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Structure Borne NVH Basics
  SAE 2007 NVH Conference; St. Charles, Illinois
       Wednesday Evening, May 16, 2007

Presenters:

A. E. Duncan    Material Sciences Corp.

G. Goetchius   Material Sciences Corp.

S. Gogate      DaimlerChrysler Corp.


Sponsored By:
SAE Noise and Vibration Committee
                                               NVH Workshop
NVH Workshop Topic Outline
 • Introduction
 • Fundamentals in NVH
 • Automotive NVH Load Conditions
 • Low Frequency Basics
 • Live Noise Attenuation Demo
 • Mid Frequency Basics
 • Utilization of Simulation Models
 • Closing Remarks

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




 Revealed here today !      NVH Workshop
Structure Borne NVH References
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 Workshop - on Internet
    Available online at www.AutoAnalytics.com                    NVH Workshop
Structure Borne NVH References
Supplemental References
5. 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


                                                             NVH Workshop
NVH Workshop Topic Outline
 • Introduction
 • Fundamentals in NVH
 • Automotive NVH Load Conditions
 • Low Frequency Basics



                                    NVH Workshop
Competing Vehicle Design Disciplines


        Ride            Impact
        and        CrashWorthiness
      Handling




                     Durability
        NVH



                                     NVH Workshop
NVH Workshop Topic Outline
 • Introduction
 • Fundamentals in NVH
 • NVH Load Conditions
 • Low Frequency Basics



                             NVH Workshop
Fundamentals in NVH

• What is N, V and H?
• Time and Frequency Relation
• Subjective to Objective Conversions
• Single Degree of Vibration and Vibration
 Isolation Principle
• Automotive NVH Frequency Range



                                        NVH Workshop
What is N, V and H?
                     (in Automotive Context)
Based on SAEJ670e Standard (Vehicle Dynamics Committee July 1952)

 Noise : Vibration perceived audibly and characterized as
 sensations of pressure by the ear

 Vibration : Perceived tactually (at vehicle occupant
 interface points of steering column, seats, etc.


 Harshness : Related to transient nature of vibration and
 noise associated with abrupt transition in vehicle motion. It
 could be perceived both tactually and audibly

  Together, they define the measure of vehicle
  NVH Quality
                                                           NVH Workshop
Time and Frequency Relation
                              Acoustic
                              Acoustic




                                                    Tactile or Acoustic Response
              Tactile
               Tactile
                              Tactile
                               Tactile




                                                                                   Time (Sec)

Operating
                                  Operating loads
            Operating loads
loads

  • Responses perceived in vehicle vary with time as
  vehicle operates under loads
  • Responses are usually steady state and periodic in
  nature
  • It is convenient and intuitive to consider responses in
  frequency domain while preserving the signal content
                                                                                                NVH Workshop
Time and Frequency Relation
• Conversion to frequency domain lends to formulation of
principles for addressing structure borne NVH
                                                                 Frequency (Hz)


                                                                   40 Hz
                                                                 (Colum
                                                                        n
Amplitude




                                                                  Mode)




                                                   25 H
                                             (Vehicle z
                                                      Flexible
                                               Body M
                                                       o d e)




                                                                                           n
                                  15 Hz




                                                                                         io
                              (Suspe




                                                                                      at
                                     nsion




                                                                                     m
                                 Mode)
                                                            X(f)




                                                                                    m
                                                                                               Overall Response, X(t)




                                                                                  Su
                                                                                ed
                 5 Hz

                                                                              as
            (Vehicle
                     Rigid                                                  Ph
             Body M
                     o d e)




                                                                                                        Time (Sec)
                                                    Time
                                                                                                            NVH Workshop
Time and Frequency Relation
• Mathematically Speaking …….


  X ( f ) = Fourier Transform of X ( t )




                                           NVH Workshop
Time and Frequency Relation
• Responses can be obtained in frequency
domain either through Fourier Transform of time
domain signal or directly in frequency domain
                       Test World


                          X ( t ) Fourier X ( f )
    F(t)
           Vehicle System
                                 Transform

    Fourier
   Transform


           F(f)                                X(f)
                   Vehicle System

                  Common in Simulation World
                                                      NVH Workshop
NVH Model of Unibody Passenger Car
                        Symbolic Outline




                  8

                                                       4
                                    3                                     5
1                 2
                                                       7
                  6


                                                 Tires      350.3 N/mm
     Total        2178.2 Kg   (4800LBS)
                                                 KF         43.8  N/mm
Mass Sprung       1996.7 Kg
                                                 KR         63.1  N /mm
     Unsprung     181.5 Kg    (8.33% of Total)
                                                 Beam mass lumped on
     Powertrain   181.5 Kg
                                                 grids like a beam
                                                 M2,3,4 =2 * M1,5
     From Reference 6                                              NVH Workshop
Excitation Bum p Profile
                        20.0

                                                            Profile
Profile Height (m m )




                        15.0



                        10.0



                         5.0



                         0.0
                                                            400 On to 100,380
                               0     100    200    300                 500

                                            Distance (mm)


                                                                      NVH Workshop
Pitch at Mid-Car DOF3
                              1.0E-04
                              8.0E-05
R o ta tio n - R a d ia n s



                                                                        Base Model
                              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                3
                                                      Time (sec.)
                                                                               NVH Workshop
Pitch Response - Baseline Model
                           1.E-04

                                                                         Base Model
R o tat io n R a d ian s



                           1.E-05



                           1.E-06



                           1.E-07



                           1.E-08

                                0.0          5.0        10.0      15.0                20.0
                                                   Frequency Hz
                                                                                  NVH Workshop
Transform Input Force to F(f)
                            FFT of the Input Bump
               1.E-01
                                                          Bump FFT

               1.E-02
Amplitude mm




               1.E-03


                        20 Hz Amplitude   is Approximately
                              @ 45 MPH
               1.E-04
                                     Constant over the
                                     Frequency Range
               1.E-05



               1.E-06
                                          Constant Displacement
                   0.E+00   4.E-03    8.E-03  1.E-02  2.E-02 2.E-02
                                     Cycles / mm
                                                                20.0 Hz
                            0.0
                                                                     NVH Workshop
P itc h a t M id -C a r D O F 3
                  1 .0 E-0 4
RotationRadians


                                                                 Tim e D o m a in F F T
                  1 .0 E-0 5
                                                                 F F T o f In p u t




                  1 .0 E-0 6




                  1 .0 E-0 7




                  1 .0 E-0 8
                               0           5          10             15                   20
                                         F re q u e n c y   Hz

                                                                                      NVH Workshop
Subjective to Objective Conversions

Subjective NVH Ratings are typically based on a
  10 Point Scale resulting from Ride Testing
    Receiver Sensitivity is a Key Consideration

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

TACTILE: 50% reduction in motion

SOUND : 6.dB reduction in sound pressure level
        ( long standing rule of thumb )
                                                  NVH Workshop
Single Degree of Freedom Vibration
             APPLIED FORCE

             F = FO sin 2 π f t


                                    √
                                                   f
                                        1 + ( 2 d fn ) 2
              TR = FT / F       =                            f
                                        ( 1- f 2 ) 2 + ( 2 d f ) 2
                                               2

     m                                      fn               n




                  Transmitted
                     Force
         c
 k                                  d = fraction of critical damping
                  FT
                                    fn = natural frequency √(k/m)
                                    f = operating frequency

                                                                 NVH Workshop
Vibration Isolation Principle
                         4
                                               0.1
                                                                APPLIED FORCE
Transmissibility Ratio

                                               0.15

                                                                 F = FO sin 2 π f t
                         3

                                                                            TR = FT / F
                                                                m
                                                0.25

                                                                        c
                                                            k                FT
                         2                                                        Transmitted
                                                0.375                                Force
                                                 0.5
                                    1.0
                         1
                                                                            Isolation Region
                                                                             Isolation Region


                         0
                                               1.414
                             0            1             2           3             4             5
                                              Frequency Ratio (f / fn)
                                                                                                NVH Workshop
Isolation from an Applied Force
Excitation Force Coming
      from Engine  F0

                               Transmissibility
                               Force Ratio is FT/F0
                               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
                          FT   must be below 16.6 Hz.

           Support Forces
         Transmitted to Body


                                                           NVH Workshop
Automotive NVH Frequency Range

                Structure Borne Noise
                                                        Airborne Noise
Response




                                                         Absorption
                                                             +
                              Local Stiffness              Mass
                                     +                       +
                                Damping                   Sealing
           Global Stiffness
                                                           “High”
               “Low”                “Mid”

                         ~ 150 Hz           ~ 1000 Hz                    ~ 10,000 Hz

                                    Log Frequency
                                                                            NVH Workshop
NVH Workshop Outline
 • Introduction
 • Fundamentals in NVH
 • NVH Load Conditions
 • Low Frequency Basics



                          NVH Workshop
Noise and Vibration Sources




Suspension
                                 Powertrain




             Two Main Sources
                                      NVH Workshop
Typical NVH Pathways to the Passenger




                 PATHS
                  FOR
               STRUCTURE
                 BORNE
                  NVH



                                  NVH Workshop
Powertrain
Induced




             NVH Workshop
NVH Workshop Topic Outline
 • Introduction
 • Fundamentals in NVH
 • NVH Load Conditions
 • Low Frequency Basics




                             NVH Workshop
Low Frequency NVH Fundamentals



              RECEIVER




       PATH

                         SOURCE



                                  NVH Workshop
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
8 Degree of Freedom Vehicle NVH Model
Engine Mass
              8
Engine                      Flexible Beam for Body
Isolator
                       3             4              5
              2
1
                  Suspension
                    Springs
              6                      7
                    Wheels
                    Tires




                                              NVH Workshop
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
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
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
8 Degree of Freedom Vehicle NVH Model
       Force Applied to Powertrain Assembly
    Feng
               8




                                  3                 4                 5
               2
1




               6                                    7




           Forces at Powertrain could represent a First Order
                         Rotating Imbalance

                                                                NVH Workshop
Engine Isolation Example
                                                  Response at M id Car
                    1.0000
                                                                                15.9 Hz
                                                          F~A
                                   Constant Force Load;
                                                                                8.5 Hz
Velocity (mm/sec)




                    0.1000
                                                                                7.0 Hz


                    0.0100




                    0.0010


                                                                       700 Min. RPM First Order Unbalance
                                                                           Operation Range of Interest
                    0.0001
                             5.0                          10.0                  15.0                        20.0
                                                                 Frequency Hz



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


     Second Level of
 Isolation is at Subframe
      to Body Mount

      Subframe is
 Intermediate Structure


 Suspension Bushing is first level




                                                 NVH Workshop
8 Degree of Freedom Vehicle NVH Model
      Removed Double Isolation Effect

         8




                     3           4            5
         2
1


                Wheel
                Mass
         6                       7


               Removed



                                        NVH Workshop
Double Isolation Example
                             Vertical Response at DOF3
             6.0E+00

                                Base Model
             5.0E+00
  (mm/sec)




                                Without Double_ISO

             4.0E+00

             3.0E+00
Velocity




                                                     1.414*fn
             2.0E+00

             1.0E+00

             0.0E+00
                       5.0               10.0        15.0       20.0
                                       Frequency Hz
                                                                 NVH Workshop
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
Mode Management
• Provide Separation between:

  • Critical modes of Sub-systems in Vehicle (e.g.
  Body, Suspension, Powertrain, etc.)

  • Critical modes of Sub-systems and Excitation




                                                 NVH Workshop
Need for Mode Management
Beam Stiffness which represents the body stiffness was
adjusted to align Bending Frequency with Suspension Modes
and then progressively separated back to Baseline.

                  Baseline Bending     18.2 Hz

                  Baseline Suspension 10.6 Hz
              8


                                     Flexible Beam for Body
                              3                  4          5
              2
1
                      Suspension
                        Springs
              6                                  7
                         Wheels
                          Tires

                                                      NVH Workshop
8 DOF Mode Separation Example
                               Response at Mid Car                              18.2 Hz Bending
                                                                                13.Hz Bending
          100.00
                                                                                 10.6 Bending
                                                       Prog
                                                           re
                                                      “veh ssive re
                                                                     d
                                                          icle”
                                                                bend uction in
                                     10.6 Hz                        ing m      the
Velocity (mm/sec)




                                                                          ode

                                                   13.0 Hz
                10.00
                                                                                18.2 Hz



                    1.00




                                 Suspension Mode

                    0.10

                           5        10                         15                               20
                                       Frequency Hz

                                                                                        NVH Workshop
Mode Management Chart
EXCITATION SOURCES
  Inherent Excitations (General Road Spectrum, Reciprocating Unbalance, Gas Torque, etc.)
  Process Variation Excitations (Engine, Driveline, Accessory, Wheel/Tire Unbalances)
  0          5       10       15         20      25      30      35        40        45       50
                                                                                                   Hz
      First Order Wheel/Tire Unbalance                         V8 Idle
                                                              Hot - Cold


CHASSIS/POWERTRAIN MODES
                      Suspension Hop and Tramp Modes
 Ride Modes                                Suspension Longitudinal Modes
                 Powertrain Modes                                               Exhaust Modes
  0          5       10       15         20      25      30      35        40        45       50
                                                                                                   Hz

BODY/ACOUSTIC MODES
                      Body First Torsion                 Steering Column First Vertical Bending
             Body First Bending                                  First Acoustic Mode

  0          5       10       15         20      25      30      35        40        45       50
                                                                                                   Hz
           (See Ref. 1)
                                                                                          NVH Workshop
Campbell Diagram
• Campbell Diagram simultaneously represents excitations and
vehicle system modes on a RPM vs. Frequency axis system
• A more convenient way (compared to mode management
charts) of understanding the interaction among modes and
excitation and mapping onto ERPM and vehicle speed




                                                    Steering Column
                              Global Body Torsion
                                                                      3rd Harmonic




                                                    Vertical
       Engine RPM




                                                                      2nd Harmonic
                    600 RPM



                                                                      1st Harmonic




                                                                      Frequency (Hz)
                              30Hz 32Hz
                                                                                       NVH Workshop
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
Mount at Nodal Point
 First Bending: Nodal Point Mounting Example




            Front input forces                         Rear input forces


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

                                                               NVH Workshop
Mount at Nodal Point
        Nodal Point Mounting Examples




        Passenger sits at
        node point for First
        Torsion.




                                                          Rear View
              Mount system is placed to support             Engine
              Powertrain at the Nodal Locations of
              the First order Bending Mode.
                 3             4              5
    2
1



    6                          7
                                                     Transmission Mount of a
                                                     3 Mount N-S P/T is near
                                                     the Torsion Node.
                                                                     NVH Workshop
8 Degree of Freedom Vehicle NVH Model
    Bending Node Alignment with Wheel Centers
                Redistribute Beam Masses
                 to move Node Points to
            8
                 Align with points 2 and 4


                            3                4         5
            2
1




            6                                7




                                                 NVH Workshop
First Bending Nodal Point Alignment
                       Response at Mid-Car
           4.0E+00

                       Node Shifted
                       Base Model
  (m m /sec)




           3.0E+00




           2.0E+00
Velocity




           1.0E+00




           0.0E+00

                 5.0         10.0       15.0     20.0
                             Frequency Hz
                                               NVH Workshop
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
Dynamic Absorber Concept
                                  Auxiliary Spring-Mass-Damper
                                                                          m = M / 10
                  4.0
                             x                                    x
Displacement mm


                  3.5
                                 SDOF                                   2DOF
                  3.0
                                  M                                      M
                  2.5
                        YO                                   YO
                  2.0
                  1.5

                  1.0
                  0.5

                  0.0
                    0.0            0.5         1.0                1.5            2.0
                                          Frequency Hz
                                                                               NVH Workshop
Powertrain Example of Dynamic Absorber

  Anti-Node Identified
  at end of Powerplant




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

                                                                    √ k/m
                                           Tuning Frequency =
   [Figure Courtesy of DaimlerChrysler Corporation]
                                                                               NVH Workshop
Baseline Sound Level
     Baseline Sound Level
    63 Hz Dynamic Absorber
     63 Hz Dynamic Absorber
    63 + 110 Hz Absorbers
     63 + 110 Hz Absorbers




[Figure Courtesy of DaimlerChrysler Corporation]
                                                   NVH Workshop
Vibration and Noise Attenuation Methods
 Main Attenuation Strategies
    • Reduce the Input Forces from the Source
    • Provide Isolation
    • Mode Management
    • Nodal Point Mounting
    • Dynamic Absorbers
The above attenuation concepts have been demonstrated using
simulation model results. A similar demonstration using
physical hardware would have required more cost and time.
Hardware testing in low frequency range could be used as a final
verification tool
                                                          NVH Workshop
NVH Workshop Topic Outline
 • Introduction
 • Fundamentals in NVH
 • Automotive NVH Load Conditions
 • Low Frequency Basics
 • Live Noise Attenuation Demo
 • Mid Frequency Basics Greg Goetchius
 • Utilization of Simulation Models
 • Closing Remarks
                                      NVH Workshop
NVH Workshop Topic Outline
 • Introduction
 • Fundamentals in NVH
 • Automotive NVH Load Conditions
 • Low Frequency Basics
 • Live Noise Attenuation Demo
 • Mid Frequency Basics
                          Alan Duncan
 • Utilization of Simulation Models
 • Closing Remarks

                                      NVH Workshop
Mid Frequency NVH Fundamentals


                 RECEIVER




          PATH

                            SOURCE
           This looks familiar!
Frequency Range of Interest has changed to
            150 Hz to 500 Hz
                                         NVH Workshop
Typical NVH Pathways to the Passenger
              Noise Paths are the
              Noise Paths are the
                  same as Low
                 same as Low
               Frequency Region
              Frequency Region




                 PATHS
                  FOR
               STRUCTURE
                 BORNE
                  NVH



                                    NVH Workshop
Mid-Frequency Analysis Character
                Structure Borne Noise
                                                         Airborne Noise

                                                        • Mode separation is less practical in
                                                        • Mode separation is less practical in
                              High modal density          mid-frequency
                                                          mid-frequency
                                and coupling in
                               source, path and
                                                        • New Strategy is Effective Isolation:
                                                        • New Strategy is Effective Isolation:
                                   receiver
                                                          Achieved by reducing energy transfer
                                                          Achieved by reducing energy transfer
                                                          locally between source and receiver at
                                                          locally between source and receiver at
                                                          key paths.
                                                          key paths.
Response




                                                          Absorption
                                                              +
                              Local Stiffness               Mass
                                     +                        +
                                Damping                    Sealing
           Global Stiffness
                                                             “High”
               “Low”                “Mid”
                                                           Log Frequency
                         ~ 150 Hz           ~ 1000 Hz                                ~ 10,000 Hz


                                                                                         NVH Workshop
Mid-Frequency Analysis Character
• Important characteristics of mid frequency analysis


               Effective Isolation

                        &

           Identifying Key Noise Paths




                                                NVH Workshop
Mid-Frequency Analysis Character

• Important characteristics of mid frequency analysis


                Effective Isolation

                        &

          Identifying Key Noise Paths




                                                NVH Workshop
Isolation Effectiveness
                                 Classical SDOF: Rigid
                                 Source and Receiver
                                                        “Real Structure”
                                                        Flexible (Mobile)
1.0                                                     Source and
                                                        Receiver
 Transmissibility Ratio




                                        Isolation Region        f/fn
                                         Isolation Region

                               1.0   1.414                  10.0
Effectiveness deviates from the classical development as resonances
occur in the receiver structure and in the foundation of the source.

                                                                   NVH Workshop
Mobility
• Mobility is the ratio of velocity response at the excitation point on structure
  where point force is applied

                                        Velocity
                         Mobility =
                                        Force


• Mobility, related to Admittance, characterizes Dynamic Stiffness of
  the structure at load application point

                                 Frequency * Displacement
                   Mobility =
                                            Force

                                      Frequency
                            =
                                  Dynamic Stiffness




                                                                          NVH Workshop
Isolation
• The isolation effectiveness can be quantified by a theoretical model based on
 2003, 2005 ERRATA
analysis of mobilities of receiver, isolator and source

• Transmissibility ratio is used to objectively define measure of isolation
                          Force from source without isolator
                   TR =
                          Force from source with isolator

                                                               V Receiver          Vr
      V   Receiver         Vr
                                                                       Fr
                                                   V
                 Fr                          =
                                          Fs
                                               Yi + Y r + Y s          F ir
                                                                                   V ir
                Fs
                                                            Isolator
                            Vs                                                     V is
          Source
                                                                       F is
               V
                                                                       Fs
       F s=
                                                                                    Vs
              Yr +Ys
                                                                  Source

                                                                              NVH Workshop
Isolation
• 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
                          Force from source with isolator
                   TR =
                          Force from source without isolator

                                                               V Receiver          Vr
      V   Receiver         Vr
                                                                       Fr
                                                   V
                 Fr                          =
                                          Fs
                                               Yi + Y r + Y s          F ir
                                                                                   V ir
                Fs
                                                            Isolator
                            Vs                                                     V is
          Source
                                                                       F is
               V
                                                                       Fs
       F s=
                                                                                    Vs
              Yr +Ys
                                                                  Source

                                                                              NVH Workshop
Isolation
                                                   Receiver
       Force from source with an isolator                        Vm
TR =
       Force from source without an isolator
                                                          Fm
                                                          F im
TR = ⏐ ( Y r + Y s ) / ( Y i + Y r + Y s ) ⏐                     V im
                                               Isolator          V if
Y r : Receiver mobility
                                                          F if
Y i : Isolator mobility
Y s : Source mobility                                     Ff
                                                                 Vf
                                                    Source



  • For Effective Isolation (Low TR) the Isolator
  Mobility must exceed the sum of the Source and
  Receiver Mobilities.
                                                                  NVH Workshop
Mid-Frequency Analysis Character
• Important characteristics of mid frequency analysis


                Effective Isolation

                        &

          Identifying Key Noise Paths




                                                NVH Workshop
Identifying Key NVH Paths
Key NVH paths are identified by Transfer Path Analysis (TPA)


                        Tactile       Acoustic
                        Tactile       Acoustic
                       Transfer       Transfer
                       Transfer        Transfer


                            Fi                          Break the system at the
                                                        points where the forces
                                                        enter the body (Receiver)

     Operating loads                                 Operating loads

• TPA is a technique to perform phased summation of partial responses
through all NVH 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
paths

                                                                         NVH Workshop
Noise Path Analysis
                                   Acoustic Transfer (P/F)i
                                    Acoustic Transfer (P/F)i




                       Fi                        Operating loads create
                                                 Forces (Fi) into body at
                                                 All noise paths



• Total Acoustic Response is summation of partial responses
over all noise paths
          Pt = Σ paths [Pi ] = Σ paths [ (P/F) i * Fi ]

 Pi     : Partial contribution of path i due to operating force
 (P/F) i : Acoustic Transfer Function of the ith Path

                                                                  NVH Workshop
Transfer Path Analysis
• 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
                                                     Total
                       ( contributors + )
Front
                                                     Noise
           Front
Upper      Shock
Control    Absorber        Rear

                                                    (             )
                                       Rear
Arm                        Shock                        All
                                       Upper
              …            Absorber    Arm
                                                        Paths

                                           ( reducers - )
          Front                   Front
          Stabilizer              Spring
                                                            NVH Workshop
Designing for Mid Frequency
• Important characteristics of mid frequency analysis


                Effective Isolation

                        &

           Identifying Key Noise Paths




                                                NVH Workshop
Designing for Mid Frequency

When designing a new vehicle, the first phase is to
satisfy generic targets for key parameters along all
noise paths in order to achieve effective isolation.



         What are these generic targets and
         What are these generic targets and
                key parameters ?
                 key parameters ?




                                                NVH Workshop
Generic Noise Path Targets
                                                        Acoustic Transfer (P/F)i
                                                         Acoustic Transfer (P/F)i
                                           P/V
                                                      P/F
                                   V/F
                                 (Kbody)

                                      F
                                                 ΔX
                                 KBsng


                                 Ksource

Operating loads                                                         Operating loads



     Transmissibility along a given noise path (TRi)
                      TR = ⏐ ( Y r + Y s ) / ( Y i + Y r + Y s ) ⏐
                                     1                      1
                              1               1      1
                   TR = ⏐ (             ) /(                   )⏐
                                  +               +      +
                                     K source K body K iso. K source
                              K body

                                                                                          NVH Workshop
Generic Noise Path Targets
                              1                      1
                       1               1      1
              TR = ⏐ (           ) /(                   )⏐
                           +               +      +
                       K body K source K body K iso. K source
           K source
  K body   K iso
                            1.0             5.0          Infinite
  K iso


       1.0                  0.67           0.54           0.50

       5.0                  0.54           0.28           0.17

       Infinite             0.50           0.17           0.00

As a generic target, body to bushing stiffness ratio
of at least 5.0 and very high source to bushing
stiffness ratio (~ infinite) is desired to achieve
“good” TR of 0.17
                                                                    NVH Workshop
Relationship of Body-to-Bushing Stiffness
         Ratio to Transmissibility
                      Series2
For an infinite source
                                            TR = ⏐ ( K bsg ) / ( K bsg + K body ) ⏐
  0.50.5
  Transmissibility Ratio




  0.40.4
  0.30.3                                                                    Target Min. = 5
                                                                             gives TR = .17
  0.20.2
  0.10.1
                           00.01        2     3         4       5       6       7   8   9        10
                              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
                                                  Stiffness Ratio; K body / K bsg
                              K body.
                              K bsg
                                                                                              NVH Workshop
Generic Noise Path Targets
                                Acoustic Transfer (P/F)i
                                 Acoustic Transfer (P/F)i




                    Fi                        Operating loads create
                                              Forces (Fi) into body at
                                              All noise paths

Operating loads                               Operating loads



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

      (P/F) Acoustic Sensitivity
      (V/F) Structural Point Mobility (Receiver)
                                                                   NVH Workshop
Generic Noise Path Targets
For example, for Acoustic Response Pt

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

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

• Typical generic targets,

  - Acoustic Sensitivity (P/F) in 50 - 60 dBL/N range

  - Structural Mobility (V/F) less than 0.2 - 0.3 mm/sec/N
                                                            NVH Workshop
Generic Noise Path Targets
 K body                          K source
           >= 5.0                           ~ infinite
 K iso                           K iso


           Acoustic        50 - 60
                       <
           Sensitivity     dBL/N



          Structural
                     < .2 to .3 mm/sec/N
          Mobility


How does one achieve these generic targets ?
                                                    NVH Workshop
Generic Noise Path Targets
How does one achieve

    K body                   Structural
                                        < .2 - .3
             >= 5.0
                             Mobility
    K iso

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


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


                                                    NVH Workshop
Generic Noise Path Targets
How does one achieve
                            K source
                                       ~ infinite
                            K iso

• Increase source side attachment stiffness (Ksource)

• Reduce attachment isolator stiffness (Kiso)

In Automotive Structures, it is realistic to expect
that the Source to isolator stiffness ratio is high
since Source usually corresponds to a stiff
structure (such as powertrain or axle).
                                                    NVH Workshop
Generic Noise Path Targets
How does one achieve
                         Acoustic        50 - 60
                                     <
                         Sensitivity     dBL/N


• At a given frequency, Acoustic Sensitivity (P/F) is

                         Frequency
          P/F = (P/V) X
                        Body stiffness

• Based on the above equation, increasing body
stiffness usually reduces Acoustic Sensitivity.

                                                   NVH Workshop
Generic Noise Path Targets
  How does one achieve:      Acoustic        50 - 60
                                         <
                             Sensitivity     dBL/N


• There are situations when increasing body
stiffness does not reduce Acoustic Sensitivity


• In such cases, the Acoustic Sensitivity can be
reduced by reducing the overall body panel velocity
through application of damping treatments


                                                 NVH Workshop
Application of Damping Treatment
Effect on sound response of damping treatment
 applied on key identified contributing panels


                          5.0 dBA

                                                         12.5dBA
                                                         Reduction
              SPL (dBA)




                                                            Floor with
                                                             damping
                                                            treatment

                                                         Floor without
                                                       damping treatment


                                      Frequency (Hz)

  [Figure Courtesy of DaimlerChrysler Corporation]
                                                                           NVH Workshop
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 for
 Is it really necessary to achieve generic targets for
                   all noise paths ?
                   all noise paths ?



                  Probably Not !!
                  Probably Not !!


                                                 NVH Workshop
Designing for Mid Frequency
 Driver’s Ear Noise                                              Improved Noise
                                         Original Noise Path
                                                                Path Contributions
                                            Contributions

                             Transfer
                             Path
                             Analysis




Vehicle Level Response                  Some noise paths are   Impose more strict
                                        more dominant than     requirements for these
                                        others                 dominant paths and
                                                               relax requirements for
             Driver’s Ear Noise
                                                               other paths to achieve
                    Reduced Noise
                                                               more “rebalanced”
       Original Noise
                                                               noise




    Vehicle Response to Meet NVH Targets

                                                                            NVH Workshop
Mid Frequency NVH Goal Achievement Process
              Initial Sub-System Targets

  Rebalance
  Trade-Off
                    Evaluate Sub-System
                        Performance


        Re-Design                     Yes
                                       or
       Sub-System
                                    Time Out
                          Meet
                       Sub-System              Evaluate Vehicle Goals
                         Goals?
              No


                                                         Yes
                                 Meet
                                                          or
                                Vehicle
                                                       Time Out
                                Goals?
                       No
                                                              NVH Workshop
Designing for Mid Frequency
Principles to follow

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

• As the design is firmed out, shift focus to key
contributing 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 if Sub-System goal achievement is not possible
due to architectural constraints.


                                                            NVH Workshop
Mid Frequency NVH Improvement
(Sports Utility Vehicle Example)




                                             Full Vehicle Model
                                             Full Vehicle Model

 [Figure Courtesy of DaimlerChrysler Corporation]
                                                                  NVH Workshop
Mid Frequency NVH Improvement
(Sports Utility Vehicle Example)




           Powertrain/Axle/Suspension Model
           Powertrain/Axle/Suspension Model
   [Figure Courtesy of DaimlerChrysler Corporation]
                                                      NVH Workshop
Mid Frequency NVH Improvement
  (Sports Utility Vehicle Example)




                   Acoustic Cavity Model
                   Acoustic Cavity Model
 [Figure Courtesy of DaimlerChrysler Corporation]
                                                    NVH Workshop
Mid-Frequency NVH improvement
                         Axle Whine Example : 300-500 Hz
Front and Rear Axle
Gear-Pinion Mesh                                              Trimmed Body
Transmission Error

                    θ
                                         Chassis




    θ

                                                           Interior Acoustic Cavity

  SOURCE ------------- PATH ---------------- RECEIVER
        [Figure Courtesy of DaimlerChrysler Corporation]
                                                                               NVH Workshop
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
                                FR + RR Excitation


                                                                       Target Level
            SPL(dBA)




                                                              RR Excitation Only
                                                              (Dominates Total Content)


                                             FR Excitation Only


        10dBA




                                         Sound Response with Varying Excitation

                                                                  Frequency (Hz)
                       300 Hz                                                         500 Hz
                                                     400 Hz
     [Figure Courtesy of DaimlerChrysler Corporation]
                                                                                               NVH Workshop
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 a 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) had
        the most significant effect on Driver’s SPL response
                                                                    NVH Workshop
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
Axle Whine Example
• Is it high forces or high acoustic sensitivity at shock to
         body attachment ?
                                       Pt = Σ paths [Pi ] = Σ paths [ Fi * (P/F) i ]
    Acoustic Sensitivity (dBL/N)




                                           5dBL/N




                                                                                  Acoustic sensitivity was
                                                                                  Acoustic sensitivity was
                                                                                  better than generic target
                                                                                  better than generic target



 • 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]
                                                                                                      NVH Workshop
Axle Whine Example
 Solution
• Soften shock vertical bushings by 65%

• To balance this against Ride and
Handling requirement 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
  effectivenessDaimlerChrysler Corporation]
                         of shock bushing
     [Figure Courtesy of
                                              NVH Workshop
Axle Whine Example
Response Improvement due to proposed solution




  [Figure Courtesy of DaimlerChrysler Corporation]
                                                     NVH Workshop
Axle Whine Example
 How Robust is the proposed solution ?
  • Parameter variations such as weld deletion in “new
  bracket” and gage changes were considered to study
  robustness of solution
                                                                            Deterministic Response
                                                                                                               Baseline Model
                                                                            of Baseline Model
                                                                  10 dBA
                                                                                                               Scatter
- Response scatter of model
  with proposal does not
  overlap baseline model                 Driver’s Ear SPL (dBA)

  response scatter indicating
  a robust solution

                                                                            Deterministic Response
- The problem peak has now                                                  of Model with proposal
                                                                                                         Scatter of model
  shifted to a new vehicle
                                                                                                         With proposals
  speed of 50.7 mph which
  requires a new contribution
  analysis                                                                                                                  54.4
                                                                                                               53.2
                                                        48.2         49.5          50.7         51.9
                                                                                   Vehicle Speed (mph)
       [Figure Courtesy of DaimlerChrysler Corporation]
                                                                                                                      NVH Workshop
Final Remarks on Mid Frequency Analysis
• Effective isolation at dominant noise paths is critical

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

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

• It is important to balance NVH requirements against
  other functionalities (Ride and Handling, Impact)

• It is important to understand the robustness of
  design recommendations
                                                    NVH Workshop
NVH Workshop Topic Outline
 • Introduction
 • Fundamentals in NVH
 • Automotive NVH Load Conditions
 • Low Frequency Basics
 • Live Noise Attenuation Demo
 • Mid Frequency Basics
 • Utilization of Simulation Models
 • Closing Remarks

                                      NVH Workshop
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 know my model is good?
•   ANS. We require correlation work to know the simulation compares
    to test values to some degree.


•   Q. How do I make design decisions before hardware is available?
•   ANS. Correlation must be performed on existing hardware to
    establish modeling methods and correlation criteria 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.

                                                                   NVH Workshop
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. Let’s EXPLORE it !!!!




                                                                    NVH Workshop
Discussion of Product Variability

Topics

  • Kompella and Bernhard Observations

  • Freyman NVH Scatter Results

  • Model Confidence Criteria

  • Conclusions

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




                                  Frequency ( Hz )

                                                                       NVH Workshop
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




                     Sound Pressure [ dB( lin )]



                                                             Frequency ( Hz )
                    Phase [o]




                                                             Frequency ( Hz )
                                      ( Ref. 9 ) ©2000 Society of Automotive Engineers, Inc.
                                                                                               NVH Workshop
Reference Baseline Confidence Criterion
     For Operating Response Simulations

     Test Variation Band
     10. dB; 50-150 Hz
     20. dB; 150-500 Hz
                                                         FUDGE
     REF. 8
                                                        FACTORS



                                        Simulation Prediction

                                           Confidence Criterion:
                                           Simulation result must
                    Test Upper Bound       fall within the band of
                    Test Band Average      test variation.
                    Test Lower Bound




                                                                     NVH Workshop
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
                                FR + RR Excitation


                                                                       Target Level
            SPL(dBA)




                                                              RR Excitation Only
                                                              (Dominates Total Content)


                                             FR Excitation Only


        10dBA




                                         Sound Response with Varying Excitation

                                                                  Frequency (Hz)
                       300 Hz                                                         500 Hz
                                                     400 Hz
     [Figure Courtesy of DaimlerChrysler Corporation]
                                                                                               NVH Workshop
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
Competing Vehicle Design Disciplines


        Ride           Impact
        and       CrashWorthiness
      Handling




                    Durability
        NVH



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




  Revealed here today !     NVH Workshop
The Fundamental Secret of Structure
       Borne NVH Performance
    To Minimize Structure Borne NVH, connect
  between Source and Receiver Sub-Systems at
   Locations where the Motion is at a Minimum.


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
                                                 NVH Workshop
The Fundamental Secret of Structure
      Borne NVH Performance
  To Minimize Structure Borne NVH, connect
between Source and Receiver Sub-Systems at
 Locations where the Motion is at a Minimum.

Ist Corollary
        First Best Principle for NVH
       Improvement is Minimization /
   Understanding of the Source Excitation.

2nd Corollary
   Effectively Isolate the remaining source
       from the receivers at Key paths

                                               NVH Workshop
The Fundamental Secret of Structure
         Borne NVH Performance
      To Minimize Structure Borne NVH, connect
    between Source and Receiver Sub-Systems at
     Locations where the Motion is at a Minimum.
                    That’s All Folks !
 Meets Conditions of the Attending the
              Thank You for Attenuations Strategies
               2007 Structure Borne NVH Workshop
            • Minimize the Source Load
Your Presenters today were:
            • Manage Mode Placement
                  Alan Duncan, Material Sciences Corp.
            • Provide Isolation
                  Greg Goetchius, Material
            • Mount at Nodal PointsSciences Corp.
            • Provide Dynamic Absorber
                  Sachin Gogate, DaimlerChrysler Corp.
     Visit: www.AutoAnalytics.com/papers.html (or www.sae.org)
            •Reduce the 2007 Structure Borne NVH Mobility
                         Source - Receiver Workshop
             to download
                                                            NVH Workshop
The Fundamental Secret of Structure
         Borne NVH Performance
      To Minimize Structure Borne NVH, connect
    between Source and Receiver Sub-Systems at
     Locations where the Motion is at a Minimum.
                    That’s All Folks !
 Meets Conditions of the Attending the
              Thank You for Attenuations Strategies
               2007 Structure Borne NVH Workshop
            • Minimize the Source Load
Your Presenters today were:
            • Manage Mode Placement
                  Alan Duncan, Material Sciences Corp.
            • Provide Isolation
                  Greg Goetchius, Material
            • Mount at Nodal PointsSciences Corp.
            • Provide Dynamic Absorber
                  Sachin Gogate, DaimlerChrysler Corp.
     Visit: www.AutoAnalytics.com/papers.html (or www.sae.org)
            •Reduce the 2007 Structure Borne NVH Mobility
                         Source - Receiver Workshop
             to download
                                                            NVH Workshop

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2007 SAE Structure Borne NVH Workshop

  • 1. Structure Borne NVH Basics SAE 2007 NVH Conference; St. Charles, Illinois Wednesday Evening, May 16, 2007 Presenters: A. E. Duncan Material Sciences Corp. G. Goetchius Material Sciences Corp. S. Gogate DaimlerChrysler Corp. Sponsored By: SAE Noise and Vibration Committee NVH Workshop
  • 2. NVH Workshop Topic Outline • Introduction • Fundamentals in NVH • Automotive NVH Load Conditions • Low Frequency Basics • Live Noise Attenuation Demo • Mid Frequency Basics • Utilization of Simulation Models • Closing Remarks NVH Workshop
  • 3. The Fundamental Secret of The Fundamental Secret of Structure Borne Structure Borne NVH Performance NVH Performance Revealed here today ! NVH Workshop
  • 4. Structure Borne NVH References 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 Workshop - on Internet Available online at www.AutoAnalytics.com NVH Workshop
  • 5. Structure Borne NVH References Supplemental References 5. 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 NVH Workshop
  • 6. NVH Workshop Topic Outline • Introduction • Fundamentals in NVH • Automotive NVH Load Conditions • Low Frequency Basics NVH Workshop
  • 7. Competing Vehicle Design Disciplines Ride Impact and CrashWorthiness Handling Durability NVH NVH Workshop
  • 8. NVH Workshop Topic Outline • Introduction • Fundamentals in NVH • NVH Load Conditions • Low Frequency Basics NVH Workshop
  • 9. Fundamentals in NVH • What is N, V and H? • Time and Frequency Relation • Subjective to Objective Conversions • Single Degree of Vibration and Vibration Isolation Principle • Automotive NVH Frequency Range NVH Workshop
  • 10. What is N, V and H? (in Automotive Context) Based on SAEJ670e Standard (Vehicle Dynamics Committee July 1952) Noise : Vibration perceived audibly and characterized as sensations of pressure by the ear Vibration : Perceived tactually (at vehicle occupant interface points of steering column, seats, etc. Harshness : Related to transient nature of vibration and noise associated with abrupt transition in vehicle motion. It could be perceived both tactually and audibly Together, they define the measure of vehicle NVH Quality NVH Workshop
  • 11. Time and Frequency Relation Acoustic Acoustic Tactile or Acoustic Response Tactile Tactile Tactile Tactile Time (Sec) Operating Operating loads Operating loads loads • Responses perceived in vehicle vary with time as vehicle operates under loads • Responses are usually steady state and periodic in nature • It is convenient and intuitive to consider responses in frequency domain while preserving the signal content NVH Workshop
  • 12. Time and Frequency Relation • Conversion to frequency domain lends to formulation of principles for addressing structure borne NVH Frequency (Hz) 40 Hz (Colum n Amplitude Mode) 25 H (Vehicle z Flexible Body M o d e) n 15 Hz io (Suspe at nsion m Mode) X(f) m Overall Response, X(t) Su ed 5 Hz as (Vehicle Rigid Ph Body M o d e) Time (Sec) Time NVH Workshop
  • 13. Time and Frequency Relation • Mathematically Speaking ……. X ( f ) = Fourier Transform of X ( t ) NVH Workshop
  • 14. Time and Frequency Relation • Responses can be obtained in frequency domain either through Fourier Transform of time domain signal or directly in frequency domain Test World X ( t ) Fourier X ( f ) F(t) Vehicle System Transform Fourier Transform F(f) X(f) Vehicle System Common in Simulation World NVH Workshop
  • 15. NVH Model of Unibody Passenger Car Symbolic Outline 8 4 3 5 1 2 7 6 Tires 350.3 N/mm Total 2178.2 Kg (4800LBS) KF 43.8 N/mm Mass Sprung 1996.7 Kg KR 63.1 N /mm Unsprung 181.5 Kg (8.33% of Total) Beam mass lumped on Powertrain 181.5 Kg grids like a beam M2,3,4 =2 * M1,5 From Reference 6 NVH Workshop
  • 16. Excitation Bum p Profile 20.0 Profile Profile Height (m m ) 15.0 10.0 5.0 0.0 400 On to 100,380 0 100 200 300 500 Distance (mm) NVH Workshop
  • 17. Pitch at Mid-Car DOF3 1.0E-04 8.0E-05 R o ta tio n - R a d ia n s Base Model 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 3 Time (sec.) NVH Workshop
  • 18. Pitch Response - Baseline Model 1.E-04 Base Model R o tat io n R a d ian s 1.E-05 1.E-06 1.E-07 1.E-08 0.0 5.0 10.0 15.0 20.0 Frequency Hz NVH Workshop
  • 19. Transform Input Force to F(f) FFT of the Input Bump 1.E-01 Bump FFT 1.E-02 Amplitude mm 1.E-03 20 Hz Amplitude is Approximately @ 45 MPH 1.E-04 Constant over the Frequency Range 1.E-05 1.E-06 Constant Displacement 0.E+00 4.E-03 8.E-03 1.E-02 2.E-02 2.E-02 Cycles / mm 20.0 Hz 0.0 NVH Workshop
  • 20. P itc h a t M id -C a r D O F 3 1 .0 E-0 4 RotationRadians Tim e D o m a in F F T 1 .0 E-0 5 F F T o f In p u t 1 .0 E-0 6 1 .0 E-0 7 1 .0 E-0 8 0 5 10 15 20 F re q u e n c y Hz NVH Workshop
  • 21. Subjective to Objective Conversions Subjective NVH Ratings are typically based on a 10 Point Scale resulting from Ride Testing Receiver Sensitivity is a Key Consideration A 2 ≈ 1/2 A 1 Represents 1.0 Rating Change TACTILE: 50% reduction in motion SOUND : 6.dB reduction in sound pressure level ( long standing rule of thumb ) NVH Workshop
  • 22. Single Degree of Freedom Vibration APPLIED FORCE F = FO sin 2 π f t √ f 1 + ( 2 d fn ) 2 TR = FT / F = f ( 1- f 2 ) 2 + ( 2 d f ) 2 2 m fn n Transmitted Force c k d = fraction of critical damping FT fn = natural frequency √(k/m) f = operating frequency NVH Workshop
  • 23. Vibration Isolation Principle 4 0.1 APPLIED FORCE Transmissibility Ratio 0.15 F = FO sin 2 π f t 3 TR = FT / F m 0.25 c k FT 2 Transmitted 0.375 Force 0.5 1.0 1 Isolation Region Isolation Region 0 1.414 0 1 2 3 4 5 Frequency Ratio (f / fn) NVH Workshop
  • 24. Isolation from an Applied Force Excitation Force Coming from Engine F0 Transmissibility Force Ratio is FT/F0 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 FT must be below 16.6 Hz. Support Forces Transmitted to Body NVH Workshop
  • 25. Automotive NVH Frequency Range Structure Borne Noise Airborne Noise Response Absorption + Local Stiffness Mass + + Damping Sealing Global Stiffness “High” “Low” “Mid” ~ 150 Hz ~ 1000 Hz ~ 10,000 Hz Log Frequency NVH Workshop
  • 26. NVH Workshop Outline • Introduction • Fundamentals in NVH • NVH Load Conditions • Low Frequency Basics NVH Workshop
  • 27. Noise and Vibration Sources Suspension Powertrain Two Main Sources NVH Workshop
  • 28. Typical NVH Pathways to the Passenger PATHS FOR STRUCTURE BORNE NVH NVH Workshop
  • 29. Powertrain Induced NVH Workshop
  • 30. NVH Workshop Topic Outline • Introduction • Fundamentals in NVH • NVH Load Conditions • Low Frequency Basics NVH Workshop
  • 31. Low Frequency NVH Fundamentals RECEIVER PATH SOURCE NVH Workshop
  • 32. 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
  • 33. 8 Degree of Freedom Vehicle NVH Model Engine Mass 8 Engine Flexible Beam for Body Isolator 3 4 5 2 1 Suspension Springs 6 7 Wheels Tires NVH Workshop
  • 34. 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
  • 35. 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
  • 36. 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
  • 37. 8 Degree of Freedom Vehicle NVH Model Force Applied to Powertrain Assembly Feng 8 3 4 5 2 1 6 7 Forces at Powertrain could represent a First Order Rotating Imbalance NVH Workshop
  • 38. Engine Isolation Example Response at M id Car 1.0000 15.9 Hz F~A Constant Force Load; 8.5 Hz Velocity (mm/sec) 0.1000 7.0 Hz 0.0100 0.0010 700 Min. RPM First Order Unbalance Operation Range of Interest 0.0001 5.0 10.0 15.0 20.0 Frequency Hz NVH Workshop
  • 39. Concepts for Increased Isolation “Double” isolation is the typical strategy for further improving isolation of a given vehicle design. Second Level of Isolation is at Subframe to Body Mount Subframe is Intermediate Structure Suspension Bushing is first level NVH Workshop
  • 40. 8 Degree of Freedom Vehicle NVH Model Removed Double Isolation Effect 8 3 4 5 2 1 Wheel Mass 6 7 Removed NVH Workshop
  • 41. Double Isolation Example Vertical Response at DOF3 6.0E+00 Base Model 5.0E+00 (mm/sec) Without Double_ISO 4.0E+00 3.0E+00 Velocity 1.414*fn 2.0E+00 1.0E+00 0.0E+00 5.0 10.0 15.0 20.0 Frequency Hz NVH Workshop
  • 42. 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
  • 43. Mode Management • Provide Separation between: • Critical modes of Sub-systems in Vehicle (e.g. Body, Suspension, Powertrain, etc.) • Critical modes of Sub-systems and Excitation NVH Workshop
  • 44. Need for Mode Management Beam Stiffness which represents the body stiffness was adjusted to align Bending Frequency with Suspension Modes and then progressively separated back to Baseline. Baseline Bending 18.2 Hz Baseline Suspension 10.6 Hz 8 Flexible Beam for Body 3 4 5 2 1 Suspension Springs 6 7 Wheels Tires NVH Workshop
  • 45. 8 DOF Mode Separation Example Response at Mid Car 18.2 Hz Bending 13.Hz Bending 100.00 10.6 Bending Prog re “veh ssive re d icle” bend uction in 10.6 Hz ing m the Velocity (mm/sec) ode 13.0 Hz 10.00 18.2 Hz 1.00 Suspension Mode 0.10 5 10 15 20 Frequency Hz NVH Workshop
  • 46. Mode Management Chart EXCITATION SOURCES Inherent Excitations (General Road Spectrum, Reciprocating Unbalance, Gas Torque, etc.) Process Variation Excitations (Engine, Driveline, Accessory, Wheel/Tire Unbalances) 0 5 10 15 20 25 30 35 40 45 50 Hz First Order Wheel/Tire Unbalance V8 Idle Hot - Cold CHASSIS/POWERTRAIN MODES Suspension Hop and Tramp Modes Ride Modes Suspension Longitudinal Modes Powertrain Modes Exhaust Modes 0 5 10 15 20 25 30 35 40 45 50 Hz BODY/ACOUSTIC MODES Body First Torsion Steering Column First Vertical Bending Body First Bending First Acoustic Mode 0 5 10 15 20 25 30 35 40 45 50 Hz (See Ref. 1) NVH Workshop
  • 47. Campbell Diagram • Campbell Diagram simultaneously represents excitations and vehicle system modes on a RPM vs. Frequency axis system • A more convenient way (compared to mode management charts) of understanding the interaction among modes and excitation and mapping onto ERPM and vehicle speed Steering Column Global Body Torsion 3rd Harmonic Vertical Engine RPM 2nd Harmonic 600 RPM 1st Harmonic Frequency (Hz) 30Hz 32Hz NVH Workshop
  • 48. 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
  • 49. Mount at Nodal Point First Bending: Nodal Point Mounting Example Front input forces Rear input forces Locate wheel centers at node points of the first bending modeshape to prevent excitation coming from suspension input motion. NVH Workshop
  • 50. Mount at Nodal Point Nodal Point Mounting Examples Passenger sits at node point for First Torsion. Rear View Mount system is placed to support Engine Powertrain at the Nodal Locations of the First order Bending Mode. 3 4 5 2 1 6 7 Transmission Mount of a 3 Mount N-S P/T is near the Torsion Node. NVH Workshop
  • 51. 8 Degree of Freedom Vehicle NVH Model Bending Node Alignment with Wheel Centers Redistribute Beam Masses to move Node Points to 8 Align with points 2 and 4 3 4 5 2 1 6 7 NVH Workshop
  • 52. First Bending Nodal Point Alignment Response at Mid-Car 4.0E+00 Node Shifted Base Model (m m /sec) 3.0E+00 2.0E+00 Velocity 1.0E+00 0.0E+00 5.0 10.0 15.0 20.0 Frequency Hz NVH Workshop
  • 53. 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
  • 54. Dynamic Absorber Concept Auxiliary Spring-Mass-Damper m = M / 10 4.0 x x Displacement mm 3.5 SDOF 2DOF 3.0 M M 2.5 YO YO 2.0 1.5 1.0 0.5 0.0 0.0 0.5 1.0 1.5 2.0 Frequency Hz NVH Workshop
  • 55. Powertrain Example of Dynamic Absorber Anti-Node Identified at end of Powerplant c k m Absorber attached at anti-node acting in the Vertical and Lateral plane. √ k/m Tuning Frequency = [Figure Courtesy of DaimlerChrysler Corporation] NVH Workshop
  • 56. Baseline Sound Level Baseline Sound Level 63 Hz Dynamic Absorber 63 Hz Dynamic Absorber 63 + 110 Hz Absorbers 63 + 110 Hz Absorbers [Figure Courtesy of DaimlerChrysler Corporation] NVH Workshop
  • 57. Vibration and Noise Attenuation Methods Main Attenuation Strategies • Reduce the Input Forces from the Source • Provide Isolation • Mode Management • Nodal Point Mounting • Dynamic Absorbers The above attenuation concepts have been demonstrated using simulation model results. A similar demonstration using physical hardware would have required more cost and time. Hardware testing in low frequency range could be used as a final verification tool NVH Workshop
  • 58. NVH Workshop Topic Outline • Introduction • Fundamentals in NVH • Automotive NVH Load Conditions • Low Frequency Basics • Live Noise Attenuation Demo • Mid Frequency Basics Greg Goetchius • Utilization of Simulation Models • Closing Remarks NVH Workshop
  • 59. NVH Workshop Topic Outline • Introduction • Fundamentals in NVH • Automotive NVH Load Conditions • Low Frequency Basics • Live Noise Attenuation Demo • Mid Frequency Basics Alan Duncan • Utilization of Simulation Models • Closing Remarks NVH Workshop
  • 60. Mid Frequency NVH Fundamentals RECEIVER PATH SOURCE This looks familiar! Frequency Range of Interest has changed to 150 Hz to 500 Hz NVH Workshop
  • 61. Typical NVH Pathways to the Passenger Noise Paths are the Noise Paths are the same as Low same as Low Frequency Region Frequency Region PATHS FOR STRUCTURE BORNE NVH NVH Workshop
  • 62. Mid-Frequency Analysis Character Structure Borne Noise Airborne Noise • Mode separation is less practical in • Mode separation is less practical in High modal density mid-frequency mid-frequency and coupling in source, path and • New Strategy is Effective Isolation: • New Strategy is Effective Isolation: receiver Achieved by reducing energy transfer Achieved by reducing energy transfer locally between source and receiver at locally between source and receiver at key paths. key paths. Response Absorption + Local Stiffness Mass + + Damping Sealing Global Stiffness “High” “Low” “Mid” Log Frequency ~ 150 Hz ~ 1000 Hz ~ 10,000 Hz NVH Workshop
  • 63. Mid-Frequency Analysis Character • Important characteristics of mid frequency analysis Effective Isolation & Identifying Key Noise Paths NVH Workshop
  • 64. Mid-Frequency Analysis Character • Important characteristics of mid frequency analysis Effective Isolation & Identifying Key Noise Paths NVH Workshop
  • 65. Isolation Effectiveness Classical SDOF: Rigid Source and Receiver “Real Structure” Flexible (Mobile) 1.0 Source and Receiver Transmissibility Ratio Isolation Region f/fn Isolation Region 1.0 1.414 10.0 Effectiveness deviates from the classical development as resonances occur in the receiver structure and in the foundation of the source. NVH Workshop
  • 66. Mobility • Mobility is the ratio of velocity response at the excitation point on structure where point force is applied Velocity Mobility = Force • Mobility, related to Admittance, characterizes Dynamic Stiffness of the structure at load application point Frequency * Displacement Mobility = Force Frequency = Dynamic Stiffness NVH Workshop
  • 67. Isolation • The isolation effectiveness can be quantified by a theoretical model based on 2003, 2005 ERRATA analysis of mobilities of receiver, isolator and source • Transmissibility ratio is used to objectively define measure of isolation Force from source without isolator TR = Force from source with isolator V Receiver Vr V Receiver Vr Fr V Fr = Fs Yi + Y r + Y s F ir V ir Fs Isolator Vs V is Source F is V Fs F s= Vs Yr +Ys Source NVH Workshop
  • 68. Isolation • 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 Force from source with isolator TR = Force from source without isolator V Receiver Vr V Receiver Vr Fr V Fr = Fs Yi + Y r + Y s F ir V ir Fs Isolator Vs V is Source F is V Fs F s= Vs Yr +Ys Source NVH Workshop
  • 69. Isolation Receiver Force from source with an isolator Vm TR = Force from source without an isolator Fm F im TR = ⏐ ( Y r + Y s ) / ( Y i + Y r + Y s ) ⏐ V im Isolator V if Y r : Receiver mobility F if Y i : Isolator mobility Y s : Source mobility Ff Vf Source • For Effective Isolation (Low TR) the Isolator Mobility must exceed the sum of the Source and Receiver Mobilities. NVH Workshop
  • 70. Mid-Frequency Analysis Character • Important characteristics of mid frequency analysis Effective Isolation & Identifying Key Noise Paths NVH Workshop
  • 71. Identifying Key NVH Paths Key NVH paths are identified by Transfer Path Analysis (TPA) Tactile Acoustic Tactile Acoustic Transfer Transfer Transfer Transfer Fi Break the system at the points where the forces enter the body (Receiver) Operating loads Operating loads • TPA is a technique to perform phased summation of partial responses through all NVH 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 paths NVH Workshop
  • 72. Noise Path Analysis Acoustic Transfer (P/F)i Acoustic Transfer (P/F)i Fi Operating loads create Forces (Fi) into body at All noise paths • Total Acoustic Response is summation of partial responses over all noise paths Pt = Σ paths [Pi ] = Σ paths [ (P/F) i * Fi ] Pi : Partial contribution of path i due to operating force (P/F) i : Acoustic Transfer Function of the ith Path NVH Workshop
  • 73. Transfer Path Analysis • 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 Total ( contributors + ) Front Noise Front Upper Shock Control Absorber Rear ( ) Rear Arm Shock All Upper … Absorber Arm Paths ( reducers - ) Front Front Stabilizer Spring NVH Workshop
  • 74. Designing for Mid Frequency • Important characteristics of mid frequency analysis Effective Isolation & Identifying Key Noise Paths NVH Workshop
  • 75. Designing for Mid Frequency When designing a new vehicle, the first phase is to satisfy generic targets for key parameters along all noise paths in order to achieve effective isolation. What are these generic targets and What are these generic targets and key parameters ? key parameters ? NVH Workshop
  • 76. Generic Noise Path Targets Acoustic Transfer (P/F)i Acoustic Transfer (P/F)i P/V P/F V/F (Kbody) F ΔX KBsng Ksource Operating loads Operating loads Transmissibility along a given noise path (TRi) TR = ⏐ ( Y r + Y s ) / ( Y i + Y r + Y s ) ⏐ 1 1 1 1 1 TR = ⏐ ( ) /( )⏐ + + + K source K body K iso. K source K body NVH Workshop
  • 77. Generic Noise Path Targets 1 1 1 1 1 TR = ⏐ ( ) /( )⏐ + + + K body K source K body K iso. K source K source K body K iso 1.0 5.0 Infinite K iso 1.0 0.67 0.54 0.50 5.0 0.54 0.28 0.17 Infinite 0.50 0.17 0.00 As a generic target, body to bushing stiffness ratio of at least 5.0 and very high source to bushing stiffness ratio (~ infinite) is desired to achieve “good” TR of 0.17 NVH Workshop
  • 78. Relationship of Body-to-Bushing Stiffness Ratio to Transmissibility Series2 For an infinite source TR = ⏐ ( K bsg ) / ( K bsg + K body ) ⏐ 0.50.5 Transmissibility Ratio 0.40.4 0.30.3 Target Min. = 5 gives TR = .17 0.20.2 0.10.1 00.01 2 3 4 5 6 7 8 9 10 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 Stiffness Ratio; K body / K bsg K body. K bsg NVH Workshop
  • 79. Generic Noise Path Targets Acoustic Transfer (P/F)i Acoustic Transfer (P/F)i Fi Operating loads create Forces (Fi) into body at All noise paths Operating loads Operating loads Pt = Σ paths [Pi ] = Σ paths [ Fi * (P/F) i ] = Σ paths [ Fi * (P/V) i * (V/F)i] (P/F) Acoustic Sensitivity (V/F) Structural Point Mobility (Receiver) NVH Workshop
  • 80. Generic Noise Path Targets For example, for Acoustic Response Pt Pt = Σ paths [Pi ] = Σ paths [ Fi * (P/F) i ] = Σ paths [ Fi * (P/V) i * (V/F)i] • For a given force generated at a source attachment to body, lowering sensitivities (P/F) or (V/F) along a path would reduce total response • Typical generic targets, - Acoustic Sensitivity (P/F) in 50 - 60 dBL/N range - Structural Mobility (V/F) less than 0.2 - 0.3 mm/sec/N NVH Workshop
  • 81. Generic Noise Path Targets K body K source >= 5.0 ~ infinite K iso K iso Acoustic 50 - 60 < Sensitivity dBL/N Structural < .2 to .3 mm/sec/N Mobility How does one achieve these generic targets ? NVH Workshop
  • 82. Generic Noise Path Targets How does one achieve K body Structural < .2 - .3 >= 5.0 Mobility K iso • Increase local body attachment stiffness (Kbody) through structural modifications • Reduce attachment isolator stiffness (Kiso) while balancing the conflicting requirement of other functionalities such as Ride & Handling NVH Workshop
  • 83. Generic Noise Path Targets How does one achieve K source ~ infinite K iso • Increase source side attachment stiffness (Ksource) • Reduce attachment isolator stiffness (Kiso) In Automotive Structures, it is realistic to expect that the Source to isolator stiffness ratio is high since Source usually corresponds to a stiff structure (such as powertrain or axle). NVH Workshop
  • 84. Generic Noise Path Targets How does one achieve Acoustic 50 - 60 < Sensitivity dBL/N • At a given frequency, Acoustic Sensitivity (P/F) is Frequency P/F = (P/V) X Body stiffness • Based on the above equation, increasing body stiffness usually reduces Acoustic Sensitivity. NVH Workshop
  • 85. Generic Noise Path Targets How does one achieve: Acoustic 50 - 60 < Sensitivity dBL/N • There are situations when increasing body stiffness does not reduce Acoustic Sensitivity • In such cases, the Acoustic Sensitivity can be reduced by reducing the overall body panel velocity through application of damping treatments NVH Workshop
  • 86. Application of Damping Treatment Effect on sound response of damping treatment applied on key identified contributing panels 5.0 dBA 12.5dBA Reduction SPL (dBA) Floor with damping treatment Floor without damping treatment Frequency (Hz) [Figure Courtesy of DaimlerChrysler Corporation] NVH Workshop
  • 87. 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 for Is it really necessary to achieve generic targets for all noise paths ? all noise paths ? Probably Not !! Probably Not !! NVH Workshop
  • 88. Designing for Mid Frequency Driver’s Ear Noise Improved Noise Original Noise Path Path Contributions Contributions Transfer Path Analysis Vehicle Level Response Some noise paths are Impose more strict more dominant than requirements for these others dominant paths and relax requirements for Driver’s Ear Noise other paths to achieve Reduced Noise more “rebalanced” Original Noise noise Vehicle Response to Meet NVH Targets NVH Workshop
  • 89. Mid Frequency NVH Goal Achievement Process Initial Sub-System Targets Rebalance Trade-Off Evaluate Sub-System Performance Re-Design Yes or Sub-System Time Out Meet Sub-System Evaluate Vehicle Goals Goals? No Yes Meet or Vehicle Time Out Goals? No NVH Workshop
  • 90. Designing for Mid Frequency Principles to follow • At the beginning of program, work towards generic targets for all noise paths in order to achieve effective isolation. • As the design is firmed out, shift focus to key contributing 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 if Sub-System goal achievement is not possible due to architectural constraints. NVH Workshop
  • 91. Mid Frequency NVH Improvement (Sports Utility Vehicle Example) Full Vehicle Model Full Vehicle Model [Figure Courtesy of DaimlerChrysler Corporation] NVH Workshop
  • 92. Mid Frequency NVH Improvement (Sports Utility Vehicle Example) Powertrain/Axle/Suspension Model Powertrain/Axle/Suspension Model [Figure Courtesy of DaimlerChrysler Corporation] NVH Workshop
  • 93. Mid Frequency NVH Improvement (Sports Utility Vehicle Example) Acoustic Cavity Model Acoustic Cavity Model [Figure Courtesy of DaimlerChrysler Corporation] NVH Workshop
  • 94. Mid-Frequency NVH improvement Axle Whine Example : 300-500 Hz Front and Rear Axle Gear-Pinion Mesh Trimmed Body Transmission Error θ Chassis θ Interior Acoustic Cavity SOURCE ------------- PATH ---------------- RECEIVER [Figure Courtesy of DaimlerChrysler Corporation] NVH Workshop
  • 95. 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 FR + RR Excitation Target Level SPL(dBA) RR Excitation Only (Dominates Total Content) FR Excitation Only 10dBA Sound Response with Varying Excitation Frequency (Hz) 300 Hz 500 Hz 400 Hz [Figure Courtesy of DaimlerChrysler Corporation] NVH Workshop
  • 96. 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 a 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) had the most significant effect on Driver’s SPL response NVH Workshop
  • 97. 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
  • 98. Axle Whine Example • Is it high forces or high acoustic sensitivity at shock to body attachment ? Pt = Σ paths [Pi ] = Σ paths [ Fi * (P/F) i ] Acoustic Sensitivity (dBL/N) 5dBL/N Acoustic sensitivity was Acoustic sensitivity was better than generic target better than generic target • 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] NVH Workshop
  • 99. Axle Whine Example Solution • Soften shock vertical bushings by 65% • To balance this against Ride and Handling requirement 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 effectivenessDaimlerChrysler Corporation] of shock bushing [Figure Courtesy of NVH Workshop
  • 100. Axle Whine Example Response Improvement due to proposed solution [Figure Courtesy of DaimlerChrysler Corporation] NVH Workshop
  • 101. Axle Whine Example How Robust is the proposed solution ? • Parameter variations such as weld deletion in “new bracket” and gage changes were considered to study robustness of solution Deterministic Response Baseline Model of Baseline Model 10 dBA Scatter - Response scatter of model with proposal does not overlap baseline model Driver’s Ear SPL (dBA) response scatter indicating a robust solution Deterministic Response - The problem peak has now of Model with proposal Scatter of model shifted to a new vehicle With proposals speed of 50.7 mph which requires a new contribution analysis 54.4 53.2 48.2 49.5 50.7 51.9 Vehicle Speed (mph) [Figure Courtesy of DaimlerChrysler Corporation] NVH Workshop
  • 102. Final Remarks on Mid Frequency Analysis • Effective isolation at dominant noise paths is critical • Reduced mobilities at body & source and softened bushing are key for effective isolation • Other means of dealing high levels of source input (Tuned dampers, damping treatments, isolator placement at nodal locations) are also effective • It is important to balance NVH requirements against other functionalities (Ride and Handling, Impact) • It is important to understand the robustness of design recommendations NVH Workshop
  • 103. NVH Workshop Topic Outline • Introduction • Fundamentals in NVH • Automotive NVH Load Conditions • Low Frequency Basics • Live Noise Attenuation Demo • Mid Frequency Basics • Utilization of Simulation Models • Closing Remarks NVH Workshop
  • 104. 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 know my model is good? • ANS. We require correlation work to know the simulation compares to test values to some degree. • Q. How do I make design decisions before hardware is available? • ANS. Correlation must be performed on existing hardware to establish modeling methods and correlation criteria 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. NVH Workshop
  • 105. 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. Let’s EXPLORE it !!!! NVH Workshop
  • 106. Discussion of Product Variability Topics • Kompella and Bernhard Observations • Freyman NVH Scatter Results • Model Confidence Criteria • Conclusions NVH Workshop
  • 107. Magnitude of 99 Structure – borne FRF’s for the Rodeo’s for the driver microphone ( Ref. 8 ) ©1993 Society of Automotive Engineers, Inc. Mag. of FRF Frequency ( Hz ) NVH Workshop
  • 108. 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 Sound Pressure [ dB( lin )] Frequency ( Hz ) Phase [o] Frequency ( Hz ) ( Ref. 9 ) ©2000 Society of Automotive Engineers, Inc. NVH Workshop
  • 109. Reference Baseline Confidence Criterion For Operating Response Simulations Test Variation Band 10. dB; 50-150 Hz 20. dB; 150-500 Hz FUDGE REF. 8 FACTORS Simulation Prediction Confidence Criterion: Simulation result must Test Upper Bound fall within the band of Test Band Average test variation. Test Lower Bound NVH Workshop
  • 110. 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 FR + RR Excitation Target Level SPL(dBA) RR Excitation Only (Dominates Total Content) FR Excitation Only 10dBA Sound Response with Varying Excitation Frequency (Hz) 300 Hz 500 Hz 400 Hz [Figure Courtesy of DaimlerChrysler Corporation] NVH Workshop
  • 111. 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
  • 112. Competing Vehicle Design Disciplines Ride Impact and CrashWorthiness Handling Durability NVH NVH Workshop
  • 113. The Fundamental Secret of The Fundamental Secret of Structure Borne Structure Borne NVH Performance NVH Performance Revealed here today ! NVH Workshop
  • 114. The Fundamental Secret of Structure Borne NVH Performance To Minimize Structure Borne NVH, connect between Source and Receiver Sub-Systems at Locations where the Motion is at a Minimum. 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 NVH Workshop
  • 115. The Fundamental Secret of Structure Borne NVH Performance To Minimize Structure Borne NVH, connect between Source and Receiver Sub-Systems at Locations where the Motion is at a Minimum. Ist Corollary First Best Principle for NVH Improvement is Minimization / Understanding of the Source Excitation. 2nd Corollary Effectively Isolate the remaining source from the receivers at Key paths NVH Workshop
  • 116. The Fundamental Secret of Structure Borne NVH Performance To Minimize Structure Borne NVH, connect between Source and Receiver Sub-Systems at Locations where the Motion is at a Minimum. That’s All Folks ! Meets Conditions of the Attending the Thank You for Attenuations Strategies 2007 Structure Borne NVH Workshop • Minimize the Source Load Your Presenters today were: • Manage Mode Placement Alan Duncan, Material Sciences Corp. • Provide Isolation Greg Goetchius, Material • Mount at Nodal PointsSciences Corp. • Provide Dynamic Absorber Sachin Gogate, DaimlerChrysler Corp. Visit: www.AutoAnalytics.com/papers.html (or www.sae.org) •Reduce the 2007 Structure Borne NVH Mobility Source - Receiver Workshop to download NVH Workshop
  • 117. The Fundamental Secret of Structure Borne NVH Performance To Minimize Structure Borne NVH, connect between Source and Receiver Sub-Systems at Locations where the Motion is at a Minimum. That’s All Folks ! Meets Conditions of the Attending the Thank You for Attenuations Strategies 2007 Structure Borne NVH Workshop • Minimize the Source Load Your Presenters today were: • Manage Mode Placement Alan Duncan, Material Sciences Corp. • Provide Isolation Greg Goetchius, Material • Mount at Nodal PointsSciences Corp. • Provide Dynamic Absorber Sachin Gogate, DaimlerChrysler Corp. Visit: www.AutoAnalytics.com/papers.html (or www.sae.org) •Reduce the 2007 Structure Borne NVH Mobility Source - Receiver Workshop to download NVH Workshop