Aeroelasticity
Aeroelasticity
Consider a 2D rigid and symmetric aerofoil with chord c, attached to a nonlinear torsional spring at a distance ec aft of the aerodynamic centre (quarter chord) as shown in the figure. The lift curve slope of the airfoil is Cla. The aerofoil has an initial incidence of , and twists through an unknown angle 8 owing to aerodynamic loading. The restoring moment developed by the nonlinear torsional spring is given by, M = KOP (a) Derive the equation of motion for static equilibrium. [12] (b) Now let root incidence be equal to zero. If p is an odd number, how many solutions for static equilibrium exist? Express the equilibrium solutions for 0 in к terms of the static divergence speed qdiv = ecata [8] (Hint: The potential energy in a spring is given by U = 5 Mdo where M is the restoring moment) Lift 140 Nonlinear spring во ес
Aeroelasticity Aeroelasticity
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