American Institute of Aeronautics and Astronautics
1
A NEW APPROACH IN STACKING SEQUENCE OPTIMIZATION OF
COMPOSITE LAMINATES USING GENESIS STRUCTURAL ANALYSIS
AND OPTIMIZATION SOFTWARE
Juan Pablo Leiva
*
, Dipankar K. Ghosh
+
and Naveen Rastogi
⊥
*
GENESIS Project Manager, Vanderplaats Research and Development, Inc., Senior Member AIAA
+
Product Manager, Vanderplaats Research and Development, Inc., Member AIAA
⊥
Technical Fellow, CAE & Optimization, Visteon Corporation, Senior Member AIAA
Copyright 2002 by Vanderplaats Research and Development, Inc. Published by the American Institute of
Aeronautics and Astronautics, Inc., with permission
ABSTRACT
A simple approach to stacking sequence optimization
of composite laminates is presented. The original
stacking sequence problem is solved using an
equivalent sizing optimization problem with
continuous design variables.
INTRODUCTION
The composite laminate design process typically
involves optimization of the following four
parameters:
1. Ply (or lamina) material,
2. Ply thickness,
3. Ply orientation, and
4. Stacking (or lay-up) sequence.
The true optimization of a composite laminate,
simultaneously considering the coupling effects of the
four design parameters mentioned above, is a
mathematical challenge in structural optimization.
The optimization of ply material is, perhaps, the most
complex of all because of the inherent possibility of
designing a hybrid laminate consisting of two or more
material types. Recent work by Grosset,
Venkataraman and Haftka
1
is an attempt to address
the issue of multi-material optimization for hybrid
composite laminates.
Numerous analytical techniques are available to
optimize the ply thickness and orientation of a
composite laminate. While majority of the
commercially available structural optimization codes
treat ply thickness and orientation as continuous
design variables, GENESIS
2
has been recently
enhanced to handle them as discrete and/or
continuous design variables during the laminate
design process.
Once ply material, thicknesses and orientations in the
laminate are known, a certain sequence of layers,
known as laminate lay-up or stacking sequence, is
assumed. However, this assumed laminate stacking
sequence might not produce the optimal laminate
design for a composite structure. This is especially
true when the response of the laminated structure is
NOT dominated by its membrane properties.
One straightforward approach to stacking sequence
optimization may be to evaluate all the candidate
designs after material, thickness and orientation
optimization has been performed, and then pick the
best one. This approach, however, is computationally
intensive for most practical applications, because the
total number of possibilities in a laminate stacking
sequence design is normally huge. For example, if a
9th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization
4-6 September 2002, Atlanta, Georgia
AIAA 2002-5451
Copyright © 2002 by the author(s). Published by the American Institute of Aeronautics and Astronautics, Inc., with permission.