Analysis of the vibrations of inflatable dams under overflow conditions

dc.contributor.authorWu, Pai-Hungen
dc.contributor.committeechairPlaut, Raymond H.en
dc.contributor.committeememberBarker, Richard M.en
dc.contributor.committeememberDiplas, Panosen
dc.contributor.committeememberHolzer, Siegfried M.en
dc.contributor.committeememberLiapis, Stergios I.en
dc.contributor.departmentCivil Engineeringen
dc.date.accessioned2014-03-14T21:19:32Zen
dc.date.adate2008-10-02en
dc.date.available2014-03-14T21:19:32Zen
dc.date.issued1995en
dc.date.rdate2008-10-02en
dc.date.sdate2008-10-02en
dc.description.abstractA two-dimensional analysis is applied to the vibrations of inflatable dams under overflow conditions. The static analysis yields the equilibrium state for both the free surface profile and the shape of the dam. The dynamic analysis investigates the small vibrations of the inflatable dam about the equilibrium state. The dam is inextensible, air-inflated, and has two anchored points. The base width, curved perimeter, and internal air pressure are given. The overflow is incompressible, inviscid, and irrotational, and the total head is specified. In the static analysis, the self-weight of the dam is neglected, and the equations of equilibrium from membrane theory are solved by a multiple shooting method. The boundary element method is used to solve Laplace’s equation defined on the overflow domain. An iterative scheme is adopted to obtain the shape of the dam, as well as the location of the free surface. From the equilibrium state, the dynamic analysis is established by a finite difference form of the membrane’s equations of motion and the velocity potential problem is formulated by the boundary element method. After the eigenvalue problem is solved, the eigenvalues and eigenvectors obtained are employed to describe the vibrations of the dam. The effects of the dam‘s density and damping coefficient are illustrated.en
dc.description.degreePh. D.en
dc.format.extentix, 114 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-10022008-063021en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-10022008-063021/en
dc.identifier.urihttp://hdl.handle.net/10919/39535en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V856_1995.W8.pdfen
dc.relation.isformatofOCLC# 34091681en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1995.W8en
dc.titleAnalysis of the vibrations of inflatable dams under overflow conditionsen
dc.typeDissertationen
dc.type.dcmitypeTexten
thesis.degree.disciplineCivil Engineeringen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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