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FINITE ELEMENT SOLUTION OF INCOMPRESSIBLE FLUID–STRUCTURE VIBRATION PROBLEMS
Author(s) -
BERMÚDEZ ALFREDO,
DURÁN RICARDO,
RODRÍGUEZ RODOLFO
Publication year - 1997
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/(sici)1097-0207(19970430)40:8<1435::aid-nme119>3.0.co;2-p
Subject(s) - finite element method , compressibility , mathematics , spurious relationship , displacement (psychology) , eigenvalues and eigenvectors , computation , lagrange multiplier , mathematical analysis , fluid–structure interaction , vibration , stream function , kinematics , geometry , mechanics , classical mechanics , physics , structural engineering , mathematical optimization , engineering , algorithm , psychology , vorticity , statistics , quantum mechanics , vortex , psychotherapist
In this paper we solve an eigenvalue problem arising from the computation of the vibrations of a coupled system, incompressible fluid – elastic structure, in absence of external forces. We use displacement variables for both the solid and the fluid but the fluid displacements are written as curls of a stream function. Classical linear triangular finite elements are used for the solid displacements and for the stream function in the fluid. The kinematic transmission conditions at the fluid–solid interface are taken into account in a weak sense by means of a Lagrange multiplier. The method does not present spurious or circulation modes for non‐zero frequencies. Numerical results are given for some test cases. © 1997 by John Wiley & Sons, Ltd.