ASMEB89TECHNICALREPORT.ParametricCalibrat.ionofCoordinateMeasuringMachines@TheAmericanSocietyofMechanicalEngineers345East47thStreet,NewYork,N.Y.10017DateofIssuance:February6,1991Nopartofthisdocumentmaybereproducedinanyform,'inanelectronicretrievalsystemorotherwise,withoutpriorwrittenpermissionofthepublisher.Copyright01991byAllRightsReservedPrintedinU.S.A..THEAMERICANSOCIETYOFMECHANICALENGINEERS-FOREWORDThisTechnicalReportwaswrittenbyTaskForceL-Pararnetrics,ASMEWorkingGroup689.1.12,CoordinateMeasuringMachines.MethodsforPerformanceEvaluationofCoordinateMeasuringMachines,ANSI/ASMEB89.1.12M-1985,recognizesthatmore-complexmcthodsthanthoseoftheStan-.dardmaybeappropriateforsomeapplications.Theintentofthispaperistoprovideguidancetospecificationwritersinthosecaseswhcretheappropriatcmore-complcxmethodisthemethodofparametriccalibration.Sinceparametriccalibrationdoesnotassesstheeffectsofmachinedynamicsandprobing,itshouldbeconsidercdasupplementtoB89.1.12testsratherthana'replacement.'Therearetwotypesofappropriateapplicationsforparametriccalibration.ThefirstincludescaseswheremethodsoftheB89.1.12Standarddonotgivereasonableassurancemachinegeometryiscorrect.Anexampleisthecasewhereashortballbarmustbeusedtotestamachi-newithonelongaxis.Thesecondincludescaseswherethcreisaneedtoknowdetailsofmachinegeometry.Anexampleisasystemwherethemachineisusedtopositionaphotoarraycamera.Machinesinathirdcategory,thosewithparametricerrorcorrection,maygenerallybetestedbymethodsoftheStandard,andareoutsidethescopeofthisreport.Inmanycasesapartialparametriccalibrationmaybeappro-priate.Parametriccalibrationofamachineismeasurementofitsparametricerrors.Thesearedifferencesbetweenactualandnominalpositionsofmachine'movablecomponents.Inthesystemofthispaper,foreachpositionofathree-axismachinetherearetwenty-oneparametricerrors.Theymaybemathematicallycombinedtofindthethreeaxialcomponentsofprobetippositionerror.Probetippositionerrorisoneofseveraldeter-minantsofperformanceasmeasured,forexample,intheB89.1.12lineardispla...