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Introduction to Acoustics

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1072 Part H Engineering <strong>Acoustics</strong><br />

Part H 25<br />

mined. The sound intensity method makes it possible <strong>to</strong><br />

measure the transmitted sound power directly. In contrast<br />

one cannot measure the incident sound power in<br />

the source room using sound intensity, since the method<br />

gives the net sound intensity. If the intensity method<br />

is used for determining the transmitted sound power it<br />

is not necessary that the sound field in the receiving<br />

room is diffuse, from which it follows that only one<br />

reverberation room is necessary. Thus sound intensity<br />

is suitable for field measurements of transmission loss.<br />

There are international standards both for labora<strong>to</strong>ry and<br />

field measurements of transmission loss based on sound<br />

intensity [25.69, 70].<br />

Figure 25.25 shows the results of a round robin<br />

investigation in which a single-leaf and a double-leaf<br />

construction were tested by four different labora<strong>to</strong>ries<br />

using the conventional method and the intensity-based<br />

method. Apart from the fact that only one reverberation<br />

room is needed the main advantage of the intensity<br />

method is that it makes it possible <strong>to</strong> evaluate the<br />

transmission loss of individual parts of the partition.<br />

However, <strong>to</strong> be reliable each sound power measurement<br />

must obviously satisfy the condition expressed<br />

by (25.29). There are other sources of error than phase<br />

mismatch. If a significant part of the absorption in the receiving<br />

room is due <strong>to</strong> the partition under test then the net<br />

power is less than the transmitted power because a part of<br />

the transmitted sound energy is absorbed or retransmitted<br />

by the partition itself [25.71]. Under such conditions<br />

one must increase the absorption of the receiving room;<br />

otherwise the intensity method will overestimate the<br />

transmission loss because the transmitted sound power<br />

is underestimated. In contrast, the conventional method<br />

measures the transmitted sound power irrespective of<br />

the distribution of absorption in the receiving room.<br />

Deviations between results determined using the<br />

traditional method and the intensity method led sev-<br />

References<br />

25.1 A.D. Pierce: <strong>Acoustics</strong>: An <strong>Introduction</strong> <strong>to</strong> Its<br />

Physical Principles and Applications, 2nd edn.<br />

(Acoustical Society of America, New York 1989)<br />

25.2 F.J. Fahy: Sound Intensity, 2nd edn. (E & FN Spon,<br />

London 1995)<br />

25.3 ISO: ISO 3745 <strong>Acoustics</strong> - Determination of sound<br />

power levels of noise sources using sound pressure<br />

- Precision methods for anechoic and hemianechoic<br />

rooms (ISO, Geneva 2003)<br />

25.4 J.-C. Pascal: Mesure de l’intensité active et réactive<br />

dans differents champs acoustiques, Proc. Rec.<br />

Devel. Acoust. Intens (CETIM, Senlis 1981) pp. 11–19<br />

eral authors <strong>to</strong> reanalyze the traditional method in<br />

the 1980s [25.72] and point out that the Waterhouse<br />

correction [25.73], well established in sound<br />

power determination using the reverberation room<br />

method [25.74], had been overlooked in the standards<br />

for conventional measurement of transmission loss. Recent<br />

results imply that the Waterhouse correction should<br />

be used not only for the receiving room but also for the<br />

source room [25.75].<br />

25.4.5 Other Applications<br />

The fact that the sound intensity level is considerably<br />

lower than the sound pressure level in a diffuse,<br />

reverberant sound field has led <strong>to</strong> the idea of replacing<br />

a measurement of the emission sound pressure<br />

level generated by machinery at the opera<strong>to</strong>r’s position<br />

by a measurement of the sound intensity level,<br />

because the latter is less affected by diffuse background<br />

noise [25.76]. This method, which involves measuring<br />

three components of the intensity at a specified<br />

position near the source, has recently been standardized<br />

[25.77].<br />

In principle, sound intensity may be used for measuring<br />

sound absorption in situ. As in measurement of<br />

transmission losses the incident sound power must be<br />

deduced from a spatial average of the mean square pressure<br />

in the room on the assumption that the sound field<br />

is diffuse, and the absorbed sound power is measured by<br />

integrating the normal component of the intensity over<br />

a surface that encloses the specimen under test [25.2].<br />

In practice, however, this is one of the least successful<br />

applications of sound intensity, partly because of the assumption<br />

of diffuse sound incidence and partly because<br />

estimation errors in the absorbed power will be translated<br />

<strong>to</strong> relatively large fractional errors in the resulting<br />

absorption coefficients.<br />

25.5 J.A. Mann III, J. Tichy, A.J. Romano: Instantaneous<br />

and time-averaged energy transfer in acoustic<br />

fields, J. Acoust. Soc. Am. 82, 17–30 (1987)<br />

25.6 F. Jacobsen: Active and reactive, coherent and incoherent<br />

sound fields, J. Sound Vib. 130, 493–507<br />

(1989)<br />

25.7 F. Jacobsen: A note on instantaneous and timeaveraged<br />

active and reactive sound intensity, J.<br />

Sound Vib. 147, 489–496 (1991)<br />

25.8 P.J. Westervelt: Acoustical impedance in terms of<br />

energy functions, J. Acoust. Soc. Am. 23, 347–348<br />

(1951)

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