A Coupled Bem and Energy Flow Method for Mid-High Frequency Internal Acoustic

Besset, Sébastien; Ichchou, Mohamed; Jézéquel, L.

doi:10.1142/s0218396x10004073

Cited by 14 publications

(7 citation statements)

References 28 publications

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“…Indeed, we assume in this article that a directivity dðÞ ¼ cos , which is not always validated, since the directivity depends on the kind of source -and we know nothing about it. We note that the correct directivity cannot be found through MES, and additional research is required in order to be able to take correct directivities into account through hybrid methods [31].…”

Section: Numerical Results 41 1 Boundary Sourcementioning

confidence: 99%

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Identification of acoustic sources through an inverse energy method

Chabchoub¹,

Besset²,

Ichchou³

2011

Inverse Problems in Science and Engineering

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This article deals with the behaviour of acoustic cavities in the mid-highfrequency range. An energy method called simplified energy method (MES) has already been proposed to predict energy levels in acoustic cavities. The direct MES provides energy density repartitions from the knowledge of input power and power dissipated at the boundaries. In this article we propose that the MES can be used to solve inverse problems. More precisely, the dissipated energy at the acoustic domain boundaries are retrieved from the knowledge of energy densities. The inverse MES formulation is first defined and a simple acoustic cavity test case is analysed, displaying the efficiency of the proposed method. The nature and the quality of input data as well as other parameters will be considered.

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Section: Numerical Results 41 1 Boundary Sourcementioning

confidence: 99%

“…These terms can be neglected because the quantities considered in MES are frequency average quantities (see MES references [25,31,32]). Therefore, we can write…”

Section: Assumptionsmentioning

confidence: 99%

Identification of acoustic sources through an inverse energy method

Chabchoub¹,

Besset²,

Ichchou³

2011

Inverse Problems in Science and Engineering

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“…Although the work programme outlined herein is quite academic and not directly related to industry, only those excitations caused externally will receive our attention. Such structures have already been studied by the authors in [27] and comparisons have been drawn between the MES method and both BEM and FEM methods, including a hybrid HMES method. The cavity structure has been discretised; for each boundary element, an absorption coefficient (which may depend on frequency) has been assigned.…”

Section: Optimisation Problemmentioning

confidence: 99%

Acoustic absorption material optimisation in the mid–high frequency range

Besset¹,

Ichchou²

2011

Applied Acoustics

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a b s t r a c tAcoustic modelling, applicable to poroelastic materials in a wide frequency range, is time consuming. This paper offers an energy method for optimising absorption coefficients at the boundaries of an acoustic cavity. The influence of absorption coefficients on this proposed energy method will be examined first. The next step will seek to optimise the location of absorbing materials. Numerical results will prove the method's effectiveness. Improvements in the overall optimisation process will also be proposed. A model based on polynomial interpolations will be developed in order to further reduce time consumption.

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“…A full explanation is given at the end of the text when all the results are assembled. Finally, the high-frequency energy equations proposed in [18,19] can be rewritten as integral equations using kernels associated to the telegraph equations.…”

Section: Derivation By Wave Approachmentioning

confidence: 99%

A discussion on high-frequency wave energy behavior in viscoelastic media

Ichchou

Bareille

2011

J Eng Math

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A time-varying energy equation is proposed for general high-frequency elastoacoustic waves. Derivations are presented through a wave approach and transport theory. The assumption of uncorrelated waves is adopted in the wave approach and leads to a second-order partial differential equation. A similar process is also mathematically verified in the derivation by means of transport theory. Both derivations allow a simplified energy-based equation to be formulated. This simplified formulation can be of real interest in many engineering applications. Precisely, the recent mathematical results obtained for the high-frequency asymptotic of hyperbolic partial differential equations are used to ease the derivation. Some developments are introduced to extend the classic transport theory for bounded elastoacoustic systems with damping. It is shown that the behavior of high-frequency elastoacoustic energy, being diffusive or wavefront, depends on the correlation lengths of the inhomogeneities of media. The proposed energy equation is mathematically different from the equation applied in the conventional approaches, which are used extensively in recent study of time-varying energy in medium-and high-frequency domains, such as transient statistical energy analysis (SEA) or the time-varying conductivity approach.

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A Coupled Bem and Energy Flow Method for Mid-High Frequency Internal Acoustic

Cited by 14 publications

References 28 publications

Identification of acoustic sources through an inverse energy method

Identification of acoustic sources through an inverse energy method

Acoustic absorption material optimisation in the mid–high frequency range

A discussion on high-frequency wave energy behavior in viscoelastic media

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