Finite element solution of incompressible fluid-structure vibration problems
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...
| Autor principal: | |
|---|---|
| Publicado: |
1997
|
| Materias: | |
| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00295981_v40_n8_p1435_Bermudez http://hdl.handle.net/20.500.12110/paper_00295981_v40_n8_p1435_Bermudez |
| Aporte de: |
| id |
paper:paper_00295981_v40_n8_p1435_Bermudez |
|---|---|
| record_format |
dspace |
| spelling |
paper:paper_00295981_v40_n8_p1435_Bermudez2023-06-08T14:55:27Z Finite element solution of incompressible fluid-structure vibration problems Duran, Ricardo Guillermo Finite elements Fluid-structure Hydroelasticity Spectral problems Spurious modes Vibrations Eigenvalues and eigenfunctions Elasticity Finite element method Kinematics Lagrange multipliers Phase interfaces Spectrum analysis Vibrations (mechanical) Displacement variables Fluid solid interface Incompressible fluid elastic structure Linear triangular finite elements Fluid structure interaction finite element method incompressible fluids stream functions 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. Fil:Durán, R. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1997 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00295981_v40_n8_p1435_Bermudez http://hdl.handle.net/20.500.12110/paper_00295981_v40_n8_p1435_Bermudez |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Finite elements Fluid-structure Hydroelasticity Spectral problems Spurious modes Vibrations Eigenvalues and eigenfunctions Elasticity Finite element method Kinematics Lagrange multipliers Phase interfaces Spectrum analysis Vibrations (mechanical) Displacement variables Fluid solid interface Incompressible fluid elastic structure Linear triangular finite elements Fluid structure interaction finite element method incompressible fluids stream functions |
| spellingShingle |
Finite elements Fluid-structure Hydroelasticity Spectral problems Spurious modes Vibrations Eigenvalues and eigenfunctions Elasticity Finite element method Kinematics Lagrange multipliers Phase interfaces Spectrum analysis Vibrations (mechanical) Displacement variables Fluid solid interface Incompressible fluid elastic structure Linear triangular finite elements Fluid structure interaction finite element method incompressible fluids stream functions Duran, Ricardo Guillermo Finite element solution of incompressible fluid-structure vibration problems |
| topic_facet |
Finite elements Fluid-structure Hydroelasticity Spectral problems Spurious modes Vibrations Eigenvalues and eigenfunctions Elasticity Finite element method Kinematics Lagrange multipliers Phase interfaces Spectrum analysis Vibrations (mechanical) Displacement variables Fluid solid interface Incompressible fluid elastic structure Linear triangular finite elements Fluid structure interaction finite element method incompressible fluids stream functions |
| description |
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. |
| author |
Duran, Ricardo Guillermo |
| author_facet |
Duran, Ricardo Guillermo |
| author_sort |
Duran, Ricardo Guillermo |
| title |
Finite element solution of incompressible fluid-structure vibration problems |
| title_short |
Finite element solution of incompressible fluid-structure vibration problems |
| title_full |
Finite element solution of incompressible fluid-structure vibration problems |
| title_fullStr |
Finite element solution of incompressible fluid-structure vibration problems |
| title_full_unstemmed |
Finite element solution of incompressible fluid-structure vibration problems |
| title_sort |
finite element solution of incompressible fluid-structure vibration problems |
| publishDate |
1997 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00295981_v40_n8_p1435_Bermudez http://hdl.handle.net/20.500.12110/paper_00295981_v40_n8_p1435_Bermudez |
| work_keys_str_mv |
AT duranricardoguillermo finiteelementsolutionofincompressiblefluidstructurevibrationproblems |
| _version_ |
1768543981001506816 |