Application of Response Surface Model and Kriging Model to ADI Lower
Control Arm Optimization
Xue Guan Song
School of Mechanical Engineering, Dong-A
University, Busan 604-714, Korea
songxguan@gmail.com
Han Seok Park
School of Mechanical Engineering, Dong-A
University, Busan 604-714, Korea
hazelut83@nate.com
Kwon Hee Lee
Department of Mechanical Engineering,
Dong-A University, Busan 604-714, Korea
leekh@dau.ac.kr
Young Chul Park
Department of Mechanical Engineering,
Dong-A University, Busan 604-714, Korea
parkyc67@dau.ac.kr
Abstract
Simulation-based surrogate models have been used
for a variety of application in automotive industry. In
this paper, based on the FEM analysis, both of the
response surface model (RSM) and kriging model are
used to optimize an ADI control arm, where the weight
of the lower control arm is considered as the design
objective, and the maximum allowable von-Mises
stress the constraint objective. The initial FEM
analysis shows the stress distribution and maximum
stress on the lower control arm under a very severe
loading condition, by virtue of the result of FEM
analyses, fifty simulations with six design variables are
performed for RSM and kriging model to construct the
approximation of the weight and maximum stress to
obtain the optimum result. In addition, the optimized
results obtained by using RSM and KRG are confirmed
by the verified FEM analysis. The result shows that
both of them can get the optimum result well.
1. Introduction
In automotive suspension, a control arm or
sometimes known as wishbone or A-arm, is a car
suspension component that is located between the
frame and rear axle housing to carry brake and driving
torque. The control arms primary function is to manage
the wheel’s motion in relation to the vehicle’s body.
With the growth of lightweight demand of
subassembly for cost saving and fuel efficiency, the
design of control arm with less weight and stronger
mechanical performance becomes necessary and
popular. To this end, finite element method is
performed extensively in the design of control arm to
predict its mechanical performance. However, for the
optimization of complex subassembly unit such as a
control arm, using high fidelity FEM analysis becomes
too computationally expensive, due to the complex
shape and many design variables.
One alternative method is to construct a simple
approximation model of complicated FEM analyses.
The approximation model which is obtained in
approximation with the statistical method is also called
as the metamodel. The popularly used approximation
model/metamodels are the response surface method
and kriging model due to their simplicity and ease of
use. In 2007, Liao et al. [1] presented a multiobjective
optimization procedure for crash safety design of
vehicles using response surface method. In the same
year, Lee and Kang [2] presented a structural
optimization of an automotive door using kriging
model. The researchers adopted different types of
metamodels to solve the optimization problems.
However, Simpson (1998) el at. [3], Yang el at. (2001)
[4] and F. A. C. Viana (2008) el at. [5] have revealed
that the best surrogate does not necessarily leads to the
best solution, multiple surrogates rather than a single
one will works well for engineering optimization.
This paper presents an engineering optimization of
control arm made from ADI material using both RSM
and kriging model. A control arm with complex shape
under a typical loading condition is investigated using
FEM analysis initially. And then RSM and kriging
model are performed to predict the optimum result and
corresponding values of design variables. The
verification analysis is conducted to show the
accuracies of these two metamodels.
2009 International Joint Conference on Computational Sciences and Optimization
978-0-7695-3605-7/09 $25.00 © 2009 IEEE
DOI 10.1109/CSO.2009.24
1013
2009 International Joint Conference on Computational Sciences and Optimization
978-0-7695-3605-7/09 $25.00 © 2009 IEEE
DOI 10.1109/CSO.2009.24
1013
2009 International Joint Conference on Computational Sciences and Optimization
978-0-7695-3605-7/09 $25.00 © 2009 IEEE
DOI 10.1109/CSO.2009.24
1013
2009 International Joint Conference on Computational Sciences and Optimization
978-0-7695-3605-7/09 $25.00 © 2009 IEEE
DOI 10.1109/CSO.2009.24
1013