Finite element solution of incompressible fluid-structure vibration problems

International Journal for Numerical Methods in Engineering

Volumn 40, Issue 8, 1997, Pages 1435-1448

  Bermúdez, Alfredo ^a   Durán, Ricardo ^b,c   Rodrĺguez, Rodolfo ^d,e  

^a UNIVERSITY OF SANTIAGO DE COMPOSTELA   (Spain)

^b UNIVERSIDAD DE BUENOS AIRES   (Argentina)

^c Facultad de Ciencias Naturales e Instituto M Lillo   (Argentina)

^d FACULTAD DE CIENCIAS EXACTAS   (Argentina)

^e UNIVERSITY OF CONCEPCIÓN   (Chile)

Author keywords

Finite elements; Fluid structure; Hydroelasticity; Spectral problems; Spurious modes; Vibrations

Indexed keywords

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;

EID: 0031127285     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19970430)40:8<1435::AID-NME119>3.0.CO;2-P     Document Type: Article

References (7)

1. H. J.-P. Morand and R. Ohayon, Interactions Fluides-Structures, Recherches en Mathématiques Appliquées, vol. 23, Masson, Paris, 1992.
2. M. Hamdi, Y. Ouset and G. Verchery, 'A displacement method for the analysis of vibrations of coupled fluid-structure systems', Int. j. numer. methods eng., 13, 139-150 (1978).
3. A. Bermúdez and R. Rodríguez, 'Finite element computation of the vibration modes of a fluid-solid system', Comput. Methods Appl. Mech. Eng., 119, 355-370 (1994).
4. H. C. Chen and R. L. Taylor, 'Vibration analysis of fluid-solid systems using a finite element displacement formulation', Int. j. numer. methods eng., 29, 683-698 (1990).
5. A. Bermúdez, R. Durán, M. A. Muschietti, R. Rodríguez and J. Solomin, Finite element vibration analysis of fluid-solid systems without spurious modes', SIAM J. Numer. Anal., 32, 1280-1295 (1995).
6. A. Bermúdez, R. Durán and R. Rodríguez, 'Finite element analysis of compressible and incompressible fluid-solid systems.' Math. Comput. submitted.
7. R. Rodríguez and J. Solomin, 'The order of convergence of eigenfrequencies in F.E. approximations of fluid-structure interaction problems', Math. Comput. to appear.