HOMOGENIZATION AND BLOCH WAVE METHOD FOR FLUID TUBE BUNDLE INTERACTION

Authors
ALLAIRE G CONCA C PLANCHARD J
Citation
G. Allaire et al., HOMOGENIZATION AND BLOCH WAVE METHOD FOR FLUID TUBE BUNDLE INTERACTION, Computer methods in applied mechanics and engineering, 164(3-4), 1998, pp. 333-361
Citations number
45
Categorie Soggetti
Computer Science Interdisciplinary Applications",Mechanics,"Engineering, Mechanical","Computer Science Interdisciplinary Applications
Journal title
Computer methods in applied mechanics and engineering → ACNP
ISSN journal
00457825
Volume
164
Issue
3-4
Year of publication
1998
Pages
333 - 361
Database
ISI
SICI code
0045-7825(1998)164:3-4<333:HABWMF>2.0.ZU;2-P
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 f luid. The case of an infinite spatially periodic bundle is firstly con sidered 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 B loch wave method allows to obtain the eigenspectrum which is formed of two eigenfrequencies (of infinite multiplicity), and of a continuous spectrum. (C) 1998 Elsevier Science S.A. All rights reserved.