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A Model of Open-Baffle Loudspeakers - DIY Audio Projects

A Model of Open-Baffle Loudspeakers - DIY Audio Projects

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Figure 10. The parameters describing the average distance from the edge.<br />

For a rectangular baffle the distance can be written as<br />

Equation 13 r(0) = & ,<br />

where r, is the distance from the edge under study and 8 the angle calculated for that particular<br />

edge. If the edge is delimited by angles 8,,, and 0,,, then the average distance is<br />

Equation 14<br />

Taking the uppermost edge as an example, the minimum and maximum angles for an edge can be<br />

defined from the geometry <strong>of</strong> the baffle as<br />

Equation 15<br />

X0<br />

%in = -arcsin<br />

x0” +Y;<br />

0 = arcsin Xl ’<br />

max<br />

x: +Y:<br />

from which the average distance for this particular edge can be written as<br />

Equation 16 rave, r =<br />

1<br />

11<br />

Xl X0<br />

arcsin + arcsin<br />

xf +yo2 4 +Yo2<br />

Repeating this for other edges yields the total average distance, from which can be computed the<br />

estimate for the on-axis sound pressure at distance r<br />

. 2<br />

Equation 17 p = zp~~~<br />

13

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