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7/23/2019 06 Line 5 Final Presentation to MSP 2015-1-13
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Transportation Technology Center, Inc., a subs idiary o f the Association of American Railroads
© TTCI/AAR, 2015. filename, p1
Final Presentation
MSP Line 5 Cars
2015
Ruben PeñaStan Gurule
Russ Walker
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© TTCI/AAR, 2015, Filename p2
®Alstom/CAF
Line 5 Car ♦ Objective: Characterize and measure the performance
of the Line 5 fleet and make recommendations for any
necessary changes to optimize suspensionperformance.
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© TTCI/AAR, 2015, Filename p3
®
BogieArrangementViewLine 5 Car
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© TTCI/AAR, 2015, Filename p4
®Bogie Arrangement Line 5 Car
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© TTCI/AAR, 2015, Filename p5
®Method
♦ Characterize the track
♦ Characterize the cars
♦ Truck load equalization (dQ/Q) testing of cars♦ Test the cars at Capao Redondo yard on the curve and
perturbed tracks installed by MSP for this purpose.
♦ Use computer modeling of the car to estimate wheel
loads and L/V Ratio in a variety of condit ions
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© TTCI/AAR, 2015, Filename p6
®Performance Criteria
♦ The performance measures selected for the
computer modeling study and tests are based
on:
●United States (US) Code of Federal Regulations (CFR)Title 49 Part 213.333 Vehicle Track Interaction safetylimits.
● American Public Transit Association Wheel LoadEqualization Requirements APTA SS-M-014-06“Standard for Wheel Load Equalization of PassengerRailroad Rolling Stock.
●Flange climb indicator based on flange contact position
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© TTCI/AAR, 2015, Filename p7
®Performance Criteria
♦ United States (US) Code of
Federal Regulations (CFR)
Title 49 Part 213.333 Vehicle
Track Interaction safety limits.
●Wheel L/V ratio safety limit is afunction of flange angle and is0.95 for the 70-degree flange
used on Line 5 cars.
●The net axle lateral L/V ratiosafety limit is a function of axleload and is 0.61 for the empty
Line 5 car and 0.54 for theloaded Line 5 car.
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© TTCI/AAR, 2015, Filename p8
®Performance Criteria
♦ APTA Wheel Load Equalization Requirements
●Class G - where the track twist is maintained to less than 76.2mm (3 in) over 8.9 m (62 ft) track length.
▲35 percent wheel load at 63.5 mm (2.5 in)
▲No wheel lift at 76.2 mm (3 in).
●Class R - where the track twist is maintained to less than 76.2mm (3 in) over 8.9 m (62 ft) track length and additionally islimited to no more than 57.2 mm (2.25 in) in 3.0 m (10 ft).
▲35 percent wheel load at 50.8 mm (2 in)
▲No wheel lift at 63.5 mm (2.5 in).
●These requirements may be too restrictive because MSPmaintains their track to <12 mm track twist in 4 m.
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© TTCI/AAR, 2015, Filename p9
®Performance Criteria
♦ Flange Climb Indicator
●The turnout defect simulation data was somewhat unusual.
▲Normally the single wheel L/V ratio analyzed with the 1.52 m(5 ft) moving window as specified by the CFR limits is a goodindicator of flange climb derailment potential, but in the caseof these turnout defect simulations it was not.
▲Because these simulations produced extremely high angle of
attack, and large lateral track displacements occurring over avery short distance, the simulations sometimes predictedderailment even when the 5ft window L/V ratio met thecriterion.
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© TTCI/AAR, 2015, Filename p10
®Performance Criteria
♦ Flange Climb Indicator
Contact below thispoint on the flange
indicates likely flange
climb.
UIC 510-2 wheel profile
UIC 60 rail profile
with 60 deg switch
plane angle
Relative
Rolling Radius
= 19 mm
Location of steepestcontact point. (60
deg)
Note: The Wheel L/V Ratio Safety limit for this
condition is only 0.66 because the maximum contact
angle (60 deg) is smaller than the flange angle (70
deg).
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© TTCI/AAR, 2015, Filename p11
®Performance Criteria
♦ Flange Climb Indicator
Simulation of 1:5 turnout with 1.8m defect (switch embedding) at 34kph. This figure shows the
highest contact angle (60 degrees) at the simulation distance of 53m. The rolling radius at this
location is about 0.019m.
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© TTCI/AAR, 2015, Filename p12
®Performance Criteria
♦ Flange Climb Indicator
Simulation of 1:5 turnout with 1.8m defect (switch embedding) at 34kph. This figure shows a
flange climb derailment even though the wheel L/V ratio only just reached 0.66 and then for well
less that 1.52 m distance.
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© TTCI/AAR, 2015, Filename p13
®Suspension Modification
♦ The car was designed with a 4-point airspring
suspension. To improve performance TTCI suggested it
be modified to a 3-point suspension.
60L
Reservoir
60L
Reservoir
Cab EndLeveling Valve
42mm pipe
Equalizing Valve
No orifice No orifice
60L
Reservoir
Non-Cab EndLeveling Valve
42mm pipe
Equalizing Valve
No orifice No orifice
60L
Reservoir
60L
Reservoir
60L
Reservoir
60L
Reservoir
Cab End
Non-Cab End
Leveling Valve
Leveling Valve
42mm pipe
19mm pipe
Equalizing Valve
19-mm orifice
19-mm orifice
42mm pipe
19-mm orifice
19-mm orifice 19-mm orifice
60L
Reservoir
4 Point 3 Point
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© TTCI/AAR, 2015, Filename p14
®Suspension Modification
♦ Peak-to-peak secondary suspension vertical
displacement measurements during twist and roll tests.
●The plot legend lists the air spring to reservoir orifice size first,followed by the reservoir to reservoir crossover pipe orifice size.
●Displacement is much lower for all configurations of the 3-pointsuspension than the 4-point suspension.
0
0.01
0.020.03
0.04
0.05
0.06
0.07
0.08
0 20 40 60 80
V e r t i c a l
D i s p
. ( m e
t e r s )
Speed
(km/h)
42 mm 15 mm
42 mm 19 mm
25 mm 19 mm
19 mm 19 mm
19 mm 15 mm
4 Point
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© TTCI/AAR, 2015, Filename p15
®Suspension Modification
♦ Peak-to-peak lateral acceleration on the carbody floor
during twist and roll tests.
●Maximum p-p acceleration is lower with the three point car
● Above 44 km/h the acceleration is lower for the 4-point car
●The 3-point car with 15mm reservoir to reservoir crossover pipeorifice has the highest acceleration above 44 km/h
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0 20 40 60 80
L a t e r a
l A c c e
l . ( g )
Speed
(km/h)
42 mm 15 mm
42 mm 19 mm
25 mm 19 mm
19 mm 19 mm
19 mm 15 mm
4 Point
Floor
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© TTCI/AAR, 2015, Filename p16
®Suspension Modification
♦ Minimum vertical wheel load measured using rail strain
gages during twist and roll tests
●3-Point suspension has higher vertical wheel loads for cross
pipe dimension of 19 mm
●There is a large variation in the different 4-point configurationsshown, possibly due to variations in damper condition.
0%
20%
40%
60%
80%
100%
15 35 55 75
M i n i m u m
V e r t i c a
l ( P e r c e n
t o f
S t a t i c )
Speed
(km/h)
42 mm 19 mm
19 mm 19 mm
19 mm 15 mm
4Pt Inst
Car
2011
4Pt 42MM 2013
4Pt 24MM 2013
4Pt Non‐Inst Car 2011
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© TTCI/AAR, 2015, Filename p17
®Model Validation
♦ Truck Load
Equalization
●The truck mustdistribute the load tothe track equally on allthe wheels
●This is key topreventing flange
climb derailmentFlexible body Stiff Body
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© TTCI/AAR, 2015, Filename p18
®Model Validation
♦ Truck Load Equalization – Air springs deflated
●Simulation predictions match the test results very closely.
●Results don’t meet APTA class R requirements
0%
50%
100%
150%
200%
0 20 40 60 80 W h
e e l L o a d ( % o f N o m i n a l )
Wheel 1R Height (mm)
Test 1L
Test 1R
Test 2L
Test 2R
Model 1L
Model 1R
Model 2L
Model 2R
G‐0%R‐35% G‐35%
R‐0%
35% Wheel Load
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© TTCI/AAR, 2015, Filename p19
®Model Validation
♦ Perturbed Track
Tests
●Track geometry
(deviations in thetrack) may excitethe car in somemode of rigid body
vibration
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© TTCI/AAR, 2015, Filename p20
®Model Validation
♦ MSP installed test tracks at Capao Redondo yard
●Cars F085 and F086 were tested in 2011 (4-point)
Yaw
Bounce
Roll
All Tests were
performed eastbound
with F086 Leading
Curve
Line 2
Line 1●MSP modified car F046 to 3-Point for
test purposes in 2013
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© TTCI/AAR, 2015, Filename p21
®Model Validation
♦ Pitch and Bounce
●Model displacements match test well at 70 and 80 km/h, butover estimates the displacements at lower speeds.
●Model accelerations match test at speeds below 60 km/h, butunderestimate the acceleration at higher speeds
0
0.20.4
0.6
0.8
1
30 50 70 90
A c c e l e
r a t i o n ( g )
Speed (km/h)
Test Lead Test
Trail Model
Lead Model
Trail
0
0.01
0.02
0.03
0.04
0.05
30 50 70 90
D i s p l a c e m e n t ( m e t e r s )
Speed (km/h)
Test Lead Left
Test Lead Right
Test Trail Left
Test Trail Right
Model Lead
Left
Model Lead Right
Model Trail Left
Model Trail Right
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© TTCI/AAR, 2015, Filename p22
®Model Validation
♦ Twist and Roll
●Model vertical displacement is higher than the test data,although the trend is similar, showing resonance at the correct
speed.●Model lateral displacement is matches the test data closely.
0
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
20 40 60 80
D i s p l a c e m e n t ( m
e t e r s )
Speed (km/h)
Test Lead Left
Test Lead Right
Test Trail Left
Test Trail Right
Model Lead Left
Model Lead Right
Model Trail Left
Model
Trail
Right
0
0.01
0.02
0.03
0.04
0.05
0.06
20 40 60 80 D i s p l a c e
m e n t ( m e t e r s )
Speed (km/h)
Test Lead Test Trail Model Lead Model Trail
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© TTCI/AAR, 2015, Filename p23
®Turnout Simulations
♦ Statement of Work Requires:
●Diverging route simulation of 1:5, 1:9, and 1:12 turnouts
●New and worn wheel profiles
●New and curve worn rail profiles
●Switch embedding defect simulations for 1:5, 1:9, and 1:12turnouts
●Speeds of 20 km/h and 34 km/h for the 1:5 turnout, and20km/h, 40 km/h, and maximum civil speed for the 1:9 and 1:12turnouts. Maximum civil speeds are 46 km/h for the 1:9 and 70km/h for 1:12.
●Track and wheelset gage variations
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© TTCI/AAR, 2015, Filename p24
®Turnout Simulations
♦ The turnout run
matrix does not
include every
possiblecombination,
but examines
the effect of
each parameter
compared to
the base
simulation.
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© TTCI/AAR, 2015, Filename p25
®Turnout Simulations
♦ New and worn profi les.New Wheel
uic510-2_1361mmbb_860mmdia-r.whl [1]
0 10 20 30 40 50 60 70 80 90 100 110 120 130 140
-30-25
-20-15-10-505
101520253035
4045
New Rail
uic60140_56-1-2_2013-r.ban [1]
-70 -60 -50 -40 -30 -20 -10 0 10 20 30 40 50 60 70
-70-65
-60-55-50-45-40-35-30-25-20-15-10-5
0
5
Worn Wheel
wrnwheel_1361mmbb_860mmdia-r.whl [1]
0 10 20 30 40 50 60 70 80 90 100 110 120 130 140
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
35
40
Worn Rail
curvewornrail-lefthand-extended_1435mm-r.ban [1]
-70 -60 -50 -40 -30 -20 -10 0 10 20 30 40 50 60 70
-70-65-60-55-50-45-40-35-30-25-20-15
-10-505
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© TTCI/AAR, 2015, Filename p26
®Turnout Simulations
♦ Track and Wheelset gage Variations
Back to
Back
Gage
Min 1360 mm
Nom 1361 mm
Max 1362 mm
Min 1433 mmNom 1435 mm
Max 1445 mm
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© TTCI/AAR, 2015, Filename p27
®Turnout Simulation Predictions
♦ The baseline turnout simulations met safety limits
●The worst-case wheel force data occurred on the 1:5 turnout,which has the largest entry angle and the smallest radius
closure curve.
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© TTCI/AAR, 2015, Filename p28
®Turnout Simulation Predictions
♦ The plots show there is
not much variation with
speed or profi le
combination.0.0
0.2
0.4
0.6
0.8
1.0
15 35 55 75
W
h e e l L / V R a t i o
Speed (km/h)
New Rail, New Wheel
New Rail, Worn Wheel
Worn Rail, New Wheel
Worn Rail Worn Wheel
Limit
1:5 Turnout
0.0
0.2
0.4
0.6
0.8
1.0
15 35 55 75
W h e e l L / V R a t i o
Speed (km/h)
New Rail, New Wheel
New Rail, Worn Wheel
Worn
Rail,
New
WheelWorn Rail Worn Wheel
Limit
1:9 Turnout
0.0
0.2
0.4
0.6
0.8
1.0
15 35 55 75
W h e e l L / V R a t i o
Speed (km/h)
New Rail, New Wheel
New Rail, Worn Wheel
Worn Rail, New Wheel
Worn Rail Worn Wheel
Limit
1:12 Turnout
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© TTCI/AAR, 2015, Filename p29
®Turnout Simulation Predictions
♦ Gage Clearance Simulations meet the Safety Limits
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© TTCI/AAR, 2015, Filename p30
®Turnout Simulation Predictions
♦ The plots show there is
not much variation in
performance with gage
clearance except for the1:12 turnout, where
narrow gage clearance
shows lower L/V ratios.
0.0
0.2
0.4
0.6
0.8
1.0
15 35 55 75
W h e e
l L / V R a t i o
Speed (km/h)
New Wh and Ra St Ga and B‐B
New Wh
and
Ra
Nar
Ga
Wide
B
‐B
Worn Wh and Ra St Ga and B‐B
Worn Wh and Ra Wide Ga Nar B‐B
Limit
1:5 Turnout
0.0
0.2
0.4
0.6
0.8
1.0
15 35 55 75
W h e e l
L / V R a t i o
Speed (km/h)
New Wh
and
Ra
St
Ga
and
B
‐B
New Wh and Ra Nar Ga Wide B‐B
Worn Wh and Ra St Ga and B‐B
Worn Wh and Ra Wide Ga Nar B‐B
Limit
1:9 Turnout
0.0
0.2
0.4
0.6
0.8
1.0
15 35 55 75
W h e e l
L / V R a t i o
Speed (km/h)
New Wh and Ra St Ga and B‐B
New Wh and Ra Nar Ga Wide B‐B
Worn Wh and Ra St Ga and B‐B
Worn Wh and Ra Wide Ga Nar B‐B
Limit
1:12 Turnout
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© TTCI/AAR, 2015, Filename p31
®Turnout Defect Simulations
♦ Switch Embedding Defect Simulations
Ramp Length = 1mDefect Length Varies 0 to 2.1m
Mainline Stock Rail
Defect
Switch Rail
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© TTCI/AAR, 2015, Filename p32
®Turnout Defect Simulation Predictions
♦ The 1:5 turnout is the most sensitive to defect length,followed by the 1:9 turnout. The 1:12 turnout was not
sensitive to defect length in the range simulated.
●The 1:5 turnout has lowlikelihood of derailmentfor defect lengths of 0.3m and less
●
The 1:9 turnouts has alow likelihood ofderailment for defectlengths of 1.5 m andless
●The 1:12 turnout haslow likelihood ofderailment for all of thedefect lengths
simulated (up to 2.1 m).
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© TTCI/AAR, 2015, Filename p33
®Turnout Defect Simulation Predictions
♦ Speed is an important
factor to consider with
defect length.
♦ At 20 km/h:
●On the 1:5 turnout the
maximum allowable defectlength increases from 0.3m to 0.9 m
●On the 1:5 turnout themaximum allowable defectlength increases from 1.8m to 2.1 m
0.000
0.005
0.010
0.015
0.020
0.025
0.030
0.035
15 35 55 75
R o l l i n g
R a d i u s
( m ,
t o i n d i c a t e f l a n
g e c o n
t a c t p o s i t i o n
)
Speed (km/h)
NEW
0.3m Defect
0.6m Defect
0.9m Defect
1.2m Defect
1.5m Defect
1.8m Defect
2.1m Defect
Limit
1‐5 Turnout
0.000
0.005
0.010
0.015
0.020
0.025
15 35 55 75
R o l l i n g
R a d i u s
( m ,
t o i n d i c a t e f l a n g e c o n
t a c t p o s i t i o n
)
Speed (km/h)
NEW
0.3m Defect
0.6m Defect
0.9m Defect
1.2m Defect
1.5m Defect
1.8m Defect
2.1m Defect
Limit
1‐9 Turnout
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© TTCI/AAR, 2015, Filename p34
®Turnout Defect Simulation Predictions
♦ Although it is out of the scope of this project to simulate
them, there are several options to reduce the wear on
the switch point that leads to this kind of defect. They
are listed here in case MSP chooses to evaluate them inthe future:
●Slight superelevation can be installed so that the switch pointfor the diverging route movement is elevated slightly.
Preliminary evaluation suggests the use of 12 mm of elevationramped in over 6 to10 m.
● A standard guard rail may be used just ahead of the switchpoint to move the wheelsets to the center of the track before the
point of switch.(continued on next slide)
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© TTCI/AAR, 2015, Filename p35
®Turnout Defect Simulation Predictions
(continued from previous slide)
● A “House Top” or “Cover Guard” can be installed over the
straight switch point to pull the wheelset away from thediverging switch point.
●Installing a FAKOP switch design that uses the alignment of thestock rail to steer the wheelset away from the switch point.
♦ The cost and performance of these options must beweighed against the option of simply performing
additional switch point maintenance.
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© TTCI/AAR, 2015, Filename p36
®Primary Suspension Stiffness Study
♦ Examine the effect of increasing primary suspension
stiffness on vehicle performance.
♦ Simulations focused on regimes that test the load
equalization performance of the vehicle.
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© TTCI/AAR, 2015, Filename p37
®Primary Suspension Stiffness Study
♦ The following inputs were used for primary stiffness
simulations:
●Truck load equalization with airbags inflated (cab end and non-
cab end inputs)●Truck load equalization with airbags deflated (cab end only)
●Nominal gage and back-to-back spacing, new wheel and railprofiles
●Speeds of 10-30 km/h in 5 km/h increments and 34 km/h(maximum civil speed). Total of 6 speeds
●1:5 turnout
●Nominal geometry, a track twist perturbation with amplitude
equal to MSP’s track twist limit and a track twist perturbationwith amplitude equal to twice MSP’s track twist limit
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®Primary Suspension Stiffness Study
♦ MSP’s Track Twist Limit
Outside Rail
Inside Rail8 mm
4 mm
2.5 m
Closure curve of 1:5 turnout
2.5 m 2.5 m
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®Primary Suspension Stiffness
♦ Primary stiffness affects
wheel load equalization
performance
0%
50%
100%
0 25 50 75
P e r c e n t V e r t i c a l L o a d
Wheel 1L Height (mm)
Nominal New
Tuned
2 x Increase
3 x Increase
35% Load
Limit
G‐0%R‐35%G‐35%
R‐0%
35% Wheel
Load
Empty Airbag Deflated
0%
50%
100%
0 25 50 75
P e r c e n t V
e r t i c a l L o a d
Wheel 1L Height (mm)
Nominal New
Tuned
2 X Increase
3 X Increase
35% Load
Limit
G‐0%R‐35% G‐35%
R‐0%
35% Wheel Load
Cab Lead,
Empty
Airbag
Inflated
0%
50%
100%
0 25 50 75
P e r c e n t
V e r t i c a l L o a d
Wheel 1L Height (mm)
Nominal New
Tuned
2 X Increase
3 X Increase
35% Load
Limit
G‐0%R‐35%G‐35%
R‐0%
35% Wheel
Load
Cab Trail,
Empty
Airbag
Inflated
G‐0%R‐35% G‐35%
R‐0%G‐0%R‐35%G‐35%
R‐0%
Cab Trail,
Empty
Airbag
Inflated
G‐0%R‐35% G‐35%
R‐0%
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®Primary Suspension Stiffness
♦ Track twist has a large
effect on performance.
●The model predicted
derailment at speeds above20 km/h for the stiffestsuspension running overover 24mm track twist.
0.0
0.2
0.4
0.6
0.8
1.0
5 15 25 35
W h
e e l L / V R a t i o
Speed (km/h)
Nominal
New Tuned
Model
Stiffness2 x Increase 3 x Increase
Limit
Perfect Track
0.0
0.2
0.4
0.6
0.8
1.0
5 15 25 35
W h e e l
L / V R a t i o
Speed (km/h)
Nominal New Tuned Model Stiffness
2 x Increase 3 x Increase
Limit
Track twist
limit
0.0
0.2
0.4
0.6
0.8
1.0
5 15 25 35
W h e e
l L / V R a t i o
Speed (km/h)
Nominal New Tuned Model Stiffness
2 x Increase 3 x Increase
Limit
Twice track twist limit
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®Conclusions – Suspension Modification
♦ The 3-point suspension improves performance by
reducing vertical secondary suspension displacement
and increasing the minimum vertical wheel loads in the
Twist and Roll zone. These improvements are at theexpense of higher carbody lateral accelerations at
speeds above 44 km/h.
♦
If a small cross pipe orifice size (15mm) is chosen theperformance of the 3-point suspension suffers.
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®Conclusions – Model Validation
♦ Overall the model matches test results reasonably well.
This is demonstrated in conditions that excite the
vehicle vertically, laterally, and on curved track, with the
general trends predicted by the model matching thetrends in the test.
♦ Quasi static truck load equalization simulations match
the test very well, indicating that the model is suitablefor use in parametric studies examining the effect of
primary suspension stiffness on vehicle performance.
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®Conclusions – Turnout Defect Simulations
♦ Simulations show that 1:5 and 1:9 turnouts with defects
longer than 0.3 m and 1.5 m respectively have a
tendency for f lange climb derailment. For the 1:12
turnout defect lengths up to 2.1 m (the longestsimulated) do not show a tendency for f lange climb
derailment.
♦
Speed has a signif icant effect on results of turnoutdefect simulations. If defects longer than recommended
occur on 1:5 or 1:9 turnouts, the risk of f lange climb
derailment could be reduced by applying a speed
restriction of 20 km/h or less.
C l i T t D f t Si l ti
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®Conclusions – Turnout Defect Simulations
♦ Possible actions to decrease the wear that leads to
turnout defects are:
●Installing a small amount of superelevation at the switch point.
Possibly as much as 12 mm ramped in over 6 to 10 m.●Installing guardrails ahead of the switch points.
●Installing a “Housetop,” which is a guardrail at the switch points.
●Installing a FAKOP switch design that uses the alignment of the
stock rail to steer the wheelset away from the switch point.
♦ These options were not analyzed as part of this project.
The cost and performance of these options must be
investigated and weighed against the option of simply
performing additional switch point maintenance.
C l i P i Stiff
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®Conclusions – Primary StiffnessSimulations
♦ Simulation predictions show that while primary stiffness
has a signif icant effect on truck load equalization
results, the effects are smaller for simulations using
track twist perturbations based on the normal MSP tracktwist maintenance limit.
♦ Primary stiffness simulations showed that the vehicle
performance is sensitive to track twist perturbations,
even at nominal primary stiffness values. Simulations
of a 1:5 turnout with a 24mm track twist perturbation
predict derailment for the highest primary stiffness at
speeds above 20 km/h
R d ti
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®Recommendations
♦ MSP should consider retrofitting the original Line 5 fleet
to the three point suspension using a 19mm air spring
to reservoir orifice and a 19mm reservoir to reservoir
crossover pipe orifice.●Test data showed that the three point modification may produce
higher lateral acceleration at some speeds. This should bechecked by measuring the ride quality of an existing design car
(or cars) and a modified car (or cars) when operated over theline at normal speeds. Care should be taken to control oraccount for other variables that would also affect the ridequality, such as speed, damper condition, wheel profile, traindirection, and track condition.
●MSP should evaluate the clearance envelope of the vehicle withthe three point suspension modification.
Recommendations
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®Recommendations
♦ The 1:5 turnout, and to a lesser extent the 1:9 turnout
are very sensitive to switch point wear. MSP should
carefully maintain switch points to avoid flange climb
derailments.♦ The maximum primary stiffness in the worn condition
should be maintained at 1.5 kN/mm or less at each axle
box for Line 5 cars. This is consistent with the stiffness
used in the model to closely match the results
measured in the test of the worn vehicle. To ensure
safety at this stiffness level MSP should continue to
maintain track twist to less than 12 mm in 4 m on all oftheir tracks.