blanchet_tall_buildings_wind_tunnel.pdf

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    Tall Building AnalysisTall Building Analysis

    in GT STRUDL forin GT STRUDL for

    Wind Tunnel StudiesWind Tunnel Studies

    Craig D. Blanchet, P.E.Craig D. Blanchet, P.E.

    AssociateAssociate

    LeMessurier ConsultantsLeMessurier Consultants

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    OutlineOutline

    Wind Related Issues for Tall BuildingsWind Related Issues for Tall Buildings

    Wind Tunnel StudiesWind Tunnel Studies Goals & MethodsGoals & Methods

    Modeling & Analysis ConsiderationsModeling & Analysis Considerations

    Boston Theatre District HotelBoston Theatre District Hotel

    GT STRUDL v29GT STRUDL v29

    My GT STRUDL Wish ListMy GT STRUDL Wish List

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    Wind & Tall BuildingsWind & Tall Buildings

    Important Design ConsiderationsImportant Design Considerations

    1.1. StrengthStrength MainMain WindWind ForceForce ResistingResisting SystemSystem

    2.2. StiffnessStiffness

    DriftDrift

    DynamicDynamic ResponseResponse

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    StrengthStrength

    uF

    )oror(5.06.12.1 RSLLWD r++++++++++++====

    )0.8or()oror(6.12.1 WLRSLD r ++++++++====

    HWD 6.16.19.0 ++++++++====

    nu MM nu PP nu VV

    0.12

    23

    2

    121 ++++++++

    n

    u

    n

    u

    n

    u

    M

    M

    M

    M

    P

    P

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    StiffnessStiffness

    sec/story0.18.0 =

    T

    BW

    H

    BH

    ave

    Equation relating driftEquation relating driftto period. Proposed byto period. Proposed byWilliam J. LeMessurier.William J. LeMessurier.

    Target period basedTarget period basedon past experience.on past experience.

    = Building Density (lbs/ft= Building Density (lbs/ft33))

    BB = Building Width (ft)= Building Width (ft)

    HH = Building Height (ft)= Building Height (ft)

    = Top Displacement (ft)= Top Displacement (ft)

    WWaveave = Average Wind Pressure (lbs/ft= Average Wind Pressure (lbs/ft22

    ))

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    StiffnessStiffness Dynamic ResponseDynamic Response

    VortexVortex SheddingShedding

    DrDr.. TheodoreTheodore vonvon KarmenKarmenWhenWhen windwind passespasses aroundaround aa bluffbluff bodybody

    areare shedshed fromfrom eacheach sideside ofof thethe bodybody..

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    StiffnessStiffness Dynamic ResponseDynamic Response

    VortexVortex SheddingShedding

    mph6050 V Vortices shed symmetrically inVortices shed symmetrically inpairs. Alongpairs. Along--wind impulses only.wind impulses only.

    mph6050 >>>>V Vortices shed alternatelydownwind from each side at

    the frequency of the along-windimpulses. Along-wind and cross-wind impulses.

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    StiffnessStiffness Dynamic ResponseDynamic Response

    VortexVortex SheddingShedding AlongAlong--windwind ResponseResponse

    gDe

    pDDC

    CKsFgna

    224====

    aa nn = Fundamental Frequency (Hz)= Fundamental Frequency (Hz)ggpp = Peak Factor= Peak FactorKK = Surface Roughness Coefficient= Surface Roughness Coefficientss = Size Reduction Factor= Size Reduction FactorFF = Gust Energy Ratio= Gust Energy RatioCCee = Exposure Factor= Exposure Factor = Critical Damping Ratio= Critical Damping Ratio = Top Displacement (ft)= Top Displacement (ft)CCgg = Gust Response Factor= Gust Response Factor

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    StiffnessStiffness Dynamic ResponseDynamic Response

    VortexVortex SheddingShedding CrossCross--windwind ResponseResponse

    ====

    W

    rpWW

    gaWDgna

    2

    aa nn = Fundamental Frequency (Hz)= Fundamental Frequency (Hz)ggpp = Peak Factor= Peak FactorWW = Cross= Cross--wind Plan Dimension (ft)wind Plan Dimension (ft)DD = Along= Along--wind Plan Dimension (ft)wind Plan Dimension (ft)aarr = Acceleration Factor (ft/s= Acceleration Factor (ft/s

    22)) = Average Building Density (lbs/ft= Average Building Density (lbs/ft33))gg = Acceleration Due to Gravity (ft/s= Acceleration Due to Gravity (ft/s22)) = Critical Damping Ratio= Critical Damping Ratio

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    StiffnessStiffness Dynamic ResponseDynamic Response

    VortexVortex SheddingShedding

    CrossCross--windwind ResponseResponse UsuallyUsually ControlsControls WhenWhen

    1WD

    3H

    WW = Cross= Cross--wind Plan Dimension (ft)wind Plan Dimension (ft)

    DD = Along= Along--wind Plan Dimension (ft)wind Plan Dimension (ft)HH = Building Height (ft)= Building Height (ft)

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    Von Krmn Vortex StreetVon Krmn Vortex Street

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    Vortex Shedding EquationsVortex Shedding Equations

    ff = Frequency of Vortex Shedding= Frequency of Vortex Shedding

    D

    SVf ====

    ====Re

    S7.19

    1198.0

    VV = Steady Upstream Wind Velocity= Steady Upstream Wind VelocityDD = Building Width or Diameter= Building Width or Diameter

    SS = Strouhal Number= Strouhal Number (~0.20 cyl., ~0.13 sq.)(~0.20 cyl., ~0.13 sq.)

    Varies with wind velocityVaries with wind velocityReRe = Reynolds Number= Reynolds Number

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    mph6050 V Vortices shed symmetrically inVortices shed symmetrically inpairs. Alongpairs. Along--wind impulses only.wind impulses only.

    RecallRecallVortexVortex SheddingShedding

    mph6050 >>>>V Vortices shed alternatelydownwind from each side at

    the frequency of the along-windimpulses. Along-wind and cross-wind impulses.

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    Critical Wind VelocityCritical Wind Velocity

    S

    DfV bldgcrit====

    ResonanceResonance

    --SlightSlight changeschanges inin VV willwill not not changechange thethefrequencyfrequency ofof vortexvortex sheddingshedding becausebecause thethe

    sheddingshedding becomesbecomes controlledcontrolled by by thetheoscillationsoscillations ofof thethe buildingbuilding.. Lock Lock--inin occursoccurs

    withinwithin aboutabout 1010%% ofofffbldgbldgsoso aa preciseprecise valuevalue ofof

    SSisis unnecessaryunnecessary..

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    Wind Tunnel StudiesWind Tunnel Studies

    Goals & MethodsGoals & Methods

    1.1. LoadsLoads PressurePressure ModelModel WindWind speedsspeeds forfor pedestrianpedestrian comfortcomfort

    PressuresPressures onon cladding,cladding, roofs,roofs, soffits,soffits, etcetc

    ForcesForces onon primaryprimary structuralstructural systemsystem

    2.2. DynamicDynamic EffectsEffects ForceForce BalanceBalance ModelModel

    ResponseResponse toto buffetingbuffeting andand vortexvortex sheddingshedding

    PeakPeak forcesforces onon primaryprimary structuralstructural systemsystem(combined(combined resultsresults withwith pressurepressure model)model)

    EffectEffect ofof motionsmotions onon occupantsoccupants

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    Boundary Layer Wind TunnelBoundary Layer Wind Tunnel

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    Pressure ModelPressure Model -- VorticesVortices

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    Cladding PressuresCladding Pressures

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    Coordinate SystemCoordinate System

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    Modes & FrequenciesModes & Frequencies

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    Mode ShapesMode Shapes

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    Forces BalanceForces Balance

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    ViscoelasticViscoelastic DampingDamping

    ViscousViscous DampersDampers

    TunedTuned MassMass DampersDampers

    DampingDamping

    2

    '

    bldgofmassdgeneralize

    TMDofmassactive

    =

    TMD

    top

    laddn

    Additional Damping For a Given ModeAdditional Damping For a Given Mode

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    112112 storiesstories

    500500 metermeter ++ 100100 metermeter spirespire((16401640 ft)ft) ((328328 ft)ft)

    22ndnd Lotte WorldLotte World

    Super TowerSuper Tower

    ,, mm ((33,,000000,,000000 ftft22

    )) 55 LevelsLevels BelowBelow GradeGrade

    ChallengingChallenging GeometryGeometry

    CustomCustom SoftwareSoftware

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    PreliminaryPreliminary 22DD ModelsModels

    TestTest ModelsModels

    33DD ModelModel

    22ndnd Lotte WorldLotte World

    Super TowerSuper Tower

    RhinoRhino OBJOBJ toto GTIGTI

    GTGT STRUDLSTRUDL ModelModel

    StatisticsStatistics && ResultsResults DynDyn.. WindWind TunnelTunnel PropsProps

    WindWind TunnelTunnel RecommendationsRecommendations

    SchematicSchematic DesignDesign

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    Preliminary ModelsPreliminary Models

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    Preliminary ModelsPreliminary Models

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    Virtual Work OptimizationVirtual Work Optimization

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    Preliminary ModelsPreliminary Models

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    Preliminary ModelsPreliminary Models

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    Preliminary ModelsPreliminary Models

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    Preliminary ModelsPreliminary Models

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    Test ModelsTest Models

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    Test ModelsTest Models -- SpeedSpeed

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    Test ModelsTest Models

    StiffnessStiffness

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    OBJ to GTIOBJ to GTI

    WavefrontWavefront OBJOBJ FileFile

    SimpleSimple ASCIIASCII TextText

    MSWordMSWord VBAVBA

    25542554 LinesLines ofof CodeCode

    1717 SubroutinesSubroutines

    WriteWrite GTIGTI FileFile

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    OBJ to GTIOBJ to GTI

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    OBJ to GTIOBJ to GTI Input DialogInput Dialog

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    GT STRUDL ModelGT STRUDL Model

    2762027620 JointsJoints

    1492514925 MembersMembers

    2468624686 ElementsElements

    1571015710 IPLQ/CSTGIPLQ/CSTG

    BandwidthBandwidth108108..516516 ++ 117117..862862

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    GT STRUDL ModelGT STRUDL Model

    22 11..00 GHzGHz PentiumPentium IIIIII

    11..00 GBGB RAMRAMGTGT STRUDLSTRUDL vv2626

    StiffnessStiffness AnalysisAnalysis 1919 minmin 2828 secsecDynamicDynamic AnalysisAnalysis 33 ModesModes

    EigensolutionEigensolution:: 9797 minmin 1818 secsec

    ChecksChecks:: 5858 minmin 3232 secsec

    #1#1 6 64 316 64 31

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    Mode #1Mode #1 T=6.64731 secT=6.64731 sec

    M d #2M d #2 T 6 54169T 6 54169

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    Mode #2Mode #2 T=6.54169 secT=6.54169 sec

    M d #3M d #3 T 4 91990T 4 91990

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    Mode #3Mode #3 T=4.91990 secT=4.91990 sec

    F B l M d lF B l M d l

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    Force Balance ModelForce Balance Model

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    R d tiR d ti

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    RecommendationsRecommendations

    TMD to reduce torsional velocities belowTMD to reduce torsional velocities below

    3 milli3 milli--rad/secrad/sec

    Additional 1% damping requiredAdditional 1% damping required

    DesignDesign Corner Col mnsCorner Col mns

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    DesignDesign Corner ColumnsCorner Columns

    DesignDesign Tie BeamsTie Beams

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    DesignDesign Tie BeamsTie Beams

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    Boston TheatreBoston Theatre

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    Boston TheatreBoston Theatre

    District HotelDistrict Hotel

    2626 storiesstories

    310310 feetfeet

    5050%% HotelHotel // 5050%% CondoCondo

    22 LevelsLevels BelowBelow GradeGrade

    IrregularIrregular FootprintFootprint

    NonNon--parallelparallel SystemsSystems

    TorsionalTorsional ModesModes

    Boston TheatreBoston Theatre

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    Boston TheatreBoston Theatre

    District HotelDistrict Hotel OriginalOriginal SchemeScheme ((20012001))

    NewNew Owner/SchemeOwner/Scheme ((20052005)) 33DD ModelModel

    RhinoRhino -- DXFDXF

    GTGT STRUDLSTRUDL ModelModel VirtualVirtual WorkWork StudiesStudies

    StatisticsStatistics && ResultsResults DynDyn.. WindWind TunnelTunnel PropsProps

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    Original SchemeOriginal Scheme

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    Original SchemeOriginal Scheme

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    New Owner/Scheme (2005)New Owner/Scheme (2005)

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    New Owner/Scheme (2005)New Owner/Scheme (2005)

    5050%% Hotel,Hotel, 5050%% CondoCondo

    UseUse SameSame FramesFrames w/w/ ModificationsModifications @@ TopTop

    1515 millimilli--g/secg/sec CriterionCriterion

    --

    ModificationsModifications @@ TopTop DecreaseDecrease StiffnessStiffness

    SolvedSolved 2121 psfpsf StructuralStructural SteelSteel

    OriginallyOriginally 1818 psfpsf ((1616..77%% Increase)Increase)

    Modified SchemeModified Scheme

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    Modified SchemeModified Scheme

    LineLine 33 LineLine 55 LineLine 99 LineLine 1212

    NONOZipper ColumnsZipper ColumnsNONO

    TransfersTransfers

    $$$ WINS!!!$$$ WINS!!!

    Longitudinal FramesLongitudinal Frames

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    Longitudinal FramesLongitudinal Frames

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    Virtual Work StudiesVirtual Work Studies

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    Virtual Work StudiesVirtual Work Studies

    FinalFinal SchemeScheme

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    FinalFinal SchemeScheme

    --26%26%

    --1%1% --17%17%

    AverageAverage

    Mode #1Mode #1 T=4.16339 secT=4.16339 sec

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    Mode #1Mode #1 T 4.16339 secT 4.16339 sec

    Mode #2Mode #2 T=2.40004 secT=2.40004 sec

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    Mode #2Mode #2 T 2.40004 secT 2.40004 sec

    Mode #3Mode #3 T=2.18549 secT=2.18549 sec

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    Mode ShapesMode Shapes

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    pp

    GT STRUDLGT STRUDL 29 Beta29 Beta

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    22ndndLotte World Super TowerLotte World Super Tower

    v28v28 v29v29

    Stiffness Analysis TimeStiffness Analysis Time 897.62897.62 173.22173.22

    ..

    Eigensolution TimeEigensolution Time 746.44746.44 224.68224.68

    3.32x3.32x

    Eigensolution Check TimeEigensolution Check Time 514.35514.35 173.55173.55

    2.96x2.96x

    My GT STRUDLMy GT STRUDL Wish ListWish List

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    yy

    Analysis & DesignAnalysis & Design

    Virtual Work Based DeflectionVirtual Work Based Deflection

    OptimizationOptimization

    Communication with BIM roductsCommunication with BIM roducts

    Open database for access from objectOpen database for access from objectoriented programming interfaces (.NET etc)oriented programming interfaces (.NET etc)

    Accomplish via DBX files?Accomplish via DBX files?

    GraphicalGraphical

    Visualize Specified MassesVisualize Specified Masses

    Output Animation Files (mpeg, etc.)Output Animation Files (mpeg, etc.)