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dc.contributor.authorLindholm, Brian Ericen_US

This 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.

dc.publisherVirginia Techen_US
dc.subjectparameter estimationen_US
dc.subjectmodel updatingen_US
dc.subject.lccLD5655.V856 1996.L563en_US
dc.titleA Bayesian statistics approach to updating finite element models with frequency response dataen_US
dc.contributor.departmentMechanical Engineeringen_US
dc.description.degreePh. D.en_US D.en_US Polytechnic Institute and State Universityen_US Engineeringen_US
dc.contributor.committeechairWest, Robert L. Jr.en_US
dc.contributor.committeechairKapania, Rakesh K.en_US
dc.contributor.committeememberKnight, Charles Eugeneen_US
dc.contributor.committeememberMitchell, Larry D.en_US
dc.contributor.committeememberWicks, Alfred L.en_US

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