RUcore: Rutgers University Community Repository
Dispersion relations for elastic waves in plates and rods
Descriptive
TypeOfResource
Text
TitleInfo
(ID = T-1)
Title
Dispersion relations for elastic waves in plates and rods
Identifier
ETD_3051
Identifier
(type = hdl)
http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000057502
Language
LanguageTerm
(authority = ISO639-2);
(type = code)
eng
Genre
(authority = marcgt)
theses
Subject
(ID = SBJ-1);
(authority = RUETD)
Topic
Mechanical and Aerospace Engineering
Subject
(ID = SBJ-2);
(authority = ETD-LCSH)
Topic
Wave-motion, Theory of
Subject
(ID = SBJ-3);
(authority = ETD-LCSH)
Topic
Dispersion relations
Subject
(ID = SBJ-4);
(authority = ETD-LCSH)
Topic
Elastic wave propagation
Abstract
(type = abstract)
Wave propagation in homogeneous elastic structures is studied. Dispersion relations are obtained for elastic waves in plates and rods, for symmetric and antisymmetric modes using different displacement potentials. Some engineering beam theories are considered. Dispersion relations are obtained for phase velocity. The comparison of results based on the fundamental beam theories is presented for the lowest flexural mode. The Rayleigh-Lamb frequency equations are derived for elastic plate using the Helmholtz displacement decomposition. The Rayleigh-Lamb equations are considered in a new way. A new series expansion of frequency to any order of wave number, in principle, is obtained for symmetric and antisymmetric modes using an iteration method. Dispersion relations are shown in graphs for frequency, phase speed and group speed versus wave number. The obtained results are in good agreement with exact solutions. The cutoff frequencies for axial-shear, radial-shear and flexural modes are calculated and taken as starting points in dispersion relations for frequencies versus wave number. Different displacement potential representations are presented and compared. The Pochhammer-Chree frequency equations are derived for elastic rods using two displacement potentials, such as the Helmholtz decomposition for vector fields and Buchwald's vector potentials. Buchwald's representation enables us to find an efficient formulation of dispersion relations in an isotropic as well as anisotropic rods. Analysis of the numerical results on dispersion relations and cutoff frequencies for axial-shear, radial-shear and flexural modes is given.
PhysicalDescription
Form
(authority = gmd)
electronic resource
Extent
xi, 102 p. : ill.
InternetMediaType
application/pdf
InternetMediaType
text/xml
Note
(type = degree)
M.S.
Note
(type = bibliography)
Includes bibliographical references
Note
(type = vita)
Includes vita
Note
(type = statement of responsibility)
by Feruza Abdukadirovna Amirkulova
Name
(ID = NAME-1);
(type = personal)
NamePart
(type = family)
Amirkulova
NamePart
(type = given)
Feruza Abdukadirovna
NamePart
(type = date)
1973-
Role
RoleTerm
(authority = RULIB)
author
DisplayForm
Feruza Amirkulova
Name
(ID = NAME-2);
(type = personal)
NamePart
(type = family)
NORRIS
NamePart
(type = given)
ANDREW
Role
RoleTerm
(authority = RULIB)
chair
Affiliation
Advisory Committee
DisplayForm
ANDREW NORRIS
Name
(ID = NAME-3);
(type = personal)
NamePart
(type = family)
Baruh
NamePart
(type = given)
Haim
Role
RoleTerm
(authority = RULIB)
internal member
Affiliation
Advisory Committee
DisplayForm
Haim Baruh
Name
(ID = NAME-4);
(type = personal)
NamePart
(type = family)
Benaroya
NamePart
(type = given)
Haim
Role
RoleTerm
(authority = RULIB)
internal member
Affiliation
Advisory Committee
DisplayForm
Haim Benaroya
Name
(ID = NAME-1);
(type = corporate)
NamePart
Rutgers University
Role
RoleTerm
(authority = RULIB)
degree grantor
Name
(ID = NAME-2);
(type = corporate)
NamePart
Graduate School - New Brunswick
Role
RoleTerm
(authority = RULIB)
school
OriginInfo
DateCreated
(qualifier = exact)
2011
DateOther
(qualifier = exact);
(type = degree)
2011-01
Place
PlaceTerm
(type = code)
xx
RelatedItem
(type = host)
TitleInfo
Title
Rutgers University Electronic Theses and Dissertations
Identifier
(type = RULIB)
ETD
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/T3X63MM6
Genre
(authority = ExL-Esploro)
ETD graduate
Back to the top
Rights
RightsDeclaration
(AUTHORITY = GS);
(ID = rulibRdec0006)
The author owns the copyright to this work.
Copyright
Status
Copyright protected
Availability
Status
Open
Reason
Permission or license
RightsHolder
(ID = PRH-1);
(type = personal)
Name
FamilyName
Amirkulova
GivenName
Feruza
Role
Copyright Holder
RightsEvent
(ID = RE-1);
(AUTHORITY = rulib)
Type
Permission or license
DateTime
2010-12-16 13:41:28
AssociatedEntity
(ID = AE-1);
(AUTHORITY = rulib)
Role
Copyright holder
Name
Feruza Amirkulova
Affiliation
Rutgers University. Graduate School - New Brunswick
AssociatedObject
(ID = AO-1);
(AUTHORITY = rulib)
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.
Back to the top
Technical
ContentModel
ETD
MimeType
(TYPE = file)
application/pdf
MimeType
(TYPE = container)
application/x-tar
FileSize
(UNIT = bytes)
665600
Checksum
(METHOD = SHA1)
693068a993d526784e10514fb6bc1734ea1ecc0a
Back to the top
Statistical Profile