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    COURSEWORK2

    BPILLAR

    RE

    DESIGN

    Submittedby:

    GurushishSinghGrover

    5331622

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    TableofContentsListofFigures.............................................................................................................................2

    Listof

    Tables

    ..............................................................................................................................

    3

    ExecutiveSummary...................................................................................................................4

    1. Introduction.......................................................................................................................5

    2. ProblemStatement...........................................................................................................6

    3. LiteratureReview..............................................................................................................7

    3.1.FiniteElementAnalysis(FEA):........................................................................................7

    3.2.LoadCaseStudy:.............................................................................................................8

    3.3.Meshing..........................................................................................................................9

    3.3.1.MeshingSize............................................................................................................9

    3.4.EuroNCAP....................................................................................................................10

    4.DesignModification.............................................................................................................11

    4.1.DesignParameters........................................................................................................11

    4.1.1.SecondMomentofArea.......................................................................................11

    4.1.2.Material.................................................................................................................12

    4.1.3.Weight...................................................................................................................12

    4.2.Design...........................................................................................................................12

    5.ModelAnalysis.....................................................................................................................13

    5.1.Procedure.....................................................................................................................13

    5.2.Analysis.........................................................................................................................14

    5.3.Discussion.....................................................................................................................14

    6.2DCADDrawings.................................................................................................................15

    7.ConclusionandRecommendation.......................................................................................19

    8.Bibliography.........................................................................................................................20

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    ListofFiguresFigure1:BPillarStructure(AltairEngineering).......................................................................5

    Figure2:

    Initial

    Analysis

    .............................................................................................................

    6

    Figure3:LoadCase....................................................................................................................8

    Figure4:SideCrashTest.........................................................................................................10

    Figure5:HatSection(Anoop,2009).......................................................................................11

    Figure6:Reinforcement..........................................................................................................12

    Figure7:Assembly...................................................................................................................13

    Figure8:VonMisesStressandDisplacementonAssembly...................................................14

    Figure9:BPillarDraft.............................................................................................................15

    Figure10:ReinforcementDraft...............................................................................................16

    Figure11:ExplodedDraft........................................................................................................17

    Figure12:AssemblyDraft.......................................................................................................18

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    ListofTablesTable1:MaterialRestrictions...................................................................................................6

    Table2:MeshResults................................................................................................................9

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    ExecutiveSummaryThereportisabouttheprojectforredesignoftheBpillarbyaddingreinforcement.The

    reportdealswiththedesignandanalysispartofthepillar.Itdiscussesvarioustoolsusedfor

    theanalysislikeVonMisesStresses,displacement,etc.Thereportexplainsthedetailsabout

    thecontentsrequiredforproperanalysisofthesystemlikeMeshsize,factorofsafety,etc.

    ExamplesofotherprojectssimilartotheBpillararealsodiscussed.Theprocedureofthe

    designingandanalysiswithrelevantfiguresareshowninthereport.Theforcesappliedon

    theBpillarandtheeffectonitandtheresultsarealsodiscussed.Thedifferentparameters

    thataffecttheperformanceandstrengthofthepillararealsocommented.

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    1. IntroductionTheBpillaristhestructurelocatedbetweenthefrontandreardoorsofthevehicle.Therole

    ofthepillarisnotonlytosupportthestructurebutitplaysvitalroleinsidecrashesandroll

    overs,helpinginlessdamagetothepeopleinsideit.StructureofBpillarisshowninfig.1

    Intheproject,Bpillarwasprovidedandtheobjectivewastostrengthenthepillarforthe

    safetyofthepassengers.Ouraimwastofirstanalysethegivenpillarandnotethestresses

    anditsdisplacementactingonitwiththehelpofforcesandafterthatredesignthepillarby

    addingreinforcementandthenanalysingitagaintodecreasethestressesandthe

    displacements.TheBpillartobedesignedwillhavetosustainsideimpactstaticloadof

    140KNinYdirection.

    Figure1:BPillarStructure(AltairEngineering)

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    2. ProblemStatementThematerialoftheBpillarwasgivenandallthepropertieslikedensity,yieldstrength,

    youngsmodulus,etc.forthematerialwasgiven. Theanalysisofthepillarwasperformed

    firsttocheckthestressesandtheinitialdisplacementofthepillarataforceof14KN.

    Figure2:InitialAnalysisThefigureaboveshowsthedisplacementandtheVonMisesstressontheBpillar.Thispillar

    neededtoberedesignedtodecreasethedisplacementandthestresswhosemaximumlimit

    weregiven.Thematerialforthereinforcementwasalsogivenwithitspropertieslike

    density,yieldstrength,etc.TablebelowshowsthedescriptionoftheBpillarand

    reinforcementsmaterialandmechanicalproperties.

    Component

    Maximu

    m

    Thickne

    ss(mm)

    Material

    Density

    (Kg/m3)

    Youngs

    Modulus

    (GPa)

    Yield

    Strength

    (MPa)

    Tensile

    Strength

    (MPa)

    Poisons

    ratio

    BPillar 1.4 CPSteel800/1000 7850 210 800 10000.3

    00

    Reinforcement 2.0 HighAlloySteel 7850 210 1500 17000.3

    00Table1:MaterialRestrictions

    Themaximum

    displacement

    allowed

    was

    40

    mm

    and

    maximum

    stress

    800MPa

    for

    the

    re

    designedBPillar.

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    3. LiteratureReview3.1.FiniteElementAnalysis(FEA):FiniteElementAnalysisisanumericalprocedureinwhichallthecomplicationsofthe

    problemaremaintainedsameandapproximatesolutionsareobtained.Displacementand

    stressareconsideredtobeimportantFieldVariablesofsolidmechanicsinFEA.(Gupta,

    2003).

    Inacontinuum,FieldVariablesareinfinite.Theseinfinitevariablesarereducedtofinite

    numberbydividingregionintoelementsandexpressingtheunknownfieldvariablesas

    approximatingfunctions.Theseapproximatingfunctionsarecallednodalpointsornodes.

    SotheunknownarethefieldvariablesofthenodesinFEA.

    Nextstepistoassembleelementpropertiesforeachelement.Forexample,mathematically

    wecanfindtherelationshipbetweenstiffnesscharacteristicsofeachindividualelement.

    [k]e{}e={F}e

    Where,

    [k]e=ElementStiffnessMatrix,

    {}e=NodalDisplacementVector,and

    {F}e=NodalForceVector

    Toassemblestructureproperty,elementpropertiesareused.Afterthisstep,theboundary

    conditionsaredefined.(Bhavikatti,2005)

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    3.2.LoadCaseStudy:TheloadsusedinthisprojectareSideImpactstaticloadswhichissimilartothecrashtest

    analysisbysafetyregulations.

    Theassemblyisfixedat18pointsi.e.9onupperandlowerendseachtoassumethatitis

    attachedtothevehicle.Aloadof140KNisappliedonthetopsurfaceofthepillarasshown

    infigurebelow.

    Figure3:LoadCase

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    3.3.MeshingAsignificantstepoftheFEAmethodismeshgeneration.Meshingistheprocessofdividinga

    givenbodyintosmallelements.Meshingcanbecharacterisedon3differenttypes:

    1.StructuredMesh

    2.UnstructuredMesh

    3.HybridMesh

    Structuredmeshisidentifiedbyregularconnectivity.Elementshavegeometricalproperties

    oforderedgrid.Theseareeasytocomputeandrequirelesstimeandmoreelements

    whereasunstructuredcontaintrigulationandquadtees ofpointsets.Hybridmeshis

    combinationalofstructuredandunstructuredmeshing.Thereisalsoamanualmeshtypes,

    knownasfreeandmappedmesh,wherethetypeofmeshismentionedbeforestartingthe

    analysis.(O.C.Zienkiewicz,2005).

    3.3.1.MeshingSize

    TheanalysisoftheinitialBpillarwascarriedoutwithdifferentmeshsizes,andrespective

    displacementsandthestresseswerenoted.Andameshsizewasselectedthatwouldbe

    appliedagainontheredesignedBPillar.Thetablebelowshowsallthereadingsbetween

    meshsizes215.Thehigherthemeshsize,thelesstimeittakestogetresultsoftheanalysis

    buttheaccuracyoftheresultdecreasesandviceversa.Sochosemeshsizeof5becauseits

    notfineandnottoolargeandtimeforanalysiswillnottaketoomuchtimeascomparedto

    meshsize2andtheaccuracywillbegood,ifcomparedwithhighermeshsize.

    Meshsize Displacement(mm) Stress(MPa)

    15 47.8 8.47*E03

    14 51.1 7.19*E03

    12 50.3 8.28*E03

    10 47.6 8.32*E03

    9 45.8 9.35*E03

    8 48.2 9.61*E03

    7 50.1 1.11*E04

    6 50.4 1.09*E04

    5 49.4 1.01*E04

    4 50.3 1.12*E04

    3 49.6 1.25*E04

    2 50.8 1.35*E04Table

    2:

    Mesh

    Results

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    3.4.EuroNCAPEuroNCAPistheEuropeannewcarassessmentprogrammewhichorganizescrashtestsand

    passesontheresultstotheownerofthevehiclewiththeassessmentofthesafety

    performanceofthevehicleforimpactsofthevehicleatrealisticinstanceforces.Thereare

    basicallytwoimpactassessmentsthatarecarriedout,1.Frontcrashtestand2.Sidecrash

    test.Figureofsidecrashtestisshownbelow.(EuroNCAp)

    Figure4:SideCrashTest

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    4.DesignModificationAfterapplyingforcesontheinitialBpillaranditsanalysis,itisobservedthatdisplacement

    ofthepillarismorethan40mmandthestressdistributionisnotuniform.Insomeareas,

    thestressismorethantheyieldstrengthofthepillarmaterial,sofactorofsafetycannotbe

    consideredfortheinitialpillar.So,toimprovethis,reinforcementshouldbeaddedtotheB

    pillartoreducethedisplacementandtohaveuniformstressdistributionwithmaximum

    stressbelow800Mpaonthepillar.

    4.1.DesignParameters

    4.1.1.SecondMomentofAreaSecondmomentofareaisdefinedasgeometricpropertyofaparticularareathatwillreflect

    howpointsonthisareaaredispersedonarandomaxis.Itisalsocalledasmomentofinertia

    onaplaneareaandareamomentofinertia.

    ThecrosssectionoftheBpillarcanbeconsideredashatsection,astheshapeisalmost

    similar.Stressdistributionacrosshatsectioncanbeseeninfigure5.

    Figure5:HatSection(Anoop,2009)Thesecondmomentofinertiaforhatsection:

    2 2

    3

    Ifwetrytominimizethedeflectionbyincreasingthethicknessofthesection,theweightwill

    increase.So

    the

    reinforcement

    plate

    with

    hat

    section

    is

    preferable.

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    4.1.2.Material

    Thestressesaredependentonthepropertiesofthematerial.Thedimensionalstructureof

    theBpillarcannotbechanged,soareinforcementofalightermaterialwithhighyield

    strengthisrequiredtosupportthepillar.SothematerialforthereinforcementisHighAlloy

    Steelthatisnormallyusedfortheseapplications.

    4.1.3.Weight

    ThemaximumweightallowedforredesigningoftheBPillaris5kgandtheweightofthe

    pillarwithoutreinforcementis2.4kg,sothereisalimitationofweightforthe

    reinforcement.Therefore,thereinforcementshouldbedesignedatplaceswherethe

    stressesaremaximum,sothestressdistributionwillbeuniformandthestructurewontfail.

    4.2.DesignThereinforcementisdesignedasarectangularmodelwhichwillbeweldedtotheB pillar.

    Thisreinforcementwillhelpinreducingthestressdistributiononthecentralsurfacesofthe

    Bpillarwherethestressconcentrationswillbehigh.TherewerenochangesmadetotheB

    pillar.Figure6showsthereinforcement.

    Figure6:Reinforcement

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    5.ModelAnalysis5.1.ProcedureThereinforcementisnowassembledwiththeBpillarandnowitisreadyfortheanalysis.

    ThisassemblyisnowtransferredtoGenerativeStructuralAnalysis.Materialsspecifiedinthe

    projectdefinitionaredefinedtothebpillarandthereinforcement.Theanalysisforthe

    resignedpillarissameastheearlieronei.e.triangularmeshwithparabolicelementis

    appliedontheelementsoftheassembly.

    Propertiesofthematerialsaredefinedtotheassembly.Thethicknessofthereinforcement

    isgivenas2mmthatwasthemaximumlimitallowedfordesigningthereinforcement.Line

    contactisusedfortheconnectionsoftheassemblyastherewasnopointcontactbetween

    thesurfaces.Seamweldingusedtojointhesurfacesofthepillarandreinforcementby

    bindingtechnique.Alltherestraintswerefirstappliedontheassemblyasearlierandthen

    theforceswereapplied.Figure7showstheassemblyoftheBpillarandthereinforcement.

    Figure7:Assembly

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    5.2.AnalysisRedesigningtheBpillarwithreinforcementreducedthedisplacementofthepillarbyagreat

    value.Thedisplacementofthepillarreducedfrom50mmtoalmost22mm.Thestresseson

    theassembly

    have

    also

    reduced

    alot

    but

    at

    the

    curves

    and

    the

    end

    of

    the

    bpillar

    there

    are

    stillsomehighstressareas.

    Figure8showstheVonMisesStressanddisplacementoftheredesignedBpillar.

    Figure8:

    Von

    Mises

    Stress

    and

    Displacement

    on

    Assembly

    5.3.DiscussionLighterandstrongermateriallikecarbonsteelcanbeusedtoreinforce,sothatwilldecrease

    theweightwhileincreasingthestrengthofpillar.Andthereinforcementcanalsobegivento

    theedgesofthepillar,sotherewillbenohighstresspointsinthestructure.

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    7.ConclusionandRecommendationAlltheanalysishasbeendoneandtheresultswererecorded.Buttheproblemwiththe

    stressdistributionstillnotsolvedneartheendsofthepillars.Learntsomenewtechniques

    fortheanalysisinCATIA.

    Istillrecommendchangingthematerial,whichwillaffecttheanalysisandreducethe

    stressesandthedisplacement.Andtherewillbelessornopointsoffailureordistributionof

    stresseswillbeeven.

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    8.Bibliography

    AltairEngineering.(n.d.).Retrieved2009,from

    http://altairatc.com/europe/Presentations_2009/Session_15/VOLKSWAGEN_

    091104_VWAG_EHTC2009.pdf

    Anoop,C.(2009).FundamentalsandPreliminarysizingofsectionsandjoints.Delhi.

    Bhavikatti,S.S.(2005).FiniteElementAnalysis.NewAgeInternational.

    EuroNCAp.(n.d.).Retrievedfromhttp://www.euroncap.com/about.aspx

    Gupta,K.(2003).FiniteElementMultidisciplinaryAnalysis.AIAA.

    O.C.Zienkiewicz,R.T.(2005).TheFiniteElementmethod:ItsBasisand

    Fundamentals.ElsevierButterworthHeinemann.