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Frequency Range Attenuation Page 1, 2

Dr. Schultz's Calculations Relating to Tuned Resonant Absorbers are clearly demonstrated. Dr. Schultz writes in his book, "One of the great advantages of perforated metal is that it can be used as an element in a "tuned resonant absorber" to provide remarkably high sound absorption in the targeted frequency range without requiring a large amount of space or absorptive material... the perforated metal is used in combination with a trapped layer of air, in order to modify the acoustical performance of the absorptive material. This is done by setting up an acoustical, resonance condition, which concentrates the sound absorption into a particular frequency range of special interest."

"All resonant devices have a preferred frequency (of oscillation)...In a resonant absorber, the oscillation involves the motion of air particles in and out of the holes in the metal sheet in response to an incident sound wave. The preferred frequency of this oscillation is determined by the mass of the air in the perforations and the springiness of the trapped air layer." "At that resonance frequency, the air moves violently in and out of the holes, which pumps air particles back and forth vigorously within the adjacent sound absorptive layer.

There, the acoustic energy (carried by the back-and-forth motion of the air particles) is converted by the friction into heat and is thereby removed from the acoustical scene."

He cites as an example the power transformer which emits a well-defined sound concentrated around 120Hz. An effective barrier to this sound might require a six-inch layer of sound absorptive blanket. But, the use of perforated metal to make a resonant absorber especially tuned to 120Hz can achieve efficient sound absorption at that frequency with only a thin layer of absorptive material.

"If there is a clearly perceptible pure tone or a prominent frequency, (a squeal, hum or whine, as opposed to a whoosh or roar), this is a good
indication that the disturbing noise is concentrated in a limited frequency range and a tuned resonant sound absorber is called for."

 

Calculating The Design Parameters
Of The Tuned Absorber

Having determined the desired frequency for maximum absorption, the Nomogram
shown below can be used to calculate the specifications for a tuned absorber to attenuate that frequency. Use of the Nomogram is described in detail below, in the discussion of the Riverbank tests.

The Nomogram works equally well whether you are starting with a desired target frequency range or with a set of constraints relating to available spacer or perforated metal.

The Riverbank Tests

The Riverbank Tests used a test specimen that comprised the basic elements of a Tuned Resonant Absorber, which is illustrated below. The test specimen was two-chambered to provide for comparative experiments. The elements included a sheet of perforated metal backed by a layer of aluminum honeycomb with 1" cells into which fiberglass had been pressed; the thickness of this layer varied in the tests from 1" to 4". This assembly was placed at the top of a box, which was 4" deep from the underside of the perforated sheet to the bottom of the box. Important note: Dr. Schultz points out, "It makes a very important difference whether the airspace behind the (perforated) sheet is continuous or divided into small cells by means of partitions."

There, the acoustic energy (carried by the back-and-forth motion of the air particles) is converted by the friction into heat and is thereby removed from the acoustical scene."

He cites as an example the power transformer which emits a well-defined sound concentrated around 120Hz. An effective barrier to this sound might require a six-inch layer of sound absorptive blanket. But, the use of perforated metal to make a resonant absorber especially tuned to 120Hz can achieve efficient sound absorption at that frequency with only a thin layer of absorptive material.

"If there is a clearly perceptible pure tone or a prominent frequency, (a squeal, hum or whine, as opposed to a whoosh or roar), this is a good
indication that the disturbing noise is concentrated in a limited frequency range and a tuned resonant sound absorber is called for."


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