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Interaction between wave number pairs for a capped cylinder

Ille1, Ginsberg

  • 1GW Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta 30332-0405, USA.

The Journal of the Acoustical Society of America
|June 1, 2000
PubMed
Summary

Computational efficiency in acoustic-structure interaction analysis using the surface variational principle (SVP) can be improved by omitting small impedance terms. Ignoring subsonic waves works for most cases, but not for axisymmetric components where they are crucial for accurate radiated power prediction.

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Area of Science:

  • Acoustics
  • Computational Mechanics
  • Structural Dynamics

Background:

  • The surface variational principle (SVP) is computationally intensive for acoustic-structure interaction analysis.
  • Wet-surface impedance calculations involve numerous cross-impedance terms, many of which are negligible.

Purpose of the Study:

  • To develop criteria for omitting small impedance terms in SVP analysis to reduce computational cost.
  • To assess the impact of omitting specific wave numbers on the accuracy of acoustic-structure interaction predictions.

Main Methods:

  • Introduced a priori criteria for selecting impedance terms based on the supersonic cutoff wave number.
  • Compared predictions from truncated SVP schemes against a convergent SVP solution.
  • Analyzed the influence of subsonic waves on radiated power for different harmonic components.

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Main Results:

  • Nonsymmetric azimuthal harmonics are accurately predicted by ignoring subsonic waves.
  • Axisymmetric components show significant errors (≥6 dB) in radiated power when subsonic waves are omitted.
  • Substantial radiation contributions can arise from interactions involving subsonic waves in the axisymmetric case.

Conclusions:

  • Truncation schemes based on omitting small impedance terms can significantly reduce computational effort in SVP.
  • The inclusion of subsonic waves is critical for accurate radiated power prediction in the axisymmetric component of acoustic-structure interaction.
  • Even small interactions between subsonic waves can lead to considerable radiation in the high wave number spectrum for axisymmetric cases.