This paper presents an automated algorithm for the design of vehicle structures for crashworthiness based on the analyses of the structural crash mode (CM). The CM is the history of the deformation of the different zones of the vehicle structure during a crash event. The algorithm emulates a manual design process called crash mode matching where crashworthiness is improved by manually modifying the design until its CM matches what the designers deem as optimal. Given an initial design and a desired crash mode, the proposed algorithm iteratively finds new designs that have better crashworthiness performance via stochastic sampling of the design space. In every iteration of the algorithm, a number of sample designs are generated through a normal distribution on neighboring regions of the search space to the current design, and the best among the samples is chosen as the new design. The mean and the standard deviation of the normal distributions are adjusted in each iteration by examining the crash mode of the current design and by applying a set of fuzzy logic rules that encapsulate elementary knowledge of the CM matching practice. Two case studies, examining a front half vehicle as well as fully detailed vehicle models, are presented to demonstrate the effectiveness of the proposed algorithm.

1.
Yang
,
R. J.
,
Gu
,
L.
,
Tho
,
C. H.
, and
Sobieski
,
J.
, 2001, “
Multidisciplinary Optimization of a Full Vehicle With High Performance Computing
,”
Proceedings of the American Institute of Aeronautics and Astronautics
, Paper No. AIAA-2001-1273.
2.
Mayer
,
R.
,
Kikuchi
,
N.
, and
Scott
,
R.
, 1996, “
Application of Topological Optimization Techniques to Structural Crashworthiness
,”
Int. J. Numer. Methods Eng.
0029-5981,
39
, pp.
1383
1403
.
3.
Soto
,
C.
, and
Diaz
,
A.
, 1999, “
Basic Models for Topology Design Optimization in Crashworthiness Problems
,”
Proceedings of the ASME Design Engineering and Technical Conferences
, Las Vegas, NV, Sept. 12–15, Paper No. DETC 99/DAC 8591.
4.
Soto
,
C.
, 2001, “
Optimal Structural Topology Design for Energy Absorption: A Heurtistic Approach
,”
Proceedings of the ASME Design Engineering and Technical Conferences
, Pittsburgh, PA, Sept. 9–12, Paper No. DETC 2001/DAC 21126.
5.
Pedersen
,
C.
, 2003, “
Topology Optimization Design of Crushed 2D-Frames for Desired Energy Absorption History
,”
Struct. Multidiscip. Optim.
1615-147X,
25
, pp.
368
382
.
6.
Forsberg
,
J.
, and
Nilsson
,
L.
, 2007, “
Topology Optimization in Crashworthiness Design
,”
Struct. Multidiscip. Optim.
1615-147X,
33
, pp.
1
12
.
7.
Patel
,
N.
,
Kang
,
B.
,
Renaud
,
J.
, and
Tovar
,
A.
, 2009, “
Crashworthiness Design Using Topology Optimization
,”
ASME J. Mech. Des.
0161-8458,
131
, p.
061013
.
8.
Simpson
,
T.
,
Booker
,
A.
,
Ghosh
,
D.
,
Giunta
,
A.
,
Koch
,
P.
, and
Yang
,
R.
, 2004, “
Approximation Methods in Multidisciplinary Analysis and Optimization: A Panel Discussion
,”
Struct. Multidiscip. Optim.
1615-147X,
27
, pp.
302
313
.
9.
Yang
,
R. J.
,
Gu
,
L.
,
Liaw
,
L.
,
Gearhart
,
C.
,
Tho
,
C. H.
,
Liu
,
X.
, and
Wang
,
B. P.
, 2000, “
Approximations for Safety Optimization of Large Systems
,”
ASME Design Engineering and Technical Conferences, DET
, Baltimore, MD, Paper No. DETC2000-14245.
10.
Han
,
J.
, and
Yamada
,
K.
, 2000, “
Maximization of the Crushing Energy Absorption of the S-Shaped Thin-Walled Square Tube
,”
AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization
, Long Beach, CA, Paper No. AIAA-2000-4750.
11.
Yang
,
R. J.
,
Wang
,
N.
,
Tho
,
C. H.
,
Bobineau
,
J. P.
, and
Wang
,
B. P.
, 2001, “
Metamodeling Development for Vehicle Frontal Impact Simulation
,”
ASME Design Engineering and Technical Conferences, DET
, Pittsburgh, PA, Paper No. DETC2001-21012.
12.
Chen
,
S.
, 2001, “
An Approach for Impact Structure Optimization Using the Robust Genetic Algorithm
,”
Finite Elem. Anal. Design
0168-874X,
37
, pp.
431
446
.
13.
Kurtaran
,
H.
,
Omar
,
T.
, and
Eskandarian
,
A.
, 2001, “
Crashworthiness Design Optimization of Energy-Absorbing Rails for the Automotive Industry
,”
ASME International Mechanical Engineering Congress and Exposition
, New York, NY, Paper No. IMECE2001-AMD25452.
14.
Redhe
,
M.
,
Gieger
,
M.
, and
Nilsson
,
L.
, 2004, “
An Investigation of Structural Optimization in Crashworthiness Design Using a Stochastic Approach
,”
Struct. Multidiscip. Optim.
1615-147X,
27
, pp.
446
459
.
15.
Fang
,
H.
,
Rais-Rohani
,
M.
,
Liu
,
Z.
, and
Horstemeyer
,
M.
, 2005, “
A Comparative Study of Metamodeling Methods for Multiobjective Crashworthiness Optimization
,”
Comput. Struct.
0045-7949,
83
, pp.
2121
2136
.
16.
Forsberg
,
J.
, and
Nilsson
,
L.
, 2006, “
Evaluation of Response Surface Methodologies Used in Crashworthiness Optimization
,”
Int. J. Impact Eng.
0734-743X,
32
, pp.
752
777
.
17.
Redhe
,
M.
, and
Nilsson
,
L.
, 2006, “
A Multipoint Version of Space Mapping Optimization Applied to Vehicle Crashworthiness Design
,”
Struct. Multidiscip. Optim.
1615-147X,
31
, pp.
134
146
.
18.
Sinha
,
K.
, 2007, “
Reliability-Based Multiobjective Optimization for Automotive Crashworthiness and Occupant Safety
,”
Struct. Multidiscip. Optim.
1615-147X,
33
, pp.
255
268
.
19.
Liao
,
X.
,
Li
,
Q.
,
Yang
,
X.
,
Zhang
,
W.
, and
Li
,
W.
, 2008, “
Multiobjective Optimization for Crash Safety Design of Vehicles Using Stepwise Regression Model
,”
Struct. Multidiscip. Optim.
1615-147X,
35
, pp.
561
569
.
20.
Yang
,
R. J.
,
Li
,
G.
, and
Fu
,
Y.
, 2007, “
Development of Validation Metrics for Vehicle Frontal Impact Simulation
,”
ASME Design Engineering and Technical Conferences
, Las Vegas, NV, Paper No. DETC2007-34124.
21.
Sarin
,
H.
,
Kokkolaras
,
M.
,
Hulbert
,
G.
,
Papalambros
,
P.
,
Barbat
,
S.
, and
Yang
,
R. J.
, 2008, “
A Comprehensive Metric for Comparing the Time Histories in Validation of Simulation Models With Emphasis of Vehicle Safety Applications
,”
ASME Design Engineering and Technical Conferences, DET
, Brooklyn, NY, Paper No. DETC2008-49669.
22.
Xiaokai
,
C.
, and
Bangguo
,
L.
, 2009, “
Crashworthiness and Mass-Reduction Design of Vehicles Based on Enhanced RSM
,”
IEEE VPPC Conference
.
23.
Zhu
,
P.
,
Zhang
,
Y.
, and
Chen
,
G.
, 2009, “
Metamodel-Based Lightweight Design of an Automotive Front-Body Structure Using Robust Optimization
,”
Proc. Inst. Mech. Eng., Part D (J. Automob. Eng.)
0954-4070,
223
, pp.
1133
1147
.
24.
Acar
,
E.
, and
Solanki
,
K.
, 2009, “
System Reliability Based Vehicle Design for Crashworthiness and Effects of Various Uncertainty Reduction Measures
,”
Struct. Multidiscip. Optim.
1615-147X,
39
, pp.
311
325
.
25.
Mase
,
T.
,
Wang
,
J. T.
,
Mayer
,
R.
,
Bonello
,
K.
, and
Pachon
,
L.
, 1999, “
A Virtual Bumper Test Laboratory for FMVR 581
,”
Proceedings of the ASME 1999 Design Engineering and Technical Conferences
, Las Vegas, NV, Sept. 12–15, Paper No. DET C99-DAC 8572.
26.
Ignatovich
,
C. L.
, and
Diaz
,
A.
, 2002, “
Physical Surrogates in Design Optimization for Enhanced Crashworthiness
,”
AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization
, Atlanta, GA, Paper No. AIAA-2002-5537.
27.
Soto
,
C. A.
, and
Diaz
,
A. R.
, 1999, “
Basic Models for Topology Design Optimization in Crashworthiness Problems
,”
ASME Design Engineering and Technical Conferences, DET
, Las Vegas, NV, Paper No. DETC99-8591.
28.
Chellappa
,
S.
, and
Diaz
,
A.
, 2002, “
A Multi-Resolution Reduction Scheme for Structural Design
,”
NSF 2002 Conference
, pp.
98
107
.
29.
Takada
,
K.
, and
Abramowicz
,
W.
, 2004, “
Fast Crash Analysis of 3D Beam Structures Based on Object Oriented Formulation
,”
SAE World Congress
, Detroit, MI, Paper No. 04B-119.
30.
Hamza
,
K.
, and
Saitou
,
K.
, 2004, “
Design for Crashworthiness of Vehicle Structures via Equivalent Mechanism Approximations and Crash Mode Matching
,”
Proceedings of the ASME International Mechanical Engineering Congress and Exposition
, Anaheim, CA, Paper No. IMECE2004-62226.
31.
Hamza
,
K.
, and
Saitou
,
K.
, 2005, “
Design for Structural Crashworthiness Using Equivalent Mechanism Approximations
,”
ASME J. Mech. Des.
0161-8458,
127
(
3
), pp.
485
492
.
32.
Sousa
,
L.
,
Veríssimo
,
P.
, and
Ambrósio
,
J.
, 2008, “
Development of Generic Multibody Road Vehicle Models for Crashworthiness
,”
Multibody Syst. Dyn.
1384-5640,
19
, pp.
133
158
.
33.
Soto
,
C.
, 2003, “
Structural Topology Design Optimization for Controlled Crash Behavior
,”
ASME Design Engineering and Technical Conference
, Chicago, IL, Paper No. DETC2003-48733.
34.
Hamza
,
K.
, and
Saitou
,
K.
, 2006, “
An Efficient Algorithm for Vehicle Crashworthiness Design via Crash Mode Matching
,”
ASME Design Engineering and Technical Conference
, Philadelphia, PA, Paper No. DETC2006-99485.
35.
Hopgood
,
A.
, 2001,
Intelligent Systems for Engineers and Scientists
, 2nd ed.,
CRC
,
New York
.
36.
2001, MATLAB 6 Documentation, MathWorks, Natick, MA.
37.
Resnick
,
S.
, 1992,
Adventures in Stochastic Processes
,
Birkhaeuser Boston c/o Springer Science
,
New York
.
38.
2001, LS-DYNA Software Manuals, Livermore Software Technology Corporation, Livermore, CA.
39.
Hamza
,
K.
, 2008, “
Design for Vehicle Structural Crashworthiness via Crash Mode Matching
,” Ph.D. thesis, University of Michigan, Ann Arbor, MI.
40.
2003, PAM-CRASH Software Manuals, ESI Group, Paris, France.
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