Abstract :
[en] A method is presented to model the incompressible, attached, unsteady lift and pitching
moment acting on a thin three-dimensional wing in the time domain. The model is based on
the combination of Wagner theory and lifting line theory through the unsteady Kutta–Joukowski
theorem. The results are a set of closed-form linear ordinary differential equations that can be solved
analytically or using a Runge–Kutta–Fehlberg algorithm. The method is validated against numerical
predictions from an unsteady vortex lattice method for rectangular and tapered wings undergoing
step or oscillatory changes in plunge or pitch. Further validation is demonstrated on an aeroelastic
test case of a rigid rectangular finite wing with pitch and plunge degrees of freedom.
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