Vibrations of a heavily loaded, semi-infinite, cylindrical elastic shell. I

DOI10.1098/RSPA.1986.0112zbMath0602.73042OpenAlexW4242587776MaRDI QIDQ3738673

Jane B. Lawrie

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1098/rspa.1986.0112

zbMATH Keywords

exact solutionWiener-Hopf techniqueHelmholtz equationlong wavesasymptotic limitcontour integralswaveguidepower balancetravelling-wave solutionsfar fieldheavy fluid loadingcylindrical polar coordinatesplane acoustic waveinviscid, compressible fluidaxisymmetric coupled motionfactorized Wiener-Hopf kernelhalf-range Fourier transformshollow cylindrical ductq(sub o) moderigidly bondedsemi-infinite cylindrical elastic shell

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) Dynamical problems in solid mechanics (74H99) Elastic materials (74B99)

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