NodalAveragingofElementalResultsNodalaveragingofelementalresultsatanodereferstotheaverageofalltheelementcornerresultspassingthroughthatnode.Ifnocornerresultsareavailableforanelement,centroidalresultswillbeusedcalculatethenodalaverage.Intheexamplefigurebelow,fourelementsarepassingthroughNode400.TheaverageresultsatNode400isequalto:whenUsecornerdataisturnedon.whenUsecornerdataisturnedoff.NodalaveragingoptionsareselectedfromtheAveragingmethoddrop-downmenuontheContourandIsoValuepanels.Theoptionsare:•Simple•Advanced•Difference如果取none,就是对计算结果不进行光滑处理。如果取average,有simple,advanced等几种方法,其中simple和advance的结果差异非常小,difference的应力结果通常会比simple,advance的要大一些,一般使用simple就可以了。取平滑和不取平滑,应力结果差别比较大,但对位移结果没有什么影响。通常情况下,把应力结果进行光滑后,应力值会下降一些。在实际工作中,通常都是取光滑后的应力结果,这样的结果更接近结构的真实受力。SimpleAveragingSimpleaveragingmeansthattensorandvectorcomponentsareextractedandtheinvariantsarecomputedpriortoaveraging.Forcomponents,thecorrespondingcomponentsfromeachelementcornerareextractedandthentheyareaveraged.Forinvariants,thecorrespondinginvariantsarecalculatedfromeachtensorattheelementcornersandthenaveraged.Forexample,asshowninNodalAveragingofElementalResults,therearefourtensors,[A2],[B1],[C3],and[D4]atfourcornersatNode400.TheaverageofthexxcomponentatNode400isFortheaverageofaninvariantsuchasvonMises,thevonMisesvalueforalltensor[A2],[B1],[C3],and[D4]arecomputed,thentheyareaveragedasfollows:Theaveragingmethodsforsolidelementsandshellelementsaredifferent.AdvancedAveragingAdvancedaveragingmeansthattensor(orvector)resultsaretransformedintoaconsistentsystemandtheneachcomponentisaveragedseparatelytoobtainanaveragetensor(orvector).Theinvariantsarecalculatedfromthisaveragedtensor.Theconsistentsystemcanbetheglobalortheuser-definedsystemforsolidelements.Forshellelements,theconsistentsystemisthenodalprojectionsystem,whichistheprojectedglobaloruser-definedsystemonthenodalprojectionplane(describedintheProjectionrule).IntheexampleshowninNodalAveragingofElementalResults,theaveragedtensoratnode400is:Where,aretensorstransformedtothereferencesystemforcornersA2,B1,C3,andD4,respectively.Thecomponentsareextractedandtheinvariantsarecomputedfromthisaveragedtensororvector.Theaveragingmethodsforsolidelementsandshellelementsaredifferent.Thenodaldifferenceisthedifferencebetweenthemaximumandminimumcornerresultsatanode.Fortensor/vectorcomponents,thecorrespondingcomponentsfromeachelementcornerareextractedandthedifferenceiscalculated.Forinvariants,thecorrespondinginvariantsarecomputedfromeachelementcornerandthenthedifferenceiscalculated.Thesignofavalueisconsideredinthedifferencecalculation.Forexample,thedifferenceforthevalues,200,400,-100,and-500is900.IntheexampleshowninNodalAveragingofElementalResults,thenodaldifferenceoftensorcomponentxxatnode400is:WhereThedifferencecalculationmethodsforsolidelementsandshellelementsaredifferent.cornerdata:Ifcornerdataisavailable,theUsecornerdataoptionisenabled.Ifyouactivatetheoption,HyperViewdisplayscolorbandsbyinterpolatingavailablecornerresultswithineachelement.Adiscontinuityoftheresultdistributionacrosselementboundariescanbeseen.variationTherelativedifferenceatanodefromcorrespondingcornervalueswithrespecttothevaluerangefromallnodesintheselectedcomponents.Ifthevariationintheresultsissmallerthanthespecifiedpercentage,HyperViewwillaveragethecornerresultstothenodes.Ifthevariationislargerthanthespecifiedpercentage,HyperViewwillkeepthediscontinuityoftheresults.ElementTypeReferenceSystemProjectionRuleSolidGlobalN/AAllcorrespondingtensorsandvectorsaretransformedtotheglobalcoordinatesystemandthenacomponentorinvariantisaveragedasexplainedabove.AnalysisN/AAllcorrespondingtensorsandvectorsareleftintheiroriginalcoordinatesystem(notransformationoccurs)andthenacomponentorinvariantisaveragedasexplainedabove.Inthiscase,eachparticipatingelementresultcanbeinadifferentsystem.Simpleaveragingforcomponentsignoresvariationsinsystems.Sinceinvariancedoesnotdependonthecoordinatesystem,allreferencesystemswillproducethesameresultsforinvariants.ElementalN/AAllcorrespondingtensorsandvectorsaretransformedtotheelementalcoordinatesystemandthenacomponentorinvariantisaveragedasexplainedabove.Inthiscase,eachparticipatingelementresultcanalsobeinadifferentsystem.Simpleaveragingforcomponentsignoresvariationsinsystems.Sinceinvariancedoesnotdependonthecoordinatesystem,allreferencesystemswillproducethesameresultsforinvariants.User-definedN/AAllcorrespondingtensorsandvectorsaretransformedtotheuser-definedcoordinatesystemandthenacomponentorinvariantisaveragedasexplainedabove.ShellGlobalONAllcorrespondingtensorsandvectorsaretransformedtotheprojectedsystem(followingtheprojectionrule)oftheparticipatingelementsandthenthecomponentorinvariantsareaveragedasexplainedabove.Asaresult,evenifthereferencesystemisthesame,theprojectedsystemsinparticipatingelementscanbedifferent.Simpleaveragingforcomponentsignoresvariationsinsystems.OFFAllcorrespondingtensorsandvectorsaretransformedtotheglobalcoordinatesystemandacomponentorinvariantisthenaveragedasexplainedabove.AnalysisN/AAllcorrespondingtensorsandvectorsarel