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

The Journal of the Acoustical Society of America
S C Kang, Jeong-Guon Ih

Abstract

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 BIE 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 th...Continue Reading

References

Jun 1, 2000·The Journal of the Acoustical Society of America·S C Kang, J G Ih

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Citations

Feb 1, 2003·The Journal of the Acoustical Society of America·Andreas SchuhmacherPer Christian Hansen
Mar 6, 2004·The Journal of the Acoustical Society of America·Kenji Saijyou, Hiroshi Uchida
Mar 27, 2003·The Journal of the Acoustical Society of America·Earl G Williams
Sep 30, 2003·The Journal of the Acoustical Society of America·Earl G WilliamsPeter C Herdic
Jul 27, 2002·The Journal of the Acoustical Society of America·Sean F Wu, Xiang Zhao
Jul 31, 2009·The Journal of the Acoustical Society of America·Yong-Bin ZhangXin-Zhao Chen
Sep 11, 2009·The Journal of the Acoustical Society of America·Yong-Bin ZhangXin-Zhao Chen
Aug 17, 2012·The Journal of the Acoustical Society of America·Mingsian R BaiShen-Wei Juan
Jun 8, 2007·The Journal of the Acoustical Society of America·Kenji Saijyou
Dec 3, 2008·The Journal of the Acoustical Society of America·Sean F Wu
Jun 4, 2019·The Journal of the Acoustical Society of America·Chuan-Xing BiLiang Xu

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