Acoustical Porous Material Recipes (APMR)

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Sound Transmission Loss of a single partition wall

(the coincidence frequency)

Plane waves,
oblique incidence : °

• thickness mm,
• mass density kg.m-3,
• Young's modulus GPa,
• Poisson's ratio ,
• loss factor

The coincidence frequency is estimated at :
Hz (critical at : Hz).

Wavelengths at Hz

The coincidence frequency occurs when the "projection" of the wavenumber (or the wavelenght) in air on the wall plane ( in reactive document above) corresponds to the bending wavenumber (or wavelength) of the wall () :

The sound transmission loss for diffuse sound field (usually reduced to transmission loss) is the result of the sound transmission loss for all oblique incidences in the range $\theta = [0$   $\pi/2]$ (the wall is considered as isotropic here and only one angle is of interest : $\theta$).

The critical frequency is the frequency of the lowest coincidence effect (i.e. for $\theta = \pi/2$).

For non-isotropic wall, the critical frequency spans on a range of frequencies and is sometimes called the critical valley to illustrate this effect.

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Luc Jaouen (@ljaouen), ISSN 2606-4138.
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