Decoupling procedures for fluid-structure interaction problems
type: Item
instance of: scholarly article
title: Decoupling procedures for fluid-structure interaction problems
zbMATH Open document ID: 0653.73036
DOI: 10.1016/0045-7825(88)90178-8
author: Ioannis Antoniadis
author: Andreas E. Kanarachos
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1988-01-01T00:00:00Z
review text: Methods for decoupling of acoustoelastic fluid-structure interaction problems in the frequency domain are developed and discussed in a systematic way. Rayleigh-Ritz transformations of the four condensed symmetric forms of the initial nonsymmetric system are obtained, using full and reduced basis vector sets. The reduced transformations are then compared to the Guyan-Irons reduction (first-order approximation) of the full transformations, establishing some necessary conditions for the choice of the basis vectors. Eigenvectors from various structure and fluid eigenproblems are then considered as special choices for the Rayleigh-Ritz basis vectors. Finally, effective decoupling computational procedures are proposed, that can be implemented using standard black-box structural analysis codes. They utilize the eigenvalues of the in vacuo and acoustic eigenproblems and allow the solution not only of the fully coupled eigenproblem, but also of the other limit case eigenproblems encountered (the incompressible fluid being just one of them). In the appendices, modal transformations of the second added mass matrix are derived and relations between the eigenvalues of several eigenproblems are established.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74F10
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 65N06
zbMATH DE Number: 4066477
zbMATH Keywords: acoustoelastic fluid-structure interaction
zbMATH Keywords: frequency domain
zbMATH Keywords: Rayleigh- Ritz transformations
zbMATH Keywords: four condensed symmetric forms
zbMATH Keywords: initial nonsymmetric system
zbMATH Keywords: full and reduced basis vector sets
zbMATH Keywords: reduced transformations
zbMATH Keywords: Guyan-Irons reduction
zbMATH Keywords: first-order approximation
zbMATH Keywords: Eigenvectors
zbMATH Keywords: eigenproblems
zbMATH Keywords: decoupling computational procedures
zbMATH Keywords: standard black-box structural analysis codes
MaRDI profile type: Publication
full work available at URL: 0045-7825(88)90178-8
OpenAlex ID: W2026531719
cites work: Errata
cites work: Automatic node resequencing with constraints
cites work: Fluid-structure interaction: A general method used in the ceasemt computer programs
cites work: Simplified analysis of linear fluid-structure interaction
cites work: Modal methods in finite element fluid-structure eigenvalue problems
cites work: Substructure variational analysis of the vibrations of coupled fluid-structure systems. Finite element results
cites work: Q3714586
cites work: Symmetrization of the contained compressible-fluid vibration eigenproblem
cites work: Q4140442
cites work: Error bounds for eigenvalue analysis by elimination of variables
cites work: Structural analogies for scalar field problems
description: scientific article; zbMATH DE number 4066477