The Determination of Dispersion Curves from Measurements by the Matrix Pencil Method
In this chapter, we present an application of the Matrix Pencil Method (MPM) to compute dispersion curves from laser vibrometer measurement data. Assuming that only finitely many elementary wave modes contribute to the measured out-of-plane component of the displacement field, this method estimates the number of essential wave modes and simultaneously extracts the frequencies of these modes by computing rank reducing numbers of two Hankel matrices that are built by the measurement data. Since the frequencies depend on the wave vector, it is possible to deduce the dispersion diagrams from them. The performance of the method is demonstrated by means of experimental data.
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