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Design and Simulation of Two Stroke Engines

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Chapter 8 - Reduction <strong>of</strong> Noise Emission from <strong>Two</strong>-<strong>Stroke</strong> <strong>Engines</strong><br />

8.7 <strong>and</strong> in this section. However, the input data are in the more conventional length dimensions<br />

in mm units <strong>and</strong> temperature in Celsius values; they are converted within the program to<br />

strict SI units before being entered into the programmed equations for the attenuation <strong>of</strong> a<br />

diffusing silencer according to Fukuda [8.9], Eqs. 8.5.3-8.5.5. You can check the input dimensions<br />

<strong>of</strong> SYSTEM 2 <strong>and</strong> SYSTEM 3 from Fig. 8.2.<br />

The measured noise characteristics <strong>of</strong> SYTEM 2 are shown in Fig. 8.4. The attenuation <strong>of</strong><br />

SYSTEM 2, as predicted by the theory <strong>of</strong> Fukuda <strong>and</strong> shown in Fig. 8.12, has a first major<br />

attenuation <strong>of</strong> 14 dB at 320 Hz <strong>and</strong> the first two pass-b<strong>and</strong> frequencies are at 550 <strong>and</strong> 1100<br />

Hz. If you examine the measured noise frequency spectrum in Fig. 8.4, you will find that an<br />

attenuation hole <strong>of</strong> 12 dB is created at a frequency <strong>of</strong> 400 Hz. Thus the correspondence with<br />

the theory <strong>of</strong> Fukuda, with regard to this primary criterion, is quite good <strong>and</strong> gives some<br />

confidence in its application for this particular function. There is also some evidence <strong>of</strong> the<br />

narrow pass-b<strong>and</strong> at 550 Hz <strong>and</strong> there is no doubt about the considerable pass-b<strong>and</strong> frequency<br />

at 1100 Hz in the measured spectra. There is no sign <strong>of</strong> the predicted attenuation, nor the passb<strong>and</strong><br />

holes, at frequencies above 1.5 kHz in the measured spectrum. There is also no evidence<br />

from the empirical solution <strong>of</strong> the reason for the attenuation in the measured spectrum <strong>of</strong> the<br />

fundamental pulsation frequency <strong>of</strong> 133 Hz, as commented on in Sec. 8.4.2. The general<br />

conclusion as far as SYSTEM 2 is concerned is that Prog.8.1 is a useful empirical design<br />

calculation method for a diffusing silencer up to a frequency <strong>of</strong> 1.5 kHz.<br />

The measured noise characteristics <strong>of</strong> SYTEM 3 are shown in Fig. 8.5. The attenuation <strong>of</strong><br />

SYSTEM 3, as predicted by the theory <strong>of</strong> Fukuda <strong>and</strong> shown in Fig. 8.13, has a first major<br />

A<br />

T<br />

T 40<br />

E<br />

N<br />

U<br />

A 30<br />

T<br />

!<br />

0<br />

N 20<br />

dB<br />

10<br />

50 DESIGN FOR A DIFFUSING SILENCER<br />

0<br />

CALCULATION BY Prog.8.1<br />

DATA FROM Coates/Blair SYSTEM 2<br />

1000<br />

FREQUENCY, Hz<br />

INPUT DATA<br />

LB= 305<br />

DSB= 76<br />

DS1= 28.6<br />

DS2= 28.6<br />

L1= 0<br />

L2= 0<br />

LT= 152<br />

T2C= 10<br />

3650<br />

I<br />

i—i—i—r"i—|<br />

4000<br />

Fig. 8.12 Calculation by Prog.8.1 for the silencing characteristics <strong>of</strong> SYSTEM 2.<br />

559

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