TY - JOUR
T1 - State-space representation of the unsteady aerodynamics of flapping flight
AU - Taha, Haithem E.
AU - Hajj, Muhammad R.
AU - Beran, Philip S.
PY - 2014/4
Y1 - 2014/4
N2 - 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 that capture the LEV contribution is also performed to assess the role of unsteadiness. Similarly, a comparison with classical unsteady approaches is presented to assess the LEV dominance. Finally, a reduced-order model that is more suitable for flight dynamics and control analyses is derived from the full model.
AB - 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 that capture the LEV contribution is also performed to assess the role of unsteadiness. Similarly, a comparison with classical unsteady approaches is presented to assess the LEV dominance. Finally, a reduced-order model that is more suitable for flight dynamics and control analyses is derived from the full model.
KW - Aspect ratio effects
KW - Duhamel's principle
KW - Flapping flight
KW - Indicial response
KW - Leading Edge Vortex
KW - Unsteady aerodynamics
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U2 - 10.1016/j.ast.2014.01.011
DO - 10.1016/j.ast.2014.01.011
M3 - Article
AN - SCOPUS:84897502175
SN - 1270-9638
VL - 34
SP - 1
EP - 11
JO - Aerospace Science and Technology
JF - Aerospace Science and Technology
IS - 1
ER -