Parametric spatial modal analysis of beams

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dc.contributor.authorArchibald, Charles Marken
dc.contributor.committeechairWicks, Alfred L.en
dc.contributor.committeechairRobertshaw, Harry H.en
dc.contributor.committeememberMitchell, Larry D.en
dc.contributor.committeememberWest, Robert L. Jr.en
dc.contributor.committeememberPierce, Felix J.en
dc.contributor.committeememberFoutz, Roberten
dc.contributor.departmentMechanical Engineeringen
dc.date.accessioned2014-03-14T21:09:06Zen
dc.date.adate2007-02-02en
dc.date.available2014-03-14T21:09:06Zen
dc.date.issued1993-07-04en
dc.date.rdate2007-02-02en
dc.date.sdate2007-02-02en
dc.description.abstractModal analysis is the experimental characterization of the dynanlical behavior of a structure. Recent advances in laser velocimetery have made available to the experimentalist a rich, new source of vibration data. Data can now be obtained from many different spatial locations on a structure. A method is presented to use this new data for the analysis of beams. Two approaches are investigated: minimum residual methods and boundary condition methods. The minimum residual approaches include autoregressive methods and non-linear least squares techniques. Significant contributions to sample rate considerations for parametric sinusoidal estimation resulted from this research. The minimum residual methods provide a good connection between the measured data and the fitted model. However, they do not yield a true modal decomposition of the spatial data. The boundary condition approach provides a complete modal model that is based on the spatial data and is completely compatible with classical beam theory. All theoretical constraints are included in the procedure. Monte Carlo investigations describe the statistical characteristics of the methods. Experiments using beams validate the methods presented. Advantages and limitations of each approach are discussed.en
dc.description.degreePh. D.en
dc.format.extentxxiii, 401 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-02022007-133641en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-02022007-133641/en
dc.identifier.urihttp://hdl.handle.net/10919/37278en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V856_1993.A724.pdfen
dc.relation.isformatofOCLC# 29700030en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1993.A724en
dc.subject.lcshGirders -- Mathematical modelsen
dc.subject.lcshGirders -- Testingen
dc.subject.lcshModal analysisen
dc.titleParametric spatial modal analysis of beamsen
dc.typeDissertationen
dc.type.dcmitypeTexten
thesis.degree.disciplineMechanical Engineeringen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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