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MSC Software Confidential MSC Software Confidential
Evaluation and Optimization of
Damper strategies using co-simulations
Presented By: Arun Kumar (A. K.) Chandrasekaran
May 14, 2013
MSC Software Confidential
• Background
• ADAMS and Parameterized Damper model
• Simulation Results
• Optimization
Agenda
2
MSC Software Confidential
• Damper curve optimization for improved ride qualtiy
performance
• Increased damping to improve performance on high RMS
courses causes the performance on lower RMS courses to suffer
– Investigate position dependant damper technology to get
around this challenge
• Also investigate wheel energy to evaluate potential fuel economy
savings from improved ride
Background
3
MSC Software Confidential
• Multi-body Dynamic model in ADAMS/Car
• Accurate model of chassis and suspension
• Basic model of powertrain
• Rigid ground model (no soft-soil considerations)
Approach
4
MSC Software Confidential
ADAMS and Damper models
5
Co-simulation with
MATLAB/Simulink and
ADAMS/Car was used to
optimize dampers
Multibody
Dynamics
Vehicle model in
ADAMS/Car
Parametric
damper model
in MATLAB/
Simulink
Damping Forces
Damper Velocity
and
Displacement
MSC Software Confidential
Co-simulation
6
MATLAB/Simulink Damper model
ADAMS/Car Vehicle Model
MSC Software Confidential
Courses Used
7
Five different courses
with varying terrain
roughness (RMS)
1”
1.5”
2”
2.5”
3”
MSC Software Confidential
• Total Damper force was modeled as a summation of a “pure velocity
dependant component” and a “position dependant component”
• The “pure velocity component” and the “position component” were
optimized separately
Damper Force
8
ntdisplacemedamper on dependant are and
Exponent -
Velocity -
speedmax at Force -
force dampingdependant Position -
*100
eF
e
V
F
F
where
VF
F
FFvF
MAX
MAX
PD
e
e
MAXPD
PDDamper
MSC Software Confidential
• “6W speed” – Speed of the vehicle at which Driver absorbed power is
6W
Criteria
9
Acceleration Absorbed
Power
For example, a 5Hz sin wave with peak amplitude of 0.25g will produce about 6 W
MSC Software Confidential
Fv Curve DoE
10
MSC Software Confidential
Fv Curve DoE - Results
11
Low RMS courses High RMS courses
MSC Software Confidential
FPD DoE
12
Position Dependant Damper Curve DoE
MSC Software Confidential
FPD DoE
13
Typical Damper Curve Candidate
Fo
rce
MSC Software Confidential
FPD DoE – Results
14
Low RMS courses
High RMS courses
MSC Software Confidential
FPD DoE
15
Position Dependant Damper Curve DoE
High
RMS
Low
RMS
Low
RMS
High
RMS
MSC Software Confidential
• Objective function derived from normalized 6W Speeds on
5 RMS courses
• Courses that were traditionally challenging were given a
higher weight
Multi-Objective Optimization
16
i
i
Reqt
6WspdiObj
MSC Software Confidential
Results – Ride
17
Average 40%
improvement
on 6W speeds
across RMS
range
MSC Software Confidential
Roughness Resistance
18
Simulations were ran with
detrended courses (no
grade), zero aerodynamic
drag, and zero (flat road)
rolling resistance tires
),( )( Const Coeff Resistance Rolling vRMSfvf
MSC Software Confidential
Results – Roughness Resistance
19
RR values
show
dependence
on RMS and
frequency
content of
courses
MSC Software Confidential
Results – Roughness Resistance
20
RR values are
passed onto
the fuel
economy
model to
determine mpg
improvement
MSC Software Confidential
Q&A
21
MSC Software Confidential 22