Homogenization and Bloch wave method for fluid tube bundle interaction

Grégoire Allaire; Carlos Conca; Jacques Planchard

doi:10.1016/S0045-7825(98)00032-2

Homogenization and Bloch wave method for fluid tube bundle interaction

Grégoire Allaire
, Carlos Conca
, Jacques Planchard

University of Chile
Lamsid/EDF/R and D

Research output: Contribution to journal › Article › peer-review

Abstract

The aim of this paper is to investigate the problem of the vibrations of large arrays of elastic rods immersed in a perfect incompressible fluid. The case of an infinite spatially periodic bundle is firstly considered leading to use the Bloch wave method in order to describe the resonance spectrum of the coupled system. When the bundle is contained in a bounded domain, the homogenization technique combined with the Bloch wave method allows to obtain the eigenspectrum which is formed of two eigenfrequencies (of infinite multiplicity), and of a continuous spectrum.

Original language	English
Pages (from-to)	333-361
Number of pages	29
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	164
Issue number	3-4
DOIs	https://doi.org/10.1016/S0045-7825(98)00032-2
Publication status	Published - 16 Oct 1998

Keywords

Cylinder
Incompressible flow
Vibration

Access to Document

10.1016/S0045-7825(98)00032-2

Cite this

@article{8e9a57483d03447289f7192c0f7f8d0b,

title = "Homogenization and Bloch wave method for fluid tube bundle interaction",

abstract = "The aim of this paper is to investigate the problem of the vibrations of large arrays of elastic rods immersed in a perfect incompressible fluid. The case of an infinite spatially periodic bundle is firstly considered leading to use the Bloch wave method in order to describe the resonance spectrum of the coupled system. When the bundle is contained in a bounded domain, the homogenization technique combined with the Bloch wave method allows to obtain the eigenspectrum which is formed of two eigenfrequencies (of infinite multiplicity), and of a continuous spectrum.",

keywords = "Cylinder, Incompressible flow, Vibration",

author = "Gr{\'e}goire Allaire and Carlos Conca and Jacques Planchard",

year = "1998",

month = oct,

day = "16",

doi = "10.1016/S0045-7825(98)00032-2",

language = "English",

volume = "164",

pages = "333--361",

journal = "Computer Methods in Applied Mechanics and Engineering",

issn = "0045-7825",

number = "3-4",

}

TY - JOUR

T1 - Homogenization and Bloch wave method for fluid tube bundle interaction

AU - Allaire, Grégoire

AU - Conca, Carlos

AU - Planchard, Jacques

PY - 1998/10/16

Y1 - 1998/10/16

N2 - The aim of this paper is to investigate the problem of the vibrations of large arrays of elastic rods immersed in a perfect incompressible fluid. The case of an infinite spatially periodic bundle is firstly considered leading to use the Bloch wave method in order to describe the resonance spectrum of the coupled system. When the bundle is contained in a bounded domain, the homogenization technique combined with the Bloch wave method allows to obtain the eigenspectrum which is formed of two eigenfrequencies (of infinite multiplicity), and of a continuous spectrum.

AB - The aim of this paper is to investigate the problem of the vibrations of large arrays of elastic rods immersed in a perfect incompressible fluid. The case of an infinite spatially periodic bundle is firstly considered leading to use the Bloch wave method in order to describe the resonance spectrum of the coupled system. When the bundle is contained in a bounded domain, the homogenization technique combined with the Bloch wave method allows to obtain the eigenspectrum which is formed of two eigenfrequencies (of infinite multiplicity), and of a continuous spectrum.

KW - Cylinder

KW - Incompressible flow

KW - Vibration

U2 - 10.1016/S0045-7825(98)00032-2

DO - 10.1016/S0045-7825(98)00032-2

M3 - Article

AN - SCOPUS:0344889118

SN - 0045-7825

VL - 164

SP - 333

EP - 361

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

IS - 3-4

ER -

Homogenization and Bloch wave method for fluid tube bundle interaction

Abstract

Keywords

Access to Document

Fingerprint

Cite this