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Metal Foams: A Design Guide

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Sound absorption and vibration suppression 173<br />

Table 12.2 Sound-absorption coefficient at indicated frequency<br />

Material 500 Hz 1000 Hz 2000 Hz 4000 Hz<br />

Glazed tiles 0.01 0.01 0.02 0.02<br />

Concrete with roughened surface 0.02 0.03 0.04 0.04<br />

Timber floor on timber joists 0.15 0.10 0.10 0.08<br />

Cork tiles on solid backing 0.20 0.55 0.60 0.55<br />

Draped curtains over solid backing 0.40 0.50 0.60 0.50<br />

Thick carpet on felt underlay<br />

Expanded polystyrene, 25 mm<br />

(1 in.) thick, spaced 50 mm<br />

0.30 0.60 0.75 0.80<br />

(2 in.) from solid backing<br />

Acoustic spray plaster, 12 mm<br />

0.55 0.20 0.10 0.15<br />

( 1<br />

2<br />

in.) thick, on solid backing 0.50 0.80 0.85 0.60<br />

<strong>Metal</strong> tiles with 25% perforations, with<br />

porous absorbent material laid on top 0.80 0.80 0.90 0.80<br />

Glass wool, 50 mm, on rigid backing 0.50 0.90 0.98 0.99<br />

12.2 Sound absorption in metal foams<br />

Absorption is measured using a plane-wave impedance tube. When a plane<br />

sound wave impinges normally on an acoustic absorber, some energy is<br />

absorbed and some is reflected. If the pressure pi in the incident wave is<br />

described by<br />

pi D A cos ⊲2 ft⊳ ⊲12.2⊳<br />

and that in the reflected wave (pr) by<br />

� �<br />

pr D B cos 2 f t<br />

��<br />

2x<br />

c<br />

⊲12.3⊳<br />

then the total sound pressure in the tube (which can be measured with a<br />

microphone) is given by the sum of the two. Here f is the frequency (Hz), t<br />

is time (s), x is the distance from the sample surface (m), c is the velocity of<br />

sound (m/s) and A and B are amplitudes.<br />

The absorption coefficient ˛ is defined as<br />

˛ D 1<br />

� �2 B<br />

A<br />

⊲12.4⊳

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