The effects of the rolling maneuver on the static and dynamic aeroelastic instabilities of a cantilever wing with annexternal store are investigated. The structural model is based on the Goland wing and unsteady aerodynamicnpressure loadings are considered. To accurately consider the spanwise location and properties of the attachednexternal mass, the generalized function theory is used. The aeroelastic governing equations are proposed usingnHamilton’s variational principle and include coupling between the roll angular velocity of themaneuver and thewingnelastic degrees of freedom. The solution to the resulting partial differential equations is followed by an application ofnthe extended Galerkin method. Numerical simulations are validated against the exact flutter speed of the Golandnwing and available theoretical and experimental results. In addition, the effects of the roll angular velocity, sweepnangle, and store mass and location on the wing divergence and flutter are illustrated.
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