Robust-design-optimization of Flutter velocity of an aeroelastic high-aspect-ratio wing

The design and construction of aircraft wings with optimal geometry and physical properties that are highly stable is of high importance to engineers. In this study, with the assumption of uncertainty in system design variables, a robust optimization of the Flutter velocity aeroelastic wing with high-aspect-ratio under the bending-torsion effect is examined with the standard deviation minimization. Therefore, the aeroelastic wing are firstly modeled based on the Euler-Bernoulli cantilever beam model in quasi-steady aerodynamic conditions. After validating the results, in the simulation section, by using the 4th Runge-Kutta numerical solution and the theory of Eigenvalues, the system response time and Flutter velocity are obtained. In the high-aspect-ratio wings, increase the Flutter velocity in the presence of uncertainty in the parameters is important. Therefore, by choosing parameters such as bending and torsional rigidity and mass per unit wing as optimization variables the effect of uncertainty on the design variables and optimized by genetic algorithm. In addition, the values of variables before and after optimization, as well as the rate of improvement of the Flutter velocity are presented in a robust and deterministic optimization. Finally, based on the optimization results, design variables for achieving an appropriate stability structure in terms of the phenomenon Flutter is confirmed.