A Dual Boundary Element Formulation for Sound Propagation Around Barriers Over an Impedance Plane

Lacerda, Luiz Alkimin de; Wrobel, L.C.; Mansur, Webe João

doi:10.1006/jsvi.1996.0860

Cited by 30 publications

(24 citation statements)

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“…[11]) which enables the obstacle to be described by means of a single line of boundary elements. The dual BEM and the TBEM techniques have been successfully used to study acoustic wave scattering in the presence of thin barriers (Lacerda et al [12,13], António et al [14]). …”

Section: Introductionmentioning

confidence: 99%

Sound pressure attenuation provided by a 3D rigid acoustic barrier on a building façade: the influence of its longitudinal shape

Tadeu¹,

António²,

Castro³

2012

WIT Transactions on Modelling and Simulation

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This paper models the propagation of sound in the vicinity of 3D acoustic barriers placed parallel to a building façade to mitigate the noise generated by point pressure sources. The barriers are assumed to be very thin rigid elements. The problem is solved by developing and implementing a 3D boundary element method formulation based on the normal derivative integral equation (TBEM). The TBEM is formulated in the frequency domain and the resulting hypersingular terms are computed analytically. After verifying the model against 2.5D BEM solutions, several numerical applications are described to illustrate the practical usefulness of the proposed approaches. Different longitudinal barrier geometries are simulated to evaluate the influence of this characteristic on the sound pressure level attenuation attained at the building façade. Keywords: acoustic wave propagation, 3D thin barriers, normal derivative integral equation, analytical integration of hypersingular integrals.

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Section: Introductionmentioning

confidence: 99%

Sound pressure attenuation provided by a 3D rigid acoustic barrier on a building façade: the influence of its longitudinal shape

Tadeu¹,

António²,

Castro³

2012

WIT Transactions on Modelling and Simulation

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“…This problem can be solved if the Dual Boundary Element Method (Dual-BEM) is applied [11]. It uses the classic formulation of the boundary integral equation on one side of the object and its first spatial derivative along the direction orthogonal to the boundary on the opposite side, to yield a system of equations that is not singular.…”

Section: Introductionmentioning

confidence: 99%

“…In this case the object to be discretized is represented by only one line of boundary elements and the resulting system of equations is smaller than that provided by the Dual-BEM formulation [12,13]. These methods have been employed to solve problems of sound propagation in the presence of rigid noise barriers over a rigid or an impedance plane [11,13].…”

Section: Introductionmentioning

confidence: 99%

Using a Dual-BEM formulation to model the sound pressure wavefield provided by absorbing thin screens attached to the walls of a duct

António

Godinho

Amado-Mendes

et al. 2012

WIT Transactions on Modelling and Simulation

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The modelling of the 2D sound pressure wavefield in the presence of thin absorbing screens attached to the walls of a duct, assumed to be infinitely long, is described in this paper. The simulation uses a frequency-domain Dual-BEM (BEM/TBEM) formulation, which overcomes the thin-body difficulty that arises with the classical BEM formulation. The sound absorption is simulated by imposing impedance boundary conditions, which are applied in conjunction with a Dual-BEM approach. The fundamental solutions used in the formulation allow the solution to be obtained without discretizing the duct's walls. Thus, only the boundary of each absorbing screen attached to the duct's walls is modelled, which makes the proposed formulation efficient even at high excitation frequencies. The hypersingular integrals that result from the implementation of the TBEM are computed analytically. The formulation is used to compare results obtained with absorbing screens with those obtained with rigid screens and with those obtained in a duct without screens. Results in the time domain are obtained by applying an inverse Fourier transform to the frequency results.

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“…Solutions have been sought for non-destructive evaluation techniques [1,2], and in seismology (e.g. [3][4][5]), fracture mechanics [6] and acoustics [7,8].…”

Section: Introductionmentioning

confidence: 99%

The simulation of 3D elastic scattering produced by thin rigid inclusions using the traction boundary element method

Tadeu¹,

Amado-Mendes²,

António³

2006

Computers & Structures

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A mixed formulation that uses both the traction boundary element method (TBEM) and the boundary element method (BEM) is proposed to compute the three-dimensional (3D) propagation of elastic waves scattered by two-dimensional (2D) thin rigid inclusions. Although the conventional direct BEM has limitations when dealing with thin-body problems, this model overcomes that difficulty. It is formulated in the frequency domain and, taking into account the 2-1/2D configuration of the problem, can be expressed in terms of waves with varying wavenumbers in the z direction, k z . The elastic medium is homogeneous and unbounded and it should be noted that no restrictions are imposed on the geometry and orientation of the internal crack.

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A Dual Boundary Element Formulation for Sound Propagation Around Barriers Over an Impedance Plane

Cited by 30 publications

References 0 publications

Sound pressure attenuation provided by a 3D rigid acoustic barrier on a building façade: the influence of its longitudinal shape

Sound pressure attenuation provided by a 3D rigid acoustic barrier on a building façade: the influence of its longitudinal shape

Using a Dual-BEM formulation to model the sound pressure wavefield provided by absorbing thin screens attached to the walls of a duct

The simulation of 3D elastic scattering produced by thin rigid inclusions using the traction boundary element method

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