Structure Borne NVH Basics - Automotive Analytics...NVH Conference Proceedings, May 1999. 4. S. D....

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NVH Workshop © www.AutoAnalytics.com, 2003 Structure Borne NVH Basics SAE 2003 NVH Conference; Traverse City, Michigan Wednesday Evening, May 7, 2003 Presenters: A. E. Duncan Automotive Analytics, Inc. G. Goetchius Material Sciences Corp. S. Gogate Altair Engineering, Inc. Sponsored By: Material Sciences Corporation

Transcript of Structure Borne NVH Basics - Automotive Analytics...NVH Conference Proceedings, May 1999. 4. S. D....

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Structure Borne NVH BasicsSAE 2003 NVH Conference; Traverse City, Michigan

    Wednesday Evening, May 7, 2003

    Presenters:

    A. E. Duncan Automotive Analytics, Inc.

    G. Goetchius Material Sciences Corp.

    S. Gogate Altair Engineering, Inc.

    Sponsored By:Material Sciences Corporation

  • NVH Workshop© www.AutoAnalytics.com, 2003

    NVH Workshop Topic Outline• Introduction• Ride Balance in the Ride Range• NVH Load Conditions• Low Frequency Basics• Live Noise Attenuation Demo• Mid Frequency Basics• Utilization of Simulation Models• Closing Remarks

  • NVH Workshop© www.AutoAnalytics.com, 2003

    The Fundamental Secret ofStructure Borne

    NVH Performance

    The Fundamental Secret ofStructure Borne

    NVH Performance

    Revealed here tonight !

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Primary References (Workshop Basis: 4 Papers)

    1. A. E. Duncan, et. al., “Understanding NVH Basics”, IBEC, 1996

    2. A. E. Duncan, et. al., “MSC/NVH_Manager Helps Chrysler Make Quieter Vibration-free Vehicles”, Chrysler PR Article, March 1998.

    3. B. Dong, et. al., “Process to Achieve NVH Goals: Subsystem Targets via ‘Digital Prototype’ Simulations”, SAE 1999-01-1692, NVH Conference Proceedings, May 1999.

    4. S. D. Gogate, et. al., “’Digital Prototype’ Simulations to Achieve Vehicle Level NVH Targets in the Presence of Uncertainties’”,

    SAE 2001-01-1529, NVH Conference Proceedings, May 2001

    Structure Borne NVH Basics References

    Available online at www.AutoAnalytics.com

    Structure Borne NVH Workshop - on Internet

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Supplemental References5. T.D. Gillespie, Fundamentals of Vehicle Dynamics, SAE 1992

    (Also see SAE Video Lectures Series, same topic and author)6. D. E. Cole, Elementary Vehicle Dynamics, Dept. of Mechanical

    Engineering, University of Michigan, Ann Arbor, Michigan, Sept. 1972

    7. J. Y. Wong, Theory of Ground Vehicles, John Wiley & Sons, New York, 1978

    8. Kompella, M. S., and Bernhard, J., “Measurement of the Statistical Variation of Structural-Acoustic Characteristics of Automotive Vehicles”, SAE No. 931272, 1993

    9. Freymann, R., and Stryczek, R., “A New Optimization Approach in the Field of Structural-Acoustics”, SAE No. 2000-01-0729, 2000

    Structure Borne NVH Basics References

  • NVH Workshop© www.AutoAnalytics.com, 2003

    NVH Workshop Topic Outline• Introduction

    • Ride Balance in the Ride Range

    • NVH Load Conditions

    • Low Frequency Basics

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Rideand

    Handling

    NVH Durability

    ImpactCrashWorthiness

    Competing Vehicle Design Disciplines

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    Structure Borne NoiseAirborne Noise

    Res

    pons

    e

    Log Frequency

    “Low”Global Stiffness

    “Mid”

    Local Stiffness+

    Damping

    “High”

    Absorption+

    Mass+

    Sealing

    ~ 150 Hz ~ 1000 Hz ~ 10,000 Hz

    Automotive NVH Frequency Range

  • NVH Workshop© www.AutoAnalytics.com, 2003

    NVH Workshop Topic Outline• Introduction

    • Ride Balance in the Ride Range

    • NVH Load Conditions

    • Low Frequency Basics

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Study of Ride Balance

    • Demonstrate the First Order Vehicle Modes

    • Demonstrate Transient Response in Time Domain

    • Derive Transition into the Frequency Domain

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Ride Balance StudyVehicle Traversing a Bump

    Impact at Front Suspension Followed by Impact at Rear Suspension

    Response at Rear

    Rear Suspension is in-phase with FrontAfter one cycle of ride motion, thusminimizing pitch motion.

    Response at Front

    See Ref. 5, Gillespie

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    Total 2178.2 Kg (4800LBS)Mass Sprung 1996.7 Kg

    Unsprung 181.5 Kg (8.33% of Total)Powertrain 181.5 Kg

    Tires 350.3 N/mmKF 43.8 N/mmKR 63.1 N /mmBeam mass lumped on grids like a beam M2,3,4 =2 * M1,5

    31

    8

    2

    6

    4

    7

    5

    NVH Model of Unibody Passenger CarSymbolic Outline

    From Reference 6

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    Excitation Bump Profile

    0.0

    5.0

    10.0

    15.0

    20.0

    0 100 200 300 400 500

    Distance (mm)

    Pro

    file

    Hei

    ght

    (mm

    ) Profile

    On to 100,380

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    Pitch at Mid-Car DOF3

    -1.0E-04

    -8.0E-05

    -6.0E-05

    -4.0E-05

    -2.0E-05

    0.0E+00

    2.0E-05

    4.0E-05

    6.0E-05

    8.0E-05

    1.0E-04

    0 1 2 3Time (sec.)

    Ro

    tati

    on

    - R

    adia

    ns Base Model

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    Pitch Response - Baseline Model

    1.E-08

    1.E-07

    1.E-06

    1.E-05

    1.E-04

    0.0 5.0 10.0 15.0 20.0Frequency Hz

    Ro

    tati

    on

    Rad

    ian

    s

    Base Model

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    X ( f ) = Fourier Transform of X ( t ){X ( f ) } = [ H ( f ) ] ∗∗∗∗ { F ( f ) }{

    Fourier transformof the input forces,vector of all inputpossibilities

    Fourier transformof the outputfor unit input forcessystem OUT / IN FRF(Known Load = Unity)

    Spring Analogy ( C = 1 / K ) X = C * F

    {

    CaveatCaveat X ( t ) must be PeriodicLinear System

    5 sec

    F(t) is Periodic

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    FFT of the Input Bump

    1.E-06

    1.E-05

    1.E-04

    1.E-03

    1.E-02

    1.E-01

    0.E+00 4.E-03 8.E-03 1.E-02 2.E-02 2.E-02

    Cycles / mm

    Ampl

    itude

    mm

    Bump FFT

    Transform Input Force to F(f)

    20 Hz @ 45 MPH

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    FFT of the Input Bump

    1.E-06

    1.E-05

    1.E-04

    1.E-03

    1.E-02

    1.E-01

    0.E+00 4.E-03 8.E-03 1.E-02 2.E-02 2.E-02

    Cycles / mm

    Ampl

    itude

    mm

    Bump FFT

    Transform Input Force to F(f)

    20 Hz @ 45 MPH

    0.0 20.0 Hz

    Amplitude is Approximately Constant over the Frequency Range

    Constant Displacement

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    Pitch at M id -C ar D O F 3

    1 .0 E-0 8

    1 .0 E-0 7

    1 .0 E-0 6

    1 .0 E-0 5

    1 .0 E-0 4

    0 5 1 0 1 5 2 0F req u en cy H z

    Ro

    tati

    on

    Rad

    ian

    s Tim e Dom ain FF TF F T of Input

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    Ride Balance Study Summary

    • Demonstrated the Fundamental Bounce and Pitch Modes in the Ride Range

    • Demonstrated Transient Response in Time Domain then Obtained the FRF

    • Derived Direct Computation of FRF in the Frequency Domain

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    NVH Workshop Topic Outline• Introduction

    • Ride Balance in the Ride Range

    • NVH Load Conditions

    • Low Frequency Basics

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Two Main Sources

    Noise and Vibration Sources

    Suspension Powertrain

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Typical NVH Pathways to the Passenger

    PATHS FOR

    STRUCTURE BORNE

    NVH

  • NVH Workshop© www.AutoAnalytics.com, 2003

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Suspension Excitation Load Conditions

    WheelUnbalance

    RoadRoughness

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Medium Rough Road Spectrums from Wong, Ref. 7

    1.0E+01

    1.0E+02

    1.0E+03

    1.0E+04

    1.0E+05

    1.0E+06

    0 20 40 60 80 100

    Displacement*

    Acceleration*Velocity

    Constant Velocity

    Road Spectrum at Constant Speed of 45 MPH

    Frequency Hz

    Velo

    city

    mm

    2 /sec

    2 /hz

    P ow

    er S

    p ect

    ral D

    e ns i

    ty (P

    SD)

    *Spectrums were scaled to plot with Velocity

    CONCLUSION: With respect to the Ride Balance example at constant disp.,a typical road spectrum disp. decreases and thus exhibits even more response attenuation beyond the ride modes.

  • NVH Workshop© www.AutoAnalytics.com, 2003

    NVH Workshop Topic Outline• Introduction

    • Ride Balance in the Ride Range

    • NVH Load Conditions

    • Low Frequency Basics

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Low Frequency NVH Basics

    • Subjective to Objective Relationships

    • Single Degree of Freedom Vibration

    • Vibration and Noise Attenuation Strategies

  • NVH Workshop© www.AutoAnalytics.com, 2003

    RECEIVER

    PATH

    SOURCE

    Low Frequency NVH Fundamentals

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Subjective to Objective Conversions

    Subjective NVH Ratings are typically based on a 10 Point Scale resulting from Ride Testing

    A 2 ≈≈≈≈ 1/2 A 1Represents 1.0 Rating Change

    TACTILE: 50% reduction in motion

    SOUND : 6.dB reduction in sound pressure level ( long standing rule of thumb )

    Receiver Sensitivity is a Key Consideration

  • NVH Workshop© www.AutoAnalytics.com, 2003

    m

    APPLIED FORCE

    F = FO sin 2 π f t

    k c FT

    TR = FT / F

    TransmittedForce

    Single Degree of Freedom Vibration

    =√ f 2fn 2 ) 2ffn

    ( 2 d ) 21 +1 + ffn( 2 d ) 21 +

    ( 1- ffn( 2 d ) 2+

    d = fraction of critical dampingfn = natural frequency √(k/m)f = operating frequency

  • NVH Workshop© www.AutoAnalytics.com, 2003

    0 1 2 3 4 50

    1

    2

    3

    4Tr

    ansm

    issi

    bilit

    y R

    atio

    1.414

    0.5

    0.1

    0.15

    0.375

    1.0

    0.25

    Frequency Ratio (f / fn)

    Vibration Isolation Principle

    m

    APPLIED FORCEF = FO sin 2 π f t

    k c FT

    TR = FT / F

    TransmittedForce

    Isolation RegionIsolation Region

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Excitation Force Comingfrom Engine F0

    FT

    Transmissibility Force Ratio is FT/F0

    Isolation from an Applied Force

    Support Forces Transmitted to Body

    Example:A 4 Cyl. Excitation for Firing

    Pulse at 700 RPM has a second order gas pressure torque at 23.3 Hz. Thus, to obtain isolation, the engine roll mode must be below 16.6 Hz.

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Body on Suspension Single DOF ModelIsolation from Base Excitation

    Xin

    Xout

    Transmissibility Ratio is Xout / XinExample: Vertical Ride Mode at 1.3 Hz provides isolation starting at 1.8 Hz.

    This provides isolation for the first order Hop and Tramp modes.

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Simplified Models from 1 to 8 DOF’s

    1 DOF 2 DOF

    fYO

    x

    YO

    x

    4 DOF 8 DOF

    YO

    x

    Enforced Base Motion

    YO

    x

    XYO

    Isolation Region

  • NVH Workshop© www.AutoAnalytics.com, 2003

    8 Degree of Freedom Vehicle NVH Model

    1 2 4 5

    6 7

    8

    3

    TiresWheels

    SuspensionSprings

    Engine Mass

    EngineIsolator

    Flexible Beam for Body

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Vibration and Noise Attenuation Methods

    Main Attenuation Strategies• Reduce the Input Forces from the Source

    • Provide Isolation

    • Mode Management

    • Nodal Point Mounting

    • Dynamic Absorbers

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Vibration and Noise Attenuation Methods

    Main Attenuation Strategies• Reduce the Input Forces from the Source

    • Provide Isolation

    • Mode Management

    • Nodal Point Mounting

    • Dynamic Absorbers

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Reduction of Input Forces from the Source

    Road Load Excitation• Use Bigger / Softer Tires• Reduce Tire Force Variation• Drive on Smoother Roads

    Powertrain Excitation• Reduce Driveshaft Unbalance Tolerance• Use a Smaller Output Engine• Move Idle Speed to Avoid Excitation Alignment• Modify Reciprocating Imbalance to alter Amplitude or

    Plane of Action of the Force.

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Vibration and Noise Attenuation Methods

    Main Attenuation Strategies• Reduce the Input Forces from the Source

    • Provide Improved Isolation

    • Mode Management

    • Nodal Point Mounting

    • Dynamic Absorbers

  • NVH Workshop© www.AutoAnalytics.com, 2003

    8 Degree of Freedom Vehicle NVH ModelForce Applied to Powertrain Assembly

    Forces at Powertrain could represent a First OrderRotating Imbalance

    1 2 4 5

    6 7

    8

    3

    Feng

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Engine Isolation Example

    Response at Mid Car

    0.0001

    0.0010

    0.0100

    0.1000

    1.0000

    5.0 10.0 15.0 20.0Frequency Hz

    Velo

    city

    (mm

    /sec

    )

    Constant Force Load; F ~ A 15.9 Hz8.5 Hz7.0 Hz

    700 Min. RPM First Order UnbalanceOperation Range of Interest

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Concepts for Increased Isolation“Double” isolation is the typical strategy for further improving isolation of a given vehicle design.

    Subframe is Intermediate Structure

    Suspension Bushing is first level

    Second Level of Isolation is at Subframe

    to Body Mount

  • NVH Workshop© www.AutoAnalytics.com, 2003

    8 Degree of Freedom Vehicle NVH ModelRemoved Double Isolation Effect

    1 2 4 5

    6 7

    8

    3

    WheelMass

    Removed

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Double Isolation ExampleVertical Response at DOF3

    0.0E+00

    1.0E+00

    2.0E+00

    3.0E+00

    4.0E+00

    5.0E+00

    6.0E+00

    5.0 10.0 15.0 20.0Frequency Hz

    Velo

    city

    (m

    m/s

    ec)

    Base Model

    Without Double_ISO

    1.414*fn

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Vibration and Noise Attenuation Methods

    Main Attenuation Strategies• Reduce the Input Forces from the Source

    • Provide Isolation

    • Mode Management

    • Nodal Point Mounting

    • Dynamic Absorbers

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Mode Management Chart

    0 5 10 15 20 25 30 35 40 45 50HzFirst Order Wheel/Tire Unbalance V8 Idle

    Hot - Cold

    EXCITATION SOURCESInherent Excitations (General Road Spectrum, Reciprocating Unbalance, Gas Torque, etc.)Process Variation Excitations (Engine, Driveline, Accessory, Wheel/Tire Unbalances)

    Hz

    Hz0 5 10 15 20 25 30 35 40 45 50

    0 5 10 15 20 25 30 35 40 45 50

    CHASSIS/POWERTRAIN MODES

    Ride ModesPowertrain Modes

    Suspension Hop and Tramp ModesSuspension Longitudinal Modes

    Exhaust Modes

    BODY/ACOUSTIC MODES

    Body First Bending First Acoustic Mode

    Steering Column First Vertical BendingBody First Torsion

    (See Ref. 1)

  • NVH Workshop© www.AutoAnalytics.com, 2003

    8 Degree of Freedom Vehicle NVH ModelBending Mode Frequency Separation

    1 2 4 5

    6 7

    8

    3

    Beam Stiffness was adjusted to align Bending

    Frequency with Suspension Modes and then

    progressively separated back to Baseline.

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Response at Mid Car

    0.10

    1.00

    10.00

    100.00

    5 10 15 20Frequency Hz

    Velo

    city

    (mm

    /sec

    )

    18.2 Hz Bending13.Hz Bending10.6 Bending

    8 DOF Mode Separation Example

    18.2 Hz13.0 Hz

    10.6 Hz

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Vibration and Noise Attenuation Methods

    Main Attenuation Strategies• Reduce the Input Forces from the Source

    • Provide Isolation

    • Mode Management

    • Nodal Point Mounting

    • Dynamic Absorbers

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Front input forces Rear input forces

    First Bending: Nodal Point Mounting ExampleMount at Nodal Point

    Locate wheel centers at node points of the first bending modeshapeto prevent excitation coming from suspension input motion.

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Passenger sits at node point for First Torsion.

    Side View

    First Torsion: Nodal Point Mounting ExamplesMount at Nodal Point

    Transmission Mount of a3 Mount N-S P/T is nearthe Torsion Node.

    Rear View

    Engine

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Powertrain Bending Mode Nodal Mounting

    1 2 4 5

    6 7

    3

    Mount system is placed to support Powertrain at the Nodal Locations of the First order Bending Mode. Best compromise with Plan View nodes should also be considered.

  • NVH Workshop© www.AutoAnalytics.com, 2003

    8 Degree of Freedom Vehicle NVH ModelBending Node Alignment with Wheel Centers

    1 2 4 5

    6 7

    8

    3

    Redistribute Beam Masses to move Node Points to

    Align with points 2 and 4

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Response at Mid-Car

    0.0E+00

    1.0E+00

    2.0E+00

    3.0E+00

    4.0E+00

    5.0 10.0 15.0 20.0Frequency Hz

    Velo

    city

    (m

    m/s

    ec)

    Node ShiftedBase Model

    First Bending Nodal Point Alignment

  • NVH Workshop© www.AutoAnalytics.com, 2003

    T

    = 1 / T= 1 / T

    < is more important than >< is more important than >

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Vibration and Noise Attenuation Methods

    Main Attenuation Strategies• Reduce the Input Forces from the Source

    • Provide Isolation

    • Mode Management

    • Nodal Point Mounting

    • Dynamic Absorbers

  • NVH Workshop© www.AutoAnalytics.com, 2003

    0.0

    0.5

    1.0

    1.5

    2.0

    2.5

    3.0

    3.5

    4.0

    0.0 0.5 1.0 1.5 2.0Frequency Hz

    Dis

    plac

    emen

    t m

    m

    YO

    xSDOF

    Dynamic Absorber Concept

    MYO

    x

    Auxiliary Spring-Mass-Damperm = M / 10

    2DOFM

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Powertrain Example of Dynamic Absorber

    Anti-Node Identifiedat end of Powerplant

    k c

    Absorber attached at anti-node acting in the Vertical and Lateral plane.

    Tuning Frequency = √√√√ k/m

    m

    [Figure Courtesy of DaimlerChrysler Corporation]

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Baseline Sound Level63 Hz Dynamic Absorber63 + 110 Hz Absorbers

    Baseline Sound Level63 Hz Dynamic Absorber63 + 110 Hz Absorbers

    [Figure Courtesy of DaimlerChrysler Corporation]

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Vibration and Noise Attenuation Methods

    Main Attenuation Strategies• Reduce the Input Forces from the Source

    • Provide Isolation

    • Mode Management

    • Nodal Point Mounting

    • Dynamic Absorbers

  • NVH Workshop© www.AutoAnalytics.com, 2003

    NVH Workshop Topic Outline• Introduction• Ride Balance in the Ride Range• NVH Load Conditions• Low Frequency Basics• Live Noise Attenuation Demo• Mid Frequency Basics• Utilization of Simulation Models• Closing Remarks

    Greg Goetchius

  • NVH Workshop© www.AutoAnalytics.com, 2003

    NVH Workshop Topic Outline• Introduction• Ride Balance in the Ride Range• NVH Load Conditions• Low Frequency Basics• Live Noise Attenuation Demo• Mid Frequency Basics• Utilization of Simulation Models• Closing Remarks

    Sachin Gogate

  • NVH Workshop© www.AutoAnalytics.com, 2003

    RECEIVER

    PATH

    SOURCE

    Mid Frequency NVH Fundamentals

    This looks familiar!Frequency Range of Interest has changed to

    150 Hz to 500 Hz

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Typical NVH Pathways to the Passenger

    PATHS FOR

    STRUCTURE BORNE

    NVH

    Noise Paths are thesame as Low

    Frequency Region

    Noise Paths are thesame as Low

    Frequency Region

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Mid-Frequency Analysis CharacterStructure Borne Noise

    Airborne Noise

    Res

    pons

    e

    Log Frequency“Low”

    Global Stiffness“Mid”

    Local Stiffness+

    Damping

    “High”

    Absorption+

    Mass+

    Sealing

    ~ 150 Hz ~ 1000 Hz ~ 10,000 Hz

    High modal densityand coupling insource, path andreceiver

    • Mode separation is less practical inmid-frequency

    • Effective isolation of energy betweensource and receiver at key noise pathsis the basis of mid-frequency analysis

    •• Mode separation is less practical inMode separation is less practical inmidmid--frequencyfrequency

    •• Effective isolation of energy betweenEffective isolation of energy betweensource and receiver at key noise pathssource and receiver at key noise pathsis the basis of midis the basis of mid--frequency analysisfrequency analysis

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Mid-Frequency Analysis Character

    • Important characteristics of mid frequency analysis

    &

    Identifying Key Noise Paths

    Effective Isolation

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Mid-Frequency Analysis Character

    &

    • Important characteristics of mid frequency analysis

    Identifying Key Noise Paths

    Effective IsolationEffective Isolation

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Classical SDOF Rigid Source and Receiver

    T ran

    smis

    sib i

    lity

    Rat

    io

    1.0 1.414 10.0

    f / f n

    “Real Structure”Flexible (Mobile)Source and Receiver

    Isolation Effectiveness

    Effectiveness deviates from the classical development as resonances occur in the receiver structure and in the foundation of the source.

    Isolation RegionIsolation Region

    1.0

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Mobility• Mobility is the ratio of velocity response at the excitation point on structure

    where point force is applied

    Mobility =Velocity

    Force

    • Mobility, also referred as Admittance, characterizes Dynamic Stiffness of the structure at load application point

    Mobility =Frequency * Displacement

    Force

    =Frequency

    Dynamic Stiffness

  • NVH Workshop

    • The isolation effectiveness can be quantified by a theoretical model based on analysis of mobilities of receiver, isolator and source

    • Transmissibility ratio is used to objectively define measure of isolation

    TR =Force from source without isolator

    Force from source with isolator

    Isolation

    V r

    V ir

    V is

    F r

    F ir

    Receiver

    Source

    F is

    Fs V s

    Isolator

    VF s= Y i + Y r + Y s

    V r

    F r

    Receiver

    Source

    F s V s

    VF s= Y r + Y s

    VV

    2003, 2005 ERRATA

  • NVH Workshop

    • The isolation effectiveness can be quantified by a theoretical model based on analysis of mobilities of receiver, isolator and source

    • Transmissibility ratio is used to objectively define measure of isolation

    TR =Force from source without isolator

    Force from source with isolator

    Isolation

    V r

    V ir

    V is

    F r

    F ir

    Receiver

    Source

    F is

    Fs V s

    Isolator

    VF s= Y i + Y r + Y s

    V r

    F r

    Receiver

    Source

    F s V s

    VF s= Y r + Y s

    VV

  • NVH Workshop

    Isolation

    TR = ⏐ ( Y r + Y s ) / ( Y i + Y r + Y s ) ⏐

    • For Effective Isolation (Low TR) the Isolator Mobility must exceed the sum of the Source and Receiver Mobilities.

    Y r : Receiver mobility

    Y s : Source mobility

    Y i : Isolator mobility

    V m

    V im

    V if

    F m

    F im

    Receiver

    Source

    F if

    F f V f

    Isolator

    TR = Force from source without an isolator Force from source with an isolator

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Mid-Frequency Analysis Character

    Effective Isolation

    &

    • Important characteristics of mid frequency analysis

    Identifying Key Noise PathsIdentifying Key Noise Paths

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Identifying Key Noise Paths• Key noise paths identified by Transfer Path Analysis (TPA)

    Fi

    TactileTransferTactile

    TransferAcousticTransfer

    AcousticTransfer

    Operating loads Operating loads

    • TPA is a technique to perform phased summation of partial responses through all noise paths to give total tactile or acoustic response under operating loads at a given frequency

    • TPA is applicable in both testing and simulation scenarios to identify key noise paths

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Transfer Path Analysis

    Fi

    Operating loads Operating loads

    • Total operating Response (Tactile/Acoustic) is summation of partial responses through all noise paths

    Rt = ΣΣΣΣ paths [Ri ] = ΣΣΣΣ paths [ Fi * (R/F) i ]

    Acoustic Transfer (P/F)iAcoustic Transfer (P/F)iTactile Transfer (T/F)iTactile Transfer (T/F)i

    Ri : Partial contribution of path i due to operating force

    Operating loads createForces (Fi) into body atAll noise paths

    (R/F) i : Tactile or Acoustic Transfer Function

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Transfer Path Analysis

    ( contributors + )

    ( reducers - )

    FrontUpperControlArm

    FrontShockAbsorber Rear

    ShockAbsorber

    RearUpperArm

    TotalNoise

    (((( AllPaths))))FrontStabilizer

    FrontSpring

    • TPA allows path rankings based on contribution to total response of noise paths at a given frequency

    • TPA thus helps identify key noise paths

    • TPA is mainly used for acoustic response in mid frequency range

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Designing for Mid Frequency

    • Important characteristics of mid frequency analysis

    Effective Isolation

    &

    Identifying Key Noise Paths

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Designing for Mid Frequency

    While designing a new vehicle, generic targets are set for key parameters along all noise paths in order to achieve effective isolation.

    What are these generic targets andkey parameters ?

    What are these generic targets andkey parameters ?

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Generic Noise Path Targets

    Operating loads Operating loads

    Acoustic Transfer (P/F)iAcoustic Transfer (P/F)i

    ∆∆∆∆ XKBsng

    V/F

    P/VP/F

    F

    Ksource

    (Kbody)

    Transmissibility along a given noise path (TRi)TR = ( Y r + Y s ) //// ( Y i + Y r + Y s )

    TR = ( ) //// ( ) K body1

    K source1+ K body

    1 + K iso.1

    K source1+

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Generic Noise Path TargetsTR = ( ) //// ( ) K body

    1K source1+ K body

    1 + K iso.1

    K source1+

    K isoK source.

    K isoK body.

    1.0 5.0 Infinite

    1.0

    5.0

    Infinite

    0.67 0.54 0.50

    0.54 0.28 0.17

    0.50 0.17 0.00

    As a generic target, body to bushing stiffness ratio ofat least 5.0 and very high source to bushing stiffnessratio (~ infinite) is desired to achieve “good” TR of 0.17

  • NVH Workshop© www.AutoAnalytics.com, 2003

    0

    0.1

    0.2

    0.3

    0.4

    0.5

    1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10

    Series2

    0.0

    0.1

    0.2

    0.3

    0.4

    0.5

    1 2 3 4 5 6 7 8 9 10

    Stiffness Ratio; K body / K bsg

    Tran

    smis

    sibi

    lity

    Rat

    io

    TR = ( K bsg ) //// ( K bsg + K body ) For infinitely stiff (immobile) source

    Target Min. = 5

    Relationship of Body-to-Bushing Stiffness ratio to Transmissibility

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Generic Noise Path Targets

    Fi

    Operating loads Operating loads

    Acoustic Transfer (P/F)iAcoustic Transfer (P/F)iTactile Transfer (T/F)iTactile Transfer (T/F)i

    Operating loads createForces (Fi) into body atAll noise paths

    Rt = ΣΣΣΣ paths [Ri ] = ΣΣΣΣ paths [ Fi * (R/F) i ] = ΣΣΣΣ paths [ Fi * (R/V) i * (V/F)i]

    Response Rt could be either Tactile or Acoustic Response

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Generic Noise Path Targets

    • For a given force generated at suspension attachment to body, lowering sensitivities (P/F) or (V/F) along a pathwould reduce total response

    • As a generic target,

    - Acoustic sensitivity (P/F) in 55-60 dBL/N range- Structural Mobility (V/F) less than 0.312 mm/sec/N

    For example, for Acoustic Response Pt

    Pt = ΣΣΣΣ paths [Pi ] = ΣΣΣΣ paths [ Fi * (P/F) i ] = ΣΣΣΣ paths [ Fi * (P/V) i * (V/F)i]

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Generic Noise Path TargetsHow does one achieve these generic targets :

    K iso

    K body >= 5.0K iso

    K source ~ infinite

    AcousticMobility

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Generic Noise Path TargetsHow does one achieve

    • Increase local body attachment stiffness (Kbody) through structural modifications

    K iso

    K body >= 5.0

    • Reduce attachment isolator stiffness (Kiso) while balancing the conflicting requirement of other functionalities such as Ride & Handling

    StructuralMobility < 0.312

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Generic Noise Path Targets

    How does one achieve

    • Increase source side attachment stiffness (Ksource)

    • Reduce attachment isolator stiffness (Kiso)

    K iso

    K source ~ infinite

    In automotive structures, it is realistic to expect that source to isolator stiffness ratio is almost infinite since source usually corresponds to stiff structure (such as powertrain or axle)

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Source Excitation Characteristics

    Other means of reducing source input to paths

    - Add lumped mass on component

    - Use tuned absorber

    - Bring nodal points toward path

    Applicable when Rigid BodyResonance of Source SideComponent are present

    Applicable when flexible modesof source side componentare present

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Generic Noise Path Targets

    How does one achieve AcousticMobility

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Generic Noise Path Targets

    How does one achieve AcousticMobility

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Application of Damping TreatmentEffect on sound response of damping treatment applied on key identified contributing panels

    [Figure Courtesy of DaimlerChrysler Corporation]

    12.5dBA Reduction

    Floor with no damping treatment

    Floor with damping treatment

    Frequency (Hz)

    5.0 dBA

    SPL

    (dB

    A)

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Designing for Mid Frequency

    While designing a new vehicle, generic targets are set for key parameters along all noise paths in order to achieve effective isolation.

    is it really necessary to achieve generic targets forall noise paths ?

    is it really necessary to achieve generic targets forall noise paths ?

    Probably Not !!Probably Not !!

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Designing for Mid FrequencyDriver’s Ear Noise

    Vehicle Level Response

    Original Noise Path Contributions

    Transfer Path Analysis

    Some noise paths are more dominant than others

    Impose more strict requirements for these dominant paths and relax requirements for other paths to achieve more “rebalanced”noise

    Original Noise Path Contributions

    Driver’s Ear Noise

    Vehicle Response to Meet NVH Targets

    Original NoiseReduced Noise

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Designing for Mid Frequency

    Principles to follow

    • At the beginning of program, work towards generic targets for key parameters for all noise paths in order to achieve effective isolation.

    • As the design is firmed out, evaluate key noise paths using Transfer Path Analysis in order to meet target for all NVH operating load conditions.

    • Perform path “rebalancing” to arrive at revised path targets (more strict for dominant paths) for all NVH operating load conditions.

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Yesor

    Time Out

    No

    Re-DesignSub-System

    Evaluate Sub-SystemPerformance

    Evaluate Sub-SystemPerformance

    No

    Meet VehicleGoals?

    RebalanceTrade-OffRebalanceTrade-Off

    Meet Sub-System

    Goals? Evaluate Vehicle GoalsEvaluate Vehicle Goals

    Mid Frequency NVH Goal Achievement Process

    Initial Sub-System Targets

    Yesor

    Time Out

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Mid Frequency NVH Improvement (Sports Utility Vehicle Example)

    Full Vehicle ModelFull Vehicle Model

    [Figure Courtesy of DaimlerChrysler Corporation]

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Mid Frequency NVH Improvement(Sports Utility Vehicle Example)

    Powertrain/Axle/Suspension ModelPowertrain/Axle/Suspension Model[Figure Courtesy of DaimlerChrysler Corporation]

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Mid Frequency NVH Improvement(Sports Utility Vehicle Example)

    Acoustic Cavity ModelAcoustic Cavity Model[Figure Courtesy of DaimlerChrysler Corporation]

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Mid-Frequency NVH improvementAxle Whine Example : 300-500 Hz

    θθθθθθθθ

    θθθθθθθθ

    Trimmed Body

    Interior Acoustic Cavity

    Chassis

    Front and Rear Axle Gear-Pinion Mesh Transmission Error

    SOURCE ------------- PATH ---------------- RECEIVER[Figure Courtesy of DaimlerChrysler Corporation]

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Axle Whine Example• Design work was focused in the beginning towards achieving generic targets for all noise paths

    • As the design was firmed out, full vehicle analysis revealed under target performance for Driver’s ear SPL response which was dominated by rear excitation

    [Figure Courtesy of DaimlerChrysler Corporation]

    400 Hz 500 Hz300 Hz

    10dBA

    FR + RR Excitation

    FR Excitation Only

    RR Excitation Only(Dominates Total Content)

    Target Level

    Sound Response with Varying Excitation

    Frequency (Hz)

    SPL(

    dBA

    )

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Axle Whine Example• Before embarking on identifying the root cause for under-target performance at dominant noise paths, it is a good practice to perform reasonableness check on the response• Steps for Reasonableness Determination

    ! Judging the response based on system knowledge• Total response content is dominated by rear excitation. This is

    reasonable since vehicle has IFS and solid axle rear suspension which is harder to isolate for noise

    ! Forced mode Animation • Operating deformed shape motion is rear axle pitching about ring

    gear axis. This was expected since input excitation is MTE imposed as enforced angular rotation between ring and pinion gear

    !Disconnect Studies• Disconnecting rear suspension noise paths (shock in particular) in

    pair had the most significant effect on Driver’s SPL response

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Axle Whine Example• Transfer Path Analysis

    • Dominant Paths• Rear left shock vertical• Rear LCA vertical : Left is positive whereas right is negative contributor • Rear Right shock vertical

    • The conclusion matches with reasonableness checks[Figure Courtesy of DaimlerChrysler Corporation]

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Rt = ΣΣΣΣ paths [Ri ] = ΣΣΣΣ paths [ Fi * (R/F) i ]

    • Is it high forces or high acoustic sensitivity at shock to body attachment ?

    Acoustic sensitivity is better than generic targetAcoustic sensitivity is better than generic target

    Axle Whine Example

    • The issue is with high forces into the body through shock attachment due to stiff shock bushings• Stiff shock bushings gave low body-to-bushing stiffness ratio

    [Figure Courtesy of DaimlerChrysler Corporation]

    5dBL/N

    Aco

    ustic

    Sen

    sitiv

    ity (d

    BL/

    N)

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Axle Whine ExampleSolution• Soften shock vertical bushings by 65%

    • To balance this against handlingrequirement of stiff bushing, local attachment stiffness between shock and body was improved through a new bracket design

    • This addition of bracket improved right shock mobility 3 times

    whereas left shock mobility by 1.5 times thereby improving isolation effectiveness of shock bushing

    [Figure Courtesy of DaimlerChrysler Corporation]

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Axle Whine ExampleResponse Improvement due to proposed solution

    [Figure Courtesy of DaimlerChrysler Corporation]

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Axle Whine ExampleHow Robust is the proposed solution ?• Parameter variations such as weld deletion in “new bracket” and gage changes were considered to study robustness of solution

    10 dBA

    Deterministic Responseof Model with proposal

    Scatter of modelWith proposals

    Baseline ModelScatter

    Vehicle Speed (mph)49.5 50.7 51.9 53.2 54.4

    Driv

    er’s

    Ear

    SPL

    (dB

    A)

    48.2

    Deterministic Responseof Baseline Model

    - Response scatter of modelwith proposal does notoverlap baseline model response scatter indicatinga robust solution

    - The problem peak has nowshifted to a new vehiclespeed of 50.7 mph whichrequires a new contributionanalysis

    [Figure Courtesy of DaimlerChrysler Corporation]

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Final Remarks on Mid Frequency Analysis• Effective isolation at dominant noise paths is critical• Effective isolation at dominant noise paths is critical

    • Reduced mobilities at body & source and softenedbushing are key for effective isolation

    • Reduced mobilities at body & source and softenedbushing are key for effective isolation

    • It is important to balance NVH requirement againstother functionalities (Ride and Handling, Impact)

    • It is important to balance NVH requirement againstother functionalities (Ride and Handling, Impact)

    • It is important to understand the robustness ofdesign recommendations

    • It is important to understand the robustness ofdesign recommendations

    • Other means of dealing high levels of source input(Tuned dampers, damping treatments, isolatorplacement at nodal locations) are also effective

    • Other means of dealing high levels of source input(Tuned dampers, damping treatments, isolatorplacement at nodal locations) are also effective

  • NVH Workshop© www.AutoAnalytics.com, 2003

    NVH Workshop Topic Outline• Introduction• Ride Balance in the Ride Range• NVH Load Conditions• Low Frequency Basics• Live Noise Attenuation Demo• Mid Frequency Basics• Utilization of Simulation Models• Closing Remarks Alan Duncan

  • NVH Workshop© www.AutoAnalytics.com, 2003

    NVH Workshop Topic Outline• Introduction

    • Ride Balance in the Ride Range

    • NVH Load Conditions

    • Low Frequency Basics

    • Live Noise Attenuation Demo

    • Mid Frequency Basics

    • Utilization of Simulation Models

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Utilizing NVH Simulation Models

    Considerations• Some Agreement: Math Models can be used as Trend Predictors.

    (but not for absolute levels, yet.)

    • Q. How do I make design decisions before hardware is available?• ANS. Correlation must be performed on existing hardware to

    establish modeling methods to be applied to the future design. (The Reference Baseline Ref. 3)

    A model of the new design is built with the same Methodology as the Reference Baseline to predict the change in performance as the design process progresses but before prototypes are available.

    • Q. How do I know my model is good?• ANS. We require correlation work to know the simulation compares

    to test values to some degree.

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Utilizing NVH Simulation Models

    Considerations• Q. How do I compare my model to test measurement and how close

    does it have to be to assure it can be used as a trend predictor?• ANS. If model predictions were within the band of variability of the

    test measurement, for a statistically significant number of samples, this would increase confidence in the predictive capability.

    • Q. How wide is the band of variability?• ANS. Don’t Ask !!!

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Discussion of Product Variability

    Topics

    • Kompella and Bernhard Observations

    • Freyman NVH Scatter Results

    • Model Confidence Criteria

    • Conclusions

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Frequency ( Hz )

    Mag

    . of F

    RF

    Magnitude of 99 Structure – borne FRF’s for theRodeo’s for the driver microphone( Ref. 8 ) 1993 Society of Automotive Engineers, Inc.

  • NVH Workshop© www.AutoAnalytics.com, 2003( Ref. 9 ) 2000 Society of Automotive Engineers, Inc.

    Frequency ( Hz )

    Soun

    d Pr

    essu

    re [

    dB( l

    in)]

    Frequency ( Hz )

    Phas

    e [o

    ]

    Acoustic scatter numerically determined in the vibro – acoustic behavior of a vehicle due to possible tolerances in the component area and in the production process

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Reference Baseline Confidence CriterionFor Operating Response Simulations

    Test Upper BoundTest Band AverageTest Lower Bound

    Test Variation Band10. dB; 50-150 Hz20. dB; 150-500 Hz

    REF. 8

    Confidence Criterion:Simulation result mustfall within the band oftest variation.

    Simulation Prediction

    FUDGEFACTORS

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Axle Whine Example• Design work was focused in the beginning towards achieving generic targets for all noise paths

    • As the design was firmed out, full vehicle analysis revealed under target performance for Driver’s ear SPL response which was dominated by rear excitation

    [Figure Courtesy of DaimlerChrysler Corporation]

    400 Hz 500 Hz300 Hz

    10dBA

    FR + RR Excitation

    FR Excitation Only

    RR Excitation Only(Dominates Total Content)

    Target Level

    Sound Response with Varying Excitation

    Frequency (Hz)

    SPL(

    dBA

    )

    Must define Targets for the Simulation to know when goal is reached!!!

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Conclusions:Significant Product Variation exists even in best-in-class vehicles.

    Correlation should be considered as being within the band of variability whether test or simulation.

    The Confidence Criteria, for operating responses, is a relatively challenging condition to meet when considering the following:

    " It uses the same bandwidth as Kompella (Ref. 8), determined from simple FRF’s, while the criteria is for operating responses which are subject to additional variation in the operating loads.

    " It assumes that one test will generate the mean response level in the band subject to the condition that a “qualified” median performer will be tested. This requires a test engineer extremely experienced with the vehicle line in order to “qualify” the vehicle.

    Best hope for reduced product development times is a coordinated effort of Virtual Vehicle Simulation and Reference Baseline and Physical Prototype Testing to grasp the complexities of NVH responses and the robustness of their sensitivity to variation.

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Rideand

    Handling

    NVH Durability

    ImpactCrashWorthiness

    Competing Vehicle Design Disciplines

  • NVH Workshop© www.AutoAnalytics.com, 2003

    The Fundamental Secret ofStructure Borne

    NVH Performance

    The Fundamental Secret ofStructure Borne

    NVH Performance

    Revealed here tonight !

  • NVH Workshop© www.AutoAnalytics.com, 2003

    Fundamental Secret to Making Money

    in the Stock Market

    Buy Low and Sell High !

  • NVH Workshop© www.AutoAnalytics.com, 2003

    The Fundamental Secret of Structure Borne NVH Performance

    The Fundamental Secret of Structure The Fundamental Secret of Structure Borne NVH PerformanceBorne NVH Performance

    Meets Conditions of the Attenuations Strategies• Minimize the Source Load• Manage Mode Placement• Provide Isolation• Mount at Nodal Points• Provide Dynamic Absorber•Reduce Source - Receiver Mobility

    To Minimize Structure Borne NVH response, always connect Sub-systems at locations

    where motion is at a Minimum.

  • NVH Workshop© www.AutoAnalytics.com, 2003

    The Fundamental Secret of Structure Borne NVH Performance

    The Fundamental Secret of Structure The Fundamental Secret of Structure Borne NVH PerformanceBorne NVH Performance

    Meets Conditions of the Attenuations Strategies• Minimize the Source Load• Manage Mode Placement• Provide Isolation• Mount at Nodal Points• Provide Dynamic Absorber•Reduce Source - Receiver Mobility

    That’s All Folks !Thank You for Attending the

    SAE Structure Borne NVH Workshop

    Your Presenters tonight were:

    Alan Duncan, Automotive Analytics, Inc.Greg Goetchius, Material Sciences Corp.Sachin Gogate, Altair Engineering, Inc.

    Visit: www.AutoAnalytics.com/papers.htmlto download the Structure Borne NVH Workshop ( May 12 )

    To Minimize Structure Borne NVH response, always connect Sub-systems at locations

    where motion is at a Minimum.