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    FunctionSim, LLC 2008

    | Karl Bangert | Jim Wenson | Taero Cha| FunctionSim LLC | 15Oct08 |

    Simulation-Based FatigueAnalysis using RecurDyn

    And FEMFAT

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    FunctionBay GmbH 2007

    FunctionSIM LLC 2008

    The RecurDyn Advantage

    MAGNA RecurDyn Collaboration

    Generating Virtual Powertrain Loads

    Single Cylinder Engine Case Study

    Summary / Action Items

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    FunctionBay GmbH 2007

    FunctionSIM LLC 2008

    Teams have been challenged to improve their

    design processes

    Simulation & Analysis are established methods

    of troubleshooting design problems

    Moving Simulation to the design phase can:Reduce Design &

    Testing Time & Costs

    Bring it all Together!

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    Established Customer Base

    Worldwide Growth & Support

    Fast, Robust Simulation Solutions

    Cutting-Edge Multi-Physics Technology

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    FunctionSim LLC

    Full Service RecurDyn Distributor

    Software Sales and Technical Support

    Engineering Services

    US Owned and Operated

    Close ties to FunctionBay GmbH and FunctionBay Korea

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    Media Transport

    Worldwide >250 Commercial Customers > 2000 Engineering Seats

    75% belong to Fortune Top 500 Companies

    Motorsports

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    Cub Cadet i1000 - Zero Turn Radius MowerZero Turn Radius Mower

    MTD ProductsAdvanced Kinematics

    Simulation for Design

    Featured in Popular Science

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    Joe Gibbs Racing Engine Dynamics Test & CAE

    Looking to Maintain Competetive Edge

    Simulating Car of Tomorrow

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    Solid Elements

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    The RecurDyn Advantage

    MAGNA RecurDyn Collaboration

    Generating Virtual Powertrain Loads

    Single Cylinder Engine Case Study

    Summary / Action Items

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    FunctionBay GmbH 2007 FunctionSIM LLC 2008

    Enhanced Dynamic Simulation by

    Combining FEA and MBS

    Finite

    Element

    Analysis FEA)

    Linear, elastic

    structures many DOF)

    Simulations with

    nonlinearities like

    bushings or large

    movements are not

    efficient.

    Multi Body

    Simulation

    MBS)

    To rigid bodies

    few DOF) limited

    Efficient simulations

    with nonlinearities like

    bushings or large

    movements.

    Combined

    FEA and

    MBS

    Models with included

    large, linear FE

    structures

    Efficient simulations

    with nonlinearities like

    bushings or large

    movements.

    Dynamic Simulation by

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    FunctionBay GmbH 2007 FunctionSIM LLC 2008

    Dynamic Simulation by

    FEA MBS FEMFAT

    Build FE model of flexible body

    define interface points

    Build FE model of flexible body

    define interface points

    FE modal analysis component modes, component mode stressesFE modal analysis component modes, component mode stresses

    Import FE - structure into MBS

    connect flexible body to rigid bodies

    Import FE - structure into MBS

    connect flexible body to rigid bodies

    Solve hybrid FE-MBS-EHD system

    output time series of modal response

    Solve hybrid FE-MBS-EHD system

    output time series of modal response

    N

    R

    N

    AB

    Q

    A

    D

    M

    S

    R

    C

    N

    Import modal loads into FEMFAT

    modal stresses, time series modal responseImport modal loads into FEMFAT modal stresses, time series modal response

    Multiaxial Fatigue Analysis in FEMFAT

    includes contribution of static and vibration loads

    Multiaxial Fatigue Analysis in FEMFAT

    includes contribution of static and vibration loadsF

    M

    FA

    1

    2

    3

    4

    5

    6

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    FunctionBay GmbH 2007 FunctionSIM LLC 2008

    Oil Film Model (EHD)

    Reynolds differential equation:

    +=

    +

    tH2H

    6ZpH

    ZBDpH B2

    3

    2

    3

    partial elliptic diff. equation

    numerically solved (highly optimized)

    Navier Stokes Equation

    D d

    Oil film

    yx

    H

    Squeezing and expulsion of oil film

    and dyn. deformations of bearing shell

    and pin due to local pressure inside

    bearing

    H(,z) .... lubrication gap

    dy

    dx

    dz

    differential fluid element

    inclined position of pin

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    FunctionBay GmbH 2007 FunctionSIM LLC 2008

    Integration of EHD in MBS

    Co-Simulation process:

    positions & velocities:

    force & torqueBearing settings

    Diameter

    Width

    Clearance

    Oil viscosity

    (Lubricating grooves)

    (Oil in-/outlets)

    Optional outputs

    Journal position and velocity (dislocation orbits)

    Pressure distributions at definable intervals

    Bearing forces und torques

    MBS

    EHD

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    FunctionBay GmbH 2007 FunctionSIM LLC 2008

    Modelling Principle

    linearized stiffness of

    bearing housing

    Crankshaft flex. body)

    Oil film model:

    Connecting

    bearing shell and

    crankshaftser written

    subroutine

    Output: force and

    torque acting

    between bearing

    shell and crank

    Rigid bearing shell

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    FunctionBay GmbH 2007 FunctionSIM LLC 2008

    Fatigue - based on modal stresses

    t)

    t

    )

    ... Total deformation of flexible body at time t

    i

    1

    2

    ... Mode shape FEA result, time invariant) -

    Component Modes

    q

    1 t)

    q

    2 t)

    q

    i t)

    ... Contribution of each mode to the total

    deformation at time t. MBS result, skalar

    for each mode, time dependent)

    t

    )

    E Tensor

    t)

    ... Total stress state of flexible body at time t

    q

    1 t)

    q

    2 t)

    i

    1

    2

    ... Stress distribution of single mode shape FEA

    result time invariant

    E Tensor E Tensor

    Fatigue Analysis based on

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    FunctionBay GmbH 2007 FunctionSIM LLC 2008

    Fatigue Analysis based on

    Modal Stresses

    FEA

    Modal Stresses

    1

    2

    n

    Component Modes

    1

    2

    n

    MBS

    and

    E)HD

    Co - Simulation)

    Fatigue

    n t)

    q

    2 t)

    q

    1 t)

    Modal

    Coordinates

    ADAMS Spreadsheet

    DAMS Spreadsheet

    or Userr UserSubroutineubroutine

    Channel 1

    Channel 2

    FEMFAT

    1

    q

    1 t)

    2

    2 t)

    q

    n t)

    n

    Channel n

    Additional

    Load Cases

    Screwing,...)

    e.g.: NASTRAN OP2

    .g.: NASTRAN OP2

    file

    ile

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    FunctionBay GmbH 2007 FunctionSIM LLC 2008

    The RecurDyn Advantage

    MAGNA RecurDyn Collaboration

    Generating Virtual Powertrain Loads

    Single Cylinder Engine Case Study

    Summary / Action Items

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    FunctionBay GmbH 2007 FunctionSIM LLC 2008

    MFBD Driveline Model

    Large Displacements

    Local Deformations & Stresses

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    FunctionBay GmbH 2007 FunctionSIM LLC 2008

    Input Drivers

    System Outputs

    + Responses

    Rigid Driveline Modelat 6degree Inclination

    Flexible NASTRAN

    model of transmission

    Housing (74000 DOF) Torque Input to

    Driveshaft

    2hrs CPU for 0.6 sec

    transient simulation

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    FunctionBay GmbH 2007 FunctionSIM LLC 2008

    Conclusion & Discussion

    Dynamic fatigue analysis can be performed in reasonable simulation time

    Dynamic fatigue analysis of a

    crank shaft is necessary due to

    occuring system resonances

    Engine run-up to detect all

    system resonances within the

    engine rpm range;

    Damping dominates system

    response in a resonance state:

    detailed information needed

    e.g. damper, flywheel, clutch

    ....)

    Fatigue results within the

    whole engine rpm range

    Detailed analysis of crank train dynamics / resonances to improve the design

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    FunctionBay GmbH 2007 FunctionSIM LLC 2008

    The RecurDyn Advantage

    MAGNA RecurDyn Collaboration

    Generating Virtual Powertrain Loads

    Single Cylinder Engine Case Study

    Summary / Action Items

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    FunctionBay GmbH 2007 FunctionSIM LLC 2008

    Engine Performance

    Torsional Vibrations and Bearing Loads

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    FunctionBay GmbH 2007 FunctionSIM LLC 2008

    Engine Performance

    Bearing Loads versus Time

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    FunctionBay GmbH 2007 FunctionSIM LLC 2008

    Engine Performance

    Crankshaft Velocity versus Time

    Ch l D fi iti

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    FunctionBay GmbH 2007 FunctionSIM LLC 2008

    Channel Definition

    Visualization Channel History

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    FunctionBay GmbH 2007 FunctionSIM LLC 2008

    Visualization Channel History

    Visualization S N Curves

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    FunctionBay GmbH 2007 FunctionSIM LLC 2008

    Visualization S-N-Curves

    Visualization Haigh Diagramm

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    Visualization Haigh-Diagramm

    Visualization Equivalent Stress History

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    FunctionBay GmbH 2007 FunctionSIM LLC 2008

    Visualization Equivalent Stress History

    Visualization Results

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    FunctionBay GmbH 2007 FunctionSIM LLC 2008

    Visualization Results

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    FunctionBay GmbH 2007 FunctionSIM LLC 2008

    .

    Cranktrain Modeling

    Global Layout:

    Inline, V-eng, boxer, N-cylinderComponent Wizards:

    Pistons, Cylinders, Rods, Block

    Crankshaft (rigid, torsional, beam)Contact Modeling:

    Piston/Cylinder Bore Input

    Auxiliary Components:Flywheel, Balancer Shafts,

    Equivalent Drive Train,

    Torsional Damper

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    FunctionBay GmbH 2007 FunctionSIM LLC 2008

    .

    Crank Train Simulation Torsional Vibrations

    Bearing Loads

    Coupling to Timing Chains

    and ValvetrainsFlexible Layouts

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    FunctionBay GmbH 2007 FunctionSIM LLC 2008

    Summary and Discussion