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dc.contributor.authorTarazaga, Pablo Albertoen_US
dc.date.accessioned2011-08-06T16:05:50Z
dc.date.available2011-08-06T16:05:50Z
dc.date.issued2004-06-10en_US
dc.identifier.otheretd-07262004-193730en_US
dc.identifier.urihttp://hdl.handle.net/10919/10073
dc.description.abstractThe research presented in this thesis addresses the problem of updating an analytical model using a parametric Reference Basis approach. In this method, some parameters are assumed to be accurate (e.g. natural frequencies, mode shapes and mass matrix), while others are adjusted so that the eigenvalue equation is satisfied. Updating is done with the use of principal submatrices, and the method seeks the best parameters multiplying these matrices. This is a departure from classical model reference, and is closer to the formulation of sensitivity methods. The submatrices allow updating of the stiffness matrix with certain freedom while preserving connectivity. Closed form solution can be achieved through multiple ways; two different approaches, denoted as the Quadratic Compression Method (QCM) and the Full Vector Method (FVM), are described in this paper. It is shown that the QCM possesses superior robustness properties with respect to noise in the data. This fact, as well as the simplicity offered by QCM, is demonstrated theoretically and experimentally. The experiments are presented to show the advantage of the QCM in the updating process.en_US
dc.format.mediumETDen_US
dc.publisherVirginia Techen_US
dc.relation.haspartETD.pdfen_US
dc.rightsI hereby certify that, if appropriate, I have obtained and attached hereto a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted is the same as that approved by my advisory committee. I hereby grant to Virginia Tech or its agents the non-exclusive license to archive and make accessible, under the conditions specified below, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report.en_US
dc.subjectrobustnessen_US
dc.subjectsymmetryen_US
dc.subjectconnectivityen_US
dc.subjectclosed-formen_US
dc.titleModel Updating Using a Quadratic Formen_US
dc.typeThesisen_US
dc.contributor.departmentMechanical 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.disciplineMechanical Engineeringen_US
dc.contributor.committeechairInman, Daniel J.en_US
dc.contributor.committeememberHalevi, Yoramen_US
dc.contributor.committeememberLeo, Donald J.en_US
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-07262004-193730en_US
dc.date.sdate2004-07-26en_US
dc.date.rdate2004-08-23
dc.date.adate2004-08-23en_US


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