current practice and future trendscurrent practice and...
TRANSCRIPT
Current Practice and Future TrendsCurrent Practice and Future Trends in Structural Control
B.F. Spencer, Jr.p ,
Nathan M. and Anne M. Newmark Endowed Chairin Civil Engineeringin Civil Engineering
University of Illinois at Urbana-Champaign
sstl.cee.Illinois.edusstl.cee.Illinois.edu
Outline
• What is the current status of vibration l h l f i il i icontrol technology for civil engineering
applications?
• What are the next steps and the mostWhat are the next steps and the most promising future control technologies?
A Brief Historical Perspective
• What is a (feedback) control system?N Wiener described it as “a method of controlling a- N. Wiener described it as a method of controlling a
system by reinserting into it the results of its past performance.”p f
Simple Diagram for Structure ControlSimple Diagram for Structure Control
Application of feedback principles had its beginnings in simple machines and instruments some of them going back centuriesmachines and instruments, some of them going back centuries, e.g., water-clock, thermostat, windmill, and flyball governor.
Ktesibios’ Water Clock (~300 B.C.)Ktesibios’ Water Clock (~300 B.C.)Watt’s Flyball Governor (1788 A.D.)Watt’s Flyball Governor (1788 A.D.)
• The theoretical study of feedback control came relatively late• The theoretical study of feedback control came relatively late in the development of science and technology.
- 1840: Airy, centrifugal-pendulum governor analysis
- 1868: Maxwell: flyball stability analysis
- 1877: Routh, stability analysis
- 1890: Liapunov nonlinear stability analysis- 1890: Liapunov, nonlinear stability analysis
- 1927: Black, electronic feedback amplifier
- 1932: Nyquist, Nyquist stability criterion
- 1938: Bode, frequency response methods
- 1942: Wiener, optimal filter design
-1956: Pontryagin, maximum principle
-1957: Bellman, dynamic programming
-1960: Kalman, optimal estimation techniques
CControl ontrol is an instance of is an instance of technology technology giving giving birth to science!birth to science!
Why Structural Control for Civil I f t t ?Infrastructure?
• Civil engineering structures are exposed to g g ppotentially hazardous loadings such as earthquake and wind
• Control technologies can improve the safety and i bilit f th t tserviceability of the structure
C t t hi di t d t t l di• Catastrophic disasters due to extreme loadings can be prevented
• Lifecycle costs can be reduced
Seismically Excited Structures
Wind Excited Structures
Tacoma Narrows Bridge, Tacoma, Washington
Wind Excited Structures
Wind Excited Structures
Tokyo Wan Aqua-line, Tokyo, Japan
Human Excited Structures
Millennium Foot Bridge, London, England
C ti f i ldConservation of energy yields:
dE+hsk EEEE ++=
• E = total energy input to the structure from excitationgy p f• Ek = kinetic energy of the structure• Es = elastic strain energy of the structure
• Ed = energy dissipated by supplemental damping
s gy f• Eh = energy dissipated due to inelastic deformation
d gy y gdevices
Supplemental Damping DevicesSupplemental Damping Devices
Active Control Systemscontrollable
Passive Systemsnon-controllable
significant power requiredno power required
“Smart” Damperscontrollable
little power requiredlittle power required
Conventional Structure
Excitation ResponseStructure
M
Passive Control Systems
PED
StructureExcitation Response
m
MMMM
Passive DamperBase IsolationTuned Mass Damper
Passive Control Systems
• Dampers • Base IsolationBase Isolation• Tuned Mass Damper• Tuned Liquid Damper /
Tuned Liquid Column Damperu ed qu d Co u pe• Aerodynamic Shaping• Nonlinear Energy Sink
World Trade Center in New York
•10,000 Visco-elastic dampers in each tower•Evenly distributed from 10th to the 110th fl110th floor•Damping: 2.5%~3%
ViscoVisco--elastic elastic dddamperdamper
ViscoVisco--elastic Damperelastic Damper
ViscoVisco--elastic elastic MaterialMaterial
Brace TypeBrace Type C BuildingC Building
粘 Q鋼
Steel Steel Shear Shear Force (Q)Force (Q)
Steel Steel PlatePlate
ViscoVisco--elastic Materialelastic MaterialBrace TypeBrace Type C BuildingC Building
粘
弾
性
体
鋼
板
Q
Q
鋼
板PlatePlate Force (Q)Force (Q)PlatePlate
Shear Shear Force (Q)Force (Q) 体板
Q
v(速度)
せん断ひずみ γ=δ/d
d(厚さ)Thickness (d)Thickness (d)
deformation deformation (d)(d)
(Q)(Q)
Thickness (d)Thickness (d)Shear Strain g = d/dShear Strain g = d/d Wall TypeWall Type M Department StoreM Department Store
Steel Damper
Low-yield strength steel TennozuTennozu ProjectProject
42-story high-rise RC condominium
Use of Dampers in High-rise Buildingin High rise Building
Dissipate energy of Dissipate energy of relative vertical relative vertical motion between motion between
perimeter columns perimeter columns and outriggersand outriggers
Vertically acting Vertically acting dampers between dampers between
coupled shear wallscoupled shear wallscoupled shear wallscoupled shear walls
Beam-type Steel Dampers in RC Core WallsCore Walls
超高強度RCコアウォール
(最大強度80N/mm2)
2525
4650
4650
4650
4650
23650
境界梁型制震ダンパー
3450 34506000 6000 6000 600030900
2525
4650
RCコアウォール超高強度
ウ
制震ダンパー境界梁型
Damped Outrigger Implementation
St. Francis Shangri-La Place, Manila, Philippines
Outrigger Layout
Passive Control System
• Dampers • Base IsolationBase Isolation• Tuned Mass Damper• Tuned Liquid Damper /
Tuned Liquid Column Damperu ed qu d Co u pe• Aerodynamic Shaping• Nonlinear Energy Sink
Seismic Isolation Methods for High-rise RC CondominiumsHigh rise RC Condominiums
Base Isolation Device (A total of 32)
Mat slab
35 story RC condominium
Oakland City Hally
Earthquake Response
Fixed Base Base Isolated
Base-isolation of LNG Tanks2828
ffSLIDINGSLIDING ffBIBI ffNONNON--BIBI
Laminated Rubber Bearings
Base-Isolated Display-Table for Museumfor Museum
Display Tables on Shaking Table
(Y. S. Kim & S. J. (Y. S. Kim & S. J. JooJoo : TS Solution): TS Solution)
Display-Tables on Shaking Table(Hyundai E&C)
Performance of Base Isolation
2D El Centro Record (PGA=0.6g)( g)
Without Base-isolator
WithBase-isolator
Passive Control Systems
• Dampers • Base IsolationBase Isolation• Tuned Mass Damper• Tuned Liquid Damper /
Tuned Liquid Column Damperu ed qu d Co u pe• Aerodynamic Shaping• Nonlinear Energy Sink
Taipei 101: TMD
Pinnacle TMDsPinnacle TMDs
Building TMD
Taipei 101: Building TMD
• Building TMD– 660 ton. (0.24% of building mass)
Worlds largest.– TMD and its support occupy five upper pp py pp
floors.– Visible from a mezzanine level.
$3 5 million turnkey contract– $3.5-million turnkey contract.• Includes Dampers and 60m tall
pinnacle.Addi i l $800k f h d b ll• Additional $800k for the damper ball.
– Made of 12.5cm thick steel plate.– Peak acceleration of the top was reduced p
from 7mili-g to 5 milli-g.– The damper will not have any role during
earthquakesea t qua es
Taipei 101: Pinnacle TMDs
• Pinnacle TMDsT 4 5 t d– Two 4.5 ton dampers
– Flat steel masses tuned by springs are able to move horizontally in any direction. y
– To reduce cumulative fatigue damage due to wind-induced motion.
Tokyo BayTokyo Bay Crossing Bridge in 1997
34
16 TMD’s were installed for controlling
the first and second modes
TMD35
w/o TMD With TMDComparisonWind direction under similar
wind conditions
Wind speed Before AfterWind speed Before After
GirderGirder vibration
MotionTMD amp
Motion of TMD
36
TMD amp.
PARK TOWER HOTEL & RESIDENCES CSAHOTEL & RESIDENCES
• Chicago, Illinois, United States• 70 story multi-use building
– 48 stories of condos over 18 story hotel• 824 ft. tall tower• 5 story parking garage• Building was designed with a tuned mass
d e t t l l te l ele tidamper to control lateral accelerations
Passive Control System
• Dampers • Base IsolationBase Isolation• Tuned Mass Damper• Tuned Liquid Damper /
Tuned Liquid Column Damperu ed qu d Co u pe• Aerodynamic Shaping• Nonlinear Energy Sink
Random House: TLCD
• Tuned Liquid Column Damper– Two TLCDs at the roof level (290 tons and– Two TLCDs at the roof level (290 tons and
430tons)– Large U-shaped tanks at right angles.
M i t i 550 t (0 33% f– Moving water mass is 550 tons (0.33% of building weight) in each tank.
– Cost effective. Cheaper than a pendulum TMD.
Super Sloshing DamperTokyo Dome Hotel
Shin-Yokohama Prince Hotel
Supplementary Damping System
• Dampers • Base IsolationBase Isolation• Tuned Mass Damper• Tuned Liquid Damper / Tuned Liquid
Column DamperCo u pe• Aerodynamic Shaping• Nonlinear Energy Sink
Burj Khalifa in Dubai: Aerodynamic ShapingAerodynamic Shaping
• Burj Khalifa• Burj Khalifa– Height: 825m (world’s tallest structure)– Floor: 160– Completion date: Jun 2009
• Damping system – Conceptual designs for sloshing water and water
column damper systems were developed by MotioneeringMotioneering
– Shape refinements and structural measures can keep building sway motions to acceptable levels
– Space for sloshing dampers
Wind Tunnel Testing at RWDI
• Rowan Williams Davies & Irwin – Ontario, Canadal l i d l• 1:500 Scale Aero-elastic Model
• Structural damping ratio of 1.5% for sway modes 1 and 2• Mounted on turntable • 36 wind directions at 10
d i t ldegree interval• Wind speeds between 0.5
and 1 3 times of the 50and 1.3 times of the 50 year design wind speed
Wind Tunnel Testing at RWDI
Disorganized Vortex Sheddingover the height of the towerover the height of the tower
Comparison of Wind Tunnel Results Wind EngineeringWind Engineering
Wind Tunnel #1 Results Wind Tunnel #3 Results
Supplementary Damping System
• Dampers • Base IsolationBase Isolation• Tuned Mass Damper• Tuned Liquid Damper / Tuned Liquid
Column DamperCo u pe• Aerodynamic Shaping• Nonlinear Energy Sink
Nonlinear Energy Sink (NES)
• A typical NES consists of a mass t d t t t i i ceconnected to a structure via a viscous
damping element and a nonlinear spring
orin
g F
orc
• The NES utilizes a restoring force with an essential (non-linearizable) nonlinearity
Displacement
Res
toce
• Two forms of this are a restoring force were considered in this work: cubic
Displacement
orin
g F
orc
resoring and one-sided impact (shown at right)
Displacement
Res
to
Impact
Displacement
Test Structure• 9 Stories
• Steel Floor Plates 2.74 m (9’) x ( )1.22 m (4’) x3.8 cm (1.5”) or 44 cm (1.75”) for NES Floors
• High Strength Steel Columns
• Total Height = 5 13 m (202”)Total Height 5.13 m (202 )
• Total Weight ≈ 10900 kg (24000 lbs)lbs)
• 1st, 2nd, and 3rd natural frequencies in weak direction of 1 84 5 57in weak direction of 1.84, 5.57, and 9.36 Hz
NES Layout – Floors 8 and 9Right Side Type 1 NES
Vibro-ImpactNES
Left Side Type 1 NES
Blast Testing• Tests performed at US Army
Corps. of Engineering site in Vicksburg MSVicksburg, MS
• C4 was used as explosive in t ttests
• Cladding on side closest to bl d di ibblast was used to distribute pressure loading to the structure
• 5 Tests – 30 psi-msec(locked/unlocked), 60 psi-(locked/unlocked), 60 psimsec (locked/unlocked), and 90 psi-msec (unlocked)
Blast Testing – 1st Floor Column Strain
15030 psi-msec Test
LockedU l k d
60090 psi-msec Test
Unlocked
100
-str
ain)
Unlocked
400
-str
ain)
50
tra
in (
mic
ro-
200
tra
in (
mic
ro-
-50
0
r C
olu
mn
St
-200
0
r C
olu
mn
St
-100
50
1st
Flo
o
-400
00
1st
Flo
o
0 10 20 30-150
Time (sec)
0 10 20 30
-600
Time (sec)
Time (sec) Time (sec)
Blast Testing – Wavelet of 7th Floor AccelerationAcceleration
30 psi-msec Test - NESs Unlocked30
eq (
Hz)
15
20
25
Fre
2 4 6 8 10 12 14 16 18 200
5
10
Time2 4 6 8 10 12 14 16 18 20
30 psi-msec Test - NESs Locked
2
30
Fre
q (H
z)
15
20
25
F
2 4 6 8 10 12 14 16 180
5
10
Time
Houston…. we’ve had a problem….
Active Control Systems
StructureExcitation Response
Control Actuators FeedbackLi k
FeedforwardLi k LinkLink
Computer SensorsSensors
Active Control Systems uActive Control Systems
Consider the SDOF system
mu
x
( ) ( ) ( ) ( ) ( )mx t cx t kx t bu t w tγ+ + = +&& &
Consider the SDOF systemc,k
w1 2 3u g x g x g w= − − −&
with linear state feedback / feedforward
Thus, the closed-loop dynamics are( ) [ ] ( ) [ ] ( ) [ ] ( )mx t c bg x t k bg x t bg w tγ+ + + + =&& &
The closed-loop stiffness, damping, and load factor
2 1 3( ) [ ] ( ) [ ] ( ) [ ] ( )mx t c bg x t k bg x t bg w tγ+ + + + = −
may be arbitrarily assigned
Active Control Systemsct e Co t o Syste s
ActuatorActuator Sensors
M
Actuator Sensor
M
Sensor
M
m
Actuator
M
A ti B I l ti Active BracingActive Mass Damper Active Base Isolation Active BracingActive Mass Damper
Control ComputerControl Computer
Active Mass Damper (AMD) Experiment:( )Acceleration Feedback Control Strategies
)(act tz
)(a3 tz&&
Control Computer/DSP Board)(t&&
)(a2 tz&&
DSP Board)(a1 tz
)(tz&& )(g tz
Kyobashi Seiwa Building (1989)
AMD-1AMD-1
AMD-2Control
Sensor
Control Computer
Sensor
Sensor
Rainbow Bridge Tower (1991)
Yokohama Landmark Tower (1993): AMD(1993): AMD
Hybrid Mass Damper
ORC200 at Osaka
Floor count: 50, Basement floor: 2Made with SRC and S2 ×100 ton
Heathrow AirportNew Control Tower
~2007 completed
Even small wind-induced vibration needs to be suppressed
Two AMD were installed at the top of the tower.
Hybrid Mass Dampers for Tower(Incheon Int’l Airport)(Incheon Int l Airport)
Ai T ffi C t l T 100 4Ai T ffi C t l T 100 4
x
yAir Traffic Control Tower: 100. 4 mAir Traffic Control Tower: 100. 4 mNatural Frequency: 0.71 HzNatural Frequency: 0.71 Hz
HMD1 HMD2
Location of HMDs: 19th Floor Hybrid Mass Damper (HMD)
0 .0 5
0 .1 0
/s2 )
0 .0 5
0 .1 0
/s)
(80 m above ground) Hybrid Mass Damper (HMD)
2 0 4 0 6 0 8 0 1 0 0 1 2 0 1 4 0-0 .1 0
-0 .0 5
0 .0 0
Acc
eler
atio
n (m
/
T M Dm o d e U n c o n tro lle d
2 0 4 0 6 0 8 0 1 0 0 1 2 0 1 4 0-0 .1 0
-0 .0 5
0 .0 0
Acc
eler
atio
n (m
/
C o n tro l le d b yH M D m o d e
2 0 4 0 6 0 8 0 1 0 0 1 2 0 1 4 0
T im e (se c )2 0 4 0 6 0 8 0 1 0 0 1 2 0 1 4 0
T im e (se c )
Signal w/o HMD Signal w/ HMD
Shanghai World Financial Center: HMD• Active tuned mass damper
Two dampers on the 90th floor– Two dampers on the 90th floor. – Sensors are used to measure the building
sway with a computer to controlsway with a computer to control
• Shapep– The Hole in the building reduces vortex-
shedding induced force.
Harumi Island Triton Square
N t St
S t d i t t i ff ti l
Next Steps …
• Smart damping strategies can effectively address a number of these challenges –devices are low power, fail-safe.
• Studies show that smart dampers can i ll hi h j i f hpotentially achieve the majority of the
performance of fully active systems.
Smart (Semiactive) Control SystemsSmart (Semiactive) Control Systems
StructureExcitation Response
PED
Control Actuators
Sensors SensorsComputer
Smart Damping?
Smart Damping?
Kajima Shizuoka Building:Observations from the May 7, 1999 M4.9 Earthquake
KK--BuildingBuildingKK BuildingBuilding
172 m, 38 story
Hybrid mass damper 2
Semi-activehydraulic
dampe 88damper 88
RR--BuildingBuildingRR BuildingBuilding238.05m, 54 story238.05m, 54 story
356 356 semisemi activeactivesemisemi--activeactivehydraulic hydraulic dampersdampersdampersdampers
Smart Base Isolated Building gUsing Variable-Orifice Dampers
at Keio Universityat Keio University
Smart Bridge in Oklahoma
Variable Orifice DamperVariable Orifice DamperVariable Orifice DamperVariable Orifice Damper
SAVASAVA--IIIISAVASAVA IIII
Magnetorheological Fluid Damper
Magnetic ChokeMagnetic ChokeMR FluidMR Fluid
Magnetic ChokeMagnetic Choke
x
FF
Magnetorheological Fluids
Magnetorheological Fluids
Wh t th ?• Micron-sized, polarizable, iron particles in oilWhat are they?
What do they do?• Newtonian in the absence of applied fieldNewtonian in the absence of applied field• Develop yield strength when field applied
γηττ &+= )(u• Bingham Model: • Provide reliable means for a low-power,
rapid response interface between electronic controls and mechanical devices
Magnetorheological Fluid Damper
Magnetic ChokeMagnetic ChokeMR FluidMR Fluid
Magnetic ChokeMagnetic Choke
x
FF
xcxuF && += )sgn()(μ)(uμ
FxxcxuF p+= )sgn()(μ
c
Fx ,
pc
Force - Velocity Envelope for MR Fluid DamperMR Fluid Damper
Large force at small or zero
Maximum currentExtension
Large force at small or zerovelocity is possible
FConstant current operating curve
Zero current
Any arbitrary curve withinoperational envelope is possible
x&
xcxuF p && += )sgn()(μCompression
Applications
WindSeismic
Large-Scale Devices
Seismic Protection
3-Story Scale-Model Building
2ax&&
3ax&&
CurrentDriver
1ax&&
gx&&
dxf ,Annular Orifice
ControlComputer
Rheonetic SD-1000 H i ht 158Rheonetic SD 1000MR Damper Height: 158 cm
Mass: 304 kg
Responses due to 120% El Centro EarthquakeEarthquake
3-Story Scale-Model Building
2ax&&
3ax&&
CurrentDriver
1ax&&
gx&&
dxf ,
Measured Response• 75% reduction in peak displacements• 50% reduction in peak accelerations
ControlComputer
Rheonetic SD-1000 H i ht 158 • 50% reduction in peak accelerations• 30% better response reduction than when
device is operated in passive capacity
Rheonetic SD 1000MR Damper Height: 158 cm
Mass: 304 kg
Smart Base Isolation
MR Damper
gx&& g
Smart Base Isolation
%5.3Hz),(3.88Hz65.11%0.1,Hz)(0.47 Hz42.1
22
11
====
ζζ
ff
%5.3Hz),(3.88Hz65.11 22 ζf
Response to Strong Earthquake
00.20.4
c. [g
]
Max: 0.2g
-0.4-0.2
0
0 2 4 6 8 10
Acc (0.44g for full scale)
Without damper
0 10.15[g
]
0 6 8 0 p
Optimal passive(constant voltage)
S t d i
Input Motion (El Centro NS)
-0.050
0.050.1
eler
atio
n Smart damping
28 % reduction (Peak)
-0.15-0.1
0 2 4 6 8 10
Acc
e ( )29 % reduction (RMS)
Structural Acceleration
46 % reduction (Peak)46 % reduction (Peak)59 % reduction (RMS)
Response to Moderate Earthquake
00.05
0.1c.
[g]
Max: 0.07g
-0.1-0.05
0
0 2 4 6 8 10
Acc
Without damper
(0.15g for full scale)
0.04[g]
0 2 4 6 8 10 p
Optimal passive(constant voltage)
S t d i
Input Motion (El Centro NS)
-0 02
00.02
eler
atio
n Smart damping
49 % increase (Peak)
-0.04-0.02
0 2 4 6 8 10
Acc
e ( )49 % increase (RMS)
Structural Acceleration
37 % reduction (Peak)37 % reduction (Peak)49 % reduction (RMS)
Question?
Can these devices be made largeenough for civil engineering
li i ?applications?
Prototype 20-Ton MR Fluid Damper
Thermal ExpansionThermal ExpansionAccumulator
MR Fluid
3-Stage Piston WireCoils
LORDRheoneticTM Seismic DamperMR-9000
Diameter: 20 cmSStroke: 16 cmPower: < 50 watts, 22 volts
Prototype 20-Ton MR Fluid Damper
LORDRheoneticTM Seismic DamperMR-9000
Diameter: 20 cmSStroke: 16 cmPower: < 50 watts, 22 volts
Performance Testing at theUniversity of Notre DameUniversity of Notre Dame
Performance Testing
Maximum Current
0.5 A
2 A
1 A
Zero Current 0 A
orce
(kN
)Fo
Displacement (cm)Velocity (cm/s)
Experimental Setup Measured ResponseTriangular Displacement
MR Dampers in a Building
Nihon-Kagaku-Miraikan, Tokyo
National Museum of Emerging ScienceNational Museum of Emerging Science and Innovation Two 30-ton, MR Fluid dampers
built by Sanwa Tekki using Lord y gMR fluid are installed between 3rd and 5th floors
Base Isolation Implementation
Tider MRD-160-100 in JZ20-2NW Offshore Platform (China)JZ20 2NW Offshore Platform (China)
Control of Stay Cable Vibration
Stay cables are prone to vibrate
Damping of stay cables is as low as δ = 0 001 0 010as low as δ = 0.001 – 0.010
ζ = 0.02% - 0.2%
0.1rem
ent)
0.3
(after Prof.
ng (L
og. D
ec
(Yamaguchi)
0.01
Moda
l Dam
pin
0.001
M
0.0010.5 1
Natural Frequency (Hz)
5
Control of Stay Cable Vibration
Control of Stay Cable Vibration
Existing solutions:Standard • Cable restrainers which tie
together cables• Altered surface roughness on
Solution
• Altered surface roughness on cables
Dampers
• Augment damping through
Bridge Deck
discrete viscous dampers attached transverse to cable
Typical Installation
However, limited damping can However, limited damping can be added to the cable!be added to the cable!
Modal Damping with Passive Damper
optimal damper exists
mpi
ng
optimal damper exists
mod
al d
amrm
aliz
ed m
strong damper locks down
weak damper provides little
no
locks down the cable
provides little damping
viscous damper coefficient
Dongting Bridge, Hunan, China
MR Damper Installation
MR Damper Installation
Full Installation
Java-Powered Simulation for Base Isolationunder “Education” at http://sstl.cee.uiuc.cedu/p
Java-Powered Simulation for Base Isolationunder “Education” at http://sstl.cee.illinois.cedu/p
Java-Powered Simulation for Base Isolationunder “Education” at http://sstl.cee.illinois.cedu/p
Conclusions
• Various types of control technologies are tl b i d t iti t ib ti fcurrently being used to mitigate vibration of
civil infrastructure• Best approach is application dependent.
C l h l ll f h d i f• Control technology allows for the design of structures with improved serviceability and safety.