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Analysis and Approximation of Viscoelastic and Thermoelastic Joint-Beam Systems

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dc.contributor.authorFulton, Brian I.en
dc.contributor.committeecochairCliff, Eugene M.en
dc.contributor.committeecochairHerdman, Terry L.en
dc.contributor.committeememberBurns, John A.en
dc.contributor.committeememberIliescu, Traianen
dc.contributor.committeememberBorggaard, Jeffrey T.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T20:14:20Zen
dc.date.adate2006-08-14en
dc.date.available2014-03-14T20:14:20Zen
dc.date.issued2006-07-21en
dc.date.rdate2006-08-14en
dc.date.sdate2006-07-26en
dc.description.abstractRigidizable/Inflatable space structures have been the focus of renewed interest in recent years due to efficient packaging for transport. In this work, we examine new mathematical systems used to model small-scale joint dynamics for inflatable space truss structures. We investigate the regularity and asymptotic behavior of systems resulting from various damping models, including Kelvin-Voigt, Boltzmann, and thermoelastic damping. Approximation schemes will also be introduced. Finally, we look at optimal control for the Kelvin-Voigt model using a linear feedback regulator.en
dc.description.degreePh. D.en
dc.identifier.otheretd-07262006-110955en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-07262006-110955/en
dc.identifier.urihttp://hdl.handle.net/10919/28406en
dc.publisherVirginia Techen
dc.relation.haspartBIF_thesis.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectThermoelasticen
dc.subjectBoltzmann Dampingen
dc.subjectBeam Networksen
dc.subjectSemigroup Theoryen
dc.subjectViscoelasticen
dc.titleAnalysis and Approximation of Viscoelastic and Thermoelastic Joint-Beam Systemsen
dc.typeDissertationen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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