Probalistic vibration analysis of nearly periodic structures

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dc.contributor.authorStudebaker, Karen F.en
dc.contributor.committeechairNikolaidis, Efstratiosen
dc.contributor.committeememberHaftka, Raphael T.en
dc.contributor.committeememberKapania, Rakesh K.en
dc.contributor.committeememberSingh, Mahendra P.en
dc.contributor.departmentAerospace Engineeringen
dc.date.accessioned2014-03-14T21:41:58Zen
dc.date.adate2012-08-01en
dc.date.available2014-03-14T21:41:58Zen
dc.date.issued1988-02-05en
dc.date.rdate2012-08-01en
dc.date.sdate2012-08-01en
dc.description.abstractThe localization of modes of nearly periodic structures causes a concentration of energy in one part of the mode shape. It occurs for a disordered structure with weakly coupled subsystems. The forced excitation of localized modes may affect the maximum response amplitude of the system. Two nearly periodic structures are analyzed herein: a two span beam and a pair of coupled pendula. Results show that the sensitivity of the forced response to the degree of localization depends on a combination of the symmetry of the mode which is excited and the phase difference between the forces acting on each substructure. These results attempt to explain the range of contrasting conclusions of previous research on the effects of forced response on mistuned structures. Furthermore, a theoretical explanation of the results is given in terms of transfer admittance. A probabilistic analysis of the free and forced response of a nearly periodic structure is shown to be useful in the design of such structures which are sensitive to the degree of localization. The second moment method is used in the analysis with results verified by Monte Carlo simulation. The probabilities of localization and failure are calculated given the statistics of the system parameters, and the localization and failure tolerances respectively.en
dc.description.degreeMaster of Scienceen
dc.format.extentxi, 119 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-08012012-040358en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-08012012-040358/en
dc.identifier.urihttp://hdl.handle.net/10919/44087en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V855_1988.S893.pdfen
dc.relation.isformatofOCLC# 18109217en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V855 1988.S893en
dc.subject.lcshAerothermodynamicsen
dc.titleProbalistic vibration analysis of nearly periodic structuresen
dc.typeThesisen
dc.type.dcmitypeTexten
thesis.degree.disciplineAerospace Engineeringen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

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