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Modeling vortex-induced fluid-structure interaction using an extension of Jourdain's principle

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Title
Modeling vortex-induced fluid-structure interaction using an extension of Jourdain's principle
Name (type = personal)
NamePart (type = family)
Mottaghi
NamePart (type = given)
Sohrob
DisplayForm
Sohrob Mottaghi
Role
RoleTerm (authority = RULIB)
author
Name (type = personal)
NamePart (type = family)
Benaroya
NamePart (type = given)
Haym
DisplayForm
Haym Benaroya
Affiliation
Advisory Committee
Role
RoleTerm (authority = RULIB)
chair
Name (type = personal)
NamePart (type = family)
Baruh
NamePart (type = given)
Haim
DisplayForm
Haim Baruh
Affiliation
Advisory Committee
Role
RoleTerm (authority = RULIB)
internal member
Name (type = personal)
NamePart (type = family)
Diez-Garias
NamePart (type = given)
Javier
DisplayForm
Javier Diez-Garias
Affiliation
Advisory Committee
Role
RoleTerm (authority = RULIB)
internal member
Name (type = personal)
NamePart (type = family)
Gulak
NamePart (type = given)
Yuriy
DisplayForm
Yuriy Gulak
Affiliation
Advisory Committee
Role
RoleTerm (authority = RULIB)
outside member
Name (type = corporate)
NamePart
Rutgers University
Role
RoleTerm (authority = RULIB)
degree grantor
Name (type = corporate)
NamePart
Graduate School - New Brunswick
Role
RoleTerm (authority = RULIB)
school
TypeOfResource
Text
Genre (authority = marcgt)
theses
OriginInfo
DateCreated (encoding = w3cdtf); (qualifier = exact)
2015
DateOther (qualifier = exact); (type = degree)
2015-01
CopyrightDate (encoding = w3cdtf); (qualifier = exact)
2015
Place
PlaceTerm (type = code)
xx
Language
LanguageTerm (authority = ISO639-2b); (type = code)
eng
Abstract (type = abstract)
A first-principles variational approach is proposed for reduced-order order modeling of fluid-structure interaction systems, specifically vortex-induced vibration. Fluid-structure interaction has to be taken into account in design and analysis of a large portion of engineering applications, yet a comprehensive theoretical development where analytical equations are derived from first principles is nonexistent. Not only does there exist much ambiguity concerning the general behavior of such systems, but the nature of the Lagrangian-Eulerian transformation is yet to be fully understood. Also, a general variational principle that is purely defined in a Eulerian description is nonexistent. Consequently, the use of variational methods for fluid-structure interaction problems has been relatively successful only for simple problems. Moreover, a review of the literature suggests that the Navier-Stokes (N-S) equations could not be obtained using a variational principle. This can be avoided by using Jourdain's principle (JP). Therefore, we have modified Jourdain's principle and obtained the first purely Eulerian variational formulation. Subsequently, by extending the JP for systems of changing mass, we have shown that the N-S equations can be obtained via a variational approach. Moreover, having shown that conservative terms of the N-S equations do not commute with the Eulerian variational operator, a correction term is obtained that must be added to the classical energy equation in integral form for Newtonian incompressible viscous fluids. Regarding vortex-induced vibration, an elastically supported, inverted pendulum that is immersed in a flow is considered as a study system. The pendulum is allowed to move transversely to the flow direction. This problem has generally been used as a test bed of vortex-induced vibration models, as it provides a simple geometry, yet possesses the nonlinearity of these phenomena. It is shown that the reduced-order modeling can be done without any ad hoc assumptions regarding the fluid forcing function. There exists no reduced-order model in the literature that does not make such assumptions. Based on the theoretical results as well as the reduced-order model, we conclude that the first principles development herein is a viable framework for the modeling of complex fluid-structure interaction problems such as vortex-induced oscillations.
Subject (authority = RUETD)
Topic
Mechanical and Aerospace Engineering
RelatedItem (type = host)
TitleInfo
Title
Rutgers University Electronic Theses and Dissertations
Identifier (type = RULIB)
ETD
Identifier
ETD_6117
PhysicalDescription
Form (authority = gmd)
electronic resource
InternetMediaType
application/pdf
InternetMediaType
text/xml
Extent
1 online resource (xii, 200 p. : ill)
Note (type = degree)
Ph.D.
Note (type = bibliography)
Includes bibliographical references
Subject (authority = ETD-LCSH)
Topic
Vibration
Subject (authority = ETD-LCSH)
Topic
Fluid dynamics
Subject (authority = ETD-LCSH)
Topic
Vortex-motion
Note (type = statement of responsibility)
by Sohrob Mottaghi
RelatedItem (type = host)
TitleInfo
Title
Graduate School - New Brunswick Electronic Theses and Dissertations
Identifier (type = local)
rucore19991600001
Location
PhysicalLocation (authority = marcorg); (displayLabel = Rutgers, The State University of New Jersey)
NjNbRU
Identifier (type = doi)
doi:10.7282/T32Z1787
Genre (authority = ExL-Esploro)
ETD doctoral
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Rights

RightsDeclaration (ID = rulibRdec0006)
The author owns the copyright to this work.
RightsHolder (type = personal)
Name
FamilyName
Mottaghi
GivenName
Sohrob
Role
Copyright Holder
RightsEvent
Type
Permission or license
DateTime (encoding = w3cdtf); (qualifier = exact); (point = start)
2014-12-24 15:44:41
AssociatedEntity
Name
Sohrob Mottaghi
Role
Copyright holder
Affiliation
Rutgers University. Graduate School - New Brunswick
AssociatedObject
Type
License
Name
Author Agreement License
Detail
I hereby grant to the Rutgers University Libraries and to my school the non-exclusive right to archive, reproduce and distribute my thesis or dissertation, in whole or in part, and/or my abstract, in whole or in part, in and from an electronic format, subject to the release date subsequently stipulated in this submittal form and approved by my school. I represent and stipulate that the thesis or dissertation and its abstract are my original work, that they do not infringe or violate any rights of others, and that I make these grants as the sole owner of the rights to my thesis or dissertation and its abstract. I represent that I have obtained written permissions, when necessary, from the owner(s) of each third party copyrighted matter to be included in my thesis or dissertation and will supply copies of such upon request by my school. I acknowledge that RU ETD and my school will not distribute my thesis or dissertation or its abstract if, in their reasonable judgment, they believe all such rights have not been secured. I acknowledge that I retain ownership rights to the copyright of my work. I also retain the right to use all or part of this thesis or dissertation in future works, such as articles or books.
RightsEvent
DateTime (encoding = w3cdtf); (qualifier = exact); (point = start)
2015-01-31
DateTime (encoding = w3cdtf); (qualifier = exact); (point = end)
2015-08-02
Type
Embargo
Detail
Access to this PDF has been restricted at the author's request. It will be publicly available after August 2nd, 2015.
Copyright
Status
Copyright protected
Availability
Status
Open
Reason
Permission or license
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ETD
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windows xp
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