The use of partially measured source data in near-field acoustical holography based on the BEM

Kang, Sung‐Chon; Ih, Jeong‐Guon

doi:10.1121/1.428634

Cited by 25 publications

(6 citation statements)

References 10 publications

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“…Veronesi and Maynard first proposed the reconstruction of sources with arbitrarily shaped surfaces by using the boundary element method (BEM) (Veronesi and Maynard, 1989). Since then, some extended studies on the classical BEM theory have emerged (Bai, 1992; Photiadis, 1990; Borgiotti, 1990; Kang and Ih, 2000; Kim and Lee, 1990). Compared to the traditional NAH, NAH based on the BEM is not restricted by the shape of the sound source, and the measurement of sound pressure is not limited.…”

Section: Introductionmentioning

confidence: 99%

Data extrapolation and sound field reconstruction based on the boundary element method

Zhang

Xiao

2022

Journal of Vibration and Control

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Near-field acoustic holography (NAH) based on the boundary element method (BEM) is a powerful tool for noise source identification which is the premise of noise control. For large-scale structures, the measurement aperture should be large enough to ensure that the reconstruction results are accurate. However, the layout of field points often cannot meet the conditions necessary for reliable measurements. The patch NAH methods proposed in previous literature do not explore the influence of the initial and extrapolated aperture on the reconstruction of the vibration velocity. In this paper, the field distribution modes are redefined by the BEM and applied to extrapolation technology. First, the sound pressure of the field points on an expanded hologram is obtained by a data extrapolation method. The expanded data can then be used to reconstruct the vibration velocity of the structure and the sound pressure in the sound field via BEM-based NAH. A modified Tikhonov regularization is utilized in the inverse process. Different sound sources with simple or complex radiated sound fields are used for simulations to explore the influence of the initial and extrapolated aperture on the reconstruction. The application scope of the proposed extrapolation technology is identified and the conclusions are verified by experiments.

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Section: Introductionmentioning

confidence: 99%

Data extrapolation and sound field reconstruction based on the boundary element method

Zhang

Xiao

2022

Journal of Vibration and Control

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“…The FFT-based NAHi sl imited to the separable geometry such as planar,c ylindrical and spherical surface. In order to apply the NAHm ethod to the complicated sources of the non-separable geometries, both boundary element method (BEM)a nd singular value decomposition (SVD)w ere utilized to reconstruct sound field radiated from the source with irregular profile [3,4]. However, the inherent problems of BEMbased NAHc ause difficulties in the numerical calculation.…”

Section: Introductionmentioning

confidence: 99%

The Application of Wave Superposition Algorithm to Identify Cyclostationary Sound Source

Zhang¹,

Jiang²,

Wan³

et al. 2008

Acta Acustica united with Acustica

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The cyclostationary characteristics can not be extracted clearly in reconstruction of the acoustic field radiated from the cyclostationary sources by the conventional near-field acoustic holographyp rocedures. The cyclostationary near-field acoustic holographym ethod uses the cyclic spectrum density function as the reconstruction variance instead of the spectrum or the power spectrum density,which decomposes the carrier wave and modulating wave in the appropriate cyclic frequency. The reconstructed CSD shows the distribution of the modulating wave of cyclostationary sources and supplies more cyclostationary acoustical information than the conventional NAH. In the present work, the theory of the cyclostationary NAHcombined with the wave superposition is introduced, which can be used for the arbitrarily shaped cyclostationary sources. Anumerical simulation and aspeaker experiment are employed to validate this WSA-based cyclostationay NAHmethod. The results of the simulation showg reat agreement between the reconstruction and the analytical value. The distribution of the CSD of the cyclostationary acoustical source on the surface coincides with the speaker box accurately.

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“…11 Analysts often use an abundance of measurement points in an effort to overcome deficiencies with the method. Typically, a large number of measurement points 6,7,12,13 comparable to the number of nodes on the BEM model itself has been used. However, having a large number of measurement points that capture similar information from the source will not help the reconstruction.…”

Section: Introductionmentioning

confidence: 99%

Selecting Measurement Locations to Minimize Reconstruction Error Using the Inverse Boundary Element Method

Martinus¹,

Herrin

Seybert

2007

J. Comp. Acous.

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This paper details an approach to select measurement point locations for the inverse boundary element method. An accurate reconstruction of the vibration requires a well conditioned acoustic transfer matrix, which depends on measurement point selection. Matrix techniques can be used to regularize the solution though they often lead to poor reconstruction rank. A technique to determine the number of measurement points required, and their placement, prior to measurement has been developed using three criteria: uniqueness, completeness, and measurement point density. With this technique, the reconstruction error and the number of measurements can be minimized.

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The use of partially measured source data in near-field acoustical holography based on the BEM

Cited by 25 publications

References 10 publications

Data extrapolation and sound field reconstruction based on the boundary element method

Data extrapolation and sound field reconstruction based on the boundary element method

The Application of Wave Superposition Algorithm to Identify Cyclostationary Sound Source

Selecting Measurement Locations to Minimize Reconstruction Error Using the Inverse Boundary Element Method

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