数控系统的刀具半径补偿和B样条曲线实时插补算法研究

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1、北京交通大学硕士学位论文数控系统的刀具半径补偿和B样条曲线实时插补算法研究姓名：谭彦闻申请学位级别：硕士专业：机械制造及其自动化指导教师：王小椿20080601ABSTRACTWiththerapiddevelopmentofmodemmanufacturing，NC(NumericalContr01)technologyiswidelyusedinmodemmanufacturingindustry,andtheopenNCsystemisthemainstreamofNCtechnology．Interpolmionalgorithm，asth

2、ecoreoftheopenNCsystem，hasbecomeanimpoaantresearchdirection．Thisdissertationfocusesonthealgorithmofthereal··timeB--splinecurvesinterpolationbasedontheopenNCsystem，whichhasbeenstudieddeeplyandsystematicallyinthisdissertation，aswellasonthetechnologyofthetoolradiuscompensationoft

3、heopenNCsystem．Themaincontentsofthedissertationareasfollows：Firstly，throughthestudyofthetheoriesabouttheC(Complete)toolradiuscompensation，thedissertationputforwardanewalgorithmofCtoolradiuscompensationfortheeffectivereductionofovercutwhileNC—machining．C++programminglanguageisa

4、doptedtorealizethealgorithm，andexamplesofsimulationaregiventodemonstratetheachievementsofthealgorithm．Secondly,anadaptivereal—-timeinterpolationalgorithmforB·-splinecurvesisproposedcombinedwiththechorderrorcontrolandthelargestcentripetalaccelerationcontrolbasedonthedifferentia

5、lgeometryandthepropertiesofB-splinecurves．AtthesametimeinaccordancewiththecharacteristicsofNCsystem，amethodofB-splinecurvesmatchingisproposed．Thirdly，themodelofthediscreteS-shapeaccelerationanddeceleration(ACC／DEC)feedratecontrolalgorithmisestablishedinthisdissertation．Andbase

6、dontheprinciplesofB—splinecurves，therequirementsofB—splinecurvesconstructionconditionsareusedinthereal-timeinterpolationofB-splinecurves．AndamethodoftherapiddetermineofthedecelerationpointisgivenbasedonthetheoriesoftheapproximateofarClengthparameterizeandthesymmetryoftheS-shap

7、eACC／DECfeedrateprofile．AtthesametimethesolutionoftheproblemthatthelengthofinterpolationpathisshorterthantheoneofS-shapeACC／DECpathisproposed．Atlast，theS-shapeACC／DECfeederatecontrolisrealizationinthereal--timeB--splinecurvesinterpolation，andsomeexamplesaregiventoproveitsvalid

8、ity．Finally，anewinterpolatorbasedonthealgorithmsofreal-timeB—