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ISEA Summer School – Prato 3 rd June 2005 1 Marco Pierini Marco Pierini – Università di Firenze – Italy [email protected] FEM and Multibody Modelling of Luge Sled

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Page 1: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 1

Marco Pierini Marco Pierini – Università di Firenze – Italy

[email protected]

FEM and Multibody Modelling of Luge Sled

Page 2: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 2

Cooperation UNIFI – FISI (Italian Federation for Cooperation UNIFI – FISI (Italian Federation for Winter Sports)Winter Sports)

• Started in 2000Started in 2000

• Aim: Make the Sled easier to driveAim: Make the Sled easier to drive

FASTERFASTER

Page 3: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 3

ObjectiveObjective

• Short period (Salt Lake City Olimpic games: 2002)Short period (Salt Lake City Olimpic games: 2002)

Small improvementSmall improvementSmall improvementSmall improvement

• Longer period (Torino Olimpic Games: 2006)Longer period (Torino Olimpic Games: 2006)

FEM and MB ModellingFEM and MB ModellingFEM and MB ModellingFEM and MB Modelling

Page 4: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 4

Open problemsOpen problems

•Very small know-how•Very small know-how

No publications on previous workNo publications on previous work

No previous experience in ItalyNo previous experience in Italy

•Translate in “engineering sense” the athlete sensation/feeling •Translate in “engineering sense” the athlete sensation/feeling

It has no sense to build a sled that the athlete dos not like!!!!It has no sense to build a sled that the athlete dos not like!!!!

Page 5: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 5

International Luge FederationInternational Luge Federation

natural tracknatural track artificial track artificial track

Page 6: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 6

DescentDescent

Page 7: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 7

Some rulesSome rules

• 21-25 kg for a single sled21-25 kg for a single sled

• ControlsControls–   Temperature of the blades Temperature of the blades –   Weight of the sled Weight of the sled –   Overall weight of the athlete Overall weight of the athlete

• TrackTrack– Minimum length 1000 mMinimum length 1000 m– Maximum length 1300 mMaximum length 1300 m

Page 8: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 8

More Interesting FactsMore Interesting Facts

•   Competitions may be held in extreme weather conditions Competitions may be held in extreme weather conditions with a temperature as low as – 25°Cwith a temperature as low as – 25°C

•   If an athlete loses any item during a run he/she will be If an athlete loses any item during a run he/she will be disqualified disqualified

•   The time is measured with an accuracy of 1000th of a The time is measured with an accuracy of 1000th of a second second

•   In case of snowfall the track is swept after a certain number In case of snowfall the track is swept after a certain number of athletes of athletes

•   The athlete has to pass the finish line in contact with The athlete has to pass the finish line in contact with his/her sled his/her sled

•   In order to participate in a competition the athletes require In order to participate in a competition the athletes require a valid license (medical check-up, valid insurance) a valid license (medical check-up, valid insurance)

•   The athlete must wear the FIL safety helmet The athlete must wear the FIL safety helmet

Page 9: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 9

The SledThe Sled

RuunersRuuners

SeatSeat

BridgesBridges

BladesBlades

Page 10: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 10

Seat (also called Pod Seat)Seat (also called Pod Seat)

Page 11: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 11

Front bridgeFront bridge

Page 12: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 12

M8M8

Ruuners and BladesRuuners and Blades

Page 13: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 13

Driving techniqueDriving technique

Page 14: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 14

Max Acceleration 6gMax Acceleration 6g

Driving techniqueDriving technique

Max Speed 140 km/hMax Speed 140 km/h

Page 15: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 15

Vertical & Transversal StiffnessVertical & Transversal Stiffness

Front ViewFront View

Vertical StiffnessVertical Stiffness

Rear ViewRear View

Transversal StiffnessTransversal Stiffness

Page 16: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 16

Short period improvementShort period improvement

• Possible variation Possible variation

in the sledin the sled

Keeping in mind the rules!!!!Keeping in mind the rules!!!!

Modify the stiffness to fulfill the requirement of different tracks

Modify the stiffness to fulfill the requirement of different tracks

• Screw torqueScrew torque• Silent-BlockSilent-Block

• Steel pullSteel pull

Reduction of vibration transmitted to the athlete

Reduction of vibration transmitted to the athlete

Increase transversal stiffnessIncrease transversal stiffness

Page 17: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 17

Position of the BridgesPosition of the Bridges

Different tickness of the bridgesDifferent tickness of the bridges

AimAim Change of the stiffness due to:Change of the stiffness due to:

Different Sled configuration (FEM)Different Sled configuration (FEM)

ForceForceWeightWeight

Page 18: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 18

Different Sled configuration (results)Different Sled configuration (results)

Page 19: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 19

Force Weigth

Original 9 405 11,1 0 0,60 0

Optimal 10 305 11,7 -5% 0,30 +52%

Modified 1 9 305

Distance between bridges [mm]

Bridges Tickness

0,63 +5%

UXmax

14,4 -30%

UY

Different Sled configuration (results)Different Sled configuration (results)

Page 20: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 20

Steel PullSteel Pull

AimAim Increase transversal StiffnessIncrease transversal Stiffness

Page 21: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 21

Traction testTraction test

Ultimate force 8000 N

Calculate (FEM) max Force 800 N

Page 22: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 22

Force Weigth

UY UXmax

Original 9 40511,1

00,600

0

With pull 9 4059.13

+18%0,114

+420%

Bridges Tickness

Distance between Bridges

[mm] [mm]

MOD3FILO1 7 40514,8 -33%

0,130 +360%

DIST305f 9 30512,4 -12%

0,131 +360%

Steel pullSteel pull

Page 23: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 23

Control of the torqueControl of the torque

M1=14 NmM1=14 Nm

M2=19 NmM2=19 Nm

M3=24 NmM3=24 Nm

Page 24: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 24

Control of the torque (results)Control of the torque (results)

Torque M2

Torque M1

Page 25: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 25

Silent-blockSilent-block

Page 26: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 26

Silent-blockSilent-block

Page 27: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 27

Silent-blockSilent-block

MassMass

Max AccelerationMax Acceleration

FEMFEM

Force acting on the Silent-blockForce acting on the Silent-block

N1470

4smg6kg100

F2

Page 28: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 28

Silent-block (results)Silent-block (results)

Configurationdeformation

[mm]difference

%Original 0,230 0

Buttonhole 0,357 55

5 holes 0,337 47

Page 29: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 29

Short period improvement Short period improvement

• Reverse engineering of the SledReverse engineering of the Sled

• Development of the MB-FEMDevelopment of the MB-FEM

Aim: development of MB-FEM model able to simulate the descentAim: development of MB-FEM model able to simulate the descent

StepsSteps

Page 30: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 30

CAD ModelCAD

Model

Reverse EngineeringReverse Engineering

Phisical Model

Phisical Model

Page 31: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 31

Reverse EngineeringReverse Engineering

InstrumentsInstruments

“FARO Arm”“FARO Arm”

CADCAD

Software “Anthrocam”Software “Anthrocam”

Page 32: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 32

Reverse EngineeringReverse Engineering

Very important to use the same reference systemVery important to use the same reference system

Page 33: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 33

• Scanning ModeScanning Mode

Reverse EngineeringReverse Engineering

• Point ModePoint Mode

Acquisition TechniquesAcquisition Techniques

CAD ModelCAD Model

Page 34: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 34

MB-FE ModelingMB-FE Modeling

• MSC Adams MSC Adams

Simplied modelSimplied model

Accurate modelAccurate model

Page 35: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 35

MB-FE ModelingMB-FE Modeling

Simplied modelSimplied model

Made with rigid body elementMade with rigid body element

Ruuner + BladeRuuner + Blade

BridgesBridges

Center of gravity of athlete

Center of gravity of athlete

Page 36: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 36

MB-FE ModelingMB-FE Modeling

Interaction between solidInteraction between solid

Function “Contact”Function “Contact”

Simplied modelSimplied model

Simulation of contact and frictionSimulation of contact and friction

Page 37: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 37

MB-FE ModelingMB-FE Modeling

Simplied modelSimplied model

Use of spheres for the contactUse of spheres for the contact

Page 38: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 38

MB-FE ModelingMB-FE Modeling

Simplied modelSimplied model

FF

Seconda configurationSeconda configuration - No DOF

- No Friction

- Lateral Forces

- No DOF

- No Friction

- Lateral Forces

First configurationFirst configuration - 1 DOF

- Friction

- 1 DOF

- Friction

Page 39: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 39

MB-FE ModelingMB-FE Modeling

Simplied modelSimplied model

)Fv1(LogkF CL

General Force: (Lateral Force)General Force: (Lateral Force)

Page 40: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 40

No lateral forcesNo lateral forces

MB-FE ModelingMB-FE Modeling

Simplied modelSimplied model

Page 41: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 41

MB-FE ModelingMB-FE Modeling

Simplied modelSimplied modelWith lateral ForcesWith lateral Forces

Page 42: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 42

MB-FE ModelingMB-FE Modeling

Accurate modelAccurate model

Common characteristicsCommon characteristics

Inertial propertiesInertial properties

Silent-block are also modeledSilent-block are also modeled

All parts are geometrically correct and flexibleAll parts are geometrically correct and flexible

Spheres to simulate the contactSpheres to simulate the contact

Main differerencesMain differerences

Lateral ForcesLateral Forces

Page 43: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 43

MB-FE ModelingMB-FE Modeling

Accurate modelAccurate model

CAD ModelCAD Model

ParasolidParasolid

FEM modelFEM model

Flexible partsFlexible parts

Page 44: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 44

MB-FE ModelingMB-FE Modeling

Accurate modelAccurate model

Adams modelAdams model

Page 45: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 45

MB-FE ModelingMB-FE Modeling

Accurate modelAccurate modelFirst SimulationFirst Simulation

Entrance in the labyrinthEntrance in the labyrinth

Page 46: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 46

Second SimulationSecond Simulation

MB-FE ModelingMB-FE Modeling

Accurate modelAccurate model

Turn constant radiusTurn constant radius

Page 47: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 47

Salt Lake City Olympic Games 2002Salt Lake City Olympic Games 2002 Armin Zoeggeler. IV Run Armin Zoeggeler. IV Run

Page 48: ISEA Summer School – Prato 3 rd June 2005 # Marco Pierini Marco Pierini – Università di Firenze – Italy marco.pierini@unifi.it FEM and Multibody Modelling

ISEA Summer School – Prato 3rd June 2005 48

Armin Zoeggeler

Gold Medal

Salt Lake City Olympic Games 2002

Armin Zoeggeler

Gold Medal

Salt Lake City Olympic Games 2002