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State-Space Representation Of The Unsteady Aerodynamics Of Flapping Flight, Haithem E. Taha, Muhammad R. Hajj, Philip S. Beran
State-Space Representation Of The Unsteady Aerodynamics Of Flapping Flight, Haithem E. Taha, Muhammad R. Hajj, Philip S. Beran
U.S. Air Force Research
A state-space formulation for the aerodynamics of flapping flight is presented. The Duhamel's principle, applied in linear unsteady flows, is extended to non-conventional lift curves to capture the LEV contribution. The aspect ratio effects on the empirical formulae used to predict the static lift due to a stabilized Leading Edge Vortex (LEV) are provided. The unsteady lift due to arbitrary wing motion is generated using the static lift curve. Then, state-space representation for the unsteady lift is derived. The proposed model is validated through a comparison with direct numerical simulations of Navier-Stokes on hovering insects. A comparison with quasi-steady models …