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

Abstract

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

A wave finite element approach for modelling wave transmission through laminated plate junctions

“…At higher frequencies, numerical approaches such as SEA 11 , 12 , the radiative transfer method 13 – 15 or DEA 16 – 18 are favoured. For all these methods, wave propagation characteristics such as dispersion relations and scattering coefficients at discontinuities in the structure are required and routinely used.…”

A novel hybrid FS‐FEM/SEA for the analysis of vibro‐acoustic problems

“…The wave intensity analysis , statistical modal energy distribution analysis and the energy finite elements fall into this category. Recently developed methods including radiosity‐based approach and discrete flow mapping also provide efficient solutions for high‐frequency vibro‐acoustic problems. Although the methods mentioned previously make it possible to extend the frequency range of applications, these methods still fail to properly describe the mixed behaviours (either deterministic or statistic behaviours), because some subsystems with long wavelength behaviour do not totally fulfill the requirements for the application of SEA.…”