Bending wavelet for flexural impulse response

Abstract

The work addresses the definition of a wavelet that is adapted to analyze a flexural impulse response of a beam or plate that can be modeled with the Euler–Bernoulli bending theory. The wavelet gives the opportunity to directly analyze the dispersion characteristics of a pulse. The aim is to localize a source or to measure material parameters. An overview of the mathematical properties of the wavelet is presented. An algorithm for the optimal extraction of the dispersion characteristics with the use of genetic algorithms is outlined. The application of the wavelet is shown in an example and experiment.