2012
DOI: 10.1121/1.4728188
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An application of the Peano series expansion to predict sound propagation in materials with continuous pore stratification

Abstract: This work reports on an application of the state vector (Stroh) formalism and Peano series expansion to solve the problem of sound propagation in a material with continuous pore stratification. An alternative Biot formulation is used to link the equivalent velocity in the oscillatory flow in the material pores with the acoustic pressure gradient. In this formulation, the complex dynamic density and bulk modulus are predicted using the equivalent fluid flow model developed by Horoshenkov and Swift [J. Acoust. S… Show more

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Cited by 14 publications
(14 citation statements)
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“…To avoid some of the limitations discussed above, it is common to use some optimization method to determine indirectly the input parameters that let the acoustic model obtain the best fit to the impedance tube measurements (40,41). This procedure is also recurrently used when any of the previous physical parameters are difficult to measure or cannot be properly determined, as it was in the current investigation for the tortuosity.…”
Section: Inverse Numerical Methodsmentioning
confidence: 99%
“…To avoid some of the limitations discussed above, it is common to use some optimization method to determine indirectly the input parameters that let the acoustic model obtain the best fit to the impedance tube measurements (40,41). This procedure is also recurrently used when any of the previous physical parameters are difficult to measure or cannot be properly determined, as it was in the current investigation for the tortuosity.…”
Section: Inverse Numerical Methodsmentioning
confidence: 99%
“…Increased accuracy is obtained by discretization and a higher order numerical scheme. Other possible numerical schemes, such as the Peano series [24,25] are also possible although not applied here.…”
Section: The Transfer Matrix Methodsmentioning
confidence: 99%
“…where I is the identity matrix of dimension 6×6. If the matrix K( ) is bounded in the study interval, these series are always convergent [37,40]. This solution to (14) is exact and unique.…”
mentioning
confidence: 91%