In this paper we solve the interior elastoacoustic problem by a finite element method which does not present spurious or circulation modes for nonzero frequencies. It consists of classical triangular lagrangian elements for the solid and lowest order triangular Raviart-Thomas elements for the fluid. Transmission conditions at the fluid-solid interface are taken into account in a weak sense. Numerical results for some test examples are presented which show the good performance of the proposed methodology.
Description
Finite element computation of the vibration modes of a fluid—solid system - ScienceDirect
%0 Journal Article
%1 BERMUDEZ1994355
%A Bermúdez, Alfredo
%A Rodríguez, Rodolfo
%D 1994
%J Computer Methods in Applied Mechanics and Engineering
%K 74f10-fluid-solid-interactions 74h45-vibrations
%N 3
%P 355 - 370
%R https://doi.org/10.1016/0045-7825(94)90095-7
%T Finite element computation of the vibration modes of a fluid—solid system
%U http://www.sciencedirect.com/science/article/pii/0045782594900957
%V 119
%X In this paper we solve the interior elastoacoustic problem by a finite element method which does not present spurious or circulation modes for nonzero frequencies. It consists of classical triangular lagrangian elements for the solid and lowest order triangular Raviart-Thomas elements for the fluid. Transmission conditions at the fluid-solid interface are taken into account in a weak sense. Numerical results for some test examples are presented which show the good performance of the proposed methodology.
@article{BERMUDEZ1994355,
abstract = {In this paper we solve the interior elastoacoustic problem by a finite element method which does not present spurious or circulation modes for nonzero frequencies. It consists of classical triangular lagrangian elements for the solid and lowest order triangular Raviart-Thomas elements for the fluid. Transmission conditions at the fluid-solid interface are taken into account in a weak sense. Numerical results for some test examples are presented which show the good performance of the proposed methodology.},
added-at = {2020-01-24T23:06:11.000+0100},
author = {Bermúdez, Alfredo and Rodríguez, Rodolfo},
biburl = {https://www.bibsonomy.org/bibtex/2677eb2cc26a025284dd835a5816a4a48/gdmcbain},
description = {Finite element computation of the vibration modes of a fluid—solid system - ScienceDirect},
doi = {https://doi.org/10.1016/0045-7825(94)90095-7},
interhash = {68fb7acfb8d3be47906b9ee299616b2c},
intrahash = {677eb2cc26a025284dd835a5816a4a48},
issn = {0045-7825},
journal = {Computer Methods in Applied Mechanics and Engineering},
keywords = {74f10-fluid-solid-interactions 74h45-vibrations},
number = 3,
pages = {355 - 370},
timestamp = {2020-01-24T23:06:11.000+0100},
title = {Finite element computation of the vibration modes of a fluid—solid system},
url = {http://www.sciencedirect.com/science/article/pii/0045782594900957},
volume = 119,
year = 1994
}