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CIVE 790-670
Prepared by Dr. F. Necati Catbas
CAD Drawings: Visualize, Conceptualize
60
DATA-INFORMATION-KNOWLEDGEData Integration, On-line Detection, WarehousingDisplay, Data Fusion, Data Mining, Correlation, Neural-NetDecision and Management Applications
ANALYSISAnalytical Modeling: Numerical, Geometric, Statistical/Stochastic, Calibration, SimulationPrediction
EXPERIMENTLoad Test: Static, DynamicLocal: NDE, Material TestLong Term Monitoring: Intermittent, Continuous, Integrated, Real Time
Survey of The Bridge: Observe, Measure
Win
d S
pee
d (m
ph
)
Structural and Loading Systems Identification
AD
E
Time12/21/98 12:00 AM
12/21/98 12:00 PM
12/22/98 12:00 AM
12/22/98 12:00 PM
12/23/98 12:00 AM
12/23/98 12:00 PM
10
20
30
40
50
60
30
210
60
240
90
270
120
300
150
330
180
0
11.36 mph
22.72 mph
34.08 mph
45.44 mph
56.8 mph
PA
NJ
12/22/98
General Tasks• Preparations
– Inspect grid, obtain existing models, review of material, – Determine damage scenarios– Number of tests and sequence
• Dynamic Test – Instrument the grid w/ accels– Conduct ambient, impact and forced excitation test
• Load Test– Install SWP sensors– Prepare Optim for testing– Prepare actuators
• Finite Element Modeling– Obtain model and take measurements, improve/create FE model
• Data Processing– Dynamic test data– Load test data– FE simulations– Correlations
• Documentation and Archival– Raw data– Image documentation of the grid, tests, equipment etc
To Do List for the Team
• April 24-26– Preparations– Dynamic test
instrumentation – SWP installation– Get FE Model– Decide & plan for damage
scenarios– Logistics for actuator
testing
• April 27- May 3– FEM preparation– Prepare VIX and Optim– Finish SWP installation– Conduct
• Ambient, forced and impact test
– Conduct load • With weights• With actuators after
moving
– Preliminary simulations
To Do List for the Team
• May 4 – 10– Data Processing
• Dynamic test• Load test• FE simulations
– Correlations of test results with FE Model simulations
– Induce damage
• May 11 – 17– Conduct
• Ambient, forced and impact test
– Conduct load • With weights• With actuators after
moving
– Data Processing– Experimental-
Analytical correlations
To Do List for the Team
• May 18 – 24– Data processing– Model calibration
• May 25 – 30– Final report– Documentation
XY
Z
123123123
123123123123123
123123123
123123123
123123123123123
123123123
0.783
0.734
0.685
0.636
0.587
0.538
0.49
0.441
0.392
0.343
0.294
0.245
0.196
0.147
0.0979
0.049
0.
V1L4C1
Output Set: Mode 1 5.998412 HzDeformed(0.783): Tota l Transla tionContour: Tota l Transla tion
Preliminary FEM = 5.99 HzImpact Modal Test = 5.04 HzAmbient Vib. Test = 5.05 Hz
First Mode of the Grid (Bending Mode)
XY
Z
123123123
123123123123123
123123123
123123123
123123123123123
123123123
1.202
1.127
1.052
0.976
0.901
0.826
0.751
0.676
0.601
0.526
0.451
0.376
0.3
0.225
0.15
0.0751
0.
V1L4C1
Output Set: Mode 2 7.880329 HzDeformed(1.202): Tota l Transla tionContour: Tota l Transla tion
Second Mode of the Grid (Torsional Mode)
Preliminary FEM = 7.88 HzImpact Modal Test = 7.79 HzAmbient Vib. Test = 7.73 Hz
XY
Z
123123123
123123123123123
123123123
123123123
123123123123123
123123123
0.81
0.76
0.709
0.658
0.608
0.557
0.506
0.456
0.405
0.355
0.304
0.253
0.203
0.152
0.101
0.0506
0.
V1L4C1
Output Set: Mode 3 19.6758 HzDeformed(0.81): Tota l Transla tionContour: Tota l Transla tion
Preliminary FEM = 19.68 HzImpact Modal Test = 17.59 HzAmbient Vib. Test = 17.26 Hz
Third Mode of the Grid (Asymmetric Bending Mode)
XY
Z
123123123
123123123123123
123123123
123123123
123123123123123
123123123
1.158
1.086
1.013
0.941
0.868
0.796
0.724
0.651
0.579
0.507
0.434
0.362
0.289
0.217
0.145
0.0724
0.
V1L4C1
Output Set: Mode 4 24.701 HzDeformed(1.158): Total Transla tionContour: Total Transla tion
Fourth Mode of the Grid (Asymmetric Bending/Torsion Mode)
Preliminary FEM = 24.70 HzImpact Modal Test = 22.23 HzAmbient Vib. Test = 21.72 Hz
System Identification using Ambient Vibration Data
0 500 1000 1500 2000 2500 3000-0.025
-0.015
-0.005
0.005
0.015
0.025
Time (sec)
Acc
el(g
)
0 10 20 30 40 50-10
-8
-4
0
4
8x 10-3
Time (sec)A
ccel
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 510-4
10-3
10-2
10-1
Freq (Hz)
Log
Mag
0 0.5 1 1.5 2 2.5 3 3.5 4 4.510-3
10-2
10-1
10 0
101
Frequency, (Hz)
Log
Mag
Frequency Domain Data from Pre-Processed RDs
0 0.5 1 1.5 2 2.5 3 3.5 4 4.510
-2
10-1
100
101
Frequency (Hz)
LogM
agni
tude
Modal ParametersMode Shapes: {Φ}Freq and Damping:
ω and σ
Pre-Process to Obtain Random Decrement Data
Time Domain Measurements Under Ambient Conditions
CMIF for All Data Combined, Determine Mode Shapes from
Singular Vectors
Transformation from Physical to Modal Space by Modal Filtering, Determine
Freq and Damping
Test and Analysis Method
• No=5• Random input at different locations of the
structure• Fsamp=100 Hz, no sub-sampling of the data• Random Decrement method used with 1.5Std,
N=1024 spectral lines, exponential window (1024,6,∆tx1023)
• Pseudo MIMO test set-up with Ni=5 and No=5
Vibration Response due to Random Input
0 50 100 150 200 250-0.04
-0.03
-0.02
-0.01
0
0.01
0.02
0.03
0.04
0.05Point 8
Pre-processed data using Random Decrement Technique
0 2 4 6 8 10 12-5
0
5
10x 10
-3 Point 8
Ni= pt 8, No= pt 8 (pseudo FRF)
0 5 10 15 20 25 30 35 40 45
10-2
10-1
Point 8
Ni= pt 16, No= pt 16 (pseudo FRF)
0 5 10 15 20 25 30 35 40 45 50
10-2
10-1
100
Point 16
0 5 10 15 20 25 30 35 40 4510
-3
10-2
10-1
100
101
Complex Mode Indicator Function Plot
frequency, (Hz)
LogM
ag
Mode 1 (Ambient)
0 5 10 15 20 25 30 35 40 4510
-3
10-2
10-1
100
101
eFRF Log Magnitude for Mode at 5.0218 Hz and 0.96495 zeta
Frequency
LogM
agni
tude
0 5 10 15 20 25 30 35 40 45-100
-50
0
50
100eFRF Phase
Frequency
Pha
se
0 5 10 15 20 25 30 35 40 4510
-3
10-2
10-1
100
eFRF Log Magnitude for Mode at 7.7309 Hz and 0.80509 zeta
Frequency
LogM
agni
tude
0 5 10 15 20 25 30 35 40 45-200
-100
0
100
200eFRF Phase
Frequency
Pha
se
Mode 2 (Ambient)
Mode 3 (Ambient)
0 5 10 15 20 25 30 35 40 4510
-3
10-2
10-1
100
eFRF Log Magnitude for Mode at 17.2668 Hz and 0.63745 zeta
Frequency
LogM
agni
tude
0 5 10 15 20 25 30 35 40 45-100
-50
0
50
100eFRF Phase
Frequency
Pha
se
Mode 4 (Ambient)
0 5 10 15 20 25 30 35 40 4510
-4
10-3
10-2
10-1
100
eFRF Log Magnitude for Mode at 21.7226 Hz and 0.98202 zeta
Frequency
LogM
agni
tude
0 5 10 15 20 25 30 35 40 45-150
-100
-50
0
50
100eFRF Phase
Frequency
Pha
se
Mode 5 (Ambient)
0 5 10 15 20 25 30 35 40 4510
-3
10-2
10-1
eFRF Log Magnitude for Mode at 28.27 Hz and 0.70873 zeta
Frequency
LogM
agni
tude
0 5 10 15 20 25 30 35 40 45-100
-50
0
50
100
150
200eFRF Phase
Frequency
Pha
se
Mode 6 (Ambient)
0 5 10 15 20 25 30 35 40 4510
-3
10-2
10-1
100
eFRF Log Magnitude for Mode at 34.9627 Hz and 0.6829 zeta
Frequency
LogM
agni
tude
0 5 10 15 20 25 30 35 40 45-200
-100
0
100
200eFRF Phase
Frequency
Pha
se
Mode 7 (Ambient)
0 5 10 15 20 25 30 35 40 4510
-4
10-3
10-2
10-1
eFRF Log Magnitude for Mode at 36.8232 Hz and 0.60536 zeta
Frequency
LogM
agni
tude
0 5 10 15 20 25 30 35 40 45-200
-100
0
100
200eFRF Phase
Frequency
Pha
se