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Sound source reconstruction using inverse boundary element calculations.

Andreas Schuhmacher1, Jørgen Hald, Karsten Bo Rasmussen

  • 1Brüel & Kjaer A/S, Skodsborgvej 307, DK-2850 Naerum, Denmark. schuhmache@bksv.com

The Journal of the Acoustical Society of America
|February 1, 2003
PubMed
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This study reverses acoustic calculations to determine structure vibration from sound data using an inverse boundary element method. The L-curve criterion effectively stabilizes solutions for real-world applications, outperforming generalized cross-validation.

Area of Science:

  • Acoustics
  • Numerical Methods
  • Structural Dynamics

Background:

  • Standard boundary element methods calculate acoustic fields from vibrations.
  • This research addresses the inverse problem: determining vibration from acoustic data.

Purpose of the Study:

  • To develop and validate an inverse boundary element method for vibration reconstruction.
  • To evaluate regularization techniques for ill-posed inverse problems.
  • To assess parameter-choice strategies with real measurement data.

Main Methods:

  • Formulating the inverse problem for solution via inverse boundary element method.
  • Implementing Tikhonov regularization to stabilize solutions.
  • Applying and comparing parameter-choice strategies, focusing on the L-curve criterion.

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Main Results:

  • The inverse boundary element method successfully reconstructs vibration from acoustic data.
  • Tikhonov regularization effectively manages ill-posedness.
  • The L-curve criterion demonstrates robustness with real measurement errors.
  • The L-curve criterion outperforms generalized cross-validation (GCV) in tire noise studies.

Conclusions:

  • The L-curve criterion is a robust and superior method for regularization parameter selection in inverse acoustic problems.
  • This approach is suitable for industrial applications involving real measurement data, such as tire noise analysis.