Forward projection of transient sound pressure fields radiated by impacted plates using numerical Laplace transform.
Forward propagation of the transient sound pressure radiated by an impacted plate is presented. It is shown that direct and inverse time domain discrete Fourier transforms, involved in Fourier transform based near-field acoustical holography (NAH), lead to aliasing errors in the reconstructed time signals. Adding trailing zeros to the initial time signals is an inefficient way to reduce time aliasing errors. Hence, the numerical Laplace transform is introduced and a Fourier transform based transient NAH (TNAH) approach is formulated. An error measure is introduced to compare both NAH and TNAH with respect to the propagation distance and the location of the observation point in the projection plane. The percentage of error with TNAH is reduced by more than a factor of 10 without adding trailing zeros to the initial signals. Simulation results are validated experimentally using a free Plexiglas plate impacted at its center.
Department of Mechanical Engineering, CREPEC, Ecole Polytechnique de Montreal, CP 6079 Station Centre-ville, Montreal, Quebec H3C 3A7, Canada.
Jean-François
JF
Blais
Annie
A
Ross