1 지진하중을 받는 구조물의 mr 댐퍼의 동특성을 고려한 반능동 신경망제어...
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지진하중을 받는 구조물의 지진하중을 받는 구조물의 MR MR 댐퍼의 동특성을 고려한댐퍼의 동특성을 고려한
반능동 신경망제어 반능동 신경망제어
Heon-Jae Lee1), Hyung-Jo Jung 2), Ju-Won Oh 3) , In-Won Lee4)
1) Graduate Student, Dept. of Civil and Environmental Engineering, KAIST
2) Assistant Professor, Dept. of Civil Engineering, Sejong University
3) Professor, Department of Civil Engineering, Hannam University
4) Professor, Dept. of Civil and Environmental Engineering, KAIST
Heon-Jae Lee1), Hyung-Jo Jung 2), Ju-Won Oh 3) , In-Won Lee4)
1) Graduate Student, Dept. of Civil and Environmental Engineering, KAIST
2) Assistant Professor, Dept. of Civil Engineering, Sejong University
3) Professor, Department of Civil Engineering, Hannam University
4) Professor, Dept. of Civil and Environmental Engineering, KAIST
2003 년도 대한토목학회 학술발표회
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IntroductionIntroduction
Semi-active control strategy has attractive feature such as
- bounded input and bounded output stability - small energy requirement - not only the reliability of passive control but also the
adaptability of fully active control
Neural network also has attractive feature such as
- ability of producing continuous control signal - adaptability for non-linear problems - no need the mathematical model for solving any
engineering problems
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Proposed MethodProposed Method
STRUCTURE
Neural Network
xx ,gx
fMR Damper
Clipped
Algorithmdf
v
Clipped Neuro-Control
Block diagram of the proposed method
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Clipped AlgorithmClipped Algorithm
• desired force (by neural network) :
• generated force (by MR damper) :df
f
df
f
0v
0v
0v
0v
maxVv
maxVv
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Numerical ExampleNumerical Example
velocity of 3rd floor
ground acceleration
controlforce
displacement of 3rd floor
velocity of 1st floor
displacement of 1st floor
gx Example Structure;Dyke el al. (1996)
Neural Netwokr used inthis study
0 4 8 12 16 20-4
-2
0
2
4
El Centro(0.348g)
0 2 4 6-4
-2
0
2
4
Kobe(0.334g)
0 2 4 6 8-2
-1
0
1
2
California(0.156g)
Training
Verification
6
0 2 4 6-1
-0.5
0
0.5
1
0 2 4 6-1
-0.5
0
0.5
1
Time(sec)
Dis
pla
cem
ent
(cm
)D
isp
lace
men
t (c
m)
• Displacement of the 3rd floor (El Centro)• Displacement of the 3rd floor (El Centro)
Training ResultsTraining Results
Clipped
optimal
Proposed
method
: uncontrolled : controlled
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• Acceleration of the 1st floor (El Centro)• Acceleration of the 1st floor (El Centro)
Training ResultsTraining Results
Clipped optimal
Proposed
method
0 2 4 6-1000
-500
0
500
1000
Time(sec)
Acc
eler
atio
n (
cm/s
ec2
)A
ccel
erat
ion
(cm
/sec
2)
0 2 4 6-1000
-500
0
500
1000
: uncontrolled : controlled
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Control ResultsControl Results
ControlStrategy
UncontrolledClippedoptimal
Proposedmethod
0.541 0.115 (1.000) 0.117 (1.017)
0.825 0.186 (1.000) 0.171 (0.919)
0.963 0.236 (1.000) 0.240 (1.017)
0.541 0.115 (1.000) 0.117 (1.017)
0.320 0.090 (1.000) 0.111 (1.233)
0.201 0.101 (1.000) 0.082 (0.812)
861 733 (1.000) 429 (0.585)
1040 746 (1.000) 503 (0.674)
1401 705 (1.000) 571 (0.810)
- 954 (1.000) 852 (0.893))(Nf
aix
id
ix
)(cm
)(cm
)/( 2scm
• Maximum responses under El Centro earthquake• Maximum responses under El Centro earthquake
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Control ResultsControl Results
ControlStrategy
UncontrolledClippedoptimal
Proposedmethod
0.341 0.054 (1.000) 0.043 (0.796)
0.480 0.094 (1.000) 0.071 (0.755)
0.576 0.114 (1.000) 0.100 (0.877)
0.341 0.054 (1.000) 0.043 (0.796)
0.179 0.041 (1.000) 0.048 (1.171)
0.107 0.041 (1.000) 0.039 (0.951)
570 389 (1.000) 181 (0.465)
653 285 (1.000) 250 (0.877)
744 285 (1.000) 273 (0.958)
- 411 (1.000) 319 (0.776))(Nf
aix
id
ix
)(cm
)(cm
)/( 2scm
• Maximum responses under California earthquake• Maximum responses under California earthquake
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Control ResultsControl Results
ControlStrategy
UncontrolledClippedoptimal
Proposedmethod
1.486 0.700 (1.000) 0.480 (0.686)
2.373 1.181 (1.000) 0.819 (0.693)
2.877 1.444 (1.000) 1.013 (0.702)
1.486 0.700 (1.000) 0.480 (0.686)
0.895 0.487 (1.000) 0.373 (0.766)
0.528 0.328 (1.000) 0.208 (0.634)
2337 1936 (1.000) 940 (0.486)
2793 1929 (1.000) 1438 (0.745)
3676 2280 (1.000) 1445 (0.634)
- 1324 (1.000) 1513 (1.143))(Nf
aix
id
ix
)(cm
)(cm
)/( 2scm
• Maximum responses under Kobe earthquake• Maximum responses under Kobe earthquake
110 0.2 0.4 0.6 0.8
0.3
0.4
0.5
0.6
Peak Ground Acceleration (g)
Max
imu
m d
rift
of
3rd f
loor
Clipped optimalProposed method
Kobe earthquake
California earthquake
El Centro earthquake
Control ResultsControl Results
• Maximum drift of the 3rd floor• Maximum drift of the 3rd floor
12Peak Ground Acceleration (g)
Clipped optimalProposed method
Kobe earthquake
California earthquake
El Centro earthquake
Control ResultsControl Results
• Maximum acceleration of the 1st floor• Maximum acceleration of the 1st floorM
axim
um
acc
eler
atio
n o
f 1st
flo
or
0 0.2 0.4 0.6 0.80
0.4
0.8
1.2
1.6
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ConclusionsConclusions
• A semi-active neuro-control technique using MR damper for seismically excited structure is proposed.
• The performance of the proposed method is better than that of the clipped optimal control method.
( max. drift of 3rd floor : 5 ~ 34 % reduction,
max. acceleration of 1st floor : 37 ~ 69 % reduction )
The proposed semiactive neuro-control technique using MR dampers could be effectively used for control of seismically excited structures!