In the analysis of flutter of fixed-wing aircraft, it is common to use the "p-k" method in which one iterates on the reduced frequency of the Theordorsen aerodynamic theory based on the Imaginary part of the eigenvalue. However, this process only is correct when the real part of the eigenvalue is zero (i.e., at the stability boundary) because Theodorsen assumes simple harmonic motion. In this paper, we investigate the accuracy of this method for eigenvalues away from the stability bound by replacing the Theodorsen function C(k) with its aerodynamic counterpart for growing or decaying motion. We then study the accuracy of the p-k method as compared to an exact representation.
Mechanical Engineering and Material Sciences Independent Study
Date of Submission
Park, Steve, "Effect of Laplace-Domain Theodorsen Function on the Aeroelasticity of Typical Sections" (2021). Mechanical Engineering and Materials Science Independent Study. 158.