Use of nonsingular boundary integral formulation for reducing errors due to near-field measurements in the boundary element method based near-field acoustic holography

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In the conformal near-field acoustic holography (NAH) using the boundary element method (BEM), the transfer matrix relating the vibro-acoustic properties of source and field depends solely on the geometrical condition of the problem. This kind of NAH is known to be very powerful in dealing with the sources having irregular shaped boundaries. When the vibro-acoustic source field is reconstructed by using this conformal NAH, one tends to position the sensors as close as possible to the source surface in order to get rich information on the nonpropagating wave components. The conventional acoustic BEM based on the Kirchhoff-Helmholtz integral equation has the singularity problem in the close near field of the source surface. This problem stems from the singular kernel of the Green function of the boundary integral equation (BIE) and the singularity can influence the reconstruction accuracy greatly. In this paper, the nonsingular BLE is introduced to the NAH calculation and the holographic BIE is reformulated. The effectiveness of nonsingular BEM has been investigated for the reduction of reconstruction error. Through interior and exterior examples, it is shown that the resolution of predicted field pressure could be improved in the close near field by employing the nonsingular BLE. Because the BEM-based NAH inevitably requires the held pressure measured in the close proximity to the source surface, the present approach is recommended for improving the resolution of the reconstructed source field. (C) 2001 Acoustical Society of America.
Publisher
AMER INST PHYSICS
Issue Date
2001-04
Language
English
Article Type
Article
Keywords

RECONSTRUCTION; BEM; NAH

Citation

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, v.109, no.4, pp.1320 - 1328

ISSN
0001-4966
URI
http://hdl.handle.net/10203/84871
Appears in Collection
ME-Journal Papers(저널논문)
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