Prediction of snap-through instability under harmonic excitation

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dc.contributor.authorCheng, Ching-Chuanen
dc.contributor.committeechairPlaut, Raymond H.en
dc.contributor.committeememberHolzer, Siegfried M.en
dc.contributor.committeememberRojiani, Kamal B.en
dc.contributor.departmentCivil Engineeringen
dc.date.accessioned2014-03-14T21:33:44Zen
dc.date.adate2009-04-14en
dc.date.available2014-03-14T21:33:44Zen
dc.date.issued1990-12-07en
dc.date.rdate2009-04-14en
dc.date.sdate2009-04-14en
dc.description.abstractA method is developed to predict the critical harmonic excitation of systems undergoing nonlinear oscillations. The method is based on the total energy approach which limits the system responses within a region bounded by a critical total energy in the phase space. Three one-degree-of-freedom nonlinear systems are investigated. Their governing ordinary differential equations are associated with a quadratic nonlinearity and/or a cubic nonlinearity. The study also is extended to a two-degree-of-freedom nonlinear system. The harmonic balance method is the analytical technique used in solving the nonlinear ordinary differential equations. In comparison with the approximate analytical solutions, numerical approaches are implemented.en
dc.description.degreeMaster of Scienceen
dc.format.extentviii, 58 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-04142009-040604en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-04142009-040604/en
dc.identifier.urihttp://hdl.handle.net/10919/42077en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V855_1990.C447.pdfen
dc.relation.isformatofOCLC# 23657961en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V855 1990.C447en
dc.subject.lcshHarmonic oscillatorsen
dc.titlePrediction of snap-through instability under harmonic excitationen
dc.typeThesisen
dc.type.dcmitypeTexten
thesis.degree.disciplineCivil Engineeringen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

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