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Frequency Range Attenuation Page 1, 2,

Nomogram 1 and Charts 7 and 8 illustrate a test which used an aluminum sheet .080" thick perforated with 1/8" (.125) holes on 2 1/4" straight row centers providing an open area of .2437%. The Nomogram elements for this test, therefore were:

t = The thickness of the sheet = .080"

e = The effective throat-length of the holes in the perforated sheet,
(t + .89d) = .080 + (.125X.8) = .18”

h = The distance from the perforated sheet to the backing = 4"

p = The percentage of Open Area,
(O.A.) = .2437%

To determine the target frequency which this Tuned Resonant Absorber will
attenuate using the Nomograph, first calculate the "e" dimension, which is.18”.

Using a ruler, connect the point .18” on the "e" scale with the point .2437% on the p scale, (it will be necessary to estimate the position of this point on the Nomograph). Now place your ruler on the point where this line crosses the M line and draw a line to the 4" position on the "h" scale. Where this line crosses the "f' scale, you'll find the target frequency that should be most highly attenuated by this Tuned Resonant Absorber.

The target frequency in this test was determined to be 125Hz.

Charts 7 and 8 reporting on the results of two tests conducted by Riverbank Labs, the first with a 1" thick absorbing layer and second with a 4" thick absorbing layer, demonstrate clearly the effectiveness of the Tuned Resonant Absorber principle and the accuracy of Dr. Schultz's methods and Nomograph for determining the components of an efficient system.

Chart 7 illustrates the test results for the TRA using a 1" thick absorbing layer. The target frequency is clearly 125Hz; a "Sound Absorption Coefficient" of 1.0 is very close to 100% efficiency.

Chart 8 illustrating the test using a 4" sound absorbing layer, shows a slight shift to 100 Hz as the frequency most efficiently attenuated though 125Hz is also efficiently removed, as well. It also illustrates an overall increase in sound absorbed. Both of these results can be attributed to the thicker sound absorbing layer.

 

Chart 9 with Nomogram 2 depicts a test with different elements: A sheet of 26 gauge galvanized steel perforated with .046" diameter holes on .266" staggered centers providing a 2.7% open area mounted on a 2" thick layer of fiberglass/honeycomb. The 4" dimension for "h" remained the same.

t 26 gauge = .0179

e .0179 + (.046 X .8) = .0547

p 2.7%

h 4"

Referring to Nomogram 2, the target
frequency works out to be approximately 750Hz.

Chart 9 shows that in this test the
frequencies between 400Hz and 800Hz were absorbed above the 1.0 coefficient and the frequency bands for 315Hz and 1,000 Hz on either side of that range nearly reached that level. The pattern of absorption was broader not as narrowly focused, but, the Tuned Resonant Absorber effect is plainly evident.

In his book, Dr. Schultz explains in detail how a narrowing of the frequency range around the targeted frequency will result from having a shallower air space between the perforated sheet and the solid backing, (scale h on the
nomogram). With a perforated sheet that
provided a higher value on the "e" scale and the same Open Area on the "P" scale in combination with a 2" air space, (h scale), the same target frequency would have been maintained, but a more focused range of frequencies would be attenuated. (See dotted lines on Nomogram 2).

 


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