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A displacement method for the analysis of vibrations of coupled fluid‐structure systems
Author(s) -
Hamdi Mohamed Ali,
Ousset Yves,
Verchery Georges
Publication year - 1978
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620130110
Subject(s) - eigenvalues and eigenvectors , discretization , displacement (psychology) , finite element method , vibration , mathematics , compressibility , fluid–structure interaction , mathematical analysis , matrix (chemical analysis) , positive definite matrix , mechanics , physics , structural engineering , materials science , acoustics , engineering , psychology , quantum mechanics , composite material , psychotherapist
A variational principle in terms of displacements in the fluid and the structure with a penalty for irrotationality of displacement in the fluid is developed for the analysis of harmonic vibrations of ideal compressible fluid and elastic structure systems. Its Discretization by the finite element method leads to an algebraic eigenvalue problem with a positive definite symmetric banded matrix. Numerical examples obtained for pure acoustic cases and coupled cases show the efficiency of the method.