Flutter Suppression for Damaged High-Aspect-Ratio Wings: Implementation in Abaqus

An Abaqus implementation of a flutter suppression control system for a joined three-dimensional (3D)/one-dimensional (1D) finite element model of damaged high-aspect-ratio wings is presented. By doing so, one can exploit the modeling, solution, and postprocessing capabilities of Abaqus in aeroservoelastic analysis and design. To benefit from the computational efficiency of 1D modeling and the accuracy of 3D finite element analysis, a small area close to the boundary is modeled as a full 3D continuum and the rest of the beam is modeled as a 1D beam model. A geometrically exact beam model is then coupled with a two-dimensional finite-state unsteady aerodynamic theory and has been coded into a nonlinear UEL for Abaqus. A test case is presented in which the reduced-order model is exploited to design a flutter suppression control system in a linear-quadratic-Gaussian framework. The controller is also coded into Abaqus as a UAMP user subroutine and its performance is evaluated through nonlinear time simulation.