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DESCRIPTION
Description on report of CatiaTRANSCRIPT
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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.