0,it is possible to create, e.g. a straight line withf(p) = a0 + a1pMeanings:a0 = Axis position at end of precedingblocka1 = Axis position at end of definitionarea (PL)DefinitionPolynomial interpolation (POLY) is not one of thereal types of spline interpolation. Its main purpose isto act as an interface for programming externallygenerated spline curves where the spline sectionscan be programmed directly.This mode of interpolation relieves the NC of thetask of calculating polynomial coefficients. It can beapplied optimally in cases where the coefficients aresupplied directly by a CAD system or postprocessor.XY01122334(PL)12344Result in XY plane