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Surface decomposition method for near-field acoustic holography.

Nicolas P Valdivia¹, Earl G Williams, Peter C Herdic

¹Code 7130, Naval Research Laboratory, Washington, DC 20375, USA. nicolas.valdivia@nrl.navy.mil

The Journal of the Acoustical Society of America

|July 12, 2012

Summary

Near-field acoustic holography reconstructs acoustic fields using boundary integral equations. A novel surface decomposition method addresses large matrix systems for improved acoustic field reconstruction, even with noisy data.

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Area of Science:

Acoustics
Computational Mechanics
Signal Processing

Background:

Near-field acoustic holography (NAH) reconstructs acoustic fields from pressure measurements.
Traditional NAH methods struggle with large, complex radiating structures.
Noise in measurements can degrade the accuracy of acoustic field reconstruction.

Purpose of the Study:

To develop a robust NAH method for arbitrarily shaped structures.
To overcome computational limitations of large matrix systems in NAH.
To improve the accuracy and stability of acoustic field reconstruction.

Main Methods:

Discretization of boundary integral equations using the equivalent source method.
Application of iterative regularization techniques to handle noisy measurements.
Introduction of a surface decomposition method for large-scale matrix systems.
Validation using numerically generated data and a vibrating ship hull structure.

Main Results:

The surface decomposition method effectively solves large matrix systems in NAH.
Subsurface extensions enhance the continuity of the global acoustic field solution.
The method demonstrates robustness against measurement noise.
Successful application and validation on a physical vibrating ship hull.

Conclusions:

The proposed surface decomposition method is a viable solution for large-scale NAH problems.
This approach enhances the practical applicability of NAH for complex structures.
The methodology provides accurate acoustic field reconstruction even with limited or noisy data.