Develop frequency-domain versions of the SVPM and VPM techniques. Replace the wake model by the one used in Example 4 .8. Compare the frequency responses of the aerodynamic loads of a pitching and plunging airfoil to those obtained from the time-domain versions.

Data from Example 4.8

Calculate the aerodynamic loads acting on a sinusoidally pitching and plunging flat plate using the frequency domain version of the lumped vortex method. Compare the resulting aerodynamic load predictions to those of Theodorsen theory.