Knowledge-Based Shape Optimization of Morphing Wing for More Efficient Aircraft
Hindawi Publishing Corporation
International Journal of Aerospace Engineering
Volume 2015, Article ID 325724, 19 pages
http://dx.doi.org/10.1155/2015/325724
Research Article
Knowledge-Based Shape Optimization of
Morphing Wing for More Efficient Aircraft
Alessandro De Gaspari and Sergio Ricci
Department of Aerospace Science and Technology, Politecnico di Milano, Via La Masa 34, 20156 Milano, Italy
Correspondence should be addressed to Sergio Ricci;
Received 31 March 2015; Revised 22 July 2015; Accepted 31 August 2015
Academic Editor: Ning Qin
Copyright © 2015 A. De Gaspari and S. Ricci. This is an open access article distributed under the Creative Commons Attribution
License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly
cited.
An optimization procedure for the shape design of morphing aircraft is presented. The process is coupled with a knowledgebased framework combining parametric geometry representation, multidisciplinary modelling, and genetic algorithm. The
parameterization method exploits the implicit properties of the Bernstein polynomial least squares fitting to allow both local and
global shape control. The framework is able to introduce morphing shape changes in a feasible way, taking into account the presence
of structural parts, such as the wing-box, the physical behaviour of the morphing skins, and the effects that these modifications
have on the aerodynamic performances. It inherits CAD capabilities of generating 3D deformed morphing shapes and it is able
to automatically produce aerodynamic and structural models linked to the same parametric geometry. Dedicated crossover and
mutation strategies are used to allow the parametric framework to be efficiently incorporated into the genetic algorithm. This
procedure is applied to the shape design of Reference Aircraft (RA) and to the assessment of the potential benefits that morphing
devices can bring in terms of aircraft performances. It is adopted for the design of a variable camber morphing wing to investigate
the effect of conformal leading and trailing edge control surfaces. Results concerning four different morphing configurations are
reported.
1. Introduction
The very challenging targets of new environmental requirements for transport aircraft force the researchers to look
for more advanced aircraft configurations, based on more
efficient aerodynamics and structures together with more
sophisticated flight control systems. Focusing on European
transport, it appears as clear that the pressure will increase
for large scheduled European carriers to reequip their short
haul fleets with more fuel-efficient types, in order to remain
competitive with low-cost rivals and to ensure they will not be
unduly penalized when European emissions trading comes
into full force.
The Bréguet range equation [1, 2] combines aerodynamic,
propulsion, and structural figures of merit and suggests acting
on both the aircraft empty weight and the lift over drag
ratio, in order to improve the modern aircraft efficiency.
Many are the approaches investigated during recent years
trying to improve all the Bréguet equation terms, such as
advanced and unconventional configurations able to improve
aircraft efficiency, new materials and structural concepts,
active controls to peak loads reduction and flight control
improvements, more efficient engines, and alternative fuels
[3]. Certainly morphing technologies offer potential benefits
for a more efficient aircraft and for this reason literature
reports many and different morphing concepts even if a
clear evaluation of their real benefits is not available yet [4–
7]. One of the key challenges for morphing technologies
is represented by the identification of the most suitable
actuation concept able to reduce the actuation energy and the
mechanism weight.
While current aircraft are already equipped with systems
able to introduce in-flight geometrical variations such as wing
area change, variable camber, and retractable landing gear,
the morphing of next generation still has challenges and
leads to the design of morphing wings based on conformable
control surfaces [8]. In particular, the variable wing camber
morphing, considered as the capability to change the airfoil
2
shape without surface discontinuities often based on the
adoption of ad hoc designed flexible skins [9], appears as
an efficient way to maximize the lift over drag ratio and to
reduce the fuel consumption over the entire flight envelope.
However, the design of this kind of morphing devices requires
developing specific procedures able to assist the engineers
during both the design [10–12] and the benefits evaluation
phases. Currently, this target is commonly addressed by
means of dedicated multilevel and multiobjective optimization procedures [13]. Multilevel capabilities allow performing
the optimization of morphing shapes and the design of
the morphing mechanism separately [14]; multiobjective
techniques help to design aircraft able to adapt its shape to
optimize the performances along the cruise or at a wide range
of different flight conditions.
The design of morphing wing devices must combine two
opposite requirements, often named kinematic and structural
requirements, respectively: a flexible structure so to minimize
the energy necessary to adapt its shape as expected and at
the same time an enough rigid structure able to maintain the
new shape under the aerodynamic loads when the morphing
mechanism is not actuated. The approach proposed by the
authors [15] is based on the optimization of aerodynamic,
stiffness, and actuation sequentially, passing through the
definition of a family of optimal morphing shapes associated
with a group of as many flight conditions. Hence, the design
of morphing mechanism depends on the availability of the
optimal shapes that must be achieved when it is actuated and
that are computed before the mechanism is known. In this
way the optimal shapes guarantee the aerodynamic performances, while the mechanism can be optimized considering
both kinematic and structural requirements. The key problem
is that the allowable shape variation laws depend on the type
of mechanism, while the mechanism design depends on the
shape changes that the mechanism must be able to reach.
For this reason, in recent years many efforts have been made
aiming at considering energy and actuation requirements
[16–18], as well as structural constraints [19], directly during
the aerodynamic shape optimization.
The work presented in this paper focuses on the first level
of a wider morphing design framework having the following capabilities: wing shape optimization able to combine
aerodynamic performances with optimal deformation of the
skins (first level); optimal design of compliant mechanism
able to produce, once actuated, the optimal shape coming
out from the first level (second level); integration of the
morphing devices into a high-fidelity model repr (...truncated)