Multi-Objective Sizing Design Optimization of an Airfoil via Genetic Algorithms

Resumo

One of the problems with optimization in aeronautical engineering, with various formulations, refers
to searching for the best airfoil geometric shapes to reach countless objectives for several finalities. Between

the formulations of these optimization problems, there are single and multiple objective problems. The multi-
objective optimization generally contains conflicting objectives. The final solutions generate a Pareto curve that

will enable the decision-maker to choose the one that best suits their expectations. In this work, the formulation
and solution to the problem of multi-objective optimization of a beam with an airfoil as a cross-section with two
conflicting objectives are presented. The maximization of the first mode of natural frequency of vibration and the
minimization of the airfoil structural weight are the conflicting objective functions. The maximization of the first
mode of natural frequency aims to avoid resonance problems with possible loads and minimize the weight, for
an efficient airfoil. The airfoil is modeled in 2 dimensions, and the variable in the project is the thickness of the
cross-section. To solve the optimization problem, it is used the MOGA - Multi-objective Optimization Genetic
Algorithm, available in the software ANSYSr. The model developed and its complexity is presented, obtaining
interesting results, and the desired expectations.