مقايسه‌ي آيروديناميك پيترز و تيودورسون در تعيين مرزهاي ناپايداري آيرواالستيك‌

COMPARISON OF THE PETER AND THEODORSON AERODYNAMICS IN DETERMINATION OF AEROELASTIC INSTABILITY AEROELASTIC INSTABILITY

In this st udy, the in stability boundary of a wing - in th e incompressible flow regime has been consider ed, using Pet er ʹs aerodynamics, and compared with the result obtained from th e Theodorsou aerodynamic. To this aim, the lift coefficient, based on P et er ʹs theory in the frequen cy domain , is obtained , at first , for a pure plun ging motion. Then , real and imaginary parts of the lift and moment are plotted versus redu ced frequency and compared with tho se from the Theodorson aerodynami c. It can be seen th at , with a fewer number of aerodynamic states in Pet er ʹs th eory (N=5) , th ere will be good agreement between the two theories. In addit ion, equa tions corre sponding to mass, stiffn ess and damping matrices from Pet er ʹs th eory have been obtaiu ed. To do thi s, two models, including a typical sect ion and beam, are used for st ructural modeling. Finally, the flutter boundary is det ermined using p - k and p methods and the results compared with those from the Theodorson aerodynamic. Results show good agreement between th e two theories