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On the presence of internal resonances in aeroelastic systems

Herein, the authors examine the presence of internal resonance in aeroelastic structures, and illustrate the pathologies that internal resonance may have on these systems. These studies consider an aeroelastic model which possesses nonlinear aerodynamic loads such as those that arise from aerodynamic stall. Analyses of the equations of motion representing a physical aeroelastic structure are presented. The aerodynamics are in quasi-steady form and implement stall effects which introduce strong cubic nonlinearities into the equations of motion. These nonlinearities lead to a 3:1 internal resonance.