This study demonstrates the practicability of using Resonant Ultrasound Spectroscopy (RUS) in combination with Finite Element Analysis (FEA) as a non-destructive technique for determining the size and location of defects in axisymmetrical samples of known geometry, mass, and elastic constants. Experiments and calculations were conducted on steel samples with thin cuts of different lengths and locations. Frequency spectra measured by RUS were found to match closely the frequency spectra calculated by FEM for the steel specimens before and after the introduction of the thin cut. Analyses of the series of FEM-generated frequency spectra showed some patterns in resonant frequency shifts as a function of the size and location of the thin cut. Therefore, based on the analysis of sufficient number of FEA models, it was possible to develop a methodology for determining sizes and locations of defects in examined objects from the resonant frequencies measured by RUS with a high accuracy that does not exceed 2% for the length of defects and 5% for their location.
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