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In-plane vibration of a plate having an elliptical hole of arbitrary eccentricity

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dc.contributor.authorCooke, Robert Fielden
dc.contributor.committeechairJohnson, Harry H.en
dc.contributor.committeememberHeller, Robert A.en
dc.contributor.committeememberHenneke, Edmund G. IIen
dc.contributor.committeememberSwift, George W.en
dc.contributor.committeememberKaiser, John E. Jr.en
dc.contributor.departmentEngineering Science and Mechanicsen
dc.date.accessioned2014-03-14T21:11:11Zen
dc.date.adate2010-05-19en
dc.date.available2014-03-14T21:11:11Zen
dc.date.issued1975-04-05en
dc.date.rdate2010-05-19en
dc.date.sdate2010-05-19en
dc.description.abstractThe in-plane vibration of a plate with an elliptic hole is studied. It is shown that standing waves whose wavelength is the same order of magnitude as the size of the hole are theoretically capable of causing microcracks which have been observed experimentally. Several approaches were used including reduction of the mixed boundary value problem to a Fredholm equation, and to a matrix eigenvalue problem. Contour curves of various stresses and displacements were obtained numerically. A new technique was developed for the solution of the wave equation appropriate for boundary conditions on an elliptical surface.en
dc.description.degreePh. D.en
dc.format.extent182 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-05192010-020341en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-05192010-020341/en
dc.identifier.urihttp://hdl.handle.net/10919/37843en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V856_1975.C655.pdfen
dc.relation.isformatofOCLC# 21992439en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1975.C655en
dc.subject.lcshEccentrics (Machinery)en
dc.subject.lcshPlates (Engineering) -- Vibrationen
dc.titleIn-plane vibration of a plate having an elliptical hole of arbitrary eccentricityen
dc.typeDissertationen
dc.type.dcmitypeTexten
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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