Vibratory energy exchanges between a system with a chain of Saint-Venant elements and a nonlinear energy sink

We present time multi-scale energy exchanges between a system with chain of Saint-Venant elements and a nonlinear energy sink under periodic external forces. A general analytical methodology is presented to detect the invariant manifold of the system at fast time scale and then its equilibrium and f...

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Main Authors: Lamarque C.-H., Ture Savadkoohi A.
Format: Article
Language:English
Published: EDP Sciences 2014-01-01
Series:MATEC Web of Conferences
Online Access:http://dx.doi.org/10.1051/matecconf/20141601008
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spelling doaj-a22eadb78a454d2fa30358fc387830912021-02-02T03:47:07ZengEDP SciencesMATEC Web of Conferences2261-236X2014-01-01160100810.1051/matecconf/20141601008matecconf_csndd2014_01008Vibratory energy exchanges between a system with a chain of Saint-Venant elements and a nonlinear energy sinkLamarque C.-H.0Ture Savadkoohi A.1ENTPE, Université de Lyon, LGCB and LTDS UMR CNRS 5513ENTPE, Université de Lyon, LGCB and LTDS UMR CNRS 5513We present time multi-scale energy exchanges between a system with chain of Saint-Venant elements and a nonlinear energy sink under periodic external forces. A general analytical methodology is presented to detect the invariant manifold of the system at fast time scale and then its equilibrium and fold singularities at slow time scale. The latter development will let us to predict attraction(s) of the dynamical system at slow time scale to be able to design proper nonlinear energy sink devices for the aim of control and/or energy harvesting. http://dx.doi.org/10.1051/matecconf/20141601008
collection DOAJ
language English
format Article
sources DOAJ
author Lamarque C.-H.
Ture Savadkoohi A.
spellingShingle Lamarque C.-H.
Ture Savadkoohi A.
Vibratory energy exchanges between a system with a chain of Saint-Venant elements and a nonlinear energy sink
MATEC Web of Conferences
author_facet Lamarque C.-H.
Ture Savadkoohi A.
author_sort Lamarque C.-H.
title Vibratory energy exchanges between a system with a chain of Saint-Venant elements and a nonlinear energy sink
title_short Vibratory energy exchanges between a system with a chain of Saint-Venant elements and a nonlinear energy sink
title_full Vibratory energy exchanges between a system with a chain of Saint-Venant elements and a nonlinear energy sink
title_fullStr Vibratory energy exchanges between a system with a chain of Saint-Venant elements and a nonlinear energy sink
title_full_unstemmed Vibratory energy exchanges between a system with a chain of Saint-Venant elements and a nonlinear energy sink
title_sort vibratory energy exchanges between a system with a chain of saint-venant elements and a nonlinear energy sink
publisher EDP Sciences
series MATEC Web of Conferences
issn 2261-236X
publishDate 2014-01-01
description We present time multi-scale energy exchanges between a system with chain of Saint-Venant elements and a nonlinear energy sink under periodic external forces. A general analytical methodology is presented to detect the invariant manifold of the system at fast time scale and then its equilibrium and fold singularities at slow time scale. The latter development will let us to predict attraction(s) of the dynamical system at slow time scale to be able to design proper nonlinear energy sink devices for the aim of control and/or energy harvesting.
url http://dx.doi.org/10.1051/matecconf/20141601008
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AT turesavadkoohia vibratoryenergyexchangesbetweenasystemwithachainofsaintvenantelementsandanonlinearenergysink
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