Modeling Curvature Damage Surface For Damage Detection In Cantilever Beam

A damage detection method is presented for the identification and quantification of damage. The proposed method uses finite element method to extract modal parameters of cracked and intact cantilever beam. The damage is simulated by fracture mechanics concept by introducing cracked elements at different locations with predetermined magnitude of depth. The curvature response function, function of crack location and size, are approximated by means of polynomial surface fitting. The numerical data obtained is meshed using B-spline. The algorithm based on curvature, Wavelet Transform and surface fitting technique is proposed for damage detection. Cubic fit and quadratic fit are used for function generation and three dimensional plots. Number of numerical examples is presented to demonstrate the accuracy of the proposed methodology.