Mathematical basis for three dimensional circular interpolation on CNC machines

dc.contributor.authorLubbe, Andre J.
dc.date.accessioned2012-11-27T07:36:15Z
dc.date.available2012-11-27T07:36:15Z
dc.date.issued1997
dc.description.abstractThe 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.en_US
dc.description.abstractDie 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.en_US
dc.description.urihttp://sajie.journals.ac.zaen_US
dc.format.extent13 pagesen_US
dc.format.mediumPDFen_US
dc.identifier.citationLubbe, AJ 1997, 'Mathematical basis for three dimensional circular interpolation on CNC machines', The South African Journal of Industrial Engineering, vol. 8, no. 2, pp. 47-59. [http://sajie.journals.ac.za]en_US
dc.identifier.issn1012-277X (print)
dc.identifier.issn2224-7890 (online)
dc.identifier.urihttp://hdl.handle.net/2263/20530
dc.language.isoenen_US
dc.publisherSouthern African Institute for Industrial Engineeringen_US
dc.rightsSouthern African Institute for Industrial Engineeringen_US
dc.subjectManufacturing machinesen_US
dc.subjectMathematical modelsen_US
dc.titleMathematical basis for three dimensional circular interpolation on CNC machinesen_US
dc.typeArticleen_US

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