英文原文.pdf_第1页
英文原文.pdf_第2页
英文原文.pdf_第3页
英文原文.pdf_第4页
英文原文.pdf_第5页
已阅读5页，还剩1页未读， 继续免费阅读

下载本文档

版权说明：本文档由用户提供并上传，收益归属内容提供方，若内容存在侵权，请进行举报或认领

文档简介

JOURNALOFMATERIALSPROCESSINGTECHNOLOGY1402003616621EFFICIENCYENHANCEMENTINSHEETMETALFORMINGANALYSISWITHAMESHREGULARIZATIONMETHODJHYOON,HHUHDEPARTMENTOFMECHANICALENGINEERING,KOREAADVANCEDINSTITUTEOFSCIENCEANDTECHNOLOGYSCIENCETOWN,DAEJEON305701,SOUTHKOREAABSTRACTTHISPAPERNEWLYPROPOSESAMESHREGULARIZATIONMETHODFORTHEENHANCEMENTOFTHEEFFICIENCYINSHEETMETALFORMINGANALYSISTHEREGULARIZATIONMETHODSEARCHESFORDISTORTEDELEMENTSWITHAPPROPRIATESEARCHINGCRITERIAANDCONSTRUCTSPATCHESINCLUDINGTHEELEMENTSTOBEMODIFIEDEACHPATCHISTHENEXTENDEDTOATHREEDIMENSIONALSURFACEINORDERTOOBTAINTHEINFORMATIONOFTHECONTINUOUSCOORDINATESINCONSTRUCTINGTHESURFACEENCLOSINGEACHPATCH,NURBSNONUNIFORMRATIONALBSPLINESURFACEISEMPLOYEDTODESCRIBEATHREEDIMENSIONALFREESURFACEONTHEBASISOFTHECONSTRUCTEDSURFACE,EACHNODEISPROPERLYARRANGEDTOFORMUNITELEMENTSASCLOSEASTOASQUARETHESTATEVARIABLESCALCULATEDFROMITSORIGINALMESHGEOMETRYAREMAPPEDINTOTHENEWMESHGEOMETRYFORTHENEXTSTAGEORINCREMENTALSTEPOFAFORMINGANALYSISTHEANALYSISRESULTSWITHTHEPROPOSEDMETHODARECOMPAREDTOTHERESULTSFROMTHEDIRECTFORMINGANALYSISWITHOUTMESHREGULARIZATIONINORDERTOCONFIRMTHEVALIDITYOFTHEMETHOD2003ELSEVIERBVALLRIGHTSRESERVEDKEYWORDSMESHREGULARIZATIONDISTORTEDELEMENTNURBSPATCHFINITEELEMENTANALYSIS1INTRODUCTIONNUMERICALSIMULATIONOFSHEETMETALFORMINGPROCESSESENJOYSITSPROSPERITYWITHABURSTOFDEVELOPMENTOFTHECOMPUTERSANDTHERELATEDNUMERICALTECHNIQUESTHENUMERICALANALYSISHASEXTENDEDITSCAPABILITIESFORSHEETMETALFORMINGOFCOMPLICATEDGEOMETRYMODELSANDMULTISTAGEFORMINGINTHECASEOFACOMPLICATEDGEOMETRYMODEL,HOWEVER,SEVERELOCALDEFORMATIONOCCURSTOINDUCETHEINCREASEOFTHECOMPUTINGTIMEANDDETERIORATETHECONVERGENCEOFTHEANALYSISDISTORTIONANDSEVEREDEFORMATIONOFTHEMESHGEOMETRYHASANEFFECTONTHEQUALITYOFFORMINGANALYSISRESULTSESPECIALLYINTHECASEOFMULTISTAGEFORMINGANALYSISWHENTHEMESHGEOMETRYFORMEDBYTHEFORMINGANALYSISATTHEFIRSTSTAGEISUSEDFORTHEFORMINGANALYSISATTHENEXTSTAGETHISILLBEHAVIOROFTHEDISTORTEDMESHCANBEAVOIDEDBYTHERECONSTRUCTIONOFTHEMESHSYSTEMSUCHASTHETOTALORTHEADAPTIVEREMESHINGTECHNIQUESTHEADAPTIVEREMESHINGTECHNIQUEISKNOWNTOBEANEFFICIENTMETHODTOREDUCEDISTORTIONOFELEMENTDURINGTHESIMULATION,BUTITSTILLNEEDSTREMENDOUSCOMPUTINGANDPUTSRESTRICTIONSAMONGSUBDIVIDEDELEMENTSCORRESPONDINGAUTHORTEL82428693222FAX82428693210EMAILADDRESSHHUHKAISTACKRHHUHEFFECTIVEMETHODSTOCONSTRUCTAMESHSYSTEMHAVEBEENPROPOSEDBYMANYRESEARCHERSTYPICALMETHODSCOULDBERMETHOD1INWHICHNODALPOINTSAREPROPERLYREARRANGEDWITHOUTTHECHANGEOFTHETOTALDEGREESOFFREEDOMOFTHEMESHSYSTEM,HMETHOD2INWHICHTHENUMBEROFMESHESISINCREASEDWITHELEMENTSOFTHESAMEDEGREESOFFREEDOM,ANDPMETHOD3INWHICHTHETOTALDEGREESOFFREEDOMOFTHEMESHSYSTEMISINCREASEDTOENHANCETHEACCURACYOFSOLUTIONSSLUITERANDHANSEN4ANDTALBERTANDPARKINSON5CONSTRUCTEDTHEANALYSISDOMAINASACONTINUOUSLOOPANDCREATEDELEMENTSINSUBLOOPSDIVIDEDFROMTHEMAINLOOPLO6CONSTRUCTEDTRIANGULARELEMENTSINTHEWHOLEDOMAINANDTHENCONSTRUCTEDRECTANGULARELEMENTSBYCOMBININGADJACENTTRIANGULARELEMENTSINTHISPAPER,AMESHREGULARIZATIONMETHODISNEWLYPROPOSEDINORDERTOENHANCETHEEFFICIENCYOFFINITEELEMENTANALYSESOFSHEETMETALFORMINGTHEMESHREGULARIZATIONMETHODAUTOMATICALLYFINDSOUTDISTORTEDELEMENTSWITHSEARCHINGCRITERIAPROPOSEDANDCOMPOSESPATCHESTOBEMODIFIEDEACHPATCHISTHENEXTENDEDTOTHREEDIMENSIONALSURFACESINORDERTOOBTAINTHEINFORMATIONOFTHECONTINUOUSCOORDINATESONTHETHREEDIMENSIONALSURFACETHESURFACEENCLOSINGEACHPATCHISDESCRIBEDASATHREEDIMENSIONALFREESURFACEWITHTHEUSEOFNURBSNONUNIFORMRATIONALBSPLINEONTHEBASISOFTHECONSTRUCTEDSURFACE,EACHNODEISPROPERLYARRANGEDTOCOMPOSEREGULARELEMENTSCLOSETOASQUARETHESTATEVARIABLESCALCULATEDFROMITSORIGINALMESH09240136/SEEFRONTMATTER2003ELSEVIERBVALLRIGHTSRESERVEDDOI101016/S092401360300801XJHYOON,HHUH/JOURNALOFMATERIALSPROCESSINGTECHNOLOGY1402003616621617GEOMETRYAREMAPPEDINTOTHENEWMESHGEOMETRYFORTHEFORMINGANALYSISATTHENEXTSTAGENUMERICALRESULTSCONFIRMTHEEFFICIENCYOFTHEPROPOSEDMETHODANDTHEACCURACYOFTHERESULTITISALSONOTEDTHATTHEPRESENTMETHODISEFFECTIVEINTHECRASHANALYSESOFSHEETMETALMEMBERSOBTAINEDFROMTHEFORMINGSIMULATION2REGULARIZATIONOFTHEDISTORTEDELEMENTTHEREGULARIZATIONPROCEDURETOMODIFYDISTORTEDELEMENTSISINTRODUCEDINORDERTOENHANCETHEEFFICIENCYOFANALYSISFORTHENEXTFINITEELEMENTCALCULATIONTHEDISTORTEDELEMENTSARESELECTEDWITHAPPROPRIATESEARCHINGCRITERIAANDALLOCATEDTOSEVERALPATCHESFORREGULARIZATIONTHEPATCHESAREEXTENDEDTOTHREEDIMENSIONALSURFACESWITHTHEUSEOFNURBSFORFULLINFORMATIONOFTHECONTINUOUSCOORDINATESONTHETHREEDIMENSIONALSURFACEONOBTAININGTHENEWCOORDINATESOFEACHNODE,THEDISTORTEDELEMENTSAREREGULARIZEDTOAREGULARELEMENTTHATISCLOSETOASQUARE21THECRITERIONOFMESHDISTORTIONDISTORTEDMESHESARESELECTEDWITHTHETWOGEOMETRICALCRITERIAONEISTHEINNERANGLEANDTHEOTHERISTHEASPECTRATIOOFTHEELEMENTSIDE211INNERANGLETHEINNERANGLEOFAQUADRILATERALELEMENTSHOULDBECLOSETOTHERIGHTANGLEFORGOODRESULTSFROMFINITEELEMENTCALCULATIONZHUETAL7DEFINEDTHEREASONABLEELEMENTWHENTHEFOURINNERANGLESAREFORMEDWITHTHEANGLEOF9045WHILELOANDLEE8PROPOSEDTHEINNERANGLEOF90525ASTHESAMECRITERIONTHECRITERIONOFMESHDISTORTIONFORTHEINNERANGLEISDETERMINEDBYCONSTITUTINGEQ1AMESHISREGARDEDASDISTORTEDWHENEQ1ISLESSTHAN/3ORIMAXINEQ39ISGREATERTHAN/6THECRITERIONISRATHERSTRICTINORDERTOAVOIDTHEGEOMETRICALLIMITATIONINCASEOFAPPLYINGTHEREGULARIZATIONMETHODINCONFINEDREGIONSVECTORFQ1E12E23E34E41|VECTORFQ|RADICALTPRADICALVERTEXRADICALVERTEXRADICALBT4SUMMATIONDISPLAYI1I22IVEXTENDSINGLEVEXTENDSINGLEVEXTENDSINGLE12IVEXTENDSINGLEVEXTENDSINGLEVEXTENDSINGLE3212ASPECTRATIOOFTHEELEMENTTHEIDEALASPECTRATIOOFTHEELEMENTSIDESHOULDBEUNITYWHENTHEFOURSIDESOFANELEMENTHAVETHESAMELENGTHTHEASPECTRATIOISDEFINEDASEQ4ANDTHENTHEDISTORTIONISDEFINEDWHENITISLESSTHAN5THATCOULDBEMUCHLESSFORASTRICTCRITERIONMAXR12,R23,R34,R41MINR12,R23,R34,R414WHERERIJISTHELENGTHOFEACHELEMENTSIDEFIG1PROCESSFORCONSTRUCTIONOFAPATCH22DOMAINCONSTRUCTION221CONSTRUCTIONOFTHEPATCHDISTORTEDELEMENTSSELECTEDBYTHECRITERIAOFMESHDISTORTIONAREDISTRIBUTEDINVARIOUSREGIONSACCORDINGTOTHECOMPLEXITYOFTHESHAPEOFFORMEDGEOMETRYTHESEELEMENTSAREALLOCATEDTOPATCHESCONSTRUCTEDFORTHEEFFICIENCYOFTHEALGORITHMTHESHAPEOFPATCHESISMADEUPFORRECTANGULARSHAPESINCLUDINGALLDISTORTEDELEMENTSFOREXPANDINGTHEREGIONOFREGULARIZATIONANDAPPLYINGTONURBSSURFACEEXPLAINEDINNEXTSECTIONTHISPROCEDUREISSHOWNINFIG1WHENHOLESANDEDGESARELOCATEDBETWEENDISTORTEDELEMENTS,THEREGIONSAREFILLEDUPTOMAKEPATCHESARECTANGULARSHAPETHEPATCHISTHENMAPPEDTOATHREEDIMENSIONALFREESURFACEBYUSINGNURBSSURFACETHEPROCEDUREISIMPORTANTTOOBTAINENTIREINFORMATIONOFTHECONTINUOUSCOORDINATESONTHETHREEDIMENSIONALSURFACENURBSSURFACECANDESCRIBETHECOMPLEXSHAPEQUICKLYBYUSINGLESSDATAPOINTSANDDOESNOTCHANGETHEENTIREDOMAINDATADUETOTHELOCALCHANGE222NURBSSURFACENURBSSURFACEISGENERALLYEXPRESSEDBYEQ5ASTHEPORDERINTHEUDIRECTIONANDTHEQORDERINTHEVDIRECTION10SU,VSUMMATIONTEXTNI0SUMMATIONTEXTMJ0NI,PUNJ,QVWI,JPI,JSUMMATIONTEXTNI0SUMMATIONTEXTMJ0NI,PUNJ,QVWI,J5WHEREPI,JISTHECONTROLPOINTSASTHEU,VDIRECTION,WI,JTHEWEIGHTFACTORANDNU,PU,NJ,QUTHEBASISFUNCTIONTHATAREEXPRESSEDBYEQ6NI,0BRACELEFTBIGG1IFUIUUI1,0OTHERWISE,NI,PUUUIUIPUINI,PUUIP1UUIP1UI1NI1,P1U6INORDERTOMAPTHENODESFROMTHEPATCHESONTOTHECONSTRUCTEDSURFACE,ANUMBEROFPOINTSARECREATEDFORTHEIRCOORDINATESONTHENURBSSURFACETHELOCATIONOFEACH618JHYOON,HHUH/JOURNALOFMATERIALSPROCESSINGTECHNOLOGY1402003616621FIG2SELECTINGDIRECTIONOFDISTORTEDELEMENTSMOVINGNODEBYAPPLYINGAREGULARIZATIONMETHODISDETERMINEDSUCHTHATTHELOCATIONOFAPOINTHASTHEMINIMUMDISTANCEBETWEENNODESONNURBSSURFACETHEINFORMATIONONTHECOORDINATESOFTHENODALPOINTSTOBEMOVEDISSTOREDTOCONSTRUCTANEWMESHSYSTEM23REGULARIZATIONPROCEDURETHEREGULARIZATIONMETHODISCARRIEDOUTWITHTHEUNITOFAPATCHTHATFORMSARECTANGULARSHAPEFINITEELEMENTSTOBEREGULARIZEDISSELECTEDBYTHEORDEROFFIG2EACHSELECTEDELEMENTISDIVIDEDBYTWOTRIANGULARELEMENTSANDTHENTHEDIVIDEDELEMENTISMADEOFARIGHTTRIANGULARELEMENTBYRELOCATINGTHEVERTEXONTHECIRCLEHAVINGTHEDIAMETERFROMVECTORX1TOVECTORX2ASSHOWNINEQ7ANDFIG3WHENTHEPROCEDURETERMINATES,THESAMEPROCEDUREISREPEATEDINTHEOPPOSITEDIRECTIONVECTORX1VECTORX22VECTORXCEN,|VECTORX1VECTORX2|2R,VECTORXCURVECTORXCENVECTORXDIR,VECTORXNEWVECTORXDIR|VECTORXDIR|RFACTORVECTORXCEN7THEFINALLOCATIONOFANODERELOCATEDBYUSINGTHEREGULARIZATIONMETHODISSUBSTITUTEDFORTHELOCATIONOFAPOINTONNURBSSURFACEAFTERTHEREGULARIZATIONPROCEDUREISFINISHED,ASIMPLESOOTHINGPROCEDUREISCARRIEDOUTBYEQ8FORTHEROUGHREGIONGENERATEDDURINGTHEFIG3REGULARIZATIONSCHEMEBYMOVINGNODESPROCEDUREPNSUMMATIONTEXTNI1AICISUMMATIONTEXTNI1AI8WHEREPNISTHECOORDINATEOFANEWNODE,AITHEAREASOFADJACENTELEMENTSANDCITHECENTROIDOFTHEADJACENTELEMENTS24LEVELOFDISTORTIONASADISTORTIONFACTOR,LEVELOFDISTORTIONLDISNEWLYPROPOSEDLDCANBEUSEDTOEVALUATETHEDEGREEOFIMPROVEMENTINTHEELEMENTQUALITYLDAB9WHEREASUMMATIONTEXT4I1|SINI|4,BTANHPARENLEFTBIGKBPRIMEPARENRIGHTBIG10BPRIMEMINR12,R23,R34,R41MAXR12,R23,R34,R41,KTANH111LDHASTHEVALUEBETWEEN0AND1WHENLD1,THEELEMENTISANIDEALELEMENTOFASQUAREANDWHENLD0,THEQUADRILATERALELEMENTBECOMESATRIANGULARELEMENTIARETHEFOURINNERANGLESOFANELEMENT,SOAISTHEFACTORFORTHEINNERANGLEBISTHEFACTORFORTHEASPECTRATIOOFELEMENTSIDESANDISDEFINEDBYTHEHYPERBOLICTANGENTFUNCTIONINORDERTOMAKELDLESSSENSITIVETOTHECHANGEOFBFOREXAMPLE,WHENTHEREASONABLEASPECTRATIOOFTHEELEMENTSIDEIS14,THEVALUEOFBCANBEADJUSTEDBYAPPLYING025AND06SUCHTHATTHESLOPEOFTHEFUNCTIONBISCHANGEDABRUPTLYAROUNDTHEVALUEOFBPRIME025CONSEQUENTLY,THEVALUEOFLDDECREASESRAPIDLYWHENTHEASPECTRATIOBPRIMEISLESSTHAN025WHILETHEVALUEOFLDINCREASESSLOWLYWHENTHEBPRIMEISGREATERTHAN025THISSCHEMECANREGULATETHEINNERANGLEANDTHEASPECTRATIOTOHAVETHEEQUALEFFECTONTHELD25MAPPINGOFTHESTATEVARIABLESWHENTHEREGULARIZEDMESHSYSTEMISUSEDFORTHENEXTCALCULATIONOFTHEFORMINGANALYSISORTHESTRUCTURALANALYSIS,MAPPINGOFTHESTATEVARIABLESISNEEDEDFORMOREACCURATEANALYSISCONSIDERINGTHEPREVIOUSFORMINGHISTORYTHEMAPPINGPROCEDUREISTOMAPTHECALCULATEDSTATEVARIABLESINTHEORIGINALMESHSYSTEMONTOTHEREGULARIZEDMESHSYSTEMASSHOWNINFIG4,ASPHEREISCONSTRUCTEDSURROUNDINGANEWNODESUCHTHATTHESTATEVARIABLESOFNODESINTHESPHEREHAVEANEFFECTONTHESTATEVARIABLESOFTHENEWNODETHESTATEVARIABLESOFTHENEWNODEAREDETERMINEDFROMTHESTATEVARIABLESOFTHENEIGHBORINGNODESINTHESPHEREBYIMPOSINGTHEWEIGHTINGFACTORINVERSELYPROPORTIONALTOTHEDISTANCEBETWEENTHETWONODESASSHOWNINEQ12VCSUMMATIONTEXTMJ1VJ/RJSUMMATIONTEXTMI11/RI12JHYOON,HHUH/JOURNALOFMATERIALSPROCESSINGTECHNOLOGY1402003616621619FIG4CONTROLSPHEREFORMAPPINGOFTHESTATEVARIABLESWHEREVJISTHESTATEVARIABLECALCULATEDONTHEORIGINALMESHSYSTEM,ANDRJTHEDISTANCEBETWEENTHENEWNODEANDTHENEIGHBORINGNODES3NUMERICALEXAMPLES31FORMINGANALYSISOFANOILPANWHILEOILPANSAREUSUALLYFABRICATEDWITHATWOSTAGEPROCESSINTHEPRESSSHOP,THEPRESENTANALYSISISCARRIEDOUTWITHASINGLESTAGEPROCESSASSHOWNINFIG5THATDESCRIBESTHEPUNCHANDDIESETTHEREGULARIZATIONMETHODCANBEAPPLIEDTOTHEFINITEELEMENTMESHSYSTEMWHENEVERNEEDEDFORENHANCEMENTOFTHECOMPUTATIONEFFICIENCYINTHISEXAMPLEFORDEMONSTRATION,THEMETHODISAPPLIEDTOTHEANALYSISOFOILPANFORMINGATTWOFORMINGINTERVALSFORREGULARIZATIONOFDISTORTEDMESHESASDIRECTEDINFIG6FIG7EXPLAINSTHEPROCEDUREOFTHEREGULARIZATIONMETHODFIG7ASHOWSTHEDEFORMEDSHAPEATTHEPUNCHSTROKEOFFIG5PUNCHANDDIESETFOROILPANFORMING60FORMING6080FORMING100FORMINGREGULARIZATIONREGULARIZATIONFIG6APPLYINGTHEREGULARIZATIONMETHODTOTHEFORMINGANALYSISFIG7PROCEDUREOFREGULARIZATIONASEARCHINGDISTORTEDELEMENTSBCONSTRUCTINGPATCHESFORDISTORTEDELEMENTSCREGULARIZATIONOFDISTORTEDELEMENTS60ANDTHREEPARTSOFMESHDISTORTIONBYTHEFORMINGPROCEDUREITINDICATESTHATTHENUMBEROFPATCHESTOBECONSTRUCTEDIS3DISTORTEDMESHESARESELECTEDACCORDINGTOTHETWOGEOMETRICALCRITERIAFORMESHDISTORTIONANDTHENTHEPATCHESOFARECTANGULARSHAPEAREFORMEDTOINCLUDEALLDISTORTEDELEMENTSASSHOWNINFIG7BFINALLY,THEELEMENTSINTHEPATCHESAREREGULARIZEDASSHOWNINFIG7CINORDERTOEVALUATETHEDEGREEOFIMPROVEMENTINTHEELEMENTQUALITYAFTERAPPLYINGTHEREGULARIZATIONMETHOD,THEVALUEOFLDFORTHEREGULARIZEDMESHSYSTEMISCOMPAREDTHEONEFORTHEORIGINALMESHSYSTEMTHELDVALUESFORTHEREGULARIZEDMESHSYSTEMHAVEUNIFORMDISTRIBUTIONTHROUGHOUTTHEELEMENTSWHILETHOSEFORTHEORIGINALMESHSYSTEMHAVEWIDEVARIATIONASSHOWNINFIG8ITMEANSTHATTHEQUALITYOFTHEREGULARIZEDMESHSYSTEMISENHANCEDWITHTHESAMELEVELDISTORTIONCONSEQUENTLY,EXPLICITFINITEELEMENTCOMPUTATIONWITHTHEREGULARIZEDMESHSYSTEMCANBEPRECEDEDWITHALARGERINCREMENTALTIMESTEPASSHOWNINFIG9INTHISANALYSISOFOILPANFORMING,THECOMPUTINGTIMEWITHTHEREGULARIZEDMESHSYSTEMISREDUCEDABOUT12EVENAFTERTWOTIMESOFREGULARIZATIONTHEAMOUNTOFREDUCTIONINTHECOMPUTINGTIMECANBEINCREASEDWITHMOREFREQUENTREGULARIZATION32CRASHANALYSISOFAFRONTSIDEMEMBERTHECRASHANALYSISISUSUALLYCARRIEDOUTWITHOUTCONSIDERINGTHEFORMINGEFFECTANDADOPTSTHEMESHSYSTEMAPARTFORMTHEFORMINGANALYSISINCASETHATTHEFORMINGEFFECTISCONSIDEREDTOIMPROVETHEACCURACYANDRELIABILITYOFTHEANALYSISRESULTS,THEMESHSYSTEMFORTHEFORMINGANALYSISCOULDBEDIRECTLYUSEDINTHECRASHANALYSISFORTHEEFFICIENCYOFTHEANALYSISTHEMESHSYSTEMAFTERTHEFORMINGANALYSIS,620JHYOON,HHUH/JOURNALOFMATERIALSPROCESSINGTECHNOLOGY1402003616621204060801001201401601800002040608LEVELOFDISTORTIONELEMENTNUMBER204060801001201401601800002040608LEVELOFDISTORTIONELEMENTNUMBERABFIG8COMPARISONOFLDAORIGINALMESHBREGULARIZEDMESHHOWEVER,HASTOOMANYDISTORTEDMESHESDUETOSEVEREDEFORMATIONANDDISTORTIONBEUSEDDIRECTLYINTHECRASHANALYSISWITHOUTREMESHINGONEREMEDYISTOCONSTRUCTANEWMESHSYSTEMANDTHEOTHERISTOMODIFYTHEMESHSYSTEMAFTERTHEFORMINGANALYSISTHELATTERCANBEVERYEFFICIENTIFTHEREMESHINGPROCESSISSUCCESSFULLYCARRIEDOUTFORANEFFICIENTREMESHINGPROCESS,THEREGULARIZATIONMETHODCANBEAPPLIEDTOTRANSFORMDISTORTEDMESHESINTOANEARSQUAREINTHISEXAMPLE,APARTOFTHEFRONTSIDEMEMBER,NAMEDFRONTREINFORCEMENT,INFIG10ISSELECTEDFORTHECRASHANALYSISTHEIRREGULARFINITEELEMENTSINTHELOCALDISTORTEDREGIONOFTHEMEMBERAFTERFORMINGANALYSISAREMODIFIEDTOAREGULARELEMENTUSINGTHEREGULARIZATIONMETHODASSHOWNINFIG11ANDTHENTHEREGULARIZEDMESHSYSTEMISUSEDINTHECRASHANALYSISTHEANALYSISCONDITIONISDEPICTEDINFIG12THECRASHANALYSISWITHTHEREGULARIZEDMESHSYSTEMCOULDBECARRIEDOUTWITHALAGERTIMESTEPASSHOWNINFIG13WITHOUTSACRIFICINGTHEACCURACYOFTHEANALYSISRESULTTHECOMPUTINGTIMEFORTHECRASHANALYSISWASREDUCEDBY40OFTHETIMEWITHTHEORIGINALMESHSYSTEMTHEANALYSISRESULTWASENCOURAGINGINBOTHTHECOMPUTINGTIMEANDTHEACCURACYOFTHECOMPUTATIONRESULTANDPROVEDTHATTHEREGULARIZEDMESHSYSTEMCOULDBEUSEDEFFECTIVELYTOENHANCETHEEFFICIENCYOFTHENUMERICALANALYSISFIG9COMPARISONOFTHETIMESTEPSIZEWITHRESPECTTOTHEPUNCHSTROKEFIG10ASSEMBLYOFAFRONTSIDEMEMBERFIG11REGULARIZATIONOFAFRONTREINFORCEMENTFIG12CONDITIONOFTHEIMPACTANALYSISJHYOON,HHUH/JOURNALOFMATERIALSPROCESSINGTECHNOLOGY1402003616621621FIG13COMPARISONOFTHETIMESTEPSIZEBETWEENTHEORIGINALANDREGULARIZEDMESHSYSTEM4CONCLUSIONAMESHREGULARIZATIONMETHODISNEWLYPROPOSEDINORDERTOENHANCETHEEFFICIENCYOFFINITEELEMENTANALYSESOFSHEETMETALFORMINGMESHESINTHESHEETMETALFORMINGANALYSISAREDISTOR
人人文库> 全部分类> 教育资料 > 幼儿教育

温馨提示

  • 1. 本站所有资源如无特殊说明，都需要本地电脑安装OFFICE2007和PDF阅读器。图纸软件为CAD,CAXA,PROE,UG,SolidWorks等.压缩文件请下载最新的WinRAR软件解压。
  • 2. 本站的文档不包含任何第三方提供的附件图纸等，如果需要附件，请联系上传者。文件的所有权益归上传用户所有。
  • 3. 本站RAR压缩包中若带图纸，网页内容里面会有图纸预览，若没有图纸预览就没有图纸。
  • 4. 未经权益所有人同意不得将文件中的内容挪作商业或盈利用途。
  • 5. 人人文库网仅提供信息存储空间，仅对用户上传内容的表现方式做保护处理，对用户上传分享的文档内容本身不做任何修改或编辑，并不能对任何下载内容负责。
  • 6. 下载文件中如有侵权或不适当内容，请与我们联系，我们立即纠正。
  • 7. 本站不保证下载资源的准确性、安全性和完整性, 同时也不承担用户因使用这些下载资源对自己和他人造成任何形式的伤害或损失。

最新文档

评论

0/150

提交评论