smart rock technology for real-time monitoring of...
TRANSCRIPT
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Genda Chen, P.E., Ph.D., F.ASCE, F.SEIProfessor and Robert W. Abbett Distinguished Chair in Civil EngineeringDirector, System and Process Assessment Research Laboratory (SPAR Lab)Associate Director, Mid-America Transportation Center (MATC)Missouri University of Science and Technology (Missouri S&T)Http://web.mst.edu/~gchen; [email protected]
3rd Technical Advisory Council Meeting on April 1, 2016
SMART ROCK TECHNOLOGY FOR REAL-TIME MONITORINGOF BRIDGE SCOUR AND RIPRAP EFFECTIVENESS– GUIDELINES AND VISUALIZATION TOOLS
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OUTLINE OF THIS PRESENTATION
• The Smart Rock Monitoring Concept
• Design and Prototyping
• Localization and Effectiveness
• Field Test Demonstration
• Concluding Remarks
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THE SMART ROCK MONITORING CONCEPT
• Two Application Scenarios– Scour Depth
Deposits at a bridge pier or abutment are washed away to form a scour holewith unknown location and depth.
– Countermeasure Effectiveness Move of rocks leads to the loss of a
rip-rap countermeasure for bridgescour protection.
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Water
River bank
Current flow
Pier
Bridge deck
Scour hole
Natural rocksSmart rocks Piles Soil deposits
Multiple measurement stations using one magnetometer
Fig. 2 Scour Countermeasure Monitoring
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• Arbitrarily Oriented System (AOS) Monitored along the river bank or on the bridge deck Most complicated in smart rock localization
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AOS Model of Smart Rocks
DESIGN AND PROTOTYPING
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• Automatically Pointing-South System (APSS) Monitored along the river bank Measurement station located in South or North pole of the magnet Rapid convergence and high accuracy of APSS location However, easily affected by ferromagnetic substances
5
APSS Model of Smart Rocks(a) Schematic View (b) Prototype Smart Rock
10.1
6cm
5.08cm
r=10cm
N S
Level Bubble
Copper Beeds
PropyleneGlycol
R=11cm
DESIGN AND PROTOTYPING
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• Automatically Pointing-Up System (APUS) Automatically Pointing to Upward System (APUS) Measurement apparatus set on the bridge deck Gravity-orientated direction, reduces the degree of freedom, less effect
by ferromagnetic substance
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(a) One N45 Magnet (b) Prototype Smart Rock
R=14cm r=12
.5cm
N
S
Level Bubble
5.05
cm
15.24cm
Copper Beeds
PropyleneGlycol
DESIGN AND PROTOTYPING
(b) Two N42 Magnets
R=14cm r=12
.5cm
N
SLevel Bubble
10.1
6cm
10.16cm
Copper Beeds
PropyleneGlycol
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• Concrete Encasement and Fabrication– 36.83-cm-diameter mold with a concrete density of 1495 kg/m3
– Fabrication process
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R2=14.0cm R1=12
.5cm
N
SLevel Bubble
R3=18.415cm
R2=14.0cm R1=12
.5cm
N
S
Level Bubble
R3=18.415cm Two Stacked N42 MagnetOne N45 Magnet
DESIGN AND PROTOTYPING
2. Place APUS inside a mold
1. Mix fiber concrete
3. Fill the mold with concrete
4. Cure the concrete in water for 14 days
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LOCALIZATION AND EFFECTIVENESS
• Ambient Magnetic Field at Q Station in Absolute XYZ Coordinate System
Ambient Ferromagnetic Substances BA, Ambient Magnetic Field Vector
at a Measurement station, Q (X,Y,Z) Three components of BA:
BA, measured by magnetometer θ (0, π) and φ θ (0, 2π) measured
by an orientation device
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cos cos XA AB B
cos sin YA AB B
sinZA AB B
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LOCALIZATION AND EFFECTIVENESS
• Total Magnetic Field at Q Station in Absolute XYZ Coordinate System
Total Magnetic field intensity:
B = B (BA, θ, φ, k, XM, YM, ZM, α, β, γ, X, Y, Z) at a Measurement station, Q (X,Y,Z)
Given k, θ , φ and BA at each (X, Y, Z),B = B (XM, YM, ZM, α, β, γ)
Magnet’s effect:
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2 2 2( ) ( ) ( ) XM XA YM YA ZM ZAB B B B B B B
5
1 2 2 2 5
5
3 /(2 ) /
3 /
TXM
YM
ZM
k xy rBB k y x z rB k zy r
cos cos cos sin sinsin sin cos cos sin sin sin sin cos cos sin coscos sin cos sin sin cos sin sin sin cos cos cos
T
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LOCALIZATION AND EFFECTIVENESS
• Localization Algorithm– Unknown Orientation
SRSS error between predicted intensity and the measured intensity ,
– Known Orientation (α=0, β=0, and γ=0)
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( ) ( ) 2
1( , , Z , , , ) [ ]
i
nP M
M M M ii
J X Y B B
( , ,Z , , , ) 0M M M
M
J X YX
( , ,Z , , , ) 0M M M
M
J X YY
( , ,Z , , , ) 0M M M
M
J X YZ
( , , Z , , , ) 0M M MJ X Y
( , , Z , , , ) 0M M MJ X Y
( , , Z , , , ) 0M M MJ X Y
( )i
PB ( )MiB
( , ,Z ) 0M M M
M
J X YX
( , ,Z ) 0M M M
M
J X YY
( , ,Z ) 0M M M
M
J X YZ
( ) ( ) 2
1
( , , Z ) [ ]i
nP M
M M M ii
J X Y B B
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LOCALIZATION AND EFFECTIVENESS
• Experimental Validation Procedure– Before a smart rock is deployed, the ambient magnetic
field of the Earth and environmental effects was evaluated at each measurement point either by a scalar magnetometer and an orientation device or by a three-component magnetometer.
– After the smart rock is deployed, the total magnetic field of the magnet and the ambient field was measured with the same magnetometer at various points around the smart rock.
– The coordinates of measurement points were surveyed by a total station – a survey instrument.
– The intensity and coordinate measurements at six or more stations allowed the determination of the smart rock’s location.
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LOCALIZATION AND EFFECTIVENESS• Experimental Validation
– Test Setup A scour experienced pier Three Locations M1, M2, and M3
for AOS and APSS Total 34 measurement points Total Station at Point B to
survey coordinates of three smart rocks' locations and 34 sensor positions
MFDD was set at the 34 pointsto measure the angles ofθ and φ
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1
2 3
4
56
78 9
10
1112
131415
1617
18
19
20
21
22
23
2425
26
27
28 29
30
3132
33
34
M1
M2
M3
B X(W)
Y(S)
Pier
A
C
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LOCALIZATION AND EFFECTIVENESS
• Experimental Validation– Test Results (M3APSS)
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Location of Sensor Head X(m) Y(m) Z(m) Bi(M) (nT)
P9 10.940 -2.065 -0.657 52766P11 11.991 -3.082 -0.558 52422P12 10.670 -3.162 -0.670 55203… … … … …
P20 9.822 -2.717 -0.635 55164P21 9.413 -3.877 -0.748 63734P23 8.313 -4.215 -0.501 59204P25 7.750 -4.591 -0.858 58350P26 7.315 -4.055 -0.726 56087P27 8.043 -3.046 -0.553 55198
Predicted APSS Location M3APSS 9.527 -5.520 -1.850
N/AMeasured APSS Location M3APSS 9.576 -5.584 -1.822
Location Prediction Error for M3APSS -0.049 0.064 -0.028
SRSS Error in Coordinate 0.085m
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LOCALIZATION AND EFFECTIVENESS
• Experimental Validation– Test Results (M3AOS)
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Location of Sensor Head X(m) Y(m) Z(m) Bi(M) (nT)
P9 10.940 ‐2.065 ‐0.667 52651 P12 10.670 ‐3.162 ‐0.680 54660 P13 12.031 ‐4.399 ‐0.745 52095 … … … … …P20 9.822 ‐2.717 ‐0.645 54929 P21 9.413 ‐3.877 ‐0.758 62508 P23 8.313 ‐4.215 ‐0.511 59364 P25 7.750 ‐4.591 ‐0.868 59523 P26 7.315 ‐4.055 ‐0.736 56642 P27 8.043 ‐3.046 ‐0.563 55399
Predicted AOS Location M3AOS 9.514 ‐5.519 ‐1.860
N/AMeasured AOS Location M3AOS 9.576 ‐5.584 ‐1.837
Location Prediction Error for M3AOS ‐0.062 0.065 ‐0.023
SRSS Error in Coordinate 0.093m
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Comp. 2
Comp. 1
Comp. 3
Comp. 4
xy
z
Comp. 5
FIELD TEST DEMONSTRATION
• Test “Crane” Design– Lightweight, easy installation, rapid assembling, and cost effectiveness– Minimal wind-induced disturbance– Non-magnetic materials in proximity to the sensor
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Prism 2Prism 1
Prism 3Sensor
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FIELD TEST DEMONSTRATION
• Test “Crane” Prototype/Product
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FIELD TEST DEMONSTRATION• Three-axis Flux Digital Magnetometer (STL)
– Manufactured by Systemtechnic Ludwig GmBH, Konstanz, Germany– STL DM050: measure X-, Y- and Z- component and total field– 50 meters Coax cable for power and data transmission– Interface : Coax Ethernet Hub for connection of up to 3 magnetometers– STL GradMag software installed in a Notebook for full controlling of
measurement, data acquisition and viewer– Field range: ±1,000,000nT– Resolution: 0.002nT– Maximum sample rate: 10 kHz
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FIELD TEST DEMONSTRATION
• HWY1 Waddell Creek Bridge, CA
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FIELD TEST DEMONSTRATION
• Setup and Layout on Bridge Deck • Test Procedure
– Set a Cartesian Coordinate System– Ambient Magnetic Field Measurement– Deployment of Smart Rocks– Measurement of the Total Magnetic Field
• Results from Bridge Deck Measurements
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FIELD TEST DEMONSTRATION• Measurement Station Layout on Bridge Deck
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M esh 4
Z7
Y 1 Y 2 Y 3 Y 4
Z1Z2Z3Z4Z5Z6Z7
Bridge D eck
Z1
Total StationA butm ent 1 Bent 2
San Fransisco
Z2Z3Z4Z5
Y
Z
SR2
Y 2
SR1
Y 1 Y 4 Y 5
Santa Cruz
Y 3
Z6
M esh 2
M esh 1M esh 3
SR3
SR2 SR1SR3
Total Station
Y
X
X 4X 3X 2X 1
Y 2Y 1 Y 4 Y 5Y 3Y 2Y 1 Y 4Y 3
X 4X 3X 2X 1
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FIELD TEST DEMONSTRATION• Test Setup and Layout
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Prism 2Prism 1
Prism 3Sensor
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FIELD TEST DEMONSTRATION• Test Set up and Layout
– Measurement Points Layout on the Bridge Deck
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FIELD TEST DEMONSTRATION• Test Procedure
– Set a Cartesian coordinate system O-XY Point A- Permanent Benchmark Total station at Point A to set coordinate system
as A-xy Survey Point B and O under
A-xy coordinate system Set up total station at Point O to
determine the final coordinateO-XY
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B
Abutment1
Bent 2
Bent 3
Bent 4
Abutment 5Total Station
Y
X
River Flow
Sant
a C
ruz
San
Fran
sisc
o
O
A-Benchmark
Cx
y
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FIELD TEST DEMONSTRATION• Test Procedure
– Measure the Ambient Magnetic Field Magnetic field from Earth and ambient ferromagnetic constructions Conduct before deployment of the smart rock Abutment 1 Measurement: Y1, Y2, Y3 along Y axis, X1, X2, X3, X4 along X
axis, and Z1,Z2, ..., Z7 along Z axis, total 84 points. Bent 2 Measurement: Y1, Y3, Y5 along Y axis, X1, X2, X3, X4 along X axis,
and Z1,Z2, ..., Z7 along Z axis, total 84 points. Measurement points sequence:
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Y1
X1
X2
X3
X4
Z1 to Z7
Z7 to Z1
Z1 to Z7
Z7 to Z1
Y2orY3
X1
X2
X3
X4
Z1 to Z7
Z7 to Z1
Z1 to Z7
Z7 to Z1
X1
X2
X3
X4
Z1 to Z7
Z7 to Z1
Z1 to Z7
Z7 to Z1
Y3orY5
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FIELD TEST DEMONSTRATION• Test Procedure
– Deploy Three Smart Rocks Smart Rock 1 (SR1) & Smart Rock 2 (SR2) around Bent 2 Smart Rock 3 (SR3) around Abutment 1
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BSR3
SR2
SR1
Abutment1
Bent 2
Bent 3
Bent 4
Abutment 5Total Station
Y
X
River Flow
Sant
a C
ruz
San
Fran
sisc
o
SR3SR3
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FIELD TEST DEMONSTRATION• Test Procedure
– Deploy Three Smart Rocks
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SR1SR1
SR2SR2
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FIELD TEST DEMONSTRATION• Test Procedure
– Measure the Total Magnetic Field Intensity Magnetic field from both smart rock and AMF. Abutment 1 Measurement: Y1, Y2, Y3 along Y axis, X1, X2, X3, X4 along X
axis, and Z1,Z2, ..., Z6 along Z axis, total 72 points. Bent 2 Measurement: Y1, Y3, Y5 along Y axis, X1, X2, X3, X4 along X axis,
and Z1,Z2, ..., Z7 along Z axis, total 84 points. Measurement points sequence same as that of AMF.
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SR3Y1X1Z7SR3
Y1X1Z7
SR3Y1X4Z1SR3
Y1X4Z1
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FIELD TEST DEMONSTRATION• Test Results
– Coordinates and Intensities at Measurement Points around Abutment 1
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Measurement Points Coordinate (m)
N42 Magnet Factor
(nT.m3)AMF Intensity (nT) SR3 & AMF Intensity (nT)
Xi Yi Zi K BXA BYA BZA BA BX BY BZ B
Y1X2Z1 0.656 42.259 -0.942 86521 -18675 -9823 -40007 45230 -17485 -6252 -41897 45828 … … … … … … … … … … … … …Z6 0.768 42.345 0.573 86521 -18661 -9888 -40226 45433 -19943 -7237 -40802 45988
Y1X3Z1 1.693 42.293 -1.141 86521 -18243 -9707 -39974 45000 -13343 -8111 -48963 51393 … … … … … … … … … … … … …Z6 1.736 42.275 0.366 86521 -18878 -9675 -40509 45727 -19475 -7190 -42452 47256
Y1X4Z1 2.341 42.387 -1.085 86521 -16406 -10804 -40258 44795 -13358 -11669 -54780 57580 … … … … … … … … … … … … …Z6 2.444 42.329 0.319 86521 -17707 -10784 -41228 46147 -18941 -7994 -44345 48879
Y2X2 … … … … … … … … … … … … …Y2X3 … … … … … … … … … … … … …Y2X4 … … … … … … … … … … … … …Y3X2 … … … … … … … … … … … … …Y3X3 … … … … … … … … … … … … …Y3X4 … … … … … … … … … … … … …
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FIELD TEST DEMONSTRATION• Test Results
– Localization of SR3
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Point Name Measurement Points Coordinate (m)
N42 Magnet Factor
(nT.m3)
AMF Intensity (nT) SR3 & AMF Intensity (nT)
Xi Yi Zi K BXA BYA BZA B
Y1X2Z1 0.656 42.259 -0.942 86521 -18675 -9823 -40007 45828 … … … … … … … … …Z6 0.768 42.345 0.573 86521 -18661 -9888 -40226 45988
Y1X3Z1 1.693 42.293 -1.141 86521 -18243 -9707 -39974 51393 … … … … … … … … …Z6 1.736 42.275 0.366 86521 -18878 -9675 -40509 47256
Y1X4Z1 2.341 42.387 -1.085 86521 -16406 -10804 -40258 57580 … … … … … … … … …Z6 2.444 42.329 0.319 86521 -17707 -10784 -41228 48879
… … … … … … … … … …Predicted SR3 Location 2.789 41.302 -2.823
NAMeasured SR3 Location 2.714 41.104 -2.527
Location Prediction Error for SR3 0.075 0.198 -0.296
SRSS Error in Coordinate 0.364
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FIELD TEST DEMONSTRATION
• I-44 Roubidoux Ceek Bridge, MO (Bent 7 downstream)
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FIELD TEST DEMONSTRATION
• Measurement Station Layout on Bridge Deck
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Bridge Deck
Total Station
Bent 8 Bent 7
Springfield
Z
Rolla
6.0m
1.8m Mesh 2
Mesh 1
Total Station
X2
X1
Y1 Y3Y20.
4m
X2
X1
Bent 6
Y
X
Y
Z1Z2Z3Z4Z5Z6Z7
Z1Z2Z3Z4Z5Z6Z7
O
O
1.8m
2.3m
SR1
SR1
Z1Z2Z3Z4Z5
Y1
Z6Z7
Y2 Y3
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FIELD TEST DEMONSTRATION
• Test Setup and Layout
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FIELD TEST DEMONSTRATION
• Test Set up and Layout– Measurement Points Layout on the Bridge Deck
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FIELD TEST DEMONSTRATION
• Test Procedure– Set a Cartesian coordinate system O-XY
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B
Total Station
Y
X
Bent 6
Bent 7
Bent 8
River FlowSp
ringf
ield
Rol
la
A-Benchmark
O
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FIELD TEST DEMONSTRATION• Test Procedure
– Ambient Magnetic Field Measurement Magnetic field from Earth and ambient ferromagnetic constructions Conduct before deployment of the smart rock Bent 7 Measurement: Y1, Y2, Y3 along Y axis, X1, X2 along X axis, and
Z1,Z2, ..., Z7 along Z axis, total 42 points. Measurement points sequence:
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Y1X1
X2
Z1 to Z7
Z7 to Z1Y2 Y3
X1
X2
Z1 to Z7
Z7 to Z1
X1
X2
Z1 to Z7
Z7 to Z1
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FIELD TEST DEMONSTRATION• Test Procedure
– Deployment of Smart Rocks Smart Rock 1(SR1) around Bent 7
36
B
Total Station
Y
X
River Flow
Sprin
gfie
ldR
olla
SR1
A-Benchmark
O
Bent 6
Bent 7
Bent 8
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FIELD TEST DEMONSTRATION• Test Procedure
– Measure the Total Magnetic Field Intensity Magnetic field from both smart rock and AMF. Bent 7 Measurement: Y1, Y2, Y3 along Y axis, X1, X2, along X axis, and
Z1,Z2, ..., Z7 along Z axis, total 42 points. Measurement points sequence same as that of AMF.
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FIELD TEST DEMONSTRATION• Test Results
– Coordinates and Intensities at Measurement Points around Bent 7
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Measurement Points Coordinate (m)
N42 Magnet Factor
(nT.m3)AMF Intensity (nT) SR3 & AMF Intensity (nT)
Xi Yi Zi K BXA BYA BZA BA BX BY BZ B
Y1X1Z1 3.854 21.793 -1.002 86521 22781 1016 -48909 53964 21379 -827 -48734 53224
… … … … … … … … … … … … …Z7 3.834 21.554 0.795 86521 22631 2399 -48778 53826 22073 253 -48957 53703
Y1X2Z1 2.068 21.869 -0.993 86521 22776 1666 -48933 53999 18988 6554 -49341 53274
… … … … … … … … … … … … …Z7 2.083 21.606 0.781 86521 22496 3237 -49477 54447 21054 7653 -50118 54896
Y2X1 … … … … … … … … … … … … …Y2X2 … … … … … … … … … … … … …Y3X1 … … … … … … … … … … … … …Y3X2 … … … … … … … … … … … … …
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FIELD TEST DEMONSTRATION
• Test Results– Localization of SR1
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XM/m YM/m ZM/m
Predicted SR1 Location 0.063 23.491 -3.032
Measured SR1 Location 0.089 23.235 -3.042
Location Prediction Error for SR1 0.026 0.256 -0.010
SRSS Error in Coordinate 0.258m
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FIELD TEST DEMONSTRATION
• US63 Gasconade River Bridge, MO (Bent 4 upstream)
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FIELD TEST DEMONSTRATION
• Measurement Station Layout on Bridge Deck
41
Bridge Deck
Total Station
Bent 4
Rolla
Z
Jefferson City
9.0m
2.0m Mesh 2
Mesh 1
Total Station
X2
X1
Y1 Y3Y20.
4m
X2
X1
Bent 5
Y
X
Y
2.0m
1.8mSR1
Z1Z2Z3Z4Z5
Y1
Z6Z7
Y2 Y3
Z1Z2Z3Z4Z5Z6Z7
Z1Z2Z3Z4Z5Z6Z7
O
O
Bent 3
Bent 2
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FIELD TEST DEMONSTRATION
• Test Setup and Layout
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FIELD TEST DEMONSTRATION
• Test Set up and Layout– Measurement Points Layout on the Bridge Deck
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FIELD TEST DEMONSTRATION
• Test Procedure– Set a Cartesian coordinate system O-XY
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OX
Y
Bent 5
Bent 4
Bent 3
Bent 2
A-Benchmark
B
Rol
laJe
ffer
son
city
River Flow
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FIELD TEST DEMONSTRATION• Test Procedure
– Ambient Magnetic Field Measurement Magnetic field from Earth and ambient ferromagnetic constructions Conduct before deployment of the smart rock Bent 4 Measurement: Y1, Y2, Y3 along Y axis, X1, X2 along X axis, and
Z1,Z2, ..., Z7 along Z axis, total 42 points. Measurement points sequence:
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X2Y3Y2Y1
Z1 to Z7Z1 to Z7Z1 to Z7
X1Y1Y2Y3
Z1 to Z7Z1 to Z7Z1 to Z7
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FIELD TEST DEMONSTRATION• Test Procedure
– Deployment of Smart Rocks Smart Rock 1(SR1) around Bent 4
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SR1
OX
Y
Bent 5
Bent 4
Bent 3
Bent 2
A-Benchmark
B
Rol
laJe
ffer
son
city
River Flow
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FIELD TEST DEMONSTRATION
• Test Procedure– Measure the Total Magnetic Field Intensity
Magnetic field from both smart rock and AMF. Bent 7 Measurement: Y1, Y2, Y3 along Y axis, X1, X2, along X axis, and
Z1,Z2, ..., Z7 along Z axis, total 42 points. Measurement points sequence same as that of AMF.
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X1Y1Y2Y3
Z1 to Z7Z1 to Z7Z1 to Z7
X2Y1Y2Y3
Z1 to Z7Z1 to Z7Z1 to Z7
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FIELD TEST DEMONSTRATION• Test Results
– Coordinates and Intensities at Measurement Points around Bent 7
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Measurement Points Coordinate (m)
N45 Magnet Factor
(nT.m3)
AMF Intensity (nT) SR3 & AMF Intensity (nT)
Xi Yi Zi K BXA BYA BZA BA BX BY BZ B
Y1X1Z1 2.931 63.700 -11.014 101770 -16429 -6508 -47393 50580 -15752 -5836 -47896 50756 … … … … … … … … … … … … …Z7 3.016 63.526 -9.198 101770 -16125 -5723 -47231 50235 -15817 -5403 -47516 50370
Y1X2Z1 2.949 68.191 -10.988 101770 -17208 -7072 -46566 50145 -16512 -7637 -46998 50397 … … … … … … … … … … … … …Z7 2.895 67.757 -9.221 101770 -17613 -6984 -46113 49854 -17124 -5446 -46719 50056
Y2X1 … … … … … … … … … … … … …Y2X2 … … … … … … … … … … … … …Y3X1 … … … … … … … … … … … … …Y3X2 … … … … … … … … … … … … …
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FIELD TEST DEMONSTRATION
• Test Results– Localization of SR1– The ground truth of the coordinate is SR1 was not
measured due to the fast water current.– The predicted location is reasonable according to the
relative position to the measurement points.
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XM/m YM/m ZM/m
Predicted SR1 Location 0.460 68.168 -17.002
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CONCLUDING REMARKS
• The APUS smart rocks have been deployed at three sites of the Waddell Creek Bridge, CA, the Roubidoux Creek Bridge, MO, and the Gasconade River Bridge, MO.
• The AOS, APSS, and APUS smart rock localization algorithms without and with knowing the magnet polarization in a priorihave been validated at the three sites, all giving satisfactory results (<< 0.5 m).
• The test crane can be set on a trailer and moved as needed in application.
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ACKNOWLEDGEMENTS• Financial support for this study was provided by the U.S.
Department of Transportation Office of the Assistant Secretary for Research and Technology (USDOT/OST-R) under Cooperative Agreement No. OASRTRS-14-H-MST and by Missouri Department of Transportation (in-kind).The views, opinions, findings and conclusions reflected in this presentation are the responsibility of the presenter only and do not represent the official policy or position of the USDOT/OST-R or any State or other entity.
• Thanks are due to California and Missouri Departments of Transportation for their assistance in traffic control during field tests.
• Thanks are also due to graduate students (Yan Tang, Zhaochao Li, Yizheng Chen, Steve Guo, Fan Liang), senior specialist (Jason Cox), and engineering technicians (John Bullock, Greg Leckrone, Gary Abbott, and Brian Swift).
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