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Publish Date: Jan 23, 2007


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Measurement of Sound Transmission Loss

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Sound Transmission Loss of a specimen conducted in a pair of reverberation chambers. The sound transmission loss is 10 times the logarithm of the reciprocal of the ratio of the energy transmitted through the specimen to the energy incident on the specimen.

Frequency Range of Interest:
Generally the 1/3 octave bands centered between 100 Hz and 5,000 Hz. The frequency range of interest may be extended downward to the 63 Hz octave band in large chambers and upwards to the 8,000 Hz octave band.

Units:

Transmission Loss (TL) in decibels (dB) in octave or 1/3 octave bands. Also may be expressed in terms of the single number ratings STC, OITC or Rw.
Sound Transmission Coefficient, dimensionless.
Approaches:

Approach 1
Method using Sound Pressure Level and Reverberation Time per ASTM E-90
The measurement of the sound transmission loss of a specimen is based on:

  • The difference in the space/time averaged sound pressure level between the source chamber and the receiving chamber
  • A term that accounts for the area of the test specimen
  • A term that normalizes the difference based on the total absorption of the receiving chamber. The total absorption is determined from a measurement of the reverberation time in the receiving chamber.

The measurement is based on the assumption that the sound fields in the source chamber and receiving chamber are diffuse.

The mathematical relationship is:
TL = Lp(source) – Lp(receive) + 10*log (S/A)

Where:
  • Lp(source) = space/time averaged sound pressure level in the source chamber (in dB re 2 x10-5 Pa)
  • Lp(receive) = space/time averaged sound pressure level in the receive chamber (in dB re 2 x 10-5 Pa)
  • S = surface area of the test specimen (in m2)
  • A = total absorption in receive chamber with the test specimen in place (in metric Sabins=m2)

The major source of measurement uncertainty in the transmission loss measurement are spatial variations in the sound pressure levels in the reverberation chamber, and spatial/temporal variations in the decay rate in the receive chamber. These variations are greatest at low frequencies. This uncertainty is reduced by spatial/temporal sampling of these parameters. A sufficient number of sound pressure level and decay rate samples must be obtained to limit the 95% confidence interval on the transmission loss to the following values:

125 Hz and 160 Hz bands
3 dB
200 Hz and 250 Hz bands
2 dB
315 Hz to 4,000 Hz
1 dB

Advantages/Disadvantages to Approach
+ Covered by International Standards
+ Less intensive instrumentation requirements
+ Measurements over entire frequency range of interest in one pass
- Test facilities requirements (such as two reverberation chambers) are more extensive

Single Number Ratings (STC)
The sound transmission loss of a specimen is often expressed in terms of a single number rating. The most common rating is the Sound Transmission Class (STC) of the specimen. The STC rating is determined in accordance with the calculation procedures of ASTM E413.

The STC rating of a specimen is determined by comparing the 1/3 octave band sound transmission loss data in the bands between 125Hz and 4,000 Hz to a series of standard transmission loss contours. The rating is determined by the contour with the highest vales that fits the transmission loss data as follows:
  • The sum of the deficiencies in all bands is less than or equal to 32 dB
  • The maximum deficiency in any band is less than or equal to 8 dB



Industry Standards
ASTM E90 – Sound Transmission Loss Measurement
ASTM E413 – Calculation of STC
ASTM 1332 – Calculation of OITC
ISO 140-1; ISO 140-2; ISO 140-3 – Sound Transmission Loss Measurement and calculation of Rw

Test Environment
Two reverberation chambers, each with a minimum volume of 50 m3 coupled through a test opening equal to the size of the test specimen. The transmission loss limit of the test facility and any filler walls used to adapt the test specimen to the facility opening shall be known.

Equipment
  • Pink noise generator
  • Power amplifier and speakers with sufficient acoustic power to generate sound pressure levels in the receive chamber that are at least 10 dB above the ambient sound pressure levels in each test band.
  • Microphone(s) with uniform frequency response over frequency range of interest.
  • Integrating, averaging sound level meter with 1/3 octave band filtering.
  • Level versus time analyzer with reverberation time analysis.
System Block Diagram


NI products commonly used for this measurement:
  • The sound pressure level in the source reverberation chamber
  • The average sound intensity radiated by the specimen into the receiving chamber
  • A term to account for the area of the test specimen

The measurement is based on the assumption that the sound fields in the source chamber are diffuse, and that the receiving chamber is a nominally free field environment.

The mathematical relationship is:
TL = Lp(source) - 6 – [Li(receive) + 10*log (S)]

Where:
  • Lp(source) = space/time averaged sound pressure level in the source chamber (in dB re 2 x10-5 Pa)
  • Li(receive) = average sound intensity radiated by the specimen into the receive chamber (in dB re 1 x 10-12 W/m2)
  • S = surface area of the test specimen (in m2)

The constant 6-dB term arises from the fact that the angle of incidence of the energy in the source chamber is random in orientation, and that the sound pressure level in the source chamber is proportional to the total energy incident on the specimen. The integration of a cos term to calculate the energy normally incident on the specimen results in 6 dB difference between the source chamber sound pressure level and the incident sound intensity.

Although measurement of sound transmission loss using this technique has not been standardized, some documentation of the method can be found in the technical literature. Uncertainty in this measurement technique is not well documented and probably will exceed the uncertainty from the E-90 method.

Advantages/Disadvantages to Approach
- Not covered by International Standards
- Requires more complex instrumentation and data analysis
- May require more than one pass to cover entire frequency range of interest
+ Test facilities less extensive

Equipment
  • Pink noise generator
  • Power amplifier and speakers with sufficient acoustic power to generate sound pressure levels in the receive chamber that are at least 10 dB above the ambient sound pressure levels in each test band.
  • Microphone(s) with uniform frequency response over frequency range of interest.
  • Integrating, averaging sound level meter with 1/3 octave band filtering.
  • Two (2) phase-matched microphone(s) with uniform frequency response over frequency range of interest (intensity probe)
  • Dual channel analyzer with cross-spectrum analysis and 1/3 octave band filtering.
System Block Diagram



Measurement Flowchart


NI products commonly used for this measurement:

Related NI Products:

Information Contributed By: David A. Nelson, P.E., INCE Bd. Cert. Nelson Acoustical Engineering, Inc. specializes in noise and vibration control, sound quality, laboratory facilities and test control systems, and instruction related to plants, buildings, laboratories, products, and machinery.

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Reader Comments | Submit a comment »

Dear David After I have read your notes about sound absorption coefficient (alpha) and transmission Loss (TL) I have some a doubt. When you ask for information to the acoustic foam manufacturers, they send you the third octave values of de alpha and TL. My doubt is: How can I convert these values from 1/3 octave band to 1/1 octave band? Have I to use the same procedure as if I would be converting a noise espectra from 1/3 to 1/1 octave band?(10*log(sum(10^(0.1*Li))) I ask you because if we use the same method as to sum noise spectra (10*log...) the value of TL in 1/1 would be always greater than 1/3 octave values, so we have more insulation than in reality. In the case of de alpha, the values are adimensional so I don´t know if I have to do and average y the frequency band. Can you help me please. Thank you Best regards, Aitor
- Nov 10, 2009

 

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