arXiv subjects

Richard Buessow

Publications and source records attributed to Richard Buessow.

3 recordsLinked to original sources

arXiv2007

An Algorithm for the Continuous Morlet Wavelet Transform

This article consists of a brief discussion of the energy density over time or frequency that is obtained with the wavelet transform. Also an efficient algorithm is suggested to calculate the continuous transform with the Morlet wavelet. The energy values of the Wavelet transform are compared with the power spectrum of the Fourier transform. Useful definitions for power spectra are given. The focus of the work is on simple measures to evaluate the transform with the Morlet wavelet in an efficient way. The use of the transform and the defined values is shown in some examples.

physics.data-an↗

arXiv2007

Bending Wavelet for Flexural Impulse Response

The work addresses the definition of a wavelet that is adapted to analyse a flexural impulse response. The wavelet gives the opportunity to directly analyse 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 to extract the dispersion characteristics with the use of genetic algorithms is outlined. The application of the wavelet is shown in an example and experiment.

physics.data-an↗

arXiv2007

Applications of the Flexural Impulse Response Functions in the Time Domain

This work addresses the response functions for infinite beams and plates with a force excitation at the origin of the coordinate system and its application to time reversal and time frequency analysis. The response function for Euler-Bernoulli beams is derived and for plates revisited. Interpretation concerning energy conservation and mobility are given. An possible alternative method to measure the coupling loss factors in SEA is sketched. \\ The impulse response of a finite beam is measured in an experiment and compared with that predicted theoretically. The experimental data before the first reflection of the pulse showed good agreement with the theory. The response function is used to simulate a time reversed pulse. This numerical simulation is verified with an experiment.

physics.class-ph↗