An Algebraic Wavenumber Identification (AWI) technique under stochastic conditions

This paper presents an inverse Algebraic Wavenumber Identification (AWI) technique for multi-modal 1D-periodic structures, which can extract complex wavenumbers from steady-state vibration measurements under stochastic conditions. These wave dispersion characteristics provide valuable vibroacoustic indicators model updating, damage monitoring in operational conditions, or metamaterial design. extraction techniques are highly sensitive to noisy measurements, nonuniform sampling points, geometrical uncertainties. The proposed formulation relies on algebraic parameters identification enable the of four scenarios: (a) low Signal Noise Ratio; (b) small perturbation caused by uncertainties points’ coordinates; (c) unknown structural periodicity; (d) sampling. AWI is compared with Inhomogeneous Wave Correlation (IWC) method and INverse COnvolution MEthod (INCOME) assess robustness accuracy method.