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Copyright LMS International 1
Multi Body Modeling for Ride ComfortHarshness approach & methodologies
Andrew McQueen
Technical Manager – LMS UK
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Driving dynamics
The right tools for the right purpose!
Model complexity
Mo
delin
g a
ccu
racy
3D MBS 3D MBS/FEA
1D functional models 3D MBS rigid bodies flexible bodies non-linear
Real-Time enabling
Imagine.Lab Virtual.Lab SAMCEF Mecano
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Agenda
2 The harshness mechanism
1 Introduction
4
Simplified modeling for Harshness
5
Detailed modeling for Harshness
Conclusions
3
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Vibration Harshness
1 2 4 7 10 20 40 70 100
Hz
Powertrain
Engine
Steering
Brake
Tires
Suspension
Chassis Comfort
PitchRoll
Jerking
Drivability
Idle
vibrations
Steering
shudder
Steer
ability
Brake
judder
Shimmy
Chassis shake
Scanning, Rolling
Parking
Harshness
Stopping
distance
Simple to complex modelsFew parameters to many parameters are required
Increased CPU time
ISO & NHTSA
maneuvers
On centre
feeling
Tip in
Back out
NVH
Road noise
NVH
Powertrain
noise
contr
ols
Driving Dynamics in need of a mechatronic Systems Approach
Multi-disciplinary, covering wide frequency range, interconnected
Handling
Ride-comfort (Primary & Secondary) Noise
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Virtual Development Process: Classifying Subjects
� Handling 0 – 2 Hz
� Reaction of the vehicle to steering inputs (lateral dynamics), braking (longitudinal dynamics), …
� Constant radius cornering, step steer and release, ISO lane change, constant radius cornering, sweep input, brake in turn, rollover, … all ISO & NHTSA manoeuvres!
� Primary Ride 1 – 5 Hz
� The car body moves rigidly on the main springs (bounce, roll, …)
� Secondary Ride 5 – 15 Hz
� Suspension (wheel hop, axle tramp, fore-aft, …) and powertrain (bounce, roll, …) modes amplify excitations from road, wheel unbalance, engine idling, …
� Road shake, steering shimmy, impact harshness,
� Drivability 5 – 15 Hz
� Suspension (hop, tramp, fore-aft, …) and powertrain (bounce, roll, …) and driveline (torsional) modes amplify excitations from throttle input
� Tip-in/out, key-on/off, gear shift, idle regulation/engine control
� Vibration Comfort 15 – 50 Hz
� Excitations from P/T are amplified by resonances of vehicle body or auxiliaries
� Steering shake, floor vibrations, durability …
� Acoustic Comfort 20 – 10k Hz
� Airborne and structure borne excitation from road, P/T or auxiliaries
� P/T boom, gear whine, rolling noise, wind noise, HVAC noise, …
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Impact Harshness analysis
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Agenda
2 The harshness mechanism
1 Introduction
4
Simplified modeling for Harshness
5
Detailed modeling for Harshness
Conclusions
3
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Impact Harshness ModelingGeneral MB modeling for ride
� Ride MB modeling includes two different levels of complexity, depending on the project phase considered and on the output to be evaluated:
� Simplified models, that describe few physical d.o.f. of the vehicle
� Full vehicle models, based on the assembly of main vehicle subsystems (suspensions, steering line, engine suspension, …)
Simplified ride models
Full vehicle ride models
Chassis virtual development timeline
Definition of suspension specification based on ride comfort
targets
Ride optimization and specification for chassis components and its interfaces
pp
CDTire
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Impact Harshness ModelingSimplified harshness model
11 d.o.f. model• as 6 d.o.f model• body longitudinal translation• front/rear unsuspended mass longitudinal translation
PerformanceBody longitudinal vibrations on a passage over obstacle
Output• suspensions longitudinal stiffness• kinematic longitudinal displacement in vertical travel of the suspensions
11 d.o.f. model• as 6 d.o.f model• body longitudinal translation• front/rear unsuspended mass longitudinal translation
PerformanceBody longitudinal vibrations on a passage over obstacle
Output• suspensions longitudinal stiffness• kinematic longitudinal displacement in vertical travel of the suspensions
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Impact Harshness analysisTire model
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Agenda
2 The harshness mechanism
1 Introduction
4
Simplified modeling for Harshness
5
Detailed modeling for Harshness
Conclusions
3
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Impact Harshness analysis Impact Harshness & After shake
� Maneuver description
� Symmetric passage over rectangular obstacles
� Front and rear wheels separately
� At different speeds (e.g. 10 ~ 80 km/h)
� MB model description
� Flexible full vehicle ride assembly
� CDT20/30 formulation
� Controlled performances
� Fr & Rr seat rail long. & vert. acc.
� Damping rate of transient
� Output
� Suspension longitudinal filtering
• Longitudinal stiffness, wheel center longitudinal
• Displacement vs. wheel travel, tire dynamic characteristics
� Suspension vertical filtering
• Shock absorber characteristic
� Steering wheel vibrations
• Steering line stiffness, car body stiffness at the connection points, steering line and body dynamic coupling
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RIGID
full vehicle ride assembly
Full vehicle ride models
FLEXIBLE
full vehicle ride assembly
Ride components:
CD-Tire
PWT mounts
Shock Abs
Hydromount
+Rigid full vehicle handlingassembly
Ride components:
CD-Tire
PWT mounts
Shock Abs
Hydromount
+Flexible full vehicle handling
assembly
(T/B+ subframes)
General MB modelling for ride
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Harshness Multi-Body model
A full vehicle multi-body model is used for the harshness simulations.
It includes the following subsystems:
� Front/Rear Suspensions, including bushing dynamic stifness and flex subframes
� Steering system
� Tires (suitable for ride-comfort analyses, such as CDT or FTire)
� Powertrain (rigid) and P/T mounts
� Full trimmed body
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Harshness detailed Modeling & AnalysisMMC application case
LMS JSAE Conference 2005 - 373Paola Diglio , LMS Engineering Services, Italy
Joris Van Herbrugghen, LMS Engineering Services, Belgium
Valerio Cibrario, LMS Engineering Services, Italy
Hiroshi Yamauchi, Mitsubishi Motor Corporation, Japan
Masayuki Taketani, Mitsubishi Motor Corporation, Japan
Accurate Harshness modeling and analysis using multi-body CAE models
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Harshness Multi-Body model
� The parts of the model can be modeled as “rigid” or flexible. Rigid parts are
modeled by means of their inertia properties and center of gravity location.
� Flexible parts are modeled by means of a Craig-Bampton modal reduction of
their finite element models.
The modal base takes into account all the normal modes within a frequency
range that is reasonable for the analyzed phenomena and all the “static”
modes at the interface d.o.f’ s with the other parts of the multi-body model.
A structural damping ratio is also assigned to the flexible bodies.
� Front and rear subframes and the car body have been alternatively
represented by means of rigid parts or flexible bodies.
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Harshness Multi-Body model Bushing dynamic stiffness tuning process
In order to implement in the model the information about the dynamic behavior of
the bushings, a tuning process has been developed for the calculation of the
bushing dynamic stiffness.
That tuning process can be understood as follow:
� 1st step of the process:
Define a set of bushings that mainly influences the harshness response
� 2nd step of the process:
Obtain a dynamic stiffness vs input deformation level curve
� 3rd step of the process:
Define the deformation level/dynamic stiffness of the bushing
Software Limitation at the time – now tools will allow a dynamic
stiffness (amp + phase) to be defined for a bush
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Harshness Multi-Body model
CD-Tire 20 model
rigid ring model with (global) viscous-elastic sidewall,
geometrically parameterized normal contact and PDE
based tangential contact. It is suitable for excitation by
road profiles with long wavelengths.
� CD-Tire 30-model
flexible belt, rod-type in-plane model with (local) viscous-
elastic sidewall and brush type contact. The model is
suitable for excitation by road surfaces with short
wavelengths and a constant height profile in lateral
direction.
� CD-tire 40 model
flexible belt, shell-type 3D model with (local) viscous-
elastic sidewall and brush type contact. It can accurately
represent excitation by road surfaces in case with short
wavelength longitudinal and lateral height profile (e.g.
Belgian blocks, angled cleats, …).
pp
Rim
p
Rim
p
The LMS Comfort Durability Tire has been used to model the tire in the harshness multi–body full vehicle model.
CD-Tire is a family of 3 models (CD-Tire 20, CD-Tire 30 & CD-Tire 40) based on a macroscopic physical description of tires, which is a compromise between scope of applicability and speed.
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Harshness Multi-Body model
� Model parameters such as the belt bending stiffness essentially have to be determined by testing the whole tire
in a number of standard tire tests.
� They include static measurements (vertical + lateral stiffness, contact geometry), stationary measurements (pure
longitudinal slip, pure lateral slip, rolling resistance) and transient measurements (modal analysis of the free tire,
45° and 90° cleat runs). In order to insure sufficient accuracy over a broad application range, these
measurements typically are subject to variations of inflation pressure, preload and velocity (where applicable).
� Figure below shows the accuracy of the parameter identification process performed on the tire used in this
project:
-4000
-2000
0
2000
4000
0.0 0.1 0.2 0.3 0.4
Time, sec-1000
-500
0
500
1000
1500
2000
0.0 0.1 0.2 0.3 0.4
Time, secTime (sec)Time (sec) Time (sec)Time (sec)
——FxFx_measur ed _measur ed ——FxFx_calculated_calculated ——FzFz_measured _measured ——FzFz_calcu lated_calcu lated
Fx Fx (N)(N) FzFz (N)(N)
-3000
-2000
-1000
0
1000
2000
0.0 0.1 0.2 0.3 0.4
Time, sec-1000
-500
0
500
1000
1500
2000
0.0 0.1 0.2 0.3 0.4
Time, secTime (sec)Time (sec) Time (sec)Time (sec)
——FxFx_measured _measured ——FxFx_calculated_calculated ——FzFz_measured _measured ——FzFz_calcu lated_calcu lated
Fx Fx (N)(N) FzFz (N)(N)
Measured and calculated longitudinal (left) and vertical (right)
spindle forces at 20 km/h and 60 km/h
20 k
m/h
60 k
m/h
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Harshness simulation
� The condition simulated by means of the time-domain multi-body analysis is the
passage over a cleat with dimension: height 10mm, width = 50 mm.
� The tires impact perpendicularly the cleat and left and right tires simultaneously get
over the cleat (symmetric obstacle passage).
� Two different types of CD-Tire models are used in the simulations, in order to save
CPU time : a CD-Tire 20 (rigid ring model) in the transient phase of analysis, up to the
obstacle, and a CD-Tire 30 (flexible ring model) in the obstacle passing phase; the
switch between the two types is automatic.
� The simulation has been carried out at several car speeds: from 20 to 70 km/h with
step of 10 km/h.
� Moreover, the passage over the obstacle has been allowed separately for the front
and rear tires in order to better distinguish the two effects of the suspensions.
� The monitored performances are the peak-peak amplitude of the vertical and
longitudinal accelerations at the driver’s seat evaluated from the time history of that
data at different car speeds.
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Harshness simulation
The effect of the body flexibility on the final performance depends on both the characteristics of the
suspensions and of the body and on their coupling and then it cannot be neglected a priori: pictures
above show, for instance, a stronger effect of the body flexibility on the driver’s seat rail longitudinal
acceleration for a front obstacle passage and on the driver’s seat rail vertical acceleration for a rear
obstacle passage.
Figures below show the results obtained considering the front/rear subframes and the car body
respectively all rigid and all flexible:
Front tires obstacle passage
Rear tires obstacle passage
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Harshness simulation
� Two additional outputs have been extracted from the simulation in order to haveadditional guidelines for the front and rear suspensions design:
1. Difference between the peak-peaklongitudinal and vertical acceleration, due tothe front and rear obstacle passages.
2. Damping of the vertical acceleration atwheel centers respectively for a front andrear tires obstacle passages.
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Harshness simulation
Following test data were available:
� Time histories of longitudinal and vertical acceleration at front left wheel centerduring the front tires obstacle passage at 20 and 40 km/h;
� Time histories of longitudinal and vertical acceleration at driver’s seat rail duringthe front tires obstacle passage at 20 and 40 km/h;
� Peak-peak values of longitudinal and vertical acceleration at driver’s seat rail fora front tires obstacle passage from 10 to 80 km/h.
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Harshness simulation
The comparison between calculated and measured front wheel center accelerations in front
obstacle passage shows a very good correlation, mainly in longitudinal direction. This
demonstrates the validity of the tire model, that dominates the wheel center response.
Front tires obstacle passage
at 20 km/h
Front tires obstacle passage
at 40 km/h
Front wheel center accelerations
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Harshness simulation
The comparison between the calculated and measured driver’s seat rail accelerations in the
front obstacle passage shows again a very good correlation, mainly in the longitudinal
direction.
Front tires obstacle passage
at 20 km/h
Front tires obstacle passage
at 40 km/h
Driver’ s seat rail accelerations
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Harshness simulation
Peak-peak amplitude of the longitudinal and vertical driver’s seat acceleration predicted from
the multi-body model is completely within the dispersion of the test data.
Driver’ s seat rail accelerationsFront tires obstacle passage
Longitudinal Vertical
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Agenda
2 The harshness mechanism
1 Introduction
4
Simplified modeling for Harshness
5
Detailed modeling for Harshness
Conclusions
3
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Impact Harshness analysis MMC case
� Graphs below show some results of a CAE-Test correlation of harshness:
Vertical
Front input @ 20 km/h
Longitudinal
Front input @ 20 km/h
Front input @ 40 km/h
Vertical
Front input @ 40 km/h
Longitudinal
Left front wheel center acceleration time histories
A flexible full vehicle model, with CDT30 tire model, has been used to simulate the passage of the front wheel over a symmetric obstacle (height = 10mm, width = 50mm) at some speeds.
Peak-Peak of driver’s seat rail longitudinal acceleration
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Conclusion
� A full-vehicle multi-body model has been made up for the simulation of the vehicle obstacle passage.
� Due to:
� Good accuracy of all the model parameters
� Effectiveness of tire model
the model has demonstrated to be able to predict the final harshness performance (driver’s seat rail acceleration) with a very good accuracy.
� Because of the completeness of the model itself, it can be easily used for many other ride-comfort and handling simulations, as well.
� Therefore, it represents a powerful tool in a multi–attribute optimization process.
� In a reverse engineering process, early in the development phase, the model can be also used to set-up the dynamic stiffness of the main bushing.
Thank you ! (For)(No) Questions ?