Efficient acoustic calculations by the BEM and frequency interpolated transfer functions

Estorff, Otto von; Zaleski, Olgierd

doi:10.1016/s0955-7997(03)00023-7

Cited by 18 publications

(7 citation statements)

References 1 publication

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“…, J E , J E presents the number of elements). The coordinates x m (m = 1, 2, 3), pressure p, normal velocity v n of one point on an element can be interpolated by those values of nodal points of this element with a set of shape functions in a local coordinate system ξ 1 oξ 2 : (8) where N l (ξ 1 , ξ 2 ) (l = 1 ∼ L) is the shape function, L is the number of nodal points on the element, −1 ≤ ξ 1 , ξ 2 ≤ 1 are the local coordinates. For node I, the boundary integral equation is discretized as…”

Section: Boundary Element Methods In Acousticsmentioning

confidence: 99%

“…Based on the initial work of Benthien, some further investigations on the FIT were conducted, such as the quadratic isoparametric elements, 4,5 quadratic interpolation 6 and the interpolation algorithm based on the Krylov surface subspace projection. 7 Moreover, Estorff et al 8 developed an improved FIT, in which the acoustic transfer function was firstly computed at some master frequencies and then the other ATF (Acoustic Transfer Function) values at the slave frequencies were interpolated through a special source technique. After that, an adaptive cross approximation algorithm combined with the Fourier method was also presented to accelerate the multi-frequency calculation.…”

Section: Introductionmentioning

confidence: 99%

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An Improved Series Expansion Method to Accelerate the Multi-Frequency Acoustic Radiation Prediction

Zhang

Mao

et al. 2015

J. Comp. Acous.

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Multi-frequency calculation is usually very time-consuming due to the repeated numerical integration for numerous frequencies in acoustic scattering or radiation problems. A series expansion method has been proposed to speed up this process just by taking the frequency-dependent terms out of the integral sign. However, this method, constrained by the number of truncation terms, is only applicable to low and medium frequencies and/or small-size structures. This paper develops an improved series expansion method that can be employed in a wider frequency band and larger-scale problems but with less computing expense. In the present method, the frequency-dependent term kr in the integral kernel is firstly transformed into the range from −π to π due to the periodicity of sine and cosine functions. Afterwards, truncation error would be kept reasonably small while the number of expansion terms would not increase with kr. Test cases of acoustic radiation from a pulsating sphere and a cat's eye structure are conducted and numerical results show significant reduction of computational time but suffering little accuracy loss for multi-frequency problems with this approach.

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Section: Boundary Element Methods In Acousticsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An Improved Series Expansion Method to Accelerate the Multi-Frequency Acoustic Radiation Prediction

Zhang

Mao

et al. 2015

J. Comp. Acous.

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“…20 60 Statistical Energy Analysis [32] Janssens & Thompson [8] TWINS NORBERT Bewes Thompson [33] [34] C. [36] 1 2 3 4 [37] ANSYS [24] ANSYS SYSNOISE D. [25,38,39] [40] [41] Helmholtz [39,[42][43][44][45] [ 39,[46][47] Helmholtz Helmholtz Galerkin [39] [42] [26,45] [ 44,48] [ [42][43][44][45]48] [49] [50] Ansys Sysnoise…”

Section: Bmentioning

confidence: 99%

Survey on predicting and controlling of structure-borne noise from rail transit bridges

Han

2011

2011 International Conference on Electric Technology and Civil Engineering (ICETCE)

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“…Modal parameters and modal participation factors of structural modes were then used to calculate the sound pressure at a field point. The details of ATV and MATV can be found in literature 8,10 . The field point used in this analysis was at the center of the cavity and 1.0 meter below the top surface of the joint: this point was equivalent to the measurement location for sound pressure in the impact testing experiment.…”

Section: Boundary Element Analysis Of Acoustic Fieldmentioning

confidence: 99%

Vibro-acoustic analysis of noise generation from a full scale model of modular bridge expansion joint

Ghimire¹,

Matsumoto²,

Yamaguchi³

2008

Noise Control Eng. J.

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Noises generated from modular bridge expansion joints during vehicle pass-bys have been causing local environmental problems recently. Previous experimental studies showed that possible causes of dominant noise components generated from the bottom side of the joint might be different from those from the top side. The objective of this study was to obtain theoretical insights into the mechanism of noise generation from the bottom side of the joint for which a main noise source might be structural vibration of the joint. Vibro-acoustic analysis was conducted based on the information from a full-scale model of modular expansion joint obtained in previous experimental studies. The dynamic behavior of the joint model was investigated by using the finite element method (FEM) and the sound field inside the cavity located beneath the joint model was analyzed by using the boundary element method (BEM). Indirect BEM was used to calculate the sound pressure inside the cavity with the velocity response obtained by the FE analysis as a boundary condition. The frequency range considered in the analysis was 20-400 Hz where dominant frequency components were observed in the noise measured in the cavity beneath the joint in the previous experiment. It was intended to interpret numerical results obtained by a model developed with available mechanical properties of the joint components to seek a general understanding of the noise generation mechanism of the modular expansion joint. It was observed that the peaks in the spectrum of noise inside the cavity were due to resonances of structural vibration modes of the joint and/or resonances of acoustic modes of the cavity. There was evidence that showed possible interaction between structural modes of the joint and the acoustic modes of the cavity. © 2008 Institute of Noise Control Engineering.

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Efficient acoustic calculations by the BEM and frequency interpolated transfer functions

Cited by 18 publications

References 1 publication

An Improved Series Expansion Method to Accelerate the Multi-Frequency Acoustic Radiation Prediction

An Improved Series Expansion Method to Accelerate the Multi-Frequency Acoustic Radiation Prediction

Survey on predicting and controlling of structure-borne noise from rail transit bridges

Vibro-acoustic analysis of noise generation from a full scale model of modular bridge expansion joint

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