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.)