Application of BEM (boundary element method)-based acoustic holography to radiation analysis of sound sources with arbitrarily shaped geometries

Bai, Mingsian R.

doi:10.1121/1.404263

Cited by 276 publications

(100 citation statements)

References 12 publications

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“…This method consists on solving the BEM equations for one unknown boundary parameter at a time. In addition, truncation of some singular values (known as truncated-SVD or T-SVD [8,12,13],) is done to reduce the sensitivity to noise. This approach is briefly discussed here for the purpose of comparisons in further numerical examples.…”

Section: Estimation Of the Acoustic Impedancesmentioning

confidence: 99%

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On the in situ estimation of surface acoustic impedance in interiors of arbitrary shape by acoustical inverse methods

Nava

Yasuda

Sato

et al. 2009

Acoust. Sci. & Tech.

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A method for in situ estimation of the acoustic impedance of surfaces in interiors is introduced in this paper. The key difference with traditional in situ measurement techniques is the use of an inverse acoustic boundary framework which allows us to overcome some geometry constraints from previous methods (such as the planar-surface requirement and placement of microphone arrays). Furthermore, estimation of the acoustic impedance of not only one but all the surfaces is possible provided that local reaction is the predominant effect, and the following parameters are known: geometry of the surfaces, sound pressure at a number of arbitrary points in the interior field and the strength of the sound source. The estimation of the acoustic impedance at each surface is achieved by the solution of an optimization problem formulated from the linear equations of the boundary element method (BEM) applied to the discretized interior boundaries of an interior space. Previous work on similar methods have reported examples with numerical simulations. The work in this paper goes further and numerical examples together with results obtained with experimental data are presented.

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Section: Estimation Of the Acoustic Impedancesmentioning

confidence: 99%

“…The near-field acoustic holography (NAH) is the most representative technique in this context (e.g. [7][8][9]). On the other hand, scarce work in this context has been done for the in situ measurement of acoustic impedance.…”

Section: Introductionmentioning

confidence: 99%

On the in situ estimation of surface acoustic impedance in interiors of arbitrary shape by acoustical inverse methods

Nava

Yasuda

Sato

et al. 2009

Acoust. Sci. & Tech.

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“…In order to take into account the evanescent field, the hologram surface on which measurements are taken must be very close to the source surface, within one-half wavelength [14].…”

Section: Other Holographic Reconstruction Techniquesmentioning

confidence: 99%

“…Inverse numerical acoustics techniques using both the direct and indirect boundary element methods have been investigated previously [3][4][5][6][7][8][9]. In INA, the goal is to solve for the surface normal velocities using measured field point sound pressures.…”

Section: Introductionmentioning

confidence: 99%

Surface Vibration Reconstruction using Inverse Numerical Acoustics

Martinus¹,

Herrin²,

Seybert³

2003

itbj.eng.sci.

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Abstract. This paper explores the use of inverse numerical acoustics to reconstruct the surface vibration of a noise source. Inverse numerical acoustics is mainly used for source identification. This approach uses the measured sound pressure at a set of field points and the Helmholtz integral equation to reconstruct the normal surface velocity. The number of sound pressure measurements is considerably less than the number of surface vibration nodes. An overview of inverse numerical acoustics is presented and compared with other holography techniques such as nearfield acoustical holography and the Helmholtz equation least squares method. In order to obtain an acceptable reproduction of the surface vibration, several critical factors such as the field point selection and the effect of experimental errors have to be handled properly. Other practical considerations such as the use of few measured velocities and regularization techniques will also be presented. Examples will include a diesel engine, a transmission housing and an engine cover.

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“…1 Earlier work presented the basic concept of using BEM ͑mainly the direct formulation͒ in reconstruction problems for setting up a transfer matrix, while the singular value decomposition ͑SVD͒ routine is part of the matrix inversion. [2][3][4] More recent work also deals with the reconstruction process based on indirect BEM for selecting optimum field points from a set of candidates. 5 Applications involving inverse source problems based on BEM can be found, for example, within the automotive and aerospace industry.…”

Section: Introductionmentioning

confidence: 99%

Sound source reconstruction using inverse boundary element calculations

Schuhmacher¹,

Hald²,

Rasmussen

et al. 2003

The Journal of the Acoustical Society of America

129

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Whereas standard boundary element calculations focus on the forward problem of computing the radiated acoustic field from a vibrating structure, the aim in this work is to reverse the process, i.e., to determine vibration from acoustic field data. This inverse problem is brought on a form suited for solution by means of an inverse boundary element method. Since the numerical treatment of the inverse source reconstruction results in a discrete ill-posed problem, regularization is imposed to avoid unstable solutions dominated by errors. In the present work the emphasis is on Tikhonov regularization and parameter-choice methods not requiring an error-norm estimate for choosing the right amount of regularization. Several parameter-choice strategies have been presented lately, but it still remains to be seen how well these can handle industrial applications with real measurement data. In the present work it is demonstrated that the L-curve criterion is robust with respect to the errors in a real measurement situation. In particular, it is shown that the L-curve criterion is superior to the more conventional generalized cross-validation ͑GCV͒ approach for the present tire noise studies.

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Application of BEM (boundary element method)-based acoustic holography to radiation analysis of sound sources with arbitrarily shaped geometries

Cited by 276 publications

References 12 publications

On the in situ estimation of surface acoustic impedance in interiors of arbitrary shape by acoustical inverse methods

On the in situ estimation of surface acoustic impedance in interiors of arbitrary shape by acoustical inverse methods

Surface Vibration Reconstruction using Inverse Numerical Acoustics

Sound source reconstruction using inverse boundary element calculations

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