Page 758 - Automotive Engineering Powertrain Chassis System and Vehicle Body
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Exterior noise: Assessment and control     C HAPTER 22.1

             Wave decompositiontechniques (Daviesetal.,1999)–   The peak attenuation will occur at frequencies away
             Measure sound pressures at four known positions and  from resonances in the snorkel and in the filter box.
             solve the four simultaneous equations that result:  These resonant frequencies can be estimated using the
                                                              equation below:
                          þ


                   þ
             P 1 ¼ p e iðut b x 1 Þ  þ p e iðutþb x 1 Þ  (22.1.73)  2xf  z nn ¼ 1; 2; 3; 4; .         (22.1.78)
                          up
                                       up
                   up
                                up
                                                                 c

                          þ
                   þ

             P 2 ¼ p e iðut b x 2 Þ  þ p e iðutþb x 2 Þ  (22.1.74)  where
                          up
                                        up
                   up
                                 up
                               x
                                                x
             P 3 ¼ p þ  e iðut b þ down 3 Þ  þ p    e iðutþb   down 3 Þ  x ¼ length
                   down             down
                                                  (22.1.75)     f ¼ frequency (Hz)
                                                                                      1
                                                                c ¼ speed of sound (m s )
                                                x
                               x
             P ¼ p þ   e iðut b þ down 4 Þ  þ p    e iðutþb   down 4 Þ  The attenuation (predicted using a software known as
              4
                   down
                                    down
                                                  (22.1.76)   APINEX) afforded by this simple intake system is shown
                                                              in Fig. 22.1-29.
                                                                Inspection of Fig. 22.1-29 reveals:
                                                                peak attenuation ¼ 25 dB at 650 Hz;
           22.1.3.13 Intake noise control: a case               two dips in the attenuation relating to the snorkel
           study                                                length when n ¼ 1 and 2 (filter box depth is too
                                                                short for any chamber resonances <1000 Hz).
           Frequently, the fundamental dimensions of an intake
           system (such as minimum pipe diameters and the choice  The attenuation characteristics of the expansion portion
           of air filter element) are set in advance of noise control  of the filter box are shown in Fig. 22.1-30. The attenu-
           engineering by the engine development team. In this case  ation characteristics of the contraction section of the
           study, those considerations lead to an expansion ratio of  filter box are shown in Fig. 22.1-31.
           18.33:1.00 between the snorkel and the filter box. The  The effect of the intake snorkel is to have negative
           peak attenuation in this filter box can be estimated using:  attenuation near its resonant frequencies. Contrasting
                                                              the last two figures illustrates the point that it is the
             attenuation dB ¼ 20 log 10  ðexpansion ratioÞ    expansion within the filter box which provides the basic
                                                              attenuation, while the snorkel and the filter box lengths
                           ¼ 20 log 10  ð18:33Þ¼ 25:27 dB     tune the dips in the attenuation characteristics. Figs.
                                                  (22.1.77)   22.1-30 and 22.1-31 (and others in this section) were
                                                        Simple intake filter box
                                    30
                                    25
                                    20
                                   Attenuation (dB)  15

                                    10

                                    5

                                    0

                                    –5

                                   –10
                                     0   100  200  300  400  500  600  700  800  900  1000
                                                         Frequency (Hz)
           Fig. 22.1-29 Attenuation of a simple intake filter box calculated using APINEX software.


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