In a previous recent paper we discussed the limitations of the Fourier-based model in the prediction of visible moiré effects. Here, we extend the discussion to other mathematical models that are also being used in the moiré theory: the classical indicial equations method for modelling the moiré fringes between periodic or curvilinear gratings, and two methods that are used to model different f...

This project investigates aerodynamic system identification. An airfoil produces time varying loads based on the current and past boundary conditions; this project seeks to identify the lift loads resulting from pitch motion. The first part discusses some unsteady aerodynamic theory. The second part discusses the identification process. The final part discusses conclusions and observations. Aer...

The SUGAR Truss-Braced Wing (TBW) aircraft concept is a Boeing-developed N+3 aircraft configuration funded by NASA ARMD Fixed Wing Project. This future generation transport aircraft concept is designed to be aerodynamically efficient by employing a high aspect ratio wing design. The aspect ratio of the TBW is on the order of 14 which is significantly greater than those of current generation tra...

An evaluation of computational models is carried out for flight dynamics simulations on low-speed aircraft with very-flexible high-aspect ratio wings. Structural dynamic models include displacement-based, strain-based, and intrinsic (first-order) geometrically-nonlinear composite beams, while thin-strip and vortex lattice methods are considered for the unsteady aerodynamics. It is first shown t...

Enhanced approximate expressions for the incipient indicial lift of thin wings in subsonic potential flow are presented this study, featuring explicit analytical corrections unsteady downwash. Lifting-line and acoustic-wave theories form basis method, within an effective synthesis governing physics, which grants a consistent generalised framework unifies previous works. The perturbation consist...

We consider a data-driven method, which combines Koopman operator theory with Extended Dynamic Mode Decomposition. apply this method to the hypergeometric equation is Fuchsian three regular singular points. The space of solutions at any its points two-dimensional linear vector on field reals when independent variable restricted take values in real axis and unknown function be real-valued variab...

An integrated computational  uid dynamics (CFD) and computational structural dynamics (CSD) method is developed for the simulation and prediction of  utter. The CFD solver is based on an unsteady, parallel, multiblock, multigrid Ž nite volume algorithm for the Euler/Navier–Stokes equations. The CSD solver is based on the time integration of modal dynamic equations extracted from full Ž nite e...

We will introduce a modified system of A-hypergeometric system (GKZ system) by applying a change of variables for Gröbner deformations and study its Gröbner basis and the indicial polynomial along the “exceptional hypersurface”.

Optimum Aerodynamic Design Using CFD and Control Theory