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Simpack-Scripting Techniques Used in Parameter- Variation Analysis of Rail Vehicle Dynamics Shiping Dongfang, M.Eng. | Chair of Rail Vehicles | DASSAULT SYSTÈMES User Conference 2018

Simpack-Scripting Techniques Used in Parameter- Variation ... · UGM -2016/Euro MBS Siemens Girstmair.pdf Source: Simpack 9.10 help . Desired functionalities and their realization

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Page 1: Simpack-Scripting Techniques Used in Parameter- Variation ... · UGM -2016/Euro MBS Siemens Girstmair.pdf Source: Simpack 9.10 help . Desired functionalities and their realization

Simpack-Scripting Techniques Used in Parameter-

Variation Analysis of Rail Vehicle Dynamics

Shiping Dongfang, M.Eng. | Chair of Rail Vehicles | DASSAULT SYSTÈMES User Conference 2018

Page 2: Simpack-Scripting Techniques Used in Parameter- Variation ... · UGM -2016/Euro MBS Siemens Girstmair.pdf Source: Simpack 9.10 help . Desired functionalities and their realization

Contents

• Background

• Simpack-Scripting helps achieve…

• Desired functionalities and their realization

• Challenges to work on in the next steps

Not an introduction of the research itself

but an exchange of experience with the technique

Simpack-Scripting in rail vehicle dynamics parameter-variation analysis | S. Dongfang | DSUC 2018

Page 2

Page 3: Simpack-Scripting Techniques Used in Parameter- Variation ... · UGM -2016/Euro MBS Siemens Girstmair.pdf Source: Simpack 9.10 help . Desired functionalities and their realization

Background – the research itself

• Two-axle bogies with small-diameter wheels:

• Behaviour?

• Dynamics

• Stability / critical velocity?

• Curve negotiability /

derailment risk?

• Maintainability

• Wear / tread degradation

intensity?

• Maintaining operation soundness

• Tread optimization?

• Passive steering?

• …

Methodology:

theoretic – calculation-based – simulation –

parameter variation

Simpack-Scripting in rail vehicle dynamics parameter-variation analysis | S. Dongfang | DSUC 2018

Page 3

Loadi

ng he

ight

Klingel’s equation:

𝐿↓ = 2𝜋𝑟↓𝑒

r↓ → C↓ → n|s=s*↑ → earlier fatigue

r↓ → κ↑ → contact stress concentration

Page 4: Simpack-Scripting Techniques Used in Parameter- Variation ... · UGM -2016/Euro MBS Siemens Girstmair.pdf Source: Simpack 9.10 help . Desired functionalities and their realization

Simpack-Scripting helps achieve…

• Parameter variation

• Same procedures repeated over

thousands of times with different

parameter combinations – automation

favourable

Simpack-Scripting in rail vehicle dynamics parameter-variation analysis | S. Dongfang | DSUC 2018

Page 4

Test purpose

Test track layout

Track gauge

Rail cant

Test speed

Tread profile

Radial steering

Wheel radius

Sce

na

rio p

ara

mete

rs

Desig

n p

ara

me

ters

Page 5: Simpack-Scripting Techniques Used in Parameter- Variation ... · UGM -2016/Euro MBS Siemens Girstmair.pdf Source: Simpack 9.10 help . Desired functionalities and their realization

Simpack-Scripting helps achieve…

• Parameter variation

• Same procedures repeated over

thousands of times with different

parameter combinations – automation

favourable

• Efficiency of research workflow

• Waiting time for preceding process can

be used for planning/setting up script for

succeeding process

Simpack-Scripting in rail vehicle dynamics parameter-variation analysis | S. Dongfang | DSUC 2018

Page 5

Mu

ltiple

time

inte

gra

tion

s

Model

Binary

results

Pla

nn

ing

Scrip

ting

Post-script

&

@

6

Page 6: Simpack-Scripting Techniques Used in Parameter- Variation ... · UGM -2016/Euro MBS Siemens Girstmair.pdf Source: Simpack 9.10 help . Desired functionalities and their realization

Simpack-Scripting helps achieve…

• Parameter variation

• Same procedures repeated over

thousands of times with different

parameter combinations – automation

favourable

• Efficiency of research workflow

• Waiting time for preceding process can

be used for planning/setting up script for

succeeding process

• Logging modelling processes with

scripts – small file size, model rebuild /

rollback automatic

• Independent of Simpack version

Simpack-Scripting in rail vehicle dynamics parameter-variation analysis | S. Dongfang | DSUC 2018

Page 6

Page 7: Simpack-Scripting Techniques Used in Parameter- Variation ... · UGM -2016/Euro MBS Siemens Girstmair.pdf Source: Simpack 9.10 help . Desired functionalities and their realization

Simpack-Scripting helps achieve…

• Parameter variation

• Same procedures repeated over

thousands of times with different

parameter combinations – automation

favourable

• Efficiency of research workflow

• Waiting time for preceding process can

be used for planning/setting up script for

succeeding process

• Logging modelling processes with

scripts – small file size, model rebuild /

rollback automatic

• Independent of Simpack version

• No additional licence requirements

Simpack-Scripting in rail vehicle dynamics parameter-variation analysis | S. Dongfang | DSUC 2018

Page 7

Source: Girstmair, B., Siemens AG, Euro-MBS-BGM 2016

www.3ds.com/fileadmin/EVENTS/SIMULIA-Simpack/archive-EURO-MBS-

UGM-2016/Euro-MBS-UGM-Siemens-Girstmair.pdf

Source: Simpack 9.10 help

Page 8: Simpack-Scripting Techniques Used in Parameter- Variation ... · UGM -2016/Euro MBS Siemens Girstmair.pdf Source: Simpack 9.10 help . Desired functionalities and their realization

Desired functionalities and their realization

Value assignment & model/solver setup:

Cycle through desired value combinations for

design (input) parameters of interest

Cycle through desired testing conditions

(scenarios) dictated by purpose

Simpack-Scripting in rail vehicle dynamics parameter-variation analysis | S. Dongfang | DSUC 2018

Page 8

print("\n -> Wheel radius - ");

var r_val=new Array;

for(ri=0.5;ri>=0.12;ri=ri-0.02)//m

{

r_val.push(ri.toFixed(3).toString());

print(ri+"m\t");

}

print("\n -> Track gauge - ");

var gauge_val=new Array("1.435","1.432","1.430","1.437");

for (gi=0;gi<gauge_val.length;gi++)

{

print(gauge_val[gi]+"\t");

}

...

for (var igauge=0;igauge<gauge_val.length;igauge++){

for (var ir=0;ir<r_val.length;ir++){

...

}}...

Page 9: Simpack-Scripting Techniques Used in Parameter- Variation ... · UGM -2016/Euro MBS Siemens Girstmair.pdf Source: Simpack 9.10 help . Desired functionalities and their realization

Desired functionalities and their realization

Value assignment & model/solver setup:

Cycle through desired value combinations for

design (input) parameters of interest

Cycle through desired testing conditions

(scenarios) dictated by purpose

Simpack-Scripting in rail vehicle dynamics parameter-variation analysis | S. Dongfang | DSUC 2018

Page 9

var m=Spck.openModel(mName);

m.findElement("$_Beladungszustand").str.src = load_val[iload];

m.findElement("$_DoE_r0").str.src = r_val[ir];

m.findElement("$_DoE_Gauge").str.src = gauge_val[igauge];

m.findElement("$_DoE_Tread_Profile").str.src = '"'+prw_val[iprw]+'.prw"';

...

m.track.active.src = "$Trk_Curve_"+cat_val[icat];

m.slv.active.src = "$SLV_Recommended_B_17_1_3_Curve";

Spck.Slv.vehicleVelocities(m);

m.time.src = 0;

m.findElement("$ST_Nominal").copyToModel();

Spck.Slv.preld(m);

m.save();

Spck.Slv.integ(m);

Spck.Slv.meas(m);

m.close();

Page 10: Simpack-Scripting Techniques Used in Parameter- Variation ... · UGM -2016/Euro MBS Siemens Girstmair.pdf Source: Simpack 9.10 help . Desired functionalities and their realization

Desired functionalities and their realization

• Evaluations:

• Behaviour?

• Dynamics

• Stability / critical velocity?

• Curve negotiability /

derailment risk?

• Maintainability

• Wear?

Simpack-Scripting in rail vehicle dynamics parameter-variation analysis | S. Dongfang | DSUC 2018

Page 10

Source: Polach. On non-linear methods of bogie stability assessment using computer

simulations. Proc.IMechE Vol. 220, Part F: J. Rail and Rapid Transit, 13-27

Page 11: Simpack-Scripting Techniques Used in Parameter- Variation ... · UGM -2016/Euro MBS Siemens Girstmair.pdf Source: Simpack 9.10 help . Desired functionalities and their realization

All velocities

Desired functionalities and their realization

Stability evaluations:

• Declination curve method

• Constant speed method

Simpack-Scripting in rail vehicle dynamics parameter-variation analysis | S. Dongfang | DSUC 2018

Page 11

Page 12: Simpack-Scripting Techniques Used in Parameter- Variation ... · UGM -2016/Euro MBS Siemens Girstmair.pdf Source: Simpack 9.10 help . Desired functionalities and their realization

Desired functionalities and their realization

Simpack-Scripting in rail vehicle dynamics parameter-variation analysis | S. Dongfang | DSUC 2018

Page 12

Preliminary stability judgment for current speed lim𝑡→∞

𝑦𝑊𝑆1 𝑡 = 𝐶 → 𝑦𝑊𝑆1 𝜏 − 𝐶 < 𝜀

• 1 – has simulation ran long enough (>56s)? Y-proceed, N-”INCONCLUSIVE”

• 2 – for all 55s < t < 60s, |y(t) – C| < ε? (C=0mm, ε=1mm) Y-”STABLE”, N-”UNSTABLE”

xMax

Filter 112 -

Threshold Count

Page 13: Simpack-Scripting Techniques Used in Parameter- Variation ... · UGM -2016/Euro MBS Siemens Girstmair.pdf Source: Simpack 9.10 help . Desired functionalities and their realization

All velocities

Desired functionalities and their realization

Stability evaluations:

• Declination curve method

• Constant speed method

Simpack-Scripting in rail vehicle dynamics parameter-variation analysis | S. Dongfang | DSUC 2018

Page 13

Summarize stability in simulations with all

parameters in one spreadsheet

(Create external text file and write parameters

and stability results in by line through script)

Page 14: Simpack-Scripting Techniques Used in Parameter- Variation ... · UGM -2016/Euro MBS Siemens Girstmair.pdf Source: Simpack 9.10 help . Desired functionalities and their realization

All velocities

Desired functionalities and their realization

Simpack-Scripting in rail vehicle dynamics parameter-variation analysis | S. Dongfang | DSUC 2018

Page 14

Non-linear critical velocity

(resolution 2km/h)

No

n-L

ine

ar

Cri

tic

al V

elo

cit

y

Wheel Diameter

Condition 1

Condition 2

Condition 3

(Not actual data;

results currently

unavailable)

Page 15: Simpack-Scripting Techniques Used in Parameter- Variation ... · UGM -2016/Euro MBS Siemens Girstmair.pdf Source: Simpack 9.10 help . Desired functionalities and their realization

Desired functionalities and their realization

• Evaluations:

• Behaviour?

• Dynamics

• Stability / critical velocity?

• Curve negotiability /

derailment risk?

• Maintainability

• Wear?

Simpack-Scripting in rail vehicle dynamics parameter-variation analysis | S. Dongfang | DSUC 2018

Page 15

Source: EN 14363-2016

Page 16: Simpack-Scripting Techniques Used in Parameter- Variation ... · UGM -2016/Euro MBS Siemens Girstmair.pdf Source: Simpack 9.10 help . Desired functionalities and their realization

Desired functionalities and their realization

Simpack-Scripting in rail vehicle dynamics parameter-variation analysis | S. Dongfang | DSUC 2018

Page 16

Source: EN 14363-2016

Page 17: Simpack-Scripting Techniques Used in Parameter- Variation ... · UGM -2016/Euro MBS Siemens Girstmair.pdf Source: Simpack 9.10 help . Desired functionalities and their realization

Desired functionalities and their realization

Simpack-Scripting in rail vehicle dynamics parameter-variation analysis | S. Dongfang | DSUC 2018

Page 17

Tracks with very

small (CAT4) and

large (CAT2) radii

available

On each track, test with 3 velocity-superelevation

combinations respectively representing cant

deficiency, cant excess and near-ideal curving

(“centrifugal”, “centripetal” and “uniform circular”)

Track geometry conforms to

requirements in EN 13803:2017

Page 18: Simpack-Scripting Techniques Used in Parameter- Variation ... · UGM -2016/Euro MBS Siemens Girstmair.pdf Source: Simpack 9.10 help . Desired functionalities and their realization

Desired functionalities and their realization

• Evaluations:

• Behaviour?

• Dynamics

• Stability / critical velocity?

• Curve negotiability /

derailment risk?

• Maintainability

• Wear?

Simpack-Scripting in rail vehicle dynamics parameter-variation analysis | S. Dongfang | DSUC 2018

Page 18

𝑇𝛾

𝑇𝛾𝐿

0

𝑑𝑠

Page 19: Simpack-Scripting Techniques Used in Parameter- Variation ... · UGM -2016/Euro MBS Siemens Girstmair.pdf Source: Simpack 9.10 help . Desired functionalities and their realization

Desired functionalities and their realization

Curve negotiation safety evaluations:

• Criteria with reference to EN 14363

(Y, ∑Y, Y/Q)

Without statistical analysis

Simpack-Scripting in rail vehicle dynamics parameter-variation analysis | S. Dongfang | DSUC 2018

Page 19

• With wear analysis

(Tγ wear number + accumulated wheel-

rail wear work throughout simulated run)

Plot original time histories and processed results per wheel/set • Time histories → distance domain – x-axis data source swap to displacement

• Lateral wheel/rail force – sliding mean (in distance domain)

• Wear number – integrate (over distance) → accumulated wear work

Realized with filters – configured and implemented with QSA script

Identify input parameters • From SubVars in result file

Determine evaluation outputs • Y, ∑Y, Y/Q – maximum, minimum (force

directionality; essentially maximum)

• Wear – work done over the test track

Compile input and output of each run in summary spreadsheet

I

n

d

e

x

Inputs Outputs

Veh-Trk

system

pars

Test

condition

pars

Y ∑Y Y/Q Wear work

Each

wheel |Y|max

Critical

wheel

Each

wheelset |∑Y|max

Critical

wst.

Each

wheel |Y|max

Critical

wheel

Each

wheel

∑ All

wheels

Page 20: Simpack-Scripting Techniques Used in Parameter- Variation ... · UGM -2016/Euro MBS Siemens Girstmair.pdf Source: Simpack 9.10 help . Desired functionalities and their realization

Desired functionalities and their realization (Conclusion)

Simpack-Scripting in rail vehicle dynamics parameter-variation analysis | S. Dongfang | DSUC 2018

Page 20

Set design parameter

(r0, tread, passive steering…)

Set scenario

(select track and solver settings)

(set value for gauge, cant, v, …)

Time integration +

measurements

SPCK setup

Plot outputs

SBR

Plot export

as image Result analysis

Stability

Curve negotiation

SPF

Determine stability for v

(constant-v method)

Determine max.ΣY, Y/Q

Compile

results in

summary

table

Determine

NL.Vc Iterate

Observe trend of response-

factor relationships

Page 21: Simpack-Scripting Techniques Used in Parameter- Variation ... · UGM -2016/Euro MBS Siemens Girstmair.pdf Source: Simpack 9.10 help . Desired functionalities and their realization

Challenges to work on in the next steps

• Too many runs, overall result file size too

large - threatens depleting disc space

• Automatic re-runs of simulations that failed to

run through (reached Wall Clock Time)

• Integrating scripts into tool kits with own GUIs

for future use by others …

Simpack-Scripting in rail vehicle dynamics parameter-variation analysis | S. Dongfang | DSUC 2018

Page 21

(GUI of Simpack example script “sir_reader.qs”)

Unselect unnecessary simulation

outputs (e.g. animation)

Read logfile after script execution

and extract integrator stop messages;

register indices of such failed runs

and prepare for re-run

Page 22: Simpack-Scripting Techniques Used in Parameter- Variation ... · UGM -2016/Euro MBS Siemens Girstmair.pdf Source: Simpack 9.10 help . Desired functionalities and their realization

Challenges to work on in the next steps

(… Integrating scripts into tool kits with own GUIs

for future use by others)

Potentially feasible extension:

• EN 14363:2016 allows vehicle running

characteristics acceptance through

simulations (conditional)

– possible demand for standardized

workflows in simulation tool

• Scripting – automate process:

• Model loading

• Acceptance test category selection

(§6, §7)

• Simulated acceptance test

• Result report

• Similar to “Wizard”

Simpack-Scripting in rail vehicle dynamics parameter-variation analysis | S. Dongfang | DSUC 2018

Page 22

Page 23: Simpack-Scripting Techniques Used in Parameter- Variation ... · UGM -2016/Euro MBS Siemens Girstmair.pdf Source: Simpack 9.10 help . Desired functionalities and their realization

Thank you for your attention Shiping Dongfang, M.Eng.

TU Berlin | Chair of Rail Vehicles

[email protected]

Page 24: Simpack-Scripting Techniques Used in Parameter- Variation ... · UGM -2016/Euro MBS Siemens Girstmair.pdf Source: Simpack 9.10 help . Desired functionalities and their realization

(Additional slides for Q+A)

Simpack-Scripting in rail vehicle dynamics parameter-variation analysis | S. Dongfang | DSUC 2018

Page 24

Page 25: Simpack-Scripting Techniques Used in Parameter- Variation ... · UGM -2016/Euro MBS Siemens Girstmair.pdf Source: Simpack 9.10 help . Desired functionalities and their realization

Original scripts

Simpack-Scripting in rail vehicle dynamics parameter-variation analysis | S. Dongfang | DSUC 2018

Page 25

(Converted to txt-files for quicker viewing in a normal text editor)

Exit slide show mode and double-click to open

Page 26: Simpack-Scripting Techniques Used in Parameter- Variation ... · UGM -2016/Euro MBS Siemens Girstmair.pdf Source: Simpack 9.10 help . Desired functionalities and their realization

Result summary table from curve negotiation test

postprocessing (excerpt)

Simpack-Scripting in rail vehicle dynamics parameter-variation analysis | S. Dongfang | DSUC 2018

Page 26

F:/DONGFANG_Result_bail/result_bailout_1106_multi-curve/collected, currently till 3151/PÅšEMJENILI@2018-11-22_13'0'44/2018-11-6_14'20'23_#0255_Curve_G1.435_C0_S1002_UIC60_L=-1_r0.460_CAT4_ar-_dis.sbr

F:/DONGFANG_Result_bail/result_bailout_1106_multi-curve/collected, currently till 3151/PÅšEMJENILI@2018-11-22_13'0'44/2018-11-6_14'20'23_#0256_Curve_G1.435_C0_S1002_UIC60_L=-1_r0.460_CAT2_ar0_dis.sbr

F:/DONGFANG_Result_bail/result_bailout_1106_multi-curve/collected, currently till 3151/PÅšEMJENILI@2018-11-22_13'0'44/2018-11-6_14'20'23_#0257_Curve_G1.435_C0_S1002_UIC60_L=-1_r0.460_CAT2_ar+_dis.sbr

F:/DONGFANG_Result_bail/result_bailout_1106_multi-curve/collected, currently till 3151/PÅšEMJENILI@2018-11-22_13'0'44/2018-11-6_14'20'23_#0258_Curve_G1.435_C0_S1002_UIC60_L=-1_r0.460_CAT2_ar-_dis.sbr

F:/DONGFANG_Result_bail/result_bailout_1106_multi-curve/collected, currently till 3151/PÅšEMJENILI@2018-11-22_13'0'44/2018-11-6_14'20'23_#0259_Curve_G1.435_C0_S1002_70pct_UIC60_L=-1_r0.460_CAT4_ar0_dis.sbr

F:/DONGFANG_Result_bail/result_bailout_1106_multi-curve/collected, currently till 3151/PÅšEMJENILI@2018-11-22_13'0'44/2018-11-6_14'20'23_#0260_Curve_G1.435_C0_S1002_70pct_UIC60_L=-1_r0.460_CAT4_ar+_dis.sbr

F:/DONGFANG_Result_bail/result_bailout_1106_multi-curve/collected, currently till 3151/PÅšEMJENILI@2018-11-22_13'0'44/2018-11-6_14'20'23_#0261_Curve_G1.435_C0_S1002_70pct_UIC60_L=-1_r0.460_CAT4_ar-_dis.sbr

F:/DONGFANG_Result_bail/result_bailout_1106_multi-curve/collected, currently till 3151/PÅšEMJENILI@2018-11-22_13'0'44/2018-11-6_17'59'10_#2001_Curve_G1.435_C40_S1002_70pct_UIC60_L=1_r0.220_CAT4_ar-_dis.sbr

F:/DONGFANG_Result_bail/result_bailout_1106_multi-curve/collected, currently till 3151/PÅšEMJENILI@2018-11-22_13'0'44/2018-11-6_17'59'10_#2002_Curve_G1.435_C40_S1002_70pct_UIC60_L=1_r0.220_CAT2_ar0_dis.sbr

F:/DONGFANG_Result_bail/result_bailout_1106_multi-curve/collected, currently till 3151/PÅšEMJENILI@2018-11-22_13'0'44/2018-11-6_17'59'10_#2003_Curve_G1.435_C40_S1002_70pct_UIC60_L=1_r0.220_CAT2_ar+_dis.sbr

F:/DONGFANG_Result_bail/result_bailout_1106_multi-curve/collected, currently till 3151/PÅšEMJENILI@2018-11-22_13'0'44/2018-11-6_17'59'10_#2004_Curve_G1.435_C40_S1002_70pct_UIC60_L=1_r0.220_CAT2_ar-_dis.sbr

F:/DONGFANG_Result_bail/result_bailout_1106_multi-curve/collected, currently till 3151/PÅšEMJENILI@2018-11-22_13'0'44/2018-11-6_17'59'10_#2005_Curve_G1.435_C40_S1002_UIC60_L=1_r0.200_CAT4_ar0_dis.sbr

F:/DONGFANG_Result_bail/result_bailout_1106_multi-curve/collected, currently till 3151/PÅšEMJENILI@2018-11-22_13'0'44/2018-11-6_17'59'10_#2006_Curve_G1.435_C40_S1002_UIC60_L=1_r0.200_CAT4_ar+_dis.sbr

F:/DONGFANG_Result_bail/result_bailout_1106_multi-curve/collected, currently till 3151/PÅšEMJENILI@2018-11-22_13'0'44/2018-11-6_17'59'10_#2007_Curve_G1.435_C40_S1002_UIC60_L=1_r0.200_CAT4_ar-_dis.sbr

F:/DONGFANG_Result_bail/result_bailout_1106_multi-curve/collected, currently till 3151/PÅšEMJENILI@2018-11-22_13'0'44/2018-11-6_17'59'10_#2008_Curve_G1.435_C40_S1002_UIC60_L=1_r0.200_CAT2_ar0_dis.sbr

F:/DONGFANG_Result_bail/result_bailout_1106_multi-curve/collected, currently till 3151/PÅšEMJENILI@2018-11-22_13'0'44/2018-11-6_17'59'10_#2009_Curve_G1.435_C40_S1002_UIC60_L=1_r0.200_CAT2_ar+_dis.sbr

F:/DONGFANG_Result_bail/result_bailout_1106_multi-curve/collected, currently till 3151/PÅšEMJENILI@2018-11-22_13'0'44/2018-11-6_17'59'10_#2010_Curve_G1.435_C40_S1002_UIC60_L=1_r0.200_CAT2_ar-_dis.sbr

F:/DONGFANG_Result_bail/result_bailout_1106_multi-curve/collected, currently till 3151/PÅšEMJENILI@2018-11-22_13'0'44/2018-11-6_17'59'10_#2011_Curve_G1.435_C40_S1002_70pct_UIC60_L=1_r0.200_CAT4_ar0_dis.sbr

F:/DONGFANG_Result_bail/result_bailout_1106_multi-curve/collected, currently till 3151/PÅšEMJENILI@2018-11-22_13'0'44/2018-11-6_17'59'10_#2012_Curve_G1.435_C40_S1002_70pct_UIC60_L=1_r0.200_CAT4_ar+_dis.sbr

F:/DONGFANG_Result_bail/result_bailout_1106_multi-curve/collected, currently till 3151/PÅšEMJENILI@2018-11-22_13'0'44/2018-11-6_14'20'23_#0262_Curve_G1.435_C0_S1002_70pct_UIC60_L=-1_r0.460_CAT2_ar0_dis.sbr

F:/DONGFANG_Result_bail/result_bailout_1106_multi-curve/collected, currently till 3151/PÅšEMJENILI@2018-11-22_13'0'44/2018-11-6_14'20'23_#0263_Curve_G1.435_C0_S1002_70pct_UIC60_L=-1_r0.460_CAT2_ar+_dis.sbr

(May require exiting slide show mode to view)

Page 27: Simpack-Scripting Techniques Used in Parameter- Variation ... · UGM -2016/Euro MBS Siemens Girstmair.pdf Source: Simpack 9.10 help . Desired functionalities and their realization

Höpf Bifurcation and initial excitation choice

Simpack-Scripting in rail vehicle dynamics parameter-variation analysis | S. Dongfang | DSUC 2018

Page 27

Source: Polach. On non-linear methods of bogie stability assessment using computer

simulations. Proc.IMechE Vol. 220, Part F: J. Rail and Rapid Transit, 13-27