Specular and diffuse reflections of rays in coupled thin plates at high frequencies

Cotoni, Vincent; Bot, Alain Le

doi:10.1016/s0022-460x(02)01438-4

Cited by 6 publications

(4 citation statements)

References 19 publications

(32 reference statements)

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“…The classical solution is based on the image-source technique and the introduction of specular view-factors. But some non-standard solutions have also been proposed recently [15,53]. In statistical energy analysis, the image-source technique also provides a powerful extension of the method when the sound field is not diffuse in the enclosure [54].…”

Section: At W O -D I M E N S I O N a Ls P A C E T H Ed I R E C Tfi Ementioning

confidence: 99%

High frequency vibroacoustics: A radiative transfer equation and radiosity based approach

Bot

Sadoulet-Reboul

2014

Wave Motion

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International audienceThis paper is a review of the theoretical framework for the application of radiative transfer equations to structural dynamics and acoustics. It is shown that under the assumption of geometrical acoustics and when the phase of rays is neglected, a representation of a sound field in terms of incoherent fictitious sources provides a sufficiently large framework to embody diffuse as well as specular reflection, steady-state or transient phenomena and even diffraction. Two special cases are mentioned. The so-called radiosity method in acoustics corresponds to a purely diffusing boundary and statistical energy analysis when the sound field is diffuse

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Section: At W O -D I M E N S I O N a Ls P A C E T H Ed I R E C Tfi Ementioning

confidence: 99%

High frequency vibroacoustics: A radiative transfer equation and radiosity based approach

Bot

Sadoulet-Reboul

2014

Wave Motion

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“…Secondly, because of the frequency dependence of the group velocity, the number of reflec- tions also increases linearly with frequency, a consequence of the dispersive properties of flexural waves. For other references to energy reflections in plates see, for example, [23]. As a consequence, the mixing time of a plate is given by: Fig.…”

Section: Multiple Reflections On Platementioning

confidence: 99%

On the quality of plate reverberation

Arcas

Chaigne

2010

Applied Acoustics

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“…Equation ͑29͒ has been solved for a couple of plates in Ref. 26, whereas some features of Eq. ͑29͒ have been discussed in Ref.…”

Section: Transmission and Refractionmentioning

confidence: 99%

Energy exchange in uncorrelated ray fields of vibroacoustics

Bot

2006

The Journal of the Acoustical Society of America

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This paper is concerned with the basic equations governing energy and intensity in incoherent ray fields. Some fictitious sources are distributed on the boundary of the domain but also on diffracting wedges and peaks. Their powers are determined by some appropriate boundary integral equations. Once these powers are known, energy and intensity inside the domain are given by a simple superposition of contributions of these sources. All paths of propagation are taken into account including direct, reflected, refracted, transmitted, and diffracted rays, but also, radiation by surface, edge or corner modes, and the reciprocal paths for structural response. This theory unifies several fields from the "radiosity method" in room acoustics which determines the reverberation time to the "radiative transfer method" in structural dynamics which gives the repartition of vibrational energy inside subsystems of built-up structures. This is therefore a candidate for an alternative to statistical energy analysis when fields are nondiffuse.

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Specular and diffuse reflections of rays in coupled thin plates at high frequencies

Cited by 6 publications

References 19 publications

High frequency vibroacoustics: A radiative transfer equation and radiosity based approach

High frequency vibroacoustics: A radiative transfer equation and radiosity based approach

On the quality of plate reverberation

Energy exchange in uncorrelated ray fields of vibroacoustics

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