Damage Detection Based on the Geometric Interpretation of the Eigenvalue Problem

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dc.contributor.authorJust, Frederick A.en
dc.contributor.committeechairHendricks, Scott L.en
dc.contributor.committeememberRagab, Saad A.en
dc.contributor.committeememberBurdisso, Ricardo A.en
dc.contributor.committeememberCudney, Harley H.en
dc.contributor.committeememberHendricks, Scott L.en
dc.contributor.committeememberThangjitham, Suroten
dc.contributor.departmentEngineering Science and Mechanicsen
dc.date.accessioned2014-03-14T20:18:28Zen
dc.date.adate1997-12-15en
dc.date.available2014-03-14T20:18:28Zen
dc.date.issued1997-12-09en
dc.date.rdate1997-12-15en
dc.date.sdate1997-12-09en
dc.description.abstractA method that can be used to detect damage in structures is developed. This method is based on the convexity of the geometric interpretation of the eigenvalue problem for undamped positive definite systems. The damage detection scheme establishes various damage scenarios which are used as failure sets. These scenarios are then compared to the structure's actual response by measuring the natural frequencies of the structure and using a Euclideian norm. Mathematical models were developed for application of the method on a cantilever beam. Damage occurring at a single location or in multiple locations was estalished and studied. Experimental verification was performed on serval prismatic beams in which the method provided adequate results. The exact location and extent of damage for several cases was predicted. When the method failed the prediction was very close to the actual condition in the structure. This method is easy to use and does not require a rigorous amount of instrumentation for obtaining the experimental data required in the detection scheme.en
dc.description.degreePh. D.en
dc.identifier.otheretd-111297-151222en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-111297-151222/en
dc.identifier.urihttp://hdl.handle.net/10919/29555en
dc.publisherVirginia Techen
dc.relation.haspartFREDDISS.PDFen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectEigenvalue Problemen
dc.subjectConvex Seten
dc.subjectDamage Detectionen
dc.titleDamage Detection Based on the Geometric Interpretation of the Eigenvalue Problemen
dc.typeDissertationen
thesis.degree.disciplineEngineering Science and Mechanicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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