Transition surfaces for short-wave vibrations of an ellipsoidal shell in a fluid

DOI10.1016/0021-8928(85)90081-4zbMath0614.73052OpenAlexW2055990767MaRDI QIDQ1819999

A. L. Popov, G. N. Chernyshev

Publication date: 1985

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(85)90081-4

zbMATH Keywords

asymptotic solutionHelmholtz equationacoustic pressure modeclosed ellipsoidal elastic shell of revolutionRegularitiesresonance short-wave vibrations

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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (5)

Free vibration analysis of shallow and deep ellipsoidal shells having variable thickness with and without a top opening ⋮ Vibration analysis of solid ellipsoids and hollow ellipsoidal shells of revolution with variable thickness from a three-dimensional theory ⋮ Method of extracting singularities in the problem of the hydroelastic vibrations of a shell excited by concentrated forces ⋮ Free vibrations of solid and hollow hemi-ellipsoids of revolution from a three-dimensional theory ⋮ Transition surfaces for short-wave vibrations of an ellipsoidal shell in a fluid

Cites Work

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• Transition surfaces for short-wave vibrations of an ellipsoidal shell in a fluid

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