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A Fast Algorithm For Evaluating BEM-based Nearfield Acoustic Holography Transfer Functions
Technical Paper
2003-01-1696
ISSN: 0148-7191, e-ISSN: 2688-3627
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English
Abstract
Formulation of a fast algorithm for evaluating the Nearfield Acoustic Holography (NAH) transfer functions based on boundary integral equations is presented. The new algorithm overcomes some of the well known numerical difficulties exhibited in the traditional Boundary Element Method (BEM) based NAH transfer function formulations such as excessive computational cost, non-uniqueness problem, and regularization of hypersingular integrals. The formulation is based on deriving transfer functions between acoustic field pressure and surface layer potentials using modified Helmholtz/Kirchhoff integral equations. Example problems are analyzed using both traditional and new algorithms. Solution time and NAH reconstruction results are compared to validate and demonstrate the effectiveness of the new algorithm. Finally, the acoustic holography reconstruction is applied for an automotive powerplant.
Authors
Citation
Zhang, Z., Sureshkumar, S., and Raveendra, S., "A Fast Algorithm For Evaluating BEM-based Nearfield Acoustic Holography Transfer Functions," SAE Technical Paper 2003-01-1696, 2003, https://doi.org/10.4271/2003-01-1696.Also In
SAE 2003 Transactions Journal of Passenger Cars - Mechanical Systems
Number: V112-6; Published: 2004-09-15
Number: V112-6; Published: 2004-09-15
References
- Gardner, B. K. Bernhard, R. J. “A noise source identification technique using an inverse Helmholtz Integral Equation Method,” Journal of Vibration, Acoustics, Stress and Reliability in Design 1988 110 84 90
- Veronesi, W. A. Maynard, J. D. “Digital holographic reconstruction of sources with arbitrarily shaped surfaces” J. Acoust. Soc. Am. 85 2 588 598 1989
- Kim, G. T. Lee, B. H. “3-D Sound Source Reconstruction and Field Reproduction Using the Helmholtz Integral Equation” Journal of Sound and Vibration 136 245 261 1990
- Bai, M. R. “Application of BEM (boundary element method)-based acoustic holography to radiation analysis of sound sources with arbitrarily shaped geometries” J. Acoust. Soc. Am. 92 1 533 549 1992
- Kim, B. K. Ih, J. G. “On the reconstruction of the vibro-acoustic field over the surface enclosing an interior space using the boundary element method” J. Acoust. Soc. Am. 100 5 3003 3015 1996
- Raveendra, S. T. Gardner, B. Nejade A. Sureshkumar, S. “An Integrated Experimental/Numerical Noise Source Identification Technique” Proceedings of the International Modal Analysis Conference (IMAC) 1763 1768 February 2000
- Raveendra, S. T. Sureshkumar S. “Noise Source Identification in an Aircraft Using Nearfield Acoustical Holography” Proceedings of the American Institute of Aeronautics and Astronautics Conference , AIAA 2000-2097 June 2000
- Zhang, Z. Vlahopoulos, N. Raveendra, S. T. Allen, T. Zhang, K. Y. “A computational acoustic field reconstruction process based on an indirect boundary element formulation” J. Acoust. Soc. Am. 108 5 2167 2178 2000
- Sureshkumar S. Raveendra S. T. “An analysis of regularization errors in generalized nearfield acoustical holography” SAE 2001NVC-01-1616
- Zhang, Z. Vlahopoulos, N. Allen, T. Zhang, K. Y. “A source reconstruction process based on an indirect variational boundary element formulation” Engineering Analysis with Boundary Elements 25 2001 93 114
- Williams, E. G. Fourier Acoustics: Sound Radiation and Nearfield Acoustical Holography Academic Press London 1999
- Hallman, D. L. Bolton, J. S. “Multi-reference Nearfield Acoustical Holography” Proceedings of INTER-NOISE 92 1165 1170 1992
- Maynard, J. D. Williams, E. G. Lee, Y. “Nearfield Acoustic Holography: I Theory of Generalized Holography and the Development of NAH” Journal of the Acoustical Society of America 78 4 1395 1413 1985
- Williams, E. G. Dardy, H. D. Washburn, K. B. “Generalized Nearfield Acoustical Holography for Cylindrical Geometry: Theory and Experiment” Journal of the Acoustical Society of America 81 2 389 407 1987
- Borgiotti, G. Sarkissian, A. Williams, E. G. “Generalized Nearfield Acoustic Holography for Axisymmetric Geometries” Journal of the Acoustical Society of America 88 199 209 1990
- Sarkissian “A. Nearfield Acoustic Holography for Axisymmetric Geometry: A New Formulation” Journal of the Acoustical Society of America 88 961 966 1990
- Devires, L. A. Bolton, J. S. Lee, J. C. “Acoustical Holography in Spherical Coordinates for Noise Source Identification” NOISE-CON 94 935 940
- Williams, E. G. “On Green Functions for a Cylindrical Cavity” Journal of the Acoustical Society of America 102 3300 3307 1997
- Schenck, H. A. “Improved integral formulation for acoustic radiation problems” J. Acoust. Soc. Am. 44 1 41 58 1968
- Burton, A. J. Miller, G. F. “The application of integral equation methods to the numerical solutions of some exterior boundary-value problems” Proceeding of the Royal Society of London 323 1971 201 210
- Filippi, P. J. T. “Layer Potential and Acoustic Diffraction” Journal of Sound and Vibration 54 4 473 500 1977
- Kirsch, A. An Introduction to the Mathematical Theory of Inverse Problems Springer-Verlag 1996
- Hansen, P. C. Rank-Deficient and Discrete Ill-Posed Problems SIAM Philadelphia 1999
- Banerjee, P. K. Boundary Element Methods in Engineering McGraw Hill London 1994
- Krishnasamy, G. Rizzo, F. J. Rudolphi, T. J. “Hypersingular integral equations: Their occurrence, interpretation, regularization and computation” Advanced Dynamic Analysis By Boundary Element Methods Banerjee, P. K. Kobayashi, S. Elsevier Applied Science 1992
- Wu, T. W. Seybert, A. F. Wan, G. C. “On the numerical implementation of a Cauchy principal value integaral to insure a unique solution for acoustic radiation and scattering” J. Acoust. Soc. Am. 90 554 560 1991
- Wu, T. W. Wan, G. C. “Numerical modeling of acoustic radiation and scattering from thin bodies using a Cauchy principal integration equation” J. Acoust. Soc. Am. 92 2900 2906 1992
- Zhang, Z. Vlahopoulos, N. Allen, T. Zhang, K. Y. “Development and validation of a computational process for pass-by noise simulation” International Journal of Vehicle Design
- COMET/Acoustics User Document Collins & Aikman Corporation Plymouth, Michigan 2003
- Sureshkumar, S. Raveendra, S. T. Quabili, Z. Cheng, M. T. Na, L. Abe, T. “Noise Source Identification in an Automotive Powerplant” SAE 2003NVC-15
- Raveendra, S.T. Gardner, B. K. Stark, R. “An indirect boundary element technique for exterior periodic acoustic analysis” SAE97NV73
- Zhang, Z. “Formulations for acoustic inverse Analysis based on the indirect boundary element method” Ph. D. Thesis Department of Naval Architecture and Marine Engineering, University of Michigan