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A recently developed modal-based method that captures the geometric nonlinear ef-\udfects that arise in the regime of large deformations of wing-like structures is applied to\udthe modeling of a highly flexible beam structure and a 3D wingbox configuration. The\udmethod features quadratic and cubic stiffness terms and calculates the nodal deformation\udfield not only by normal modes but also by additional mode components up to fourth or-\udder. Thus, both a nonlinear force-displacement relationship and a geometrically nonlinear\uddisplacement field are accounted for. Static and dynamic results for the two configurations\udare presented together with results from a commercial finite element solver and from the\udUM/NAST aeroelastic solver from the University of Michigan. The numerical study high-\udlights the capability of the method to capture the nonlinear effects and demonstrates its\udpower to model a 3D wingbox structure made of shell elements with anisotropic material\udcharacteristics

Large Deformation Modeling of a Beam Type Structure and a 3D Wingbox using an Enhanced Modal Approach