Aeroelastic response predictions under uncertainty and computational acoustics

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The capability to predict nonlinear aeroelastic behavior has been the subject of intense research for many years, since the ability to forecast instabilities in the aeroelastic response of aircraft structures is of great importance in the aerospace engineering industry. The majority of the current prediction methodologies are based on a deterministic approach, in which a mathematical model (governing system equations with initial and boundary conditions) is derived, and a solution is computed by numerical simulations. In real world problems, uncertainty does exist and this could be due to the lack of information in the modeling, errors resulting from imprecise material properties or values of system parameters, noises in experimental measurements, etc. The other potential source for uncertainty could arise from numerical errors, such as discretization. Hence, for realistic modeling and simulation, the effects due to uncertainty can not be ignored. The proposed research will focus on incorporating uncertainty in aeroelastic response prediction. This is a challenging task because stochastic formulation must now be introduced in the aeroelastic model, and a novel simulation methodology has to be developed to avoid using the conventional but very inefficient Monte Carlo method.