Overview
ABSTRACT
This article deals with the mathematical relationships which allow for the determination of sound energy transfers between coupled rooms. The first part details the fundamental equations of reverberation in a "source" room, and in any adjacent space in which energies received and returned are sufficiently significant in that they alter the original level in the "source" room. The second part of the article generalizes on the case where the rooms coupled are greater than two. An example is given of rooms of significant length such as corridors, tunnels, station platforms, etc. in order to understand the different levels of reverberation observed. The third part establishes the equation of energy loss between two coupled rooms. The model employed allows for the explanation of the main differences observed between classic laws of reverberation and the effectiveness of measurements. An example is given with the analysis of a show room in order to enhance the paradoxical results which appear between the reverberation perceived by actors or musicians situated on the stage and by the audience in the room.
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Read the articleAUTHOR
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Jacques JOUHANEAU : Professor, former holder of the CNAM Acoustics Chair
INTRODUCTION
Most room acoustics models are based on relationships applicable to a single room isolated from neighboring rooms or from the outside world.
In reality, it is never possible to completely eliminate the exchange of sound energy between the room under study and its environment. However, neglecting the disturbances induced by these exchanges is of no consequence for most cultural venues, as they are generally designed to limit the disturbances they may suffer or induce.
In the case of industrial sites, these approximations are no longer valid, since functional aspects take precedence over all other considerations (auditory and visual comfort, in particular), and it is rarely possible to optimize insulation between the different compartments that make up these sites. What's more, the noise levels induced by certain industries are such that it is impossible to reduce them without incurring exorbitant costs incompatible with the budgets of the companies concerned.
The study of sound energy exchange and cost optimization is therefore an important problem, requiring the implementation of specific models rarely covered in conventional architectural acoustics literature.
To fill this gap, two articles are proposed:
the present article on the mathematical formulation of coupled systems and the simplified models derived from it;
a dossier on the specific methodologies used in the approach required to optimize complex models governed by too many variables
[BR 1 010] [BR 1 012] [BR 1 014]
This first article, on the mathematical formulation of energy exchanges, starts from the basic concepts presented...
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Sound energy exchanges between several rooms - Industrial site Applications
Exchanges of reverberant energy between two rooms connected by an opening
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