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1、MappingasetofnodesfromonecoordinatesystemtoanotherYoucanmapasetofnodesfromonecoordinatesystemtoanother.Youcanalsorotate,translate,orscalethenodesinasetbyusingamoredirectmethodinsteadofcoordinatesystemmapping.Thesecapabilitiesareusefulformanygeometricsituatio
2、ns:ameshcanbegeneratedquiteeasilyinalocalcoordinatesystem(forexample,onthesurfaceofacylinder)usingothermethodsandthencanbemappedintotheglobal(X,Y,Z)system.Inothercasessomepartsofyourmodelneedtobetranslatedorrotatedalongagivenaxisorscaledwithrespecttoonepoint
3、.Themappingcapabilitycannotbeusedinamodeldefinedintermsofanassemblyofpartinstances.Thefollowingdifferentmappingsareprovided:asimplescaling;asimpleshiftand/orrotation;skewedCartesian;cylindrical;spherical;toroidal;and,inAbaqus/Standardonly,blendedquadratic.Th
4、efirstfiveofthesemappingsareshowninFigure2.1.1–13.Figure2.1.1–13Coordinatesystems;anglesareindegrees.BlendedquadraticmappingisshowninFigure2.1.1–14.Figure2.1.1–14Useofblendedquadraticmappingtodevelopasolidmeshontoacurvedblock.Inallcasesthecoordinatesofthenod
5、esinthesetareassumedtobedefinedinthelocalsystem:theselocalcoordinatesateachnodearereplacedwiththeglobalCartesian(X,Y,Z)coordinatesdefinedbythemapping.Allangularcoordinatesshouldbegivenindegrees.Youcanuseeithercoordinatesornodenumberstodefinethenewcoordinates
6、ystem,theaxisofrotationandtranslation,orthereferencepointusedforscaling.Themappingcapabilitycanbeusedseveraltimesinsuccessiononthesamenodes,ifrequired.ScalingthelocalcoordinatesbeforetheyaremappedForallmappingsexcepttheblendedquadraticmapping,youcanspecifyas
7、calingfactortobeappliedtothelocalcoordinatesbeforetheyaremapped.Thisfacilityisusefulfor“stretching”someofthecoordinatesthataregiven.Forexample,incaseswherethelocalsystemusessomeangularcoordinatesandsomedistancecoordinates(cylindrical,spherical,etc.),itmaybep
8、referabletogeneratethemeshinasystemthatusesdistancemeasuresintheangulardirectionsandthenscaleontotheangularcoordinatesystemforthemapping.Twodifferentscalingmethodsareavailable.Specifyingthescali