Mathematical Modelling of a Rotating Nonlinear Flexible Beam-Like Wing

The mathematical modelling of rotating nonlinear flexible beam-like wing with rectangular cross section is investigated here. The structure is mathematically modeled considering linear curvature and clamped-free boundary conditions. The flexible wing has an angle of attack which is considered constant. Nonlinearities resulting from the coupling between the angular velocity of the rotating axis and the transversal vibration of the beam are considered. A drag force and a lift force acting along the beam length are also included in the mathematical model. The drag force is modelled as a turbulent drag effect. The lift force is modeled as a generalized force, using the strip theory. These forces are velocity dependent nonlinear excitations acting on the bean-like wing.