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dc.contributor.authorStudebaker, Karen F.en_US
dc.date.accessioned2014-03-14T21:41:58Z
dc.date.available2014-03-14T21:41:58Z
dc.date.issued1988-02-05en_US
dc.identifier.otheretd-08012012-040358en_US
dc.identifier.urihttp://hdl.handle.net/10919/44087
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_US
dc.format.extentxi, 119 leavesen_US
dc.format.mediumBTDen_US
dc.publisherVirginia Techen_US
dc.relation.haspartLD5655.V855_1988.S893.pdfen_US
dc.subjectAerothermodynamicsen_US
dc.subject.lccLD5655.V855 1988.S893en_US
dc.titleProbalistic vibration analysis of nearly periodic structuresen_US
dc.typeThesisen_US
dc.contributor.departmentAerospace Engineeringen_US
dc.description.degreeMaster of Scienceen_US
thesis.degree.nameMaster of Scienceen_US
thesis.degree.levelmastersen_US
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen_US
thesis.degree.disciplineAerospace Engineeringen_US
dc.contributor.committeechairNikolaidis, Efstratiosen_US
dc.contributor.committeememberHaftka, Raphael T.en_US
dc.contributor.committeememberKapania, Rakesh K.en_US
dc.contributor.committeememberSingh, Mahendra P.en_US
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-08012012-040358/en_US
dc.date.sdate2012-08-01en_US
dc.date.rdate2012-08-01
dc.date.adate2012-08-01en_US


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