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Acoustic and elastic waves in metamaterials for underwater applications
Descriptive
TitleInfo
Title
Acoustic and elastic waves in metamaterials for underwater applications
Name
(type = personal)
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Titovich
NamePart
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Alexey S.
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Alexey S. Titovich
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author
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Norris
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Andrew N
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Andrew N Norris
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Advisory Committee
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chair
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Bottega
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William J
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William J Bottega
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Advisory Committee
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internal member
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(type = family)
Liu
NamePart
(type = given)
Liping
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Liping Liu
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Advisory Committee
Role
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(authority = RULIB)
internal member
Name
(type = personal)
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(type = family)
O'Regan
NamePart
(type = given)
Stephen D
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Stephen D O'Regan
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Advisory Committee
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outside member
Name
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Rutgers University
Role
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degree grantor
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Graduate School - New Brunswick
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school
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Text
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theses
OriginInfo
DateCreated
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2015
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2015-05
CopyrightDate
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2015
Place
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xx
Language
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eng
Abstract
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Elastic effects in acoustic metamaterials are investigated. Water-based periodic arrays of elastic scatterers, sonic crystals, suffer from low transmission due to the impedance and index mismatch of typical engineering materials with water. A new type of acoustic metamaterial element is proposed that can be tuned to match the acoustic properties of water in the quasi-static regime. The element comprises a hollow elastic cylindrical shell fitted with an optimized internal substructure consisting of a central mass supported by an axisymmetric distribution of elastic stiffeners, which dictate the shell’s effective bulk modulus and density. The derived closed form scattering solution for this system shows that the subsonic flexural waves excited in the shell by the attachment of stiffeners are suppressed by including a sufficiently large number of such stiffeners. As an example of refraction-based wave steering, a cylindrical-to-plane wave lens is designed by varying the bulk modulus in the array according to the conformal mapping of a unit circle to a square. Elastic shells provide rich scattering properties, mainly due to their ability to support highly dispersive flexural waves. Analysis of flexural-borne waves on a pair of shells yields an analytical expression for the width of a flexural resonance, which is then used with the theory of multiple scattering to accurately predict the splitting of the resonance frequency. This analysis leads to the discovery of the acoustic Poisson-like effect in a periodic wave medium. This effect redirects an incident acoustic wave by 90◦ in an otherwise acoustically transparent sonic crystal. An unresponsive “deaf” antisymmetric mode locked to band gap boundaries is unlocked by matching Bragg scattering with a quadrupole flexural resonance of the shell. The dynamic effect causes normal unidirectional wave motion to strongly couple to perpendicular motion, analogous to the quasi-static Poisson effect in solids. The Poisson-like effect is demonstrated using the first flexural resonance of an acrylic shell. This represent a new type of material which cannot be accurately described as an effective acoustic medium. The study concludes with an analysis of a non-zero shear modulus in a pentamode cloak via the two-scale method with the shear modulus as the perturbation parameter.
Subject
(authority = RUETD)
Topic
Mechanical and Aerospace Engineering
Subject
(authority = ETD-LCSH)
Topic
Metamaterials--Acoustic properties
Subject
(authority = ETD-LCSH)
Topic
Underwater acoustics
Subject
(authority = ETD-LCSH)
Topic
Elastic analysis (Engineering)
RelatedItem
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Title
Rutgers University Electronic Theses and Dissertations
Identifier
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Identifier
ETD_6234
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electronic resource
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application/pdf
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text/xml
Extent
1 online resource (xxiv, 145 p. : ill.)
Note
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Ph.D.
Note
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Includes bibliographical references
Note
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by Alexey S. Titovich
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Title
Graduate School - New Brunswick Electronic Theses and Dissertations
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rucore19991600001
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NjNbRU
Identifier
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doi:10.7282/T3W37Z5P
Genre
(authority = ExL-Esploro)
ETD doctoral
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Rights
RightsDeclaration
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The author owns the copyright to this work.
RightsHolder
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Name
FamilyName
Titovich
GivenName
Alexey
MiddleName
S.
Role
Copyright Holder
RightsEvent
Type
Permission or license
DateTime
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(qualifier = exact);
(point = start)
2015-03-30 15:14:34
AssociatedEntity
Name
Alexey Titovich
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.
Copyright
Status
Copyright protected
Availability
Status
Open
Reason
Permission or license
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Technical
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ETD
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windows xp
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