On the vibration problem for an elastic body surrounded by a slightly compressible fluid

DOI10.1051/m2an/1983170303111zbMath0513.73055OpenAlexW2485975261MaRDI QIDQ3659274

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Publication date: 1983

Published in: RAIRO. Analyse numérique (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193420

zbMATH Keywords

incompressible fluidasymptotic behaviourscattering theoryimplicit function theoremelastic bounded bodyimmersed in ideal fluidscattering frequencies converge as epsilon -> 0 to eigenfrequencies of selfadjoint problemsmall compressibility

Mathematics Subject Classification ID

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

Related Items (8)

Asymptotic study of the vibration problem for an elastic body deeply immersed in an incompressible fluid ⋮ A Sufficient Condition for the Absence of Two-Dimensional Instabilities of an Elastic Plate in a Duct with Compressible Flow ⋮ Spectral perturbations in linear viscoelasticity of the Boltzmann type ⋮ Interaction between thermoelastic and scalar oscillation fields ⋮ Unnamed Item ⋮ Finite element analysis of compressible and incompressible fluid-solid systems ⋮ Asymptotics of the scattering frequencies for a thermoelasticity problem with small thermal conductivity ⋮ Minnaert Resonances for Bubbles in Soft Elastic Materials

Cites Work

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• Non-homogeneous media and vibration theory
• Meromorphic families of compact operators
• On the limiting behaviour of solutions to boundary integral equations associated with time harmonic wave equations for small frequencies
• The effect of viscosity on free vibrations of submerged fluid-filled spherical shells
• Sur les fréquences de diffusion (scattering) d'un corps élastique couplé avec l'air
• Substructure variational analysis of the vibrations of coupled fluid-structure systems. Finite element results

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