An Inverse Direct Time Domain Boundary Element Method for the Reconstruction of Transient Acoustic Field

Zhang, Yang; Zhang, Xiaozheng; Bi, Chuan‐Xing; Zhang, Yongbin

doi:10.1115/1.4035381

Cited by 20 publications

(6 citation statements)

References 41 publications

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“…where n represents the n-th time step at t n t t The ITBEM formulations can be derived based on Eq. (2), and the detailed derivation can be found in the work of Zhang et al [14]. For concision, the ITBEM formulations are directly given here The equations above can also be reformulated to a more concise form as…”

Section: Theory Of Itbemmentioning

confidence: 99%

“…Many researches on acoustic radiation and scattering problems have been conducted using the TBEM [6][7][8][9][10], and the widely known instability problem of TBEM has also been deeply studied [10][11][12][13]. Recently, an inverse TBEM (ITBEM) was developed for transient sound field reconstruction by Zhang et al [14]. They combined the surface and field time domain integral equations and shifted the time axis of the field integral equation to rule out the retarded time, and then solved the combined equations implicitly in a marching-on-intime (MOT) way.…”

Section: Introductionmentioning

confidence: 99%

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Reconstruction of transient pressure and acceleration over a tire surface using the inverse time domain boundary element method

Zhang

et al. 2019

MATEC Web Conf.

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The inverse time domain boundary element method (ITBEM) that is derived from the direct time domain boundary element method by eliminating the retarded time is able to reconstruct the transient pressure and flux on the surface of an arbitrarily shaped source by measuring the pressure on a hologram surface. In the present work, the ITBEM is applied to reconstruct the transient pressure and acceleration over the surface of a tire which is supported away from the ground in a semi-anechoic chamber. The tire is impacted by a rigid sphere to generate a transient sound field, and the measurement is controlled by a trigger which is connected to an acceleration sensor stuck on the surface of the tire. The pressure and acceleration on the surface of the tire are reconstructed from the holographic pressure measured by array microphones. By visualizing the pressure and acceleration with respect to the elapsed time, the wave propagation phenomenon of the pressure and acceleration on the surface of the tire is shown clearly. The comparison of the reconstructed surface acceleration to the measured one demonstrates the effectiveness of ITBEM for transient sound field reconstruction.

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Section: Theory Of Itbemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Reconstruction of transient pressure and acceleration over a tire surface using the inverse time domain boundary element method

Zhang

et al. 2019

MATEC Web Conf.

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“…Many algorithms have been proposed to improve the accuracy of the sound field reconstruction in NAH, which can be roughly divided into the following categories: the spatial Fourier transform (SFT) method [8][9][10][11], the boundary element method (BEM) [12][13][14][15], the equivalent source method (ESM) [16][17][18][19][20] and the statistically optimal near-field acoustic holography (SONAH). SONAH, a typical patch NAH algorithm proposed by Olsen and Hald [21], uses the linear superposition of the sound pressure or particle velocity on the holographic surface to reconstruct the sound field on the source surface.…”

Section: Introductionmentioning

confidence: 99%

A combined sound field reconstruction method for large cylindrical surfaces using non-conformal plane measurement

Cheng¹,

Han²,

Song³

et al. 2021

Meas. Sci. Technol.

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In practical acoustic measurement for large cylindrical surfaces, it is difficult to keep conformal and coaxial between the holographic surface and the reconstruction surface. To overcome this problem, a combined sound field reconstruction method using non-conformal plane measurement is proposed in this paper. Based on the sound pressure measured on the holographic plane, the combined method first reconstructs the sound field on the cylindrical conformal surface using statistically optimal planar near-field acoustic holography, and then reconstructs the sound field on the cylindrical reconstruction surface using statistically optimal cylindrical near-field acoustic holography. And a least square optimization method is proposed to determine the optimal position of the conformal surface. In addition, to overcome ill-posed problems, an error reduction method combining truncated singular value decomposition and Tikhonov regularization is proposed. Finally, the proposed method is applied to a test bed, and the accuracy and robustness of the sound field reconstruction for large cylindrical surfaces are obviously improved, which can provide reliable evidences for noise monitoring and control of mechanical systems.

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“…Zhang et al. 24 proposed an inverse direct time domain BEM to reconstruct the transient sound pressure radiating from a simplified car model, and 1155 field points were set in the measurement. Noise reconstruction is an ill-posed inverse problem, and enough measurement points are needed to capture sufficient information for accurate reconstruction of the structure surface velocity.…”

Section: Introductionmentioning

confidence: 99%

“…Djamaa et al 23 used a scanning laser vibrometer to measure the velocity of a cylinder with a height of 1.75 m and a diameter of 0.8 m; the measured results of 945 points were then used to localise the sound source inside the cylinder. Zhang et al 24 proposed an inverse direct time domain BEM to reconstruct the transient sound pressure radiating from a simplified car model, and 1155 field points were set in the measurement. Noise reconstruction is an ill-posed inverse problem, and enough measurement points are needed to capture sufficient information for accurate reconstruction of the structure surface velocity.…”

Section: Introductionmentioning

confidence: 99%

Reconstruction of low-frequency bridge noise using an inverse modal acoustic transfer vector method

Song

2018

Journal of Low Frequency Noise, Vibration and Active Control

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Low-frequency noise emitted by elevated viaducts in light rail transit lines has considerable adverse effects on inhabitants living nearby. Reliable prediction of the acoustic field radiating from the viaduct using forward numerical models is challenging because the model parameters that influence viaduct vibration are difficult to obtain. To avoid directly quantifying these parameters, such as wheel–rail combined roughness, an inverse method is presented to reconstruct the acoustic field using modal acoustic transfer vectors and the sound pressures at a small number of measurement points. First, a forward numerical method based on the train–track–bridge interaction analysis is performed to predict the structure-borne noise of a concrete box girder viaduct. Then, the calculated sound pressures are treated as virtual measurement results to illustrate the inverse method procedure. Both QR decomposition and singular value decomposition with Tikhonov regularisation are used in the inverse analysis. Third, the proposed inverse method is validated by comparing the sound pressure levels computed using the inverse method with the results simulated using the forward prediction method. Finally, the reliability of the inverse procedure is further validated through field tests of two U-shaped girder viaducts.

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An Inverse Direct Time Domain Boundary Element Method for the Reconstruction of Transient Acoustic Field

Cited by 20 publications

References 41 publications

Reconstruction of transient pressure and acceleration over a tire surface using the inverse time domain boundary element method

Reconstruction of transient pressure and acceleration over a tire surface using the inverse time domain boundary element method

A combined sound field reconstruction method for large cylindrical surfaces using non-conformal plane measurement

Reconstruction of low-frequency bridge noise using an inverse modal acoustic transfer vector method

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