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Design and Simulation of Two Stroke Engines

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<strong>Design</strong> <strong>and</strong> <strong>Simulation</strong> <strong>of</strong> <strong>Two</strong>-<strong>Stroke</strong> <strong>Engines</strong><br />

DM<br />

ia--<br />

• --<br />

4--<br />

ORIOINAL PROTOTVf if<br />

PRODUCTION tlLINC**<br />

400<br />

FRIOUINCY (Hx)<br />

• 00<br />

Fig. 8.17 Attenuation characteristics <strong>of</strong> an intake silencer for the<br />

OMC V8 outboard (from Ref [1.12]).<br />

This type <strong>of</strong> silencer is known as a low-pass device <strong>and</strong> has no silencing capability below<br />

its lowest resonating frequency. The sharp drop in noise attenuation behavior associated with<br />

this effect is clearly seen in Fig. 8.17 for the OMC V8 outboard motor, which has a lowest<br />

resonating frequency <strong>of</strong> about 200 Hz (8 cylinders at a minimum full throttle operating speed<br />

<strong>of</strong> 1500 rpm is equivalent to 200 Hz as a fundamental frequency).<br />

The natural frequency <strong>of</strong> this type <strong>of</strong> silencer [1.8] is given by fj, where:<br />

Ar<br />

LeffVb<br />

(8.5.17)<br />

where the effective length <strong>of</strong> the intake pipe, Leff, is related to the actual length, Lp, <strong>and</strong> the<br />

diameter, dp, by:<br />

'eff L„ + (8.5.18)<br />

The design <strong>of</strong> the silencer is accomplished by setting this natural frequency <strong>of</strong> the silencer,<br />

fj, to correspond to the natural frequency <strong>of</strong> the induction pulses from the engine, fe.<br />

Returning to the attenuation behavior <strong>of</strong> the intake silencer <strong>of</strong> the OMC V8 engine outboard<br />

motor in Fig. 8.17, it can be seen that the peak transmission losses occur in two distinct<br />

b<strong>and</strong>s, i.e., at 100 Hz <strong>and</strong> 500 Hz, a ratio <strong>of</strong> five; the lower absorption frequency at 100 Hz<br />

fundamentally corresponds to an engine speed <strong>of</strong> 750 rpm.<br />

From this discussion, it is clear that the engine forcing frequency <strong>of</strong> direct design interest,<br />

fe, is that corresponding to the engine speed <strong>of</strong> rotation <strong>and</strong> the number <strong>of</strong> cylinders,<br />

568

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