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A generalized spectral-analytical method (GSAM) for analyzing data of various physical nature has been developed. It is based on the generalized Fourier representation of the original experimental and model digital arrays. In this report, it is used in the implementation of a resonant-impedance method for diagnosing and studying the characteristics of mechanical systems (in particular, linear one-dimensional acoustic systems with local anomalies). In the framework of this approach, the anomaly (damage) of the syst...

Direct and inverse problems of propagation of elastic waves in an inhomogeneous soil are considered. Based on the analysis of the vibrational field, the associated tasks of vibrational ecology are solved. These problems arise because of the impact of transport and construction equipment in the city. The propagation of elastic waves in the soil can lead to large levels of vibration on the surface of the earth and create unsatisfactory conditions away from sources. Transport, and especially the subway, have the stro...