Optimal design of composite laminates with uncertain in-plane loadings and material properties is considered. The stacking sequence is designed to have maximum buckling load based on anti-optimization approach. To consider the above-mentioned uncertain properties, the convex modeling and Monte Carlo simulation techniques are used in calculating objective function. For the stacking sequence optimization, it is used the modified genetic algorithm which handles the discrete ply angles and the constraints easily. Numerical results are given for rectangular laminates of various aspect ratios. The optimal solutions from the deterministic and the stochastic cases are obtained and it is demonstrated the importance of considering uncertainty. The buckling load carried by a deterministic design is much less than the one carried by a design uncertainty considered when both are subjected to uncertain loads. Also, it is examined the effects of the method for considering uncertainty on the optimization process in the light of computational efficiency and reliability of solutions obtained.

1.
Park
W. J.
,
1982
, “
An Optimal Design of Simple Symmetric Laminates under the First Ply Failure Criterion
,”
Journal of Composite Materials
,
16
, pp.
341
355
.
2.
Kim
C. W.
,
Hwang
W.
,
Park
H. C.
, and
Han
K. S.
,
1997
, “
Stacking Sequence Optimization of Laminated Plates
,”
Composite Structures
,
39
, pp.
283
288
.
3.
Tauchert
T. R.
, and
Adibhalta
S.
,
1984
, “
Design of Laminated Plates for Maximum Stiffness
,”
Journal of Composite Materials
,
18
, pp.
58
69
.
4.
Kam
T. Y.
, and
Lai
M. D.
,
1992
, “
Multilevel Optimal Design of Laminated Composite Plate Structures
,”
Composite Structures
,
31
, pp.
197
202
.
5.
Franco Correia
V. M.
,
Mota Soares
C. M.
, and
Mota Soares
C. A.
,
1997
, “
Higher Order Models on the Eigenfrequency Analysis and Optimal Design of Laminated Composite Structures
,”
Composite Structures
,
39
, pp.
237
253
.
6.
Mota Soares
C. M.
,
Mota Soares
C. A.
, and
Franco Correia
V. M.
,
1997
, “
Optimization of Multilaminated Structures Using Higher-order Deformation Models
,”
Computer Methods in Applied Mechanics and Engineering
,
149
, pp.
133
152
.
7.
Todoroki
A.
,
Sasada
N.
, and
Miki
M.
,
1996
, “
Object-oriented Approach to Optimize Composite Laminated Plate Stiffness with Discrete Ply Angles
,”
Journal of Composite Materials
,
30
, pp.
1020
1041
.
8.
Kim
T. U.
, and
Sin
H. C.
,
2001
, “
Optimal Design of Composite Laminated Plates with the Discreteness in Ply Angles and Uncertainty in Material Properties Considered
,”
Computers and Structures
,
79
, pp.
2501
2509
.
9.
Hajela
P.
,
1990
, “
Genetic Search - An Approach to the Nonconvex Optimization Problem
,”
AIAA Journal
,
26
, pp.
1205
1210
.
10.
Riche
R.
, and
Haftka
R. T.
,
1993
, “
Optimization of Laminate Stacking Sequence for Buckling Load Maximization by Genetic Algorithm
,”
AIAA Journal
,
31
, pp.
951
956
.
11.
Liu
B.
,
Haftka
R. T.
, and
Akgun
M. A.
,
2000
, “
Permutation Genetic Algorithm for Stacking Sequence Design of Composite Laminates
,”
Computer Methods in Applied Mechanics and Engineering
,
186
, pp.
357
372
.
12.
Todoroki
A.
, and
Haftka
R. T.
,
1998
, “
Stacking Sequence Optimization by a Genetic Algorithm with a New Recessive Gene Like Repair Strategy
,”
Composite Part B
,
29
, pp.
277
285
.
13.
Ben-Haim, Y., and Elishakoff, I., 1990, Convex Models of Uncertainty in Applied Mechanics, Elsevier, Amsterdam.
14.
Elishakoff
I.
, and
Colombi
P.
,
1993
, “
Combination of Probabilistic and Convex Models of Uncertainty When Scarce Knowledge Is Present on Acoustic Excitation Parameters
,”
Computer Methods in Applied Mechanics and Engineering
,
104
, pp.
187
209
.
15.
Elishakoff
I.
,
Haftka
R. T.
, and
Fang
J.
,
1994
, “
Structural Design Under Bounded Uncertainty - Optimization with Anti-optimization
,”
Computers and Structures
,
53
, pp.
1401
1405
.
16.
Lombardi
M.
, and
Haftka
R. T.
,
1998
, “
Anti-optimization Technique for Structural Design Under Load Uncertainties
,”
Computer Methods in Applied Mechanics and Engineering
,
157
, pp.
19
31
.
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