Numerical-perturbation technique for the transverse vibrations of highly prestressed plates

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dc.contributorVirginia Tech. Engineering Science and Mechanics Departmenten
dc.contributor.authorNayfeh, Ali H.en
dc.contributor.authorKamat, Manohar P.en
dc.contributor.departmentBiomedical Engineering and Mechanicsen
dc.date.accessed2015-05-12en
dc.date.accessioned2015-05-28T14:56:09Zen
dc.date.available2015-05-28T14:56:09Zen
dc.date.issued1975en
dc.description.abstractUnder the usual assumptions of small strains with moderately large rotations, the problem of the transverse vibrations of highly prestressed nonuniform annular plates is reduced to the solution of the differential equation governing the transverse vibration of the corresponding prestressed membrane subject to modified boundary conditions that account for the effects of bending. The method of composite expansions is used to determine these modified boundary conditions. The agreement of the present solution or results with known exact solutions for simple geometries demonstrates the efficiency of this method when compared with other well-known numerical techniques.en
dc.format.extent2 pagesen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationNayfeh, A. H. & Kamat, M. P. (1975). Numerical-perturbation technique for the transverse vibrations of highly prestressed plates. Journal of the Acoustical Society of America, 58, S42-S42. doi: 10.1121/1.2002126en
dc.identifier.doihttps://doi.org/10.1121/1.2002126en
dc.identifier.issn0001-4966en
dc.identifier.urihttp://hdl.handle.net/10919/52723en
dc.identifier.urlhttp://scitation.aip.org/content/asa/journal/jasa/58/S1/10.1121/1.2002126en
dc.language.isoen_USen
dc.publisherAcoustical Society of Americaen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectBoundary value problemsen
dc.subjectNumerical solutionsen
dc.subjectDifferential equationsen
dc.subjectExact solutionsen
dc.subjectTransverse effectsen
dc.titleNumerical-perturbation technique for the transverse vibrations of highly prestressed platesen
dc.title.serialJournal of the Acoustical Society of Americaen
dc.typeAbstracten
dc.type.dcmitypeTexten

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