The control units of numerically controlled manufacturing machines allow the programmer
only a limited number of mathematical functions with which programmes can be written.
Despite these limitations it is now possible to write programmes with which three
dimensional (3D) circular interpolation can be performed directly on the .machines. The
necessary mathematical techniques to perform 3D circular interpolation directly on the
machines are deduced, although somewhat roundabout to overcome the programming
limitations. The main programming limitations as well as cutter speed limitations are
indicated.
Die beheereenhede van numeriesbeheerde vervaardigingsmasjiene beskik:oor 'n beperkte
aantal wiskundige funksies wat tot die beskikking van die programmeerder gestel word om
programme mee te skryf. Selfs met .hierdie beperkings is dit nou moontlik om programme
te skryf waarmee driedimensionele (3D) sirkelinterpolasie direk op die masjiene uitgevoer
kan word. Die nodige wiskundige tegnieke waarmee 3D sirkelinterpolasie gedoen kan
word, al is dit 'n effens omslagtige manier om die beperkings te oorkom, word afgelei. Die
belangrikste programmeringsbeperkings asook snyspoedbeperkings word aangetoon.
