A modal synthesis method for the elastoacoustic vibration problem

Alfredo Bermúdez; Luis Hervella-Nieto; Rodolfo Rodríguez

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 36, Issue: 1, page 121-142
  • ISSN: 0764-583X

Abstract

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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.

How to cite

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Bermúdez, Alfredo, Hervella-Nieto, Luis, and Rodríguez, Rodolfo. "A modal synthesis method for the elastoacoustic vibration problem." ESAIM: Mathematical Modelling and Numerical Analysis 36.1 (2010): 121-142. <http://eudml.org/doc/194092>.

@article{Bermúdez2010,
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. },
author = {Bermúdez, Alfredo, Hervella-Nieto, Luis, Rodríguez, Rodolfo},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Fluid-structure interaction; elastoacoustic; modal synthesis.; displacement potential; eigenvalue problem; Lagrangian elements},
language = {eng},
month = {3},
number = {1},
pages = {121-142},
publisher = {EDP Sciences},
title = {A modal synthesis method for the elastoacoustic vibration problem},
url = {http://eudml.org/doc/194092},
volume = {36},
year = {2010},
}

TY - JOUR
AU - Bermúdez, Alfredo
AU - Hervella-Nieto, Luis
AU - Rodríguez, Rodolfo
TI - A modal synthesis method for the elastoacoustic vibration problem
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 36
IS - 1
SP - 121
EP - 142
AB - 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.
LA - eng
KW - Fluid-structure interaction; elastoacoustic; modal synthesis.; displacement potential; eigenvalue problem; Lagrangian elements
UR - http://eudml.org/doc/194092
ER -

References

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