Power spectral density (PSD) technique in damage detection

A damage detection method was implemented for a simply supported beam structure. The analytical model was compared to experimental results. The theoretical model was obtained from an energy formulation of the problem using the Rayleigh-Ritz method to obtain the equation of motion. Matrices were composed in a State Space model to reproduce the input-output system between actuator and sensor. The damage was modeled with material property variations in a small section of the beam. The experimental set up consisted of an aluminum beam with damage introduced by adding different weights in various locations. Two piezoelectric patches were used to provide the dynamical excitation and output the response. The dynamic changes were investigated and compared with theoretical predictions with good agreement obtained. The Power Spectral Density (PSD) approach was used to obtain information related to the size of damage. The analysis resulted independent of damage location.

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