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Analysis of a coupled BEM/FEM eigensolver for the hydroelastic vibrations problem

Published online by Cambridge University Press:  15 August 2004

Mauricio A. Barrientos,
Gabriel N. Gatica,
Rodolfo Rodríguez and
Marcela E. Torrejón
Mauricio A. Barrientos
Affiliation:
Departamento de Matemáticas, Facultad de Ciencias Básicas, Universidad de Antofagasta, Chile.
Gabriel N. Gatica
Affiliation:
GIMA, Departamento de Ingeniería Matemática, Universidad de Concepción, Casilla 160-C, Concepción, Chile.
Rodolfo Rodríguez
Affiliation:
GIMA, Departamento de Ingeniería Matemática, Universidad de Concepción, Casilla 160-C, Concepción, Chile.
Marcela E. Torrejón
Affiliation:
GIMA, Departamento de Ingeniería Matemática, Universidad de Concepción, Casilla 160-C, Concepción, Chile.
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Abstract

A coupled finite/boundary element method to approximate the free vibration modes of an elastic structure containing an incompressible fluid is analyzed in this paper. The effect of the fluid is taken into account by means of one of the most usual procedures in engineering practice: an added mass formulation, which is posed in terms of boundary integral equations. Piecewise linear continuous elements are used to discretize the solid displacements and the fluid-solid interface variables. Spectral convergence is proved and error estimates are settled for the approximate eigenfunctions and their corresponding vibration frequencies. Implementation issues are also discussed and numerical experiments are reported.

Keywords

Fluid-structure interactionhydroelasticityadded massBEM/FEM.

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Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 38 , Issue 4 , July 2004, pp. 653 - 672
Copyright
© EDP Sciences, SMAI, 2004

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