A Bayesian statistics approach to updating finite element models with frequency response data

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dc.contributor.authorLindholm, Brian Ericen
dc.contributor.committeechairWest, Robert L. Jr.en
dc.contributor.committeechairKapania, Rakesh K.en
dc.contributor.committeememberKnight, Charles E.en
dc.contributor.committeememberMitchell, Larry D.en
dc.contributor.committeememberWicks, Alfred L.en
dc.contributor.departmentMechanical Engineeringen
dc.date.accessioned2014-03-14T21:12:15Zen
dc.date.adate2008-06-06en
dc.date.available2014-03-14T21:12:15Zen
dc.date.issued1996-08-05en
dc.date.rdate2008-06-06en
dc.date.sdate2008-06-06en
dc.description.abstractThis dissertation addresses the task of updating finite element models with frequency response data acquired in a structural dynamics test. Standard statistical techniques are used to generate statistically qualified data, which is then used in a Bayesian statistics regression formulation to update the finite element model. The Bayesian formulation allows the analyst to incorporate engineering judgment (in the form of prior knowledge) into the analysis and helps ensure that reasonable and realistic answers are obtained. The formulation includes true statistical weights derived from experimental data as well as a new formulation of the Bayesian regression problem that reduces the effects of numerical ill-conditioning. Model updates are performed with a simulated free-free beam, a simple steel frame, and a cantilever beam. Improved finite element models of the structures are obtained and several statistical tests are used to ensure that the models are improved.en
dc.description.degreePh. D.en
dc.format.extentxiv, 205 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-06062008-152108en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-06062008-152108/en
dc.identifier.urihttp://hdl.handle.net/10919/38051en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V856_1996.L563.pdfen
dc.relation.isformatofOCLC# 36664535en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectparameter estimationen
dc.subjectregressionen
dc.subjectbayesianen
dc.subjectmodel updatingen
dc.subject.lccLD5655.V856 1996.L563en
dc.titleA Bayesian statistics approach to updating finite element models with frequency response dataen
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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