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Switch design optimisation: Optimisation of track gauge and track stiffness
Baneseminaret 2015, Multiconsult, 28 January 2015
Elias Kassa
Professor, Phd
Department of Civil and Transport Engineering, NTNU
Trondheim, Norway
E-mail: [email protected]
2
Outline of presentation
1. Background
2. Train-turnout interaction
3. Track gauge optimisation
4. Track stiffness optimisation
5. Conclusions
3
Background
• Turnouts are composed of a
switch panel, a crossing
panel, and a closure panel
• The maintenance cost is high
in comparison with plain line
• The demand for a novel
turnout design is very high
Facing move Trailing move
4
Common Damage Mechanisms
Fracture Wear Rail Head Cracks Plastic deformation (lipping)
5
Common Damage Mechanisms
Some remedies to reduce maintenance costs are:
1. reducing turnout population (# turnouts)
2. using more durable and advanced materials
3. adopting a preventative maintenance strategy instead of
corrective maintenance
4. optimizing the geometry (layout), support stiffness
(structure) and rail profiles
6
Rail profile optimisation [not part of this presentation]
• The rail cross-section varies in the switch and crossing panels
01
23
45
67
89
10
switch rail
Switch rail
stock rail
7
TRAIN-TURNOUT INTERACTION • Track models
• Track receptance
8
Train-turnout interaction models
Three models
• Vehicle model
• Track model
• Contact model
Vehicle model Wheel/rail contact
model Track model
vvvvvvvv QFqKqCqM
ttttttt FqKqCqM
9
Train-turnout interaction
• The MBS code SIMPACK is used to
model the train-track interaction:
– freight vehicle model, with two Y25
bogies
– track model with time-varying stiffness
and damping values
• The track model is for the standard
turnout type UIC60-760-1:15 (curve
radius 760 m and turnout angle 1:15)
II
IV
Simulation of dynamics
simulation
F v
a) Plasticity
calculation
b) Wear
calculation
III
b
10
Wheel-rail contact
• Accurately solving the wheel-rail
contact detection at S&C is the first step
towards the optimisation exercise
Challenges
0 0.02 0.04 0.06 0.08 0.1
-0.02
-0.015
-0.01
-0.005
0
0 0.02 0.04 0.06 0.08 0.1-0.05
-0.045
-0.04
-0.035
-0.03
-0.025
-0.02
-0.015
-0.01
-0.005
0
S6300 and6600
• Simpack uses rail profile interpolation based on
arc length along the profile curve. Requires
very closely measured (sampled) profiles
11
Track model
• The track model is based on a simple
moving mass-spring-damper system, with
few degrees-of-freedom, that is coupled to
each wheelset
• This is a common method in MBS software
to account for the track dynamics
– It is sufficient for studies of vehicle ride
dynamics
– It doesn’t accurately predict impact loads in
switches and crossings
kbv
kby
cby
cbv
mt, J
cbv kbv
3 degrees-of-freedom
kbv
kpz kby
cby
cpz
cbv
mt, J
cbv kbv
mr mr
kpz cpz
7 degrees-of-freedom
12
)
)
)
)
Applied wheel load
(q)
Rail pad
rail
Ballast
sleep.
Ballast
sleep.
Ballast
sleep.
Ballast
sleep.
Track model
• This modelling approach is useful in parameter studies and
optimisation exercise as several simulation can be run in short time
• The frequency range of the model can be increased by extending the
track model with few more degrees-of-freedom
kz3
kz23
kz3
kz23
kz12 kz12
ky12 ky12
ky2
cy12 cy12
cy2
cz12 cz12
cz23 cz23
cz3 cz3
m1 m1
m3 m3
m2, J
9 degrees-of-freedom
kbv
kpz kby
cby
cpz
cbv
mt, J
cbv kbv
mr mr
kpz cpz
Track receptance
13
TRACK GAUGE OPTIMISATION
14
Track gauge optimisation
• When a vehicle is running through a
switch panel, significant lateral
wheelset displacement develop
– leading to severe flange contact in
the curved switch rail
– sometimes leading to flange contact
in the straight switch rail
Lateral wheelset
displacement,
diverging route
15
Track gauge optimisation
contact point trajectories
contact point jump
• There is an artificial gauge widening on the side of the switch rail (the wheel tries to follow the stock rail)
16
Track gauge optimisation
• There is a short transition with a
two point contact situation for the
through route
• In the diverging route, the contact
with the switch rail starts earlier and
there is a long transition for the load
transfer
• The severe flange contact result in
an increase in wear of the switch
rails and on some occasions rolling
contact fatigue problems
through route
17
Track gauge optimisation
• The aim is to relieve the flange contact with
the switch rail at the early stage by steering
the wheel towards the other rail
• A continuous gauge variation (dynamic
gauge widening) is applied at the switch
entry to balance the artificial gauge increase
contact point trajectories
contact point jump
Evaluate the performance of the optimum design with other load cases
Identify design parameters (maximum gauge widening is the critical parameter)
for facing move
Identify optimal design
for trailing move
• The optimal solutions for the
nominal case is validated by
running a wider set of
simulation cases both in the
facing and trailing moves
18
Optimisation process
The geometry of the gauge variation is
represented parametrically by:
1. Length L1 where radius is Rc
2. Rout (curvature after the jump)
3. LTotal (total length of gauge increase)
• The influence of Rout and LTotal is not
significant as their effect comes after
the contact point jump
• The variable L1 is directly related to the
maximum amplitude of the gauge
increase d
• The optimal design is obtained by
varying the values of d and five levels
are evaluated: d = {8 mm, 12 mm, 16
mm, 18 mm and 20 mm}
RC
L1
LJump
ROut
LTotal
RC
Jump to
straight
Contact on
diverging rail SWITCH RAIL
STOCK RAIL d
19
Track gauge optimisation Results
Facing move
• The wheelset displacement is
reduced to 1.3 - 2 mm, when
using dynamic gauge widening
• The 18 mm and 20 mm gauge
amplitudes lead to a larger
displacement (-6 mm) to the
reverse side
• There is a reduction in wear
index with gauge widening
• Increasing the gauge beyond
18 mm amplitude gives an
adverse effect
20
Track gauge optimisation Results
Trailing move
• Gauge widening designs with
12 mm and 16 mm amplitudes are
examined in trailing move to identify
the optimal design
• The 12 mm gauge widening amplitude
leads to a significant improvement in
the wear index
• The wear index for the 16 mm gauge
widening is rather increased both in the
1st and 2nd contacts
21
Evaluation of the optimum design
• The performance of the optimal design
is assessed by several load cases with
respect to wear and RCF indices
• The load cases are based on 18
measured wheel profiles and 100
realizations generated using one
Karhunen-Loève expansion
• Deterministic analyses were performed
for each realization to determine the
distribution of the response
100 realizations of wheel profile
contact point location
22
Evaluation of the optimum design
• The peak wear index value of
207 N for the nominal case has
reduced to 133 N
• The location of the peak value
has shifted forward
• RCF index exceeded the limit at
several locations for the nominal
case compared to the gauge
optimised geometry
23
TRACK STIFFNESS OPTIMISATION
24
Advanced track design
Steel - Concrete Two Layered Track
(Corus) [source: INNOTRACK]
• offer a more consistent support
• offer a bridging support
• Track stiffness and track inertia
varies along the turnout
vertical track stiffness along
the turnout
25
Track stiffness optimisation
• Measured track receptances at
three locations in the switch at 4.5
m, 9.1 m and 21.85 m from the
front of turnout are used to extract
input data to the track model
• The stiffness in the upper spring-
damper elements of the moving
7-dof track model represents the
combined rail and rail pad
stiffness (kp)
• The remaining flexibility (the
structure underneath the rail pad)
is represented by the lower
spring-damper elements (kb)
kbv
kpz kby
cby
cpz
cbv
mt, J
cbv kbv
mr mr
kpz cpz
7 degrees-of-freedom
Track receptance at location 1
26
Track stiffness optimisation
• There is a 70% change in the
value of kp from location 1 to 3
• There is an 80% increase in the
value of kb
• The aim is to optimise the vertical
track stiffness in the switch panel
• A simple procedure is followed
based on varying the measured
track data parameters
26
27
Track stiffness optimisation
• Two alternative stiffness kp
variation are developed
• This change is expected to be
gained by adjusting the rail pad
stiffness along the turnout
• In kp_v1, the value of kp is
– increased by 30% at location 1
– not changed at location 2
– reduced by 15% at location 3
• The overall increase in the kp value
is 11%
• In kp_v2, the value of kp is
– increased by 28% at location 1
– reduced by 6% at location 2
– reduced by 19% at location 3
• This limits the stiffness increase to about 8%
28
Track stiffness optimisation
• The lower spring-damper element
stiffness (kb) is also adjusted
• The value of kb is increased by
20% at location 1, reduced by
10% at location 2 and reduced by
20% at location 3
• The overall change in the value of kb
has reduced to 15%
• This change is expected to be gained
by adjusting under sleeper pads and
ballast mats along the turnout
29
Track stiffness optimisation
Results
• A slight reduction in wear index
is obtained when only kp is
adjusted
• Varying only kb reduces the wear
index at the second contact point
by almost a half
• The peak wear index is reduced
by 50% at the first contact point
and by 80% at the second
contact point when using a
combined kp and kb optimised
values
30
Conclusions
• Several gauge widening amplitudes have been analysed
• Larger gauge amplitudes lead to larger displacements to the other side
of the track which cause additional lateral excitation
• The geometry with 12 mm gauge widening amplitude resulted in an
improved performance, both in the facing and trailing moves for the
through route
• The main benefits are very significant reduction of wear and RCF
indices at all times along the switch panel, and therefore improved
behaviour in terms of wear and rolling contact fatigue
• Also, the optimised geometry showed more consistency in the results
when using different wheel profiles
31
Conclusions
• With gauge optimisation the contact points near the gauge
corner move towards the rail head and this relieves the flange
contact
• Reducing the stiffness variation along the switch panel seems to
improve the performance of the turnout
• There has been demonstration tests in Sweden with different rail
pad stiffness to validate the technique