optimal placement of mr dampers for 20-story nonlinear benchmark building 2003 년...
Post on 14-Dec-2015
219 Views
Preview:
TRANSCRIPT
Optimal placement of MR dampers
for 20-story nonlinear
benchmark building
Optimal placement of MR dampers
for 20-story nonlinear
benchmark building
2003 년 대한토목학회 추계학술발표대회대구 EXCO2003 년 10 월 24, 25 일
장종우 , 한국과학기술원 건설 및 환경공학과 석사과정조상원 , 한국과학기술원 건설 및 환경공학과 박사과정윤우현 , 경원대학교 산업환경대학원 부교수이인원 , 한국과학기술원 건설 및 환경공학과 교수
Introduction
• Linear viscous dampers
- The larger structural responses of the dampers’ locations
are, the more effective the devices are.
- Many sequential procedures of optimal placement have
been proposed. : SSA, SSSA ( T. T. Soong 2002 )
• MR damper ( Magneto-rheological damper )
- More complicated control mechanism than linear viscous
dampers
- Very few verified and widely used methods for optimal placement
of MR dampers.
• Proposed optimal placement methods
- Similar to the sequential procedures for linear viscous dampers
- The next MR damper is implemented at the location with the
maximum responses.
• MR damper model
- Combination of Bouc-Wen model and linear
damper ( Yoshida and Dyke 2002 )
Proposed optimal placement method
u0bc0ac0c
αzx0cf
xAn
zxβ-1-n
zzx-γz
ubαaαα
v)--(uu
f : control force produced by damper
u : effective voltage
v : command voltage
V)sec/(cmN44.00bc
sec/cmN4.400ac
V)N/(cm5
104.9616bα
N/cm5
101.0872aα
1sec50η
1cm3β
1cm3γ
1.2A
1n
-
-
-
- Dynamic characteristics of MR damper
- Maximum capacity : 1000kN
Maximum command voltage : 10V
- Control algorithms
· Passive control : Passive-On and Passive-Off
· Semiactive control : Maximum energy dissipation algorithm
• Optimal placement of MR dampers
- Linear viscous damper
: Optimal location index ( T.T.Soong 2002 )
iδ2αiδ1αiγ
storeyiththeat
velocity&driftyinterstorepeakiδ,iδ
storeysofNo.,2,1,i
: The coefficients of each responses are not yet determined.
- MR damper
: Consider only one of the structural responses for the
optimal location index
· Peak interstory drift
· Peak interstory velocity
· Absolute acceleration
: Then, determine the coefficients and propose the optimal
location indices.
Numerical results
• Building models
- 20-story nonlinear
benchmark building
( Otori et al. 2000, 2002 )
- Plane : 30.48 36.58 (m)
- Height : 80.77 (m)
- Two basement levels
- 5 bays in the N-S
direction and 6 bays in
the E-W direction
- 3 DOFs at each node (horizontal, vertical, rotational)
: Total DOFs: 414 (138 nodes)
- MR dampers are implemented throughout the N-S
frames.
- Rayleigh damping matrix
- Inelastic behavior of the building
during strong earthquakes
: Bilinear hysteresis model
• Peak accelerations of applied earthquakes
El Centro Hachinohe Northridge Kobe
Peak acc. 0.349 g 0.230 g 0.844 g 0.834 g
g : acceleration of gravity
• Optimal locations of MR dampers (Passive-On algorithm) - Optimal location index ( Interstory drift )
: Before normalization of earthquakes’ scales
0 2 4 6 8
13579
1113151719
El Centro
No. of dampers
Floor No.
0 2 4 6 8
13579
1113151719
Northridge
No. of dampers
Floor No.
0 2 4 6 8
13579
1113151719
Kobe
No. of dampers
Floor No.
0 2 4 6 8
13579
1113151719
Hachinohe
No. of dampers
Floor No.
: After normalization of earthquakes’ scales
0 2 4 6 8
13579
1113151719
El Centro
No. of dampers
Floor No.
0 2 4 6 8
13579
1113151719
Northridge
No. of dampers
Floor No.
0 2 4 6 8
13579
1113151719
Kobe
No. of dampers
Floor No.
0 2 4 6 8
13579
1113151719
Hachinohe
No. of dampers
Floor No.
0 2 4 6 8
13579
1113151719
El Centro
No. of dampers
Floor No.
0 2 4 6 8
13579
1113151719
Northridge
No. of dampers
Floor No.
0 2 4 6 8
13579
1113151719
Kobe
No. of dampers
Floor No.
0 2 4 6 8
13579
1113151719
Hachinohe
No. of dampers
Floor No.
- Optimal location index ( Interstory velocity )
: Before normalization of earthquakes’ scales
0 2 4 6 8
13579
1113151719
El Centro
No. of dampers
Floor No.
0 2 4 6 8
13579
1113151719
Northridge
No. of dampers
Floor No.
0 2 4 6 8
13579
1113151719
Kobe
No. of dampers
Floor No.
0 2 4 6 8
13579
1113151719
Hachinohe
No. of dampers
Floor No.
: After normalization of earthquakes’ scales
. Int. drift Int. velocity Benchmark
El Centr
o
J1 0.569 0.739 0.612
J2 0.550 0.735 0.599
J3 0.824 0.903 0.976
Hach.
J1 0.635 0.870 0.683
J2 0.844 0.871 0.845
J3 1.012 1.223 0.995
North.
J1 0.677 0.899 0.766
J2 1.275 1.500 1.132
J3 1.134 0.985 1.133
Kobe
J1 0.519 0.563 0.700
J2 0.937 0.843 1.062
J3 1.230 1.063 1.213
· J1 : max. int. drift
· J2 : max. abs. acc.
· J3 : max. base shear
- Comparison of evaluation criteria
· Damper locations in the Benchmark problem
Floor No. 1 2~3 4~20
No. of dampers
4 2 1
• Optimal location index : Absolute acceleration
: Graph of evaluation criteria
20 20 20 14 14 14 14 14 14 14
13 13 13 ……
0.4
0.8
1.2
1.6
2
1 2 3 4 5 6 7 8 9 10 11 12 13 14
Eval. criteria
No. of dampers
- El Centro earthquake
: Optimal placements
0.40.60.8
11.21.41.61.8
1 2 3 4 5 6 7 8 9 10 11 12 13 14
Eval. criteria
No. of dampers
: Graph of evaluation criteria
12 12 12 11 11 11 11 11 11
11 11 11 ……
- Kobe earthquake
: Optimal placements
J1 J2 J3
-- El Centro earthquake
· Interstory drift index : 25 dampers only on the first floor
· Interstory velocity index : 25 dampers only on the 20th floor
• Optimal locations of MR dampers (Passive-Off algorithm)
. Int. drift Int. velocity Benchmark
J1 0.978 0.861 0.965
J2 0.993 0.953 0.975
J3 0.981 0.906 0.962
- Kobe earthquake
· Interstory drift index : 25 dampers only on the 19th floor
· Interstory velocity index : 25 dampers only on the 20th floor
. Int. drift Int. velocity Benchmark
J1 0.943 0.945 0.999
J2 1.005 0.990 1.026
J3 1.010 0.993 1.004
• Optimal locations of MR dampers (MEDA algorithm) - Optimal location index ( Interstory drift )
0 2 4 6 8
13579
1113151719
El Centro
No. of dampers
Floor No.
0 2 4 6 8
13579
1113151719
Northridge
No. of dampers
Floor No.
0 2 4 6 8
13579
1113151719
Kobe
No. of dampers
Floor No.
0 2 4 6 8
13579
1113151719
Hachinohe
No. of dampers
Floor No.
0 2 4 6 8
13579
1113151719
El Centro
No. of dampers
Floor No.
0 2 4 6 8
13579
1113151719
Northridge
No. of dampers
Floor No.
0 2 4 6 8
13579
1113151719
Kobe
No. of dampers
Floor No.
0 2 4 6 8
13579
1113151719
Hachinohe
No. of dampers
Floor No.
- Optimal location index ( Interstory velocity )
. Int. drift Int. velocity Benchmark
El Centr
o
J1 0.639 0.759 0.640
J2 0.963 1.255 1.041
J3 0.832 0.938 0.975
Hach.
J1 0.638 0.781 0.683
J2 0.814 1.479 0.845
J3 1.025 1.182 0.995
North.
J1 0.715 0.959 0.815
J2 1.180 1.120 0.948
J3 1.087 0.954 1.059
Kobe
J1 0.557 0.534 0.645
J2 0.857 0.870 0.877
J3 0.974 0.976 1.036
· J1 : max. int. drift
· J2 : max. abs. acc.
· J3 : max. base shear
- Comparison of evaluation criteria
· Damper locations in the Benchmark problem
Floor No. 1 2~3 4~20
No. of dampers
4 2 1
• Passive-On algorithm - Peak interstory drift index is the most efficient in most
cases.
- Peak interstory velocity index is not very efficient.
- Peak absolute acceleration is inadequate for the optimal
location index.
• Passive-Off algorithm - MR dampers are implemented only on one floor.
- The proposed sequential method is not adequate
for Passive-Off algorithm.
• Maximum energy dissipation algorithm - The optimal locations of MR dampers are similar to those
under passive-on algorithm.
Conclusion
top related