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A modal synthesis method for the elastoacoustic vibrationproblem

Published online by Cambridge University Press:  15 April 2002

Alfredo Bermúdez ,
Luis Hervella-Nieto  and
Rodolfo Rodríguez
Alfredo Bermúdez
Affiliation:
Departamento de Matemática Aplicada, Universidade de Santiago de Compostela, 15706 Santiago de Compostela, Spain. mabermud@usc.es.. Partially supported by research project PGIDT00PXI20701PR. Xunta de Galicia (Spain).
Luis Hervella-Nieto
Affiliation:
Departamento de Matemáticas, Universidade da Coruña, 15071 A Coruña, Spain. Partially supported by FONDAP in Applied Mathematics, Chile.
Rodolfo Rodríguez
Affiliation:
Departamento de Ingeniería Matemática, Universidad de Concepción, Casilla 160–C, Concepción, Chile. Partially supported by FONDECYT Grant 1.990.346 and FONDAP in Applied Mathematics, Chile.
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Abstract

A modal synthesis method to solve the elastoacoustic vibration problem is analyzed. A two-dimensional coupled fluid-solid system is considered; the solid is described by displacement variables, whereas displacement potential is used for the fluid. A particular modal synthesis leading to a symmetric eigenvalue problem is introduced. Finite element discretizations with Lagrangian elements are considered for solving the uncoupled problems. Convergence for eigenvalues and eigenfunctions is proved, error estimates are given, and numerical experiments exhibiting the good performance of the method are reported.

Keywords

Fluid-structure interactionelastoacousticmodal synthesis.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 36 , Issue 1 , January 2002 , pp. 121 - 142
Copyright
© EDP Sciences, SMAI, 2002

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