HyperView应力显示解释复习进程.docx

HyperView应力显示解释复习进程.docx

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HyperView应力显示解释复习进程

HyperView应力显示解释

NodalAveragingofElementalResults

Nodalaveragingofelementalresultsatanodereferstotheaverageofalltheelementcornerresultspassingthroughthatnode. 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。

SimpleAveraging

Simpleaveragingmeansthattensorandvectorcomponentsareextractedandtheinvariantsarecomputedpriortoaveraging. Forcomponents,thecorrespondingcomponentsfromeachelementcornerareextractedandthentheyareaveraged. Forinvariants,thecorrespondinginvariantsarecalculatedfromeachtensorattheelementcornersandthenaveraged.

Forexample,asshowninNodalAveragingofElementalResults,therearefourtensors,[A2],[B1],[C3],and[D4]atfourcornersatNode400.

TheaverageofthexxcomponentatNode400is

FortheaverageofaninvariantsuchasvonMises,thevonMisesvalueforalltensor[A2],[B1],[C3],and[D4]arecomputed,thentheyareaveragedasfollows:

Theaveragingmethodsforsolidelementsandshellelementsaredifferent. 

AdvancedAveraging

Advancedaveragingmeansthattensor（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:

Where

Thedifferencecalculationmethodsforsolidelementsandshellelementsaredifferent. 

cornerdata：

Ifcornerdataisavailable,theUsecornerdataoptionisenabled.  Ifyouactivatetheoption,HyperViewdisplayscolorbandsbyinterpolatingavailablecornerresultswithineachelement.  Adiscontinuityoftheresultdistributionacrosselementboundariescanbeseen.

variation

Therelativedifferenceatanodefromcorrespondingcornervalueswithrespecttothevaluerangefromallnodesintheselectedcomponents.

Ifthevariationintheresultsissmallerthanthespecifiedpercentage,HyperViewwillaveragethecornerresultstothenodes.  Ifthevariationislargerthanthespecifiedpercentage,HyperViewwillkeepthediscontinuityoftheresults.

ElementType

ReferenceSystem

ProjectionRule

Solid

Global

N/A

Allcorrespondingtensorsandvectorsaretransformedtotheglobalcoordinatesystemandthenacomponentorinvariantisaveragedasexplainedabove. 

Analysis

N/A

Allcorrespondingtensorsandvectorsareleftintheiroriginalcoordinatesystem（notransformationoccurs）andthenacomponentorinvariantisaveragedasexplainedabove. Inthiscase,eachparticipatingelementresultcanbeinadifferentsystem. Simpleaveragingforcomponentsignoresvariationsinsystems. Sinceinvariancedoesnotdependonthecoordinatesystem,allreferencesystemswillproducethesameresultsforinvariants.

Elemental

N/A

Allcorrespondingtensorsandvectorsaretransformedtotheelementalcoordinatesystemandthenacomponentorinvariantisaveragedasexplainedabove. Inthiscase,eachparticipatingelementresultcanalsobeinadifferentsystem. Simpleaveragingforcomponentsignoresvariationsinsystems. Sinceinvariancedoesnotdependonthecoordinatesystem,allreferencesystemswillproducethesameresultsforinvariants.

User-defined

N/A

Allcorrespondingtensorsandvectorsaretransformedtotheuser-definedcoordinatesystemandthenacomponentorinvariantisaveragedasexplainedabove. 

Shell

Global

ON

Allcorrespondingtensorsandvectorsaretransformedtotheprojectedsystem（followingtheprojectionrule）oftheparticipatingelementsandthenthecomponentorinvariantsareaveragedasexplainedabove.

Asaresult,evenifthereferencesystemisthesame,theprojectedsystemsinparticipatingelementscanbedifferent. Simpleaveragingforcomponentsignoresvariationsinsystems. 

OFF

Allcorrespondingtensorsandvectorsaretransformedtotheglobalcoordinatesystemandacomponentorinvariantisthenaveragedasexplainedabove.

Analysis

N/A

Allcorrespondingtensorsandvectorsareleftintheiroriginalcoordinatesystem（notransformationoccurs）andthenacomponentorinvariantisaveragedasexplainedabove. Inthiscase,eachparticipatingelementresultcouldbeinadifferentsystem.Simpleaveragingforcomponentsignoresvariationsinsystems. Sinceinvariancedoesnotdependonthecoordinatesystem,allreferencesystemswillproducethesameresultsforinvariants.

Elemental

N/A

Allcorrespondingtensorsandvectorsaretransformedtotheelementalcoordinatesystemandthenacomponentorinvariantisaveragedasexplainedabove. Inthiscase,eachparticipatingelementresultcouldalsobeinadifferentsystem. Simpleaveragingforcomponentsignoresvariationsinsystems. Sinceinvariancedoesnotdependonthecoordinatesystem,allreferencesystemswillproducethesameresultsforinvariants.

User-defined

ON

Allcorrespondingtensorsandvectorsaretransformedtotheprojectedsystem（followingtheprojectionrule）oftheparticipatingelementsandthenthecomponentorinvariantsareaveragedasexplainedabove.

Asaresult,evenifthereferencesystemisthesametheprojectedsystemsinparticipatingelementscanbedifferent. Simpleaveragingforcomponentsignoresvariationsinsystems. 

OFF

AllcorrespondingtensorsandvectorsaretransformedtotheUser-definedcoordinatesystemandacomponentorinvariantisthenaveragedasexplainedabove.

Validreferencecoordinatesystem:

All（Global,Analysis,Elemental,andUser-defined）