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CHAP TER 2 1. 1       Interior noise: Assessment and control

               The microphone may be moved manually, or traversed  If the source is located on a hard floor, and can be moved,
               linearly across the room or mounted on a continuously  and is at least a half wavelength from any other reflective
               rotating circular boom. The number of measurement  surfaces, a version of the substitution method described
               locations can be reduced using a rotating diffuser in the  earlier may be used to determine sound power. First the
               room particularly if the source emits narrow band or tonal  spatially averaged sound pressure level L p1 is obtained
               noise. An accuracy of measurement of  0.5dB is     over a hemispherical surface around the source. Then the
               reasonable.                                        source is moved away and replaced with a reference
                 The simplest method of determining sound power in  source of power output L W2 , and the exact procedure is
               a reverberant room is to use the substitution method  repeated to obtain L p2 . Therefore, the sound power
               whereby the spatially averaged sound pressure level L p  output L W1 of the source is:
               resulting from the source of unknown power output
               level L w is compared to the spatially averaged sound  L W1 ¼ L W2 þ L p1   L p2 ðdBÞ      (21.1.43)
               pressure level L 0 p  resulting from a source of known
                            0
               power output L .                                     The movement of the source is vital as it allows both
                            w
                 Therefore,                                       sets of pressure measurements to be made at the exactly
                                                                  same locations and therefore with the same mix of direct
                                  0
                       0
                 L w ¼ L þðL p   L Þ                  (21.1.41)   and reverberant fields.
                       w
                                  p
                                                                    If the source cannot be moved, then the substitution
                 The absolute method may be used as an alternative to  method is excluded and hence a knowledge of the
               this, whereby the sound power is obtained from the  spatial distribution of direct and reverberant fields
               spatially averaged sound pressure level L p and the de-  must be determined before sound power estimates are
               termination of the absorption characteristic of the room  made.
               (Ver and Holmer, 1971):                              The sound pressure level L p1 averaged over a portion
                                                                  of a sphere around a sound source of acoustic power
                 L w ¼ L p þ 10 log 10  V   10 log 10  T 60       output L W1 is:

                                     Sl                                                  D     4
                      þ 10 log 10  1 þ     13:9dB; re10  12 W       L p1 ¼ L W1 þ 10 log     þ    ðdBÞ    (21.1.44)
                                     8V                                              10  4pr 2  R
                                                      (21.1.42)
                                                                  where the directivity constant is:
               where                                                D ¼ 1 for a sphere
                                     3
                  V ¼ Room volume (m )                              D ¼ 2 for a hemisphere
                 T 60 ¼ Time taken for the sound pressure level to  D ¼ 4 for a quarter of a sphere etc.
                       drop by 60 dB (s)                            and R is the room constant (Kutruff, 1979); and
                                               2
                   S ¼ Surface area of the room (m )
                   l ¼ Wavelength corresponding to the centre fre-
                                                                          Sa
                       quency in the analysis band (m)              R ¼                                   (21.1.45)
                                                                         1   a
               21.1.3.5 Measurement of sound power                where
                                                                                         2
               in a semi-reverberant far field                       S ¼ total room area (m )
                                                                    a ¼ average Sabine absorption in the room
               Most rooms containing noise sources are neither anechoic  The room constant may be taken to be the total ab-
                                                                                                             2
               nor truly reverberant. When determining the sound  sorption of the room measured in units of area (m ).
               power of a source in such a space no assumptions are  If L p1 is obtained over a hemisphere around a refer-
               made about the nature of the field (unlike before, where  ence source of known sound power output L W1 , then the
               the field was assumed to be either all direct or all dif-  contribution to sound pressure level over the test surface
               fuse). The only requirements for the room are:     made by the direct field is:

               1. The sound source should be in its normal position.                      2
                                                                    L pd  ¼ L W1 þ 10 log 10  ðdBÞ
               2. The room should be large enough to allow measure-                     4pr 2
                 ments to be made in the far field.                                                     2
                                                                                        1
                                                                    L   ¼ L W1 þ 10 log    þ 10 log      dB
               3. The microphone should be kept at least one quarter  pd             10  r 2      10  4p
                 wavelength away from any reflecting surface of the
                 room.                                              L pd  ¼ L W1   20 log r   8 dB        (21.1.46)
                                                                                     10

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