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Oct 2007

Volume 122, Issue 4, pp. 1845-EL141

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Optimal poroelastic layer sequencing for sound transmission loss maximization by topology optimization method

Joong Seok Lee, Eun Il Kim, Yoon Young Kim, Jung Soo Kim, and Yeon June Kang

J. Acoust. Soc. Am. Volume 122, Issue 4, pp. 2097-2106 (2007); (10 pages) | Cited 2 times

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Show Abstract
Optimal layer sequencing of a multilayered acoustical foam is solved to maximize its sound transmission loss. A foam consisting of air and poroelastic layers can be optimized when a limited amount of a poroelastic material is allowed. By formulating the sound transmission loss maximization problem as a one-dimensional topology optimization problem, optimal layer sequencing and thickness were systematically found for several single and ranges of frequencies. For optimization, the transmission losses of air and poroelastic layers were calculated by the transfer matrix derived from Biot’s theory. By interpolating five intrinsic parameters among several poroelastic material parameters, distinct air-poroelastic layer distributions were obtained; no filtering or postprocessing was necessary. The optimized foam layouts by the proposed method were shown to differ depending on the frequency bands of interest.
Show PACS
43.55.Ti Sound-isolating structures, values of transmission coefficients
43.20.Gp Reflection, refraction, diffraction, interference, and scattering of elastic and poroelastic waves
43.20.El Reflection, refraction, diffraction of acoustic waves
43.55.Rg Sound transmission through walls and through ducts: theory and measurement
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