Artículo
Bermúdez, A.; Durán, R.; Rodrĺguez, R. "Finite element solution of incompressible fluid-structure vibration problems" (1997) International Journal for Numerical Methods in Engineering. 40(8):1435-1448
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Abstract:
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.
Registro:
| Documento: | Artículo |
| Título: | Finite element solution of incompressible fluid-structure vibration problems |
| Autor: | Bermúdez, A.; Durán, R.; Rodrĺguez, R. |
| Filiación: | Depto. de Matemática Aplicada, Univ. de Santiago de Compostela, 15706 Santiago de Compostela, Spain Deparlamenta de Matemática, Fac. de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina Consejo Nac. de Invest. Cie. y Tec., Argentina Departamento de Matemática, Facultad de Ciencias Exactas, Univ. Nac. de La Plata, C. C. 172, 1900 La Plata, Argentina Depto. de Ing. Matemática, Universidad de Conception, Casilla 4009, Concepción, Chile |
| Palabras clave: | 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 |
| Año: | 1997 |
| Volumen: | 40 |
| Número: | 8 |
| Página de inicio: | 1435 |
| Página de fin: | 1448 |
| DOI: | http://dx.doi.org/10.1002/(SICI)1097-0207(19970430)40:8<1435::AID-NME119>3.0.CO;2-P |
| Título revista: | International Journal for Numerical Methods in Engineering |
| Título revista abreviado: | Int. J. Numer. Methods Eng. |
| ISSN: | 00295981 |
| CODEN: | IJNMB |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00295981_v40_n8_p1435_Bermudez |
Referencias:
- Morand, H.J.-P., Ohayon, R., (1992) Interactions Fluides-Structures, Recherches en Mathématiques Appliquées, 23. , Masson, Paris
- Hamdi Y Ouset, M., Verchery, G., A displacement method for the analysis of vibrations of coupled fluid-structure systems (1978) Int. J. Numer. Methods Eng., 13, pp. 139-150
- Bermúdez, A., Rodríguez, R., Finite element computation of the vibration modes of a fluid-solid system (1994) Comput. Methods Appl. Mech. Eng., 119, pp. 355-370
- Chen, H.C., Taylor, R.L., Vibration analysis of fluid-solid systems using a finite element displacement formulation (1990) Int. J. Numer. Methods Eng., 29, pp. 683-698
- Bermúdez, A., Durán, R., Muschietti, M.A., Rodríguez, R., Solomin, J., Finite element vibration analysis of fluid-solid systems without spurious modes (1995) SIAM J. Numer. Anal., 32, pp. 1280-1295
- Bermúdez, A., Durán, R., Rodríguez, R., Finite element analysis of compressible and incompressible fluid-solid systems Math. Comput., , submitted
- Rodríguez, R., Solomin, J., The order of convergence of eigenfrequencies in F.E. approximations of fluid-structure interaction problems Math. Comput., , to appear
Citas:
---------- APA ----------
Bermúdez, A., Durán, R. & Rodrĺguez, R. (1997) . Finite element solution of incompressible fluid-structure vibration problems. International Journal for Numerical Methods in Engineering, 40(8), 1435-1448.http://dx.doi.org/10.1002/(SICI)1097-0207(19970430)40:8<1435::AID-NME119>3.0.CO;2-P
---------- CHICAGO ----------
Bermúdez, A., Durán, R., Rodrĺguez, R. "Finite element solution of incompressible fluid-structure vibration problems" . International Journal for Numerical Methods in Engineering 40, no. 8 (1997) : 1435-1448.http://dx.doi.org/10.1002/(SICI)1097-0207(19970430)40:8<1435::AID-NME119>3.0.CO;2-P
---------- MLA ----------
Bermúdez, A., Durán, R., Rodrĺguez, R. "Finite element solution of incompressible fluid-structure vibration problems" . International Journal for Numerical Methods in Engineering, vol. 40, no. 8, 1997, pp. 1435-1448.http://dx.doi.org/10.1002/(SICI)1097-0207(19970430)40:8<1435::AID-NME119>3.0.CO;2-P
---------- VANCOUVER ----------
Bermúdez, A., Durán, R., Rodrĺguez, R. Finite element solution of incompressible fluid-structure vibration problems. Int. J. Numer. Methods Eng. 1997;40(8):1435-1448.http://dx.doi.org/10.1002/(SICI)1097-0207(19970430)40:8<1435::AID-NME119>3.0.CO;2-P
