Page 701 - Automotive Engineering Powertrain Chassis System and Vehicle Body
        P. 701
     CHAP TER 2 1. 1       Interior noise: Assessment and control
                 interior noise levels is measured during certain vehi-  3. Normal incidence a: Measured in the impedance tube
                 cle operating conditions.                          (Bies and Hansen, 1996; Chung and Blaser, 1980)
               2. Determining the reverberation time. Reverberation  The random impedance a seems to agree better with
                 time (frequency variable) tends to be in the range  observed effects in road vehicles than the normal
                  100 ms for typical sedan cars. There is significant  impedance a (Qian and Vanbuskirk, 1995).
                 spatial variation in reverberation times so it is com-
                 monly measured at many locations and an average is
                 then sought.                                     21.1.9.2 Physical processes for sound
               The seats and the headliner contribute most to the ab-  absorption within porous materials
               sorption of sound (as shown in Fig. 21.1-9). This is due to
               their appropriate flow resistance (neither too high so as  The physical mechanisms by which the sound is absorbed
               to appear reflective, nor too low so as to appear acous-  are widely acknowledged to be rather complex (Qian and
               tically transparent) and their large surface areas.  Vanbuskirk, 1995). There is more than one mechanism
                 Individual sound-absorbing components may be     and these are generally classified as follows (Fahy and
               characterised by their characteristic specific acoustic  Walker, 1998):
               impedance                                          1. viscous losses due to oscillating flow within the
                      p   p ffiffiffiffiffiffi                                  internal spaces of the material;
                 z c ¼  ¼   kr 0                      (21.1.82)
                     u 0
                                                                  2. heat conduction within the material;
               measured in either:                                3. vibration of the material (particularly in closed cell
                                                                    plastic foams).
               1. an impedance tube (Bies and Hansen, 1996; Chung
                 and Blaser, 1980); or                            Porous materials have rather complex geometric struc-
               2. a free field (Allard and Sieben, 1985).          tures that defy mathematical description using de-
                                                                  terministic models. Rather, bulk properties of the
               A commonly quoted index is that of absorption co-  material are used to characterise its sound absorption
               efficient. This varies with both frequency and angle of  (Fahy and Walker, 1998). Neglecting the vibration of the
               incidence of the impinging sound (as does the charac-  material itself, these are:
               teristic specific impedance of the material). It may be
               measured in many ways:                               flow resistivity (r);
                                                                    porosity (h);
               1. Random incidence a: Measured in the reverberation    structure factor (s).
                 chamber room (see Section 21.1.3.4 for an intro-
                 duction to such spaces).                         One may gain useful insight into the behaviour of sound
                                                                  within porous materials by inspecting a modified form of
               2. Specific angle of incidence a: Measured in anechoic  the linear plane wave acoustic equation:
                 chamber (Ingard and Bolt, 1951).
                                                                             2
                                                                     2
                                                                    v p    2 v p
                                                                        ¼ c                               (21.1.83)
                                                                    vt 2    vx 2
                                   Floor                            This equation relates the spatial variation of acoustic
                       Package tray
                                                                  pressure p with the temporal distribution via the speed of
                                                                              1
                  Door panels                                     sound c (m s ). It only applies to a free field. In the
                                                                  restricted internal spaces of a porous material, additional
                Instr. panel
                                                                  relationships will be sought for the spatial distribution of
                  Windows                                         acoustic pressure.
                    Dash                                 Seats
                                                                  21.1.9.3 Flow resistivity
                                                                  Consider the steady flow of air through a porous mate-
                                                                  rial. The air is flowing with a volume velocity per unit
                        Headliner
                                                                                          1
                                                                                     0
                                                                  cross section area of u (m s )(Fahy and Walker, 1998)
                                      Sail panel
                                                                           3
                                                                         m =S    m 3  l 2  m
                                                                     0
               Fig. 21.1-9 The absorption of sound by vehicle interior trim: data  u ¼  2  2  ¼  $  2  ¼  (21.1.84)
               taken from Qian and Vanbuskirk (1995).                    m =l     s m      S
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