Computation of the scattering matrix of guided acoustical propagation by the Wave Finite Element approach

Kessentini, Amina; Taktak, Mohamed; Souf, Mohamed Amine Ben; Bareille, Olivier; Ichchou, Mohamed; Haddar, Mohamed

doi:10.1016/j.apacoust.2015.09.004

Cited by 18 publications

(9 citation statements)

References 20 publications

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“…In fact, such matrix presents an intrinsic pro-priety of the duct element: it depends only on acoustic and geometric features of the duct. The method to compute this matrix was performed by Taktak et al (2008;2010;, Kessentini et al (2016) and Ben Souf et al (2017) in the case of axisymmetric duct with and without flow. Then, this method was improved to evaluate the effect of the temperature on the acoustic impedance of lined duct, see (Benjedidia et al, 2014).…”

Section: Introductionmentioning

confidence: 99%

Archives of Acoustics

Tounsi,

Taktak,

Dhief

et al. 2022

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Duct silencers provide effective noise reduction for heating, ventilation and air conditioning systems. These silencers can achieve an excellent sound attenuation through the attributes of their design. The reactive silencer works on the principle of high reflection of sound waves at low frequencies. On the other hand, the dissipative silencer works on the principle of sound absorption, which is very effective at high-frequencies. Combining these two kinds of silencers allowed covering the whole frequency range. In this paper, the effect of liner characteristics composed of a perforated plate backed by a porous material and geometry discontinuities on the acoustic power attenuation of lined ducts is evaluated. This objective is achieved by using a numerical model to compute the multimodal scattering matrix, thus allowing deducing the acoustic power attenuation. The numerical results are obtained for six configurations, including cases of narrowing and widening of a radius duct with sudden or progressive discontinuities. Numerical acoustic power attenuation shows the relative influence of the variation in the values of each parameter of the liner, and of each type of radius discontinuities of ducts.

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Section: Introductionmentioning

confidence: 99%

Archives of Acoustics

Tounsi,

Taktak,

Dhief

et al. 2022

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“…One of them is the wave finite element method (WFE), which has been developed originally in the seventies in order to describe the wave propagation along one-dimensional periodic elastic structures [1]. Afterwards, this method has been developed for more complex periodic structures [2][3][4][5][6][7][8][9]. Based on the periodicity, the wave mode is calculated from the dynamic stiffness matrix of one period of the structure, provided that it is not submitted to any external load [2,10].…”

Section: Introductionmentioning

confidence: 99%

Wave finite element method for waveguides and periodic structures subjected to arbitrary loads

Hoang

Duhamel

Foret

2020

Finite Elements in Analysis and Design

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The wave finite element method has been developed for waveguides and periodic structures with advantages in the calculation time. However, this method cannot be applied easily if the structure is subjected to complex or density loads and this is the aim of this article. Based on the finite element method, the dynamic equation of one period of the structure is rewritten to obtain a relation between the responses (DOF and nodal loads) on the left and right boundaries. This relation presents an additive term which links to the loads applying on the period. Then, by using WFE technique, we can compute the wave mode of the period and the wave decomposition. Because of the periodicity, we can also obtain a relation between the response and the left and right ends of the structure. Afterwards, the response of the structure is calculated by using the wave decomposition to apply in the dynamic stiffness matrix (DSM) approach or the wave analysis (WA). For the DMS approach, this technique shows that the external loads have no contribution to the global matrix but they lead to a equivalent force in the dynamic equation. Meanwhile, the external loads create waves propagating to the left and right of the structure in the WA approach.

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“…The pressure acoustic field inside the duct was determined for several incident acoustic modes. In (Kesentini et al, 2015), the wave finite element method was applied to study guided acoustical propagation. In those studies, uncertainties on the fluid-structure interaction were neglected.…”

Section: Introductionmentioning

confidence: 99%

Numerical modeling of uncertainty in acoustic propagation via generalized polynomial chaos

Dammak

Koubaa

Hami

et al. 2019

Journal of Theoretical and Applied Mechanics

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This work aims at increasing the performance prediction for acoustic propagation systems that will operate in the presence of the inevitable parameters uncertainty. In the present contribution, the finite element method is applied to solve an acoustic problem described by the Helmholz equation when the geometric and material properties present uncertainty. The influence of the uncertainty of physical parameters on the pressure field is discussed. The results using the polynomial chaos expansion method are compared with Monte Carlo simulations. It is show that uncertainty levels in the input data could result in large variability in the calculated pressure field in the domain.

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Computation of the scattering matrix of guided acoustical propagation by the Wave Finite Element approach

Cited by 18 publications

References 20 publications

Archives of Acoustics

Archives of Acoustics

Wave finite element method for waveguides and periodic structures subjected to arbitrary loads

Numerical modeling of uncertainty in acoustic propagation via generalized polynomial chaos

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