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• W2794330172 endingPage "20170894" @default.
• W2794330172 startingPage "20170894" @default.
• W2794330172 abstract "We present a model based on a two-scale asymptotic analysis for resonant arrays of the Helmholtz type, with resonators open at a single extremity (standard resonators) or open at both extremities (double-sided resonators). The effective behaviour of such arrays is that of a homogeneous anisotropic slab replacing the cavity region, associated with transmission, or jump, conditions for the acoustic pressure and for the normal velocity across the region of the necks. The coefficients entering in the effective wave equation are simply related to the fraction of air in the periodic cell of the array. Those entering in the jump conditions are related to near field effects in the vicinity of the necks and they encapsulate the effects of their geometry. The effective problem, which accounts for the coupling of the resonators with the surrounding air, is written in the time domain which allows us to question the equation of energy conservation. This is of practical importance if the numerical implementations of the effective problem in the time domain is sought." @default.
• W2794330172 created "2018-03-29" @default.
• W2794330172 creator A5001330069 @default.
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• W2794330172 date "2018-02-01" @default.
• W2794330172 modified "2023-10-18" @default.
• W2794330172 title "Modelling resonant arrays of the Helmholtz type in the time domain" @default.
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• W2794330172 doi "https://doi.org/10.1098/rspa.2017.0894" @default.
• W2794330172 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/5832846" @default.
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• W2794330172 hasPublicationYear "2018" @default.
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