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Vibration analysis of fluid–solid systems using a finite element displacement formulation
Author(s) -
Chen Harn C.,
Taylor Robert L.
Publication year - 1990
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.1620290402
Subject(s) - inviscid flow , finite element method , vibration , spurious relationship , mass matrix , displacement (psychology) , compatibility (geochemistry) , fluid–structure interaction , mixed finite element method , added mass , mechanics , rigid body , classical mechanics , mathematical analysis , mathematics , physics , structural engineering , engineering , acoustics , statistics , chemical engineering , neutrino , nuclear physics , psychotherapist , psychology
This report presents a finite element solution for the vibration interaction between an inviscid fluid and a solid. The equation of motion governing the inviscid fluid is expressed in terms of the displacements. This ensures that compatibility and equilibrium will be satisfied automatically along the interface of the coupled systems. To suppress circulation modes with non‐zero energy, reduced integration is used when computing the element stiffness matrix contributed by the fluid. In addition, a projection is used on the element mass matrix in order to remove the spurious modes which result from the use of reduced integration. Numerical examples for both fluid and coupled fluid–solid systems are performed and the results are shown.