Abstract

The objective of this investigation is to present proper signal processing techniques to analyze nonlinear aeroelastic time series where limit cycle oscillations and chaotic motions may occur. A powerful method to study nonlinear aeroelastic behavior of aircraft structures is the phase-space reconstruction technique. In the reconstruction process, the mutual information function and the percentage of false neighbors methods are used to estimate the time-delay and the dimension of the attractor, respectively. The dynamics of the system is then determined from the Lyapunov exponents. A method of estimating frequency and damping values of the aeroelastic system from the reconstructed phase-space is also presented. Examples are given for a two-dimensiona l airfoil oscillating in pitch and plunge with either a bilinear or a cubic spring nonlinearity in one of the degrees of freedom.

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