The scattering properties of a membrane constrained on a small circular region

DOI10.1098/RSPA.1999.0393zbMath0935.76079OpenAlexW2115302890MaRDI QIDQ4262182

F. G. Leppington, W. M. Pang

Publication date: 29 November 1999

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1999.0393

zbMATH Keywords

asymptotic solutiontransverse vibrationsfluid loadingmatched expansionstime-harmonic sound waveacoustic wavenumberconstrained membraneradian frequencysmall disc limit

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Hydro- and aero-acoustics (76Q05) Membranes (74K15)

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