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A new integral equation formulation for an axisymmetric structure.

A Sarkissian1

  • 1Naval Research Laboratory, Washington, DC 20375-5000.

The Journal of the Acoustical Society of America
|October 1, 1990
PubMed
Summary

A novel computational method accurately determines acoustic fields outside structures using surface velocity data. This technique efficiently calculates sound scattering and pressure distributions for complex shapes.

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Area of Science:

  • Acoustics
  • Computational Mechanics
  • Numerical Analysis

Background:

  • Accurate computation of acoustic fields is crucial for understanding sound propagation and scattering phenomena.
  • Existing methods may face limitations in efficiency or applicability to complex geometries.

Purpose of the Study:

  • To develop a new, efficient method for computing the acoustic field outside axisymmetric structures.
  • To utilize surface normal velocity data for acoustic field prediction.

Main Methods:

  • Expansion of surface pressure and normal velocity in orthonormal series.
  • Application of the Helmholtz integral equation for field computation.
  • Utilizing specific boundary conditions at vanishing frequency.

Main Results:

  • A new computational method for external acoustic fields is successfully developed.
  • The method demonstrated rapid series convergence when applied to a rigid cylinder with hemispherical endcaps.
  • Accurate acoustic field computation from surface normal velocity was achieved.

Conclusions:

  • The developed method provides an efficient and accurate approach for acoustic field computation.
  • The technique is particularly suitable for axisymmetric structures.
  • Rapid convergence suggests practical applicability for complex acoustic problems.

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