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EFFECT OF ROLL ANGULAR VELOCITY ON THE FREE VIBRATION OF SHEAR DEFORMABLE AIRCRAFT WINGS

The influence of the rolling maneuver on the free vibration of swept wings is studied in this article. Non-Classical effects like warping inhibition and transverse shear flexibility are included in the structural model. Within the model developed herein, both static and dynamic instabilities are simultaneously addressed. The governing equations and boundary conditions are determined via Hamiltonʹs Variational Principle, include coupling between the angular velocity of the maneuver and the elastic degrees of freedom. The result partial differential equations are transformed into a set of eigenvalue/ boundary value equations through the extended Galerkin approach and solved by numerical integration. Finally, the results of the numerical simulation and the effects of the rolling angular velocity on the natural frequencies are presented for classic and shear deformable wings. Furtnermore, validations of selected results against the previous publications are supplied. Results are indicative of the significant influence of the rolling maneuver on the natural frequencies and the static instability.