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Solution
Оглавление1 For whole space: I = 1/4π(50)2 = 1/104 π (W/m2), then
Since we may assume r = 50 m is in the far acoustic field, Lp ≅ LI = 75 dB as well (we have also assumed ρc ≅ 400 rayls).
For half space: I = 1/2π(50)2 = 2/104 π (W/m2), then
and Lp ≅ LI = 78 dB also.
It is important to note that the sound power radiated by a source can be significantly affected by its environment. For example, if a simple constant‐volume velocity source (whose strength Q will be unaffected by the environment) is placed on a floor, its sound power will be doubled (and its sound power level increased by 3 dB). If it is placed at a floor–wall intersection, its sound power will be increased by four times (6 dB); and if it is placed in a room comer, its power is increased by eight times (9 dB). See Table 3.2. Many simple sources of sound (ideal sources, monopoles, and real small machine sources) produce more sound power when put near reflecting surfaces, provided their surface velocity remains constant. For example, if a monopole is placed touching a hard plane, an image source of equal strength may be assumed.
Table 3.2 Simple source near reflecting surfacesa.
Intensity | Source | Condition | Number of Images | Power | D | DI | |
---|---|---|---|---|---|---|---|
I | Free field | None | W | 1 | 0 dB | ||
4 I | Reflecting plane | 1 | 2W | 4 | 6 dB | ||
16 I | Wall‐floor intersection | 3 | 4W | 16 | 12 dB | ||
64 I | Room corner | 7 | 8W | 64 | 18 dB |
a Q and DI are defined in Eqs. (3.53), (3.58), and (3.60).