A spectral problem arising in fluid-solid structures

DOI10.1016/0045-7825(88)90189-2zbMath0669.73071OpenAlexW2139049794MaRDI QIDQ1119065

M. Conca, Muthusamy Vanninathan

Publication date: 1988

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(88)90189-2

zbMATH Keywords

Laplace equationnonlocal boundary conditionincompressible perfect fluidasymptotic behaviour of the spectrumconvergence of spectral familiesperiodic tube bundle

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Thin bodies, structures (74K99)

Related Items

Bloch wave homogenization and spectral asymptotic analysis ⋮ A Decomposition Result for the Pressure of a Fluid in a Thin Domain and Extensions to Elasticity Problems ⋮ Un problème de fréquences propres en couplage fluide-structure. (An eigenfrequencies problem for fluid-structure interaction) ⋮ Homogenization and Bloch wave method for fluid tube bundle interaction ⋮ A quadratic eigenvalue problem involving Stokes equations ⋮ Fourier approach to homogenization problems ⋮ Bloch-wave homogenization for a spectral problem in fluid-solid structures ⋮ Existence and location of eigenvalues for fluid-solid structures

Cites Work

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• Natural frequencies of tube bundle in an incompressible fluid
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• Structure of the set of stationary solutions of the navier‐stokes equations
• Free vibration of clusters of cylinders in liquid-filled channels
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