Page 251 - The Master Handbook Of Acoustics
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226   CHAPTER NINE



                                                              and music signals. It is true that any reso-
                                                              nant system, electronic or acoustical, has a
                                                              certain time constant associated with it.
                                                              The Q-factor (quality factor) describes the
                                                     3dB      sharpness of tuning of the Helmholtz res-
                                                              onator as shown in Fig. 9-37. Once the
                                                              tuning curve has been obtained experi-
                                                              mentally, the width of the tuning curve at
                                                              the  3 dB points gives  f. The Q of the
                                       f
                                                              system is then Q   f / f, where f is the
                                                                                   o            o
                                                              frequency to which the system is tuned.
                                      f o                     Measurements on a number of perforated
                    FIGURE 9-37                               and slat Helmholtz absorbers gave  Qs
                                                              around 1 or 2 but some as high as 5. Table
                   Once the tuning curve of a Helmholtz type resonant
                   absorber has been determined, its Q-factor can be  9-4 shows how the decay rate of resonant
                   found from the expression, f / f. The “reverberation  absorbers of several Qs relates to reverber-
                                         0
                   time” of such absorbers is very short for Qs normally  ation time.
                   encountered.
                                                                 With resonant absorber Qs of 100, real
                                                              problems would be encountered in a room
                                   having a reverberation time of, say, 0.5 second as the absorbers tailed
                                   off sound for several seconds. However, Helmholtz absorbers with
                                   such  Qs would be very special devices, made of ceramic, perhaps.
                                   Absorbers made of wood with glass fiber to broaden the absorption
                                   curve have Qs so low that their sound dies away much faster than the
                                   studio or listening room itself.

                                   Taming Room Modes
                                   The following example of taming a troublesome room mode is based
                                   on Acoustisoft’s ETF 5 room acoustics analyzer program.  23  The ETF



                                                Table 9-4 Sound decay in resonant absorbers.
                                                                   “Reverberation time”
                                                 Q        f            (seconds)
                                                           o
                                                100     100 Hz           2.2
                                                  5     100              0.11
                                                  1     100              0.022
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