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VRIJE UNIVERSITEIT BRUSSEL Acoustics - the Dept. of ...

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4.3. MEASURING THE ACOUSTIC ABSORPTION 71Material 125Hz 250Hz 500Hz 1000Hz 2000Hz 4000Hzparquet flooring on concrete 0.04 0.04 0.07 0.06 0.06 0.07carpet on concrete 0.02 0.06 0.14 0.37 0.60 0.65Brick 0.03 0.03 0.03 0.04 0.05 0.07Concrete - coarse 0.36 0.44 0.31 0.29 0.39 0.25Concrete - painted 0.10 0.05 0.06 0.07 0.09 0.08Curtain 0.03 0.04 0.11 0.17 0.24 0.35Window glass 0.35 0.25 0.18 0.12 0.07 0.04Plaster 0.013 0.015 0.02 0.03 0.04 0.05Marble/tile 0.01 0.01 0.01 0.01 0.02 0.02Glasswool (5cm) 0.22 0.82 0.99 0.99 0.99 0.99Water 0.008 0.008 0.013 0.015 0.020 0.025Person 0.25 0.35 0.42 0.46 0.5 0.5Table 4.1: Absorption coefficients <strong>of</strong> some materials3. All wave propagation directions have <strong>the</strong> same probability. The shape<strong>of</strong> <strong>the</strong> space is not <strong>of</strong> any importance, and is basically random andirregular ; however <strong>the</strong> dimensions are approximately <strong>of</strong> <strong>the</strong> same order<strong>of</strong> magnitude.4. If a source <strong>of</strong> constant level acts in this space, a diffuse sound field willbe built up in this space after a certain amount <strong>of</strong> time. In doing so,<strong>the</strong> energy density in all points <strong>of</strong> <strong>the</strong> field will be constant.This <strong>the</strong>ory neglects <strong>the</strong>refore :The direct field in <strong>the</strong> immediate vicinity <strong>of</strong> <strong>the</strong> sound source.Certainsideeffectsin<strong>the</strong>immediatevicinity<strong>of</strong><strong>the</strong>absorbingmaterials.Possible interferences and diffractions.Conclusion : In practice we assume that this <strong>the</strong>ory isapplicable onlarge,possibly irregular shaped rooms, in which acoustic absorbing materials arepresent to a limited extent (<strong>the</strong> <strong>the</strong>ory is not valid for an anechoic room).Consider a space with volume V, and wall surface S. Suppose that adiffuse acoustic field prevails in <strong>the</strong> space. We consider a sound source inthis space, <strong>of</strong> which <strong>the</strong> walls have a mean absorption coefficient a. When<strong>the</strong> source is disabled, <strong>the</strong> intensity is I 0 . The sound dies out, i.e. <strong>the</strong>intensity will decrease due to multiple reflections and absorptions, so that

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