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Boundary Element Analysis of Acoustic Radiation and Scattering in Half Space Using a Generalized Green’s Function

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Abstract

Conventional half-space boundary element formulation in acoustics is limited to a perfectly rigid or soft boundary condition on the reflecting plane. In this paper, a generalized half-space Green’s function is used in the boundary element formulation so that any locally reacting boundary condition on the reflecting plane can be exactly satisfied. Numerical examples are given to demonstrate this formulation.

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References

  1. Seybert, A. F. and Soenarko, B., “Radiation and scattering of acoustic waves from bodies of arbitrary shape in three-dimensional half space,” ASME Trans. J. Vib. Acoust. Stress Reliab. Design 110. 112 - 117, 1988.

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  2. Skudrzyk, E., The Foundations of Acoustics. New York: Springer-Verlag. Chap. 27, 1971.

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  3. Greenberg, M. D., Application of Green’s Functions in Science and Engineering. Englewood Cliffs, New Jersey: Prentice-Hall, Sec. 6, 1971.

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  4. Moran, J. P., “Image solution for vertical motion of a point source towards a free surface,” 1964 J. Fluid Mechanics Vol. 18, pp. 315 - 320, 1964.

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  5. Li, W. L., Wu, T. W. and Seybert, A. F., “An Accurate Boundary Element Method for Acoustic Problems with a Reflecting Plane of Arbitrary Impedance,” submitted to J. Sound & Vib.

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  6. Beyer, W. H., CRC Handbook of Mathematical Sciences. Boca Raton, Florida: CRC Press, p. 606, 1987.

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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, University of Kentucky, Lexington, KY, 40506, USA

    W. L. Li, T. W. Wu & A. F. Seybert

Authors
  1. W. L. Li
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  2. T. W. Wu
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  3. A. F. Seybert
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Editor information

Editors and Affiliations

  1. Wessex Institute of Technology, University of Portsmouth, Ashurst Lodge, Ashurst, Southampton, SO4 2AA, UK

    C. A. Brebbia

  2. Dept. of mechanical Engineering, University of New Mexico, Albuquerque, NM, 87131, USA

    M. S. Ingber

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© 1992 Computational Mechanics Publications

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Li, W.L., Wu, T.W., Seybert, A.F. (1992). Boundary Element Analysis of Acoustic Radiation and Scattering in Half Space Using a Generalized Green’s Function. In: Brebbia, C.A., Ingber, M.S. (eds) Boundary Element Technology VII. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2872-8_33

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  • DOI: https://doi.org/10.1007/978-94-011-2872-8_33

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-85166-782-6

  • Online ISBN: 978-94-011-2872-8

  • eBook Packages: Springer Book Archive

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