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Stable methods to solve the impedance matrix for radially inhomogeneous cylindrically anisotropic structures

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TypeOfResource
Text
TitleInfo
Title
Stable methods to solve the impedance matrix for radially inhomogeneous cylindrically anisotropic structures
Name (authority = orcid); (authorityURI = http://id.loc.gov/vocabulary/identifiers/orcid.html); (type = personal); (valueURI = http://orcid.org/0000-0001-7577-3698)
NamePart (type = family)
Norris
NamePart (type = given)
Andrew N.
Affiliation
Mechanical and Aerospace Engineering, Rutgers University
Role
RoleTerm (authority = marcrt); (type = text)
author
Name (type = personal)
NamePart (type = family)
Nagy
NamePart (type = given)
Adam J.
Affiliation
Mechanical and Aerospace Engineering, Rutgers University
Role
RoleTerm (authority = marcrt); (type = text)
author
Name (type = personal)
NamePart (type = family)
Amirkulova
NamePart (type = given)
Feruza A.
Affiliation
Mechanical and Aerospace Engineering, Rutgers University
Role
RoleTerm (authority = marcrt); (type = text)
author
Name (authority = RutgersOrg-Department); (type = corporate)
NamePart
Mechanical and Aerospace Engineering
Name (authority = RutgersOrg-School); (type = corporate)
NamePart
School of Engineering
Genre (authority = RULIB-FS)
Article, Refereed
Genre (authority = NISO JAV)
Accepted Manuscript (AM)
Note (type = peerReview)
Peer reviewed
OriginInfo
Publisher
Elsevier
DateIssued (encoding = w3cdtf); (keyDate = yes); (qualifier = exact)
2013
DateCreated (encoding = w3cdtf); (keyDate = no); (qualifier = exact)
2012
Abstract (type = Abstract)
A stable approach for integrating the impedance matrix in cylindrical, radial inhomogeneous structures is developed and studied. A Stroh-like system using the time-harmonic displacement-traction state vector is used to derive the Riccati matrix differential equation involving the impedance matrix. It is found that the resulting equation is stiff and leads to exponential instabilities. A stable scheme for integration is found in which a local expansion is performed by combining the matricant and impedance matrices. This method offers a stable solution for fully anisotropic materials, which was previously unavailable in the literature. Several approximation schemes for integrating the Riccati equation in cylindrical coordinates are considered: exponential, Magnus, Taylor series, Lagrange polynomials, with numerical examples indicating that the exponential scheme performs best. The impedance matrix is compared with solutions involving Buchwald potentials in which the material is limited to piecewise constant transverse isotropy. Lastly a scattering example is considered and compared with the literature.
Language
LanguageTerm (authority = ISO 639-3:2007); (type = text)
English
PhysicalDescription
InternetMediaType
application/pdf
Extent
18 p.
Extension
DescriptiveEvent
Type
Citation
DateTime (encoding = w3cdtf)
2013
AssociatedObject
Name
Journal of Sound and Vibration
Type
Journal
Relationship
Has part
Detail
2520-2531
Identifier (type = volume and issue)
332(10)
Reference (type = url)
http://dx.doi.org/10.1016/j.jsv.2012.12.016
Subject (authority = local)
Topic
Anisotropic structure
Subject (authority = local)
Topic
Cylindrical coordinates
Subject (authority = local)
Topic
Exponential instability
Subject (authority = local)
Topic
Inhomogeneous structure
Subject (authority = local)
Topic
Lagrange polynomials
Subject (authority = local)
Topic
Piece-wise constants
Subject (authority = local)
Topic
Radially inhomogeneous
Subject (authority = local)
Topic
Riccati matrix differential equations
Subject (authority = local)
Topic
Riccati equations
RelatedItem (type = has document)
TitleInfo
Title
arXiv. SOAR-blanket permission to share arXiv documents through IR at author's directive
Identifier (type = doi)
http://dx.doi.org/10.7282/T3WQ05K3
RelatedItem (type = host)
TitleInfo
Title
Norris Andrew Collection
Identifier (type = local)
rucore30021000001
Location
PhysicalLocation (authority = marcorg); (displayLabel = Rutgers, The State University of New Jersey)
NjNbRU
Identifier (type = doi)
doi:10.7282/T31G0NZN
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RightsDeclaration (AUTHORITY = FS); (ID = rulibRdec0004); (TYPE = [FS] statement #1)
Copyright for scholarly resources published in RUcore is retained by the copyright holder. By virtue of its appearance in this open access medium, you are free to use this resource, with proper attribution, in educational and other non-commercial settings. Other uses, such as reproduction or republication, may require the permission of the copyright holder.
Copyright
Status
Copyright protected
Availability
Status
Open
Reason
Permission or license
RightsEvent
Type
Permission or license
AssociatedObject
Type
License
Name
Multiple author license v. 1
Detail
I hereby grant to Rutgers, The State University of New Jersey (Rutgers) the non-exclusive right to retain, reproduce, and distribute the deposited work (Work) in whole or in part, in and from its electronic format, without fee. This agreement does not represent a transfer of copyright to Rutgers. Rutgers may make and keep more than one copy of the Work for purposes of security, backup, preservation, and access and may migrate the Work to any medium or format for the purpose of preservation and access in the future. Rutgers will not make any alteration, other than as allowed by this agreement, to the Work. I represent and warrant to Rutgers that the Work is my original work. I also represent that the Work does not, to the best of my knowledge, infringe or violate any rights of others. I further represent and warrant that I have obtained all necessary rights to permit Rutgers to reproduce and distribute the Work and that any third-party owned content is clearly identified and acknowledged within the Work. By granting this license, I acknowledge that I have read and agreed to the terms of this agreement and all related RUcore and Rutgers policies.
RightsEvent
Type
Permission or license request response
DateTime (encoding = w3cdtf)
2015-03-02
AssociatedEntity
Role
Distributor
Name
arXiv
AssociatedObject
Type
Permission response
Name
arXiv. SOAR-blanket permission to share arXiv documents through IR at author's directive
Reference (type = digital)
http://dx.doi.org/10.7282/T3WQ05K3
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RULTechMD (ID = TECHNICAL1)
ContentModel
Document
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