Special Issue on Boundary Element Methods; Guest Editors: S. Marburg and B. NolteNo Access

RECONSTRUCTION OF SOUND SOURCES BY MEANS OF AN INVERSE BOUNDARY ELEMENT FORMULATION

BODO NOLTE

Federal Armed Forces, Underwater Acoustics and Marine Geophysic, Research Institute, Klausdorferweg 2-24, D-24148 KIEL, Germany

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https://doi.org/10.1142/S0218396X05002608Cited by:5 (Source: Crossref)

Abstract

The self-developed Boundary Element code BEMCUP-3D solves structural-dynamic and acoustic problems as well as fluid-structure-interaction-phenomena in the frequency domain. Attainable outputs of this program are e.g. the system matrices. The inverse acoustic problem (sound source identification) is considered without inversion of matrices. The envelope surface (measurement surface), which encloses the entire arbitrarily shaped sound source, is treated as an exterior problem. The Dirichlet data on this surface or boundary are given from the proper sound pressure distribution of the sound source, which is also an exterior problem. This ensures that the corresponding velocity values on the measurement surface are exactly the same for both problems. Next the region between the sound source (an arbitrarily vibrating structure) and the envelope surface (a measurement surface in experimental investigations) is treated as an interior problem. The boundary conditions on the outer surface (measurement surface) for this problem are of Dirichlet type and the already available Neumann data, the sound pressure and the velocity distributions. An algorithm makes sure that after solving the unknown sound pressure and velocity values of the sound source are situated in the solving vector. Simple sound sources enable to investigate the stability, an optimal shape and an optimal position of the measurement surface.

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