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Modeling of acoustic waves in pipes with impedance walls and double roots
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TitleInfo
Title
Modeling of acoustic waves in pipes with impedance walls and double roots
Name
(type = personal)
NamePart
(type = family)
Kelsten
NamePart
(type = given)
Matthew
NamePart
(type = date)
1994-
DisplayForm
Matthew Kelsten
Role
RoleTerm
(authority = RULIB)
author
Name
(type = personal)
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NORRIS
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ANDREW
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ANDREW NORRIS
Affiliation
Advisory Committee
Role
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chair
Name
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NamePart
Rutgers University
Role
RoleTerm
(authority = RULIB)
degree grantor
Name
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NamePart
School of Graduate Studies
Role
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school
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Text
Genre
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theses
OriginInfo
DateCreated
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2018
DateOther
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2018-10
CopyrightDate
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2018
Place
PlaceTerm
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xx
Language
LanguageTerm
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eng
Abstract
(type = abstract)
Non-Hermitian systems can exhibit exceptional points (EPs) at which modes coalesce. The connection
between EPs and acoustic damping goes back to the observation of Cremer (1953) that optimal
attenuation in a duct occurs when the two lowest modes have equal complex-valued eigenvalues,
although the physical basis for this effect remains unclear. In an attempt to understand Cremer's
observation we consider the model cases of a two and three-dimensional waveguide with different
impedance conditions on the boundaries. Introductory work delves into the intricacies of waveguide
modeling such as solution obtaining methodologies, modal dependencies, phase velocities, group velocities, Green's function solutions, and impedance discontinuity effects. An EP existence condition
is derived and explored for both cases. Doing so in this order allows for the determination of the
complete set of all possible pairs of passive impedance conditions that give rise to EPs, and from
these to select impedances appropriate to a particular frequency band. Numerical and computational
simulations are presented to demonstrate modeling legitimacy with the inclusion of some preliminary
experimental work for the purpose of establishing experiments to test physically realizable EP
behavior. All results point towards promising alternatives and or explanations for large and almost
perfect broadband absorption. The theoretical findings are compared to realistic passive impedance
values based on models for boundary impedance. These comparisons are discussed to illustrate the
feasibility of optimized wall impedances in absorbing sound passing through ducts.
between EPs and acoustic damping goes back to the observation of Cremer (1953) that optimal
attenuation in a duct occurs when the two lowest modes have equal complex-valued eigenvalues,
although the physical basis for this effect remains unclear. In an attempt to understand Cremer's
observation we consider the model cases of a two and three-dimensional waveguide with different
impedance conditions on the boundaries. Introductory work delves into the intricacies of waveguide
modeling such as solution obtaining methodologies, modal dependencies, phase velocities, group velocities, Green's function solutions, and impedance discontinuity effects. An EP existence condition
is derived and explored for both cases. Doing so in this order allows for the determination of the
complete set of all possible pairs of passive impedance conditions that give rise to EPs, and from
these to select impedances appropriate to a particular frequency band. Numerical and computational
simulations are presented to demonstrate modeling legitimacy with the inclusion of some preliminary
experimental work for the purpose of establishing experiments to test physically realizable EP
behavior. All results point towards promising alternatives and or explanations for large and almost
perfect broadband absorption. The theoretical findings are compared to realistic passive impedance
values based on models for boundary impedance. These comparisons are discussed to illustrate the
feasibility of optimized wall impedances in absorbing sound passing through ducts.
Subject
(authority = RUETD)
Topic
Mechanical and Aerospace Engineering
Subject
(authority = ETD-LCSH)
Topic
Architectural acoustics
RelatedItem
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Title
Rutgers University Electronic Theses and Dissertations
Identifier
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ETD
Identifier
ETD_9288
PhysicalDescription
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electronic resource
InternetMediaType
application/pdf
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text/xml
Extent
1 online resource (51 pages) : illustrations
Note
(type = degree)
M.S.
Note
(type = bibliography)
Includes bibliographical references
Note
(type = statement of responsibility)
by Matthew Kelsten
RelatedItem
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TitleInfo
Title
School of Graduate Studies Electronic Theses and Dissertations
Identifier
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rucore10001600001
Location
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(displayLabel = Rutgers, The State University of New Jersey)
NjNbRU
Identifier
(type = doi)
doi:10.7282/t3-5h7x-r570
Genre
(authority = ExL-Esploro)
ETD graduate
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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
Kelsten
GivenName
Matthew
Role
Copyright Holder
RightsEvent
Type
Permission or license
DateTime
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(qualifier = exact);
(point = start)
2018-10-01 18:11:02
AssociatedEntity
Name
Matthew Kelsten
Role
Copyright holder
Affiliation
Rutgers University. School of Graduate Studies
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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