an overview of wind engineering where climate meets design - rwdi philadelphia presen… · •...
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Presented by
Derek Kelly, M.Eng., P.Eng.
Principal/Project Manager
An Overview of Wind Engineering Where Climate Meets Design
RWDI – Leadership & Consulting Expertise
RWDI
■ Consulting Engineers & Scientists offering design guidance and problem solving for structural and environmental issues
■ Established in 1972
■ 440+ employees
■ Multi-disciplinary teams Senior scientists; engineers; specialists;
meteorologists; engineering technologists; technicians; support staff
Allied offices around the world
Overview
Overall building aerodynamics
Building motion and supplementary damping
Snow drifting and loading
Instantaneous Pressure Distribution About a Building
Experimental Process
Planetary boundary layer and effect of surface roughness - mean velocity profile
Local wind climate assessment and distribution of wind speeds
0.1 1 10 100 1 103 1 1040
20
40
60
80
100
120
Return Period (years)
Mea
n ho
urly
win
d sp
eed
(mph
)
\ bridge alignment included
0.01
0.1
1
10
100
Pe
rce
nta
ge
of
Tim
e
10 60 110 160 210 260 310 360Wind Direction (degrees)
Winds Exceeding 90 mph 0.01
0.1
1
10
100 0 10
2030
40
50
60
70
80
90
100
110
120
130
140150
160170180190
200210
220
230
240
250
260
270
280
290
300
310
320330
340350
Bridge
0.01
0.1
1.0
10
100
1-year
10-year
100-year
Why we need shape optimization?
-4.0E+09
-2.0E+09
0.0E+00
2.0E+09
4.0E+09 B
as
e O
ve
rtu
rnin
g M
om
en
t (N
-m)
10 60 110 160 210 260 310 360 Wind Direction (degrees)
Mx
Wind Direction (degrees)
Bas
e O
vert
urn
ing
Mo
men
t Across-wind response where mean loads are negligible
Peak Maximum
Mean
Peak Minimum
Along-wind response
For a slender tall building with almost uniform cross-section, the wind loads can be governed by across-wind response due to vortex shedding. This normally becomes an issue for both strength design and serviceability.
Why we need shape optimization?
-4.0E+09
-2.0E+09
0.0E+00
2.0E+09
4.0E+09
Ba
se
Ov
ert
urn
ing
Mo
me
nt
(N-m
)
10 60 110 160 210 260 310 360 Wind Direction (degrees)
Mx
Wind Direction (degrees)
Along-wind response
Wind response can be significantly reduced by shape optimization.
Across-wind response where mean loads are negligible
Peak Maximum
Mean
Peak Minimum
Bas
e O
vert
urn
ing
Mo
men
t
Across Wind Response and Vortex Shedding
12
Strouhal numbers have been determined for a variety of shapes such as rectangular, circular and triangular bodies. Typically between 0.12 to 0.16 for squared objects, and 0.2 to 0.22 for circular bodies.
t
Bcrit
S
DfU
D
USf t
St= Strouhal number D = a characteristic dimension, taken as the width U = the velocity of the approaching wind
Strouhal Number
Mitigating Cross-Wind Response – 432 Park Avenue
Modified
Original
25% - 30% REDUCTION IN BASE MOMENT
Corner options tested
Mitigating Cross-Wind Response – Taipei 101
15 15
Tapered Box
100o Configuration
110o Configuration
120o Configuration 180o Configuration
Final Configuration
( ) ( . )Max Min2 206Ref.Resultant
Reference
Configuration Test Date
My (N-m) Ratio Mx (N-m) Ratio Ref.
Resultant
Ratio
Base (Tapered Box) 08/22/2008
5.45E+10 100% 4.98E+10 100% 6.22E+10 100%
100o (107o) 07/28/2008 4.53E+10 83% 4.19E+10 84% 5.18E+10 83%
110o (118o) 08/22/2008
3.97E+10 73% 4.31E+10 87% 4.92E+10 79%
180o (193o) 07/28/2008 3.39E+10 62% 3.65E+10 73% 4.18E+10 67%
120o (129o) - 0° Rot. Estimated 3.43E+10 63% 4.29E+10 86% 4.75E+10 76%
110o (118o) - 30° Rot. 09/29/2008 3.92E+10 72% 3.60E+10 72% 4.48E+10 72%
120o - 40° Rot. 09/29/2008 3.57E+10 66% 3.53E+10 71% 4.15E+10 67%
Assume the same structural properties for all configurations (Vr=52m/s, 100-yr wind, damping=2.0%)
0° Rot. – Original 110° Shape Footprint Position 30° Rot. – Optimal Orientation of 110° Shape 40° Rot. – Optimal Orientation of 120° Shape
Benefits of Optimization due to
Twist & Building Orientation
Comparison of Base Overturning Moments
Controlling Motions
Taipei 101
Comcast Tower - Philadelphia
432 Park Avenue – in action!
Specialty Studies
Aeroelastic of a Super Tall Building
Aeroelastic model of a construction stage
Image of a Rigid Aeroelastic Model Under Construction
Aeroelastic Models of Completed Bridges
Tacoma Narrows Bridges Tacoma, Washington (suspension bridges)
Cooper River Bridge - Charleston, S.C. (cable-stayed bridge)
Aeroelastic scaling
Time and velocity scaling
b
tUt
ref*Non-dimensional time =
Non-dimensional velocity = b
UU
ref
0
*
In fluid mechanics, the Reynolds number is a measure of the ratio of inertial forces to viscous forces, and quantifies the relative importance of these two types of forces for given flow conditions. It is primarily used to identify different flow regimes passing by a given object. Typically, Reynolds number is defined as follows:
VDRe
where: V - mean fluid velocity, [m/s] D - diameter of pipe, [m] ν - kinematic fluid viscosity, [m2/s]
Often overlooked in bluff body aerodynamics for sharp edged objects
Typical ranges at model scale Re values are 104
Typical ranges at full scale Re values are 107
Reynolds Number Tests
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
Dra
g co
effic
ient
1E+01 1E+02 1E+03 1E+04 1E+05 1E+06 1E+07
Reynolds number
[After Clift, Grace and Weber
Bubbles, Drops and Particles, Academic Press, 1978]
u b
AuCD 2
21
Force Drag
4
2bA
Plot of Drag Coefficient of a Cylinder vs. Reynolds Number
Addressing Reynolds Number
• Because the Reynolds number is a function of Speed, Width of the object, and viscosity, one can do the following to achieve a high Reynolds number:
• Test a large model • Test at a high speed • Change the air density in the experiment* *difficult to do, need a pressurized wind tunnel
• For projects that RWDI has worked, a large model has been built and tested at a high speed.
• These experiments are then compared to a similar experiment conducted at a smaller scale in RWDI’s facilities.
• The results from each are then compared to original wind tunnel tests.
• The outcome is typically the overall responses, i.e. overall loads on a tower and building accelerations reduce, whereas the local Cladding loads may increase slightly and the distribution will change.
High Reynolds Number Tests (option)
Example
High Reynolds Number Tests
High Reynolds Number Tests – Shanghai Center
-2.00E+03
0.00E+00
2.00E+03
4.00E+03
6.00E+03
8.00E+03
1.00E+04
1.20E+04
1.40E+04
1.60E+04
1.80E+04
260 270 280 290 300 310 320 330 340 350 360
She
ar F
orc
e (
lbf)
Wind Direction (degrees)
Fx
-3.00E+04
-2.50E+04
-2.00E+04
-1.50E+04
-1.00E+04
-5.00E+03
0.00E+00
5.00E+03
260 270 280 290 300 310 320 330 340 350 360
She
ar F
orc
e (
lbf)
Wind Direction (degrees)
Fy
Full Stage Equipment - Full Roof Full Stage Equipment - Half Roof
No Stage Equipment - Full Roof No Stage Equipment - Half Roof
Wind Engineering Services –
Scale Model Tests
Indiana State Fair Collapse Incident
-2.00E+03
0.00E+00
2.00E+03
4.00E+03
6.00E+03
8.00E+03
1.00E+04
1.20E+04
1.40E+04
1.60E+04
1.80E+04
260 270 280 290 300 310 320 330 340 350 360
She
ar F
orc
e (
lbf)
Wind Direction (degrees)
Fx
-3.00E+04
-2.50E+04
-2.00E+04
-1.50E+04
-1.00E+04
-5.00E+03
0.00E+00
5.00E+03
260 270 280 290 300 310 320 330 340 350 360
She
ar F
orc
e (
lbf)
Wind Direction (degrees)
Fy
Full Stage Equipment - Full Roof Full Stage Equipment - Half Roof
No Stage Equipment - Full Roof No Stage Equipment - Half Roof
SNOW CONTROL FEATURES
IN BUILDING DESIGN
Winter Winds Directionality (Blowing From) Toronto International Airport (1953-2015)
Percentage of Snow over All Winds: 12.9%
Wind Speed km/h
Probability (%) Winter Winds
During Snowfall
Blowing Snow
1-20 50.1 41.0 2.1
21-25 18.3 19.1 4.9
26-30 14.7 18.7 15.7
31-35 7.3 10.2 24.6
>35 5.5 8.2 52.8
All Winter Winds
Winds during Snowfall
Blowing Snow Events
Understanding the Local Climate
Site surroundings and topography… …also something we also have little control over
Drifting Snow in Urban Areas
www.rwdi.com
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Example Snow Drift Simulation
Approaching Wind Flow
Large Problematic Grade Level Drift
Roof Step Accumulation
Unbalanced Structural Snow Load
www.rwdi.com
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Evaluation of Mitigation Measures
Reduced Accumulations
Large Structural Loads
www.rwdi.com
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Snow Drifts Pushed Away from the Building Facade
Wind Deflector
Device
Evaluation of Mitigation Measures
Wind Deflectors above Clearstory Windows
Building Massing to Promote Controlled Sliding Image Courtesy www.vikings.com
Large Catchment Gutter for Storing
Sliding Snow
Snow Deflector for Directing Snow into Large
Catchment Gutter Sliding Snow
and Ice
Building Massing to Promote Controlled Sliding Image Courtesy www.vikings.com
Scale Model of Minnesota Multi-Purpose Stadium in RWDI’s Boundary Layer Wind Tunnel
Page 47
Reputation Resources Results Canada | USA | UK | India | China www.rwdi.com
Example of Flow Fields Obtained from Wind Tunnel Testing
• RWDI’s FAE (Finite Area Element) study was used to derive detailed snow loading patterns on the roof for 58 years of historical winter weather data
• The study accounted for: • snow and rainfall on the roof • the velocity field (drifting) across the roof • thermal effects or heat loss • sliding
Velocity Vectors from Wind Tunnel Tests
Page 48
Reputation Resources Results Canada | USA | UK | India | China www.rwdi.com
Example Time History of Minnesota Multi-Purpose Stadium Roof Loading for
the Winter of 1981-1982
Example of Typical Roof Snow Accumulation for the Winter of
1981-1982
Example Time History of Ground Accumulation for the Winter of 1981-1982
Example of Roof Loading Pattern
Through knowledge and understanding, we can anticipate and control the impact of the climate
in the built environment.
Performance and precision.
MERCI BEAUCOUP