Abstract
In this paper, an aeroelastic formulation is developed to analyze aeroelastic behavior of flexible airfoils with arbitrary camber deformations. The camberwise bending deformation of flexible airfoils, described by using the orthogonal Legendre polynomials, is considered in addition to traditional rigid-body plunging and pitching motions. The complete set of aeroelastic equations of motion is derived by following Hamilton’s principle, where a two-dimensional finite-state unsteady aerodynamic theory is applied to calculate the aerodynamic loads of flexible airfoils with both rigid-body motions and arbitrary camber deformations. The finite-state aerodynamic theory is also modified to involve magnitudes of the Legendre polynomials in the aerodynamic load equations. The aeroelastic equations, featuring rigid-body motions and camber deformation magnitudes as independent degrees of freedom, may facilitate the analysis of camber effects on aeroelastic characteristics of flexible airfoils. Numerical studies of this paper validate the developed aerodynamic and aeroelastic formulations by comparison with other published research and computational results. Finally, the impacts of camber flexibility on static and dynamic aeroelastic characteristics of flexible airfoils are explored.
Published Version
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