The effect of an enclosed air cavity on a rectangular drum

DOI10.1017/S0334270000002964zbMath0497.73063OpenAlexW2317743950MaRDI QIDQ3962592

H. P. W. Gottlieb

Publication date: 1983

Published in: The Journal of the Australian Mathematical Society. Series B. Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0334270000002964

zbMATH Keywords

Green's function formulationnatural vibration frequenciesrectangular membranedrumanalytic expression for first-order correction to frequenciescase of degenerate modeseffect of enclosed air cavityodd-odd modessolved to first order

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Membranes (74K15)

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