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Stabilization of a marine riser system by the use of viscoelastic material

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Abstract

In this work, we prove the arbitrary stabilization of the energy associated to a flexible marine riser with the vessel surface. A pipeline is made from a viscoelastic material. To attenuate the vibrations of this structure, we suppose a boundary control and we use the multiplier technique. The partial differential equation and boundary conditions of this system are obtained by use of Hamilton’s principle.

Original languageEnglish
Title of host publicationOperator Theory - Proceedings of the International Conference on Operator Theory
EditorsAref Jeribi
PublisherWalter de Gruyter GmbH
Pages131-145
Number of pages15
ISBN (Electronic)9783110596861
DOIs
StatePublished - 22 Mar 2021
EventInternational Conference on Operator Theory, ICOT 2018 - Hammamet, Tunisia
Duration: 30 Apr 20183 May 2018

Publication series

NameDe Gruyter Proceedings in Mathematics
ISSN (Print)2942-4801
ISSN (Electronic)2942-4828

Conference

ConferenceInternational Conference on Operator Theory, ICOT 2018
Country/TerritoryTunisia
CityHammamet
Period30/04/183/05/18

Bibliographical note

Publisher Copyright:
©2021WalterdeGruyter GmbH,Berlin/Boston.

Keywords

  • Stabilization
  • boundary control
  • flexible marine riser
  • multiplier technique
  • viscoelastic material

ASJC Scopus subject areas

  • Applied Mathematics

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