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dc.contributorVirginia Tech. Engineering Science and Mechanics Departmenten_US
dc.contributor.authorNayfeh, Ali H.en_US
dc.contributor.authorKamat, Manohar P.en_US
dc.date.accessioned2015-05-28T14:56:09Z
dc.date.available2015-05-28T14:56:09Z
dc.date.issued1975
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_US
dc.identifier.issn0001-4966en_US
dc.identifier.urihttp://hdl.handle.net/10919/52723
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_US
dc.format.extent2 pagesen_US
dc.format.mimetypeapplication/pdfen_US
dc.language.isoen_USen_US
dc.publisherAcoustical Society of Americaen_US
dc.subjectBoundary value problemsen_US
dc.subjectNumerical solutionsen_US
dc.subjectDifferential equationsen_US
dc.subjectExact solutionsen_US
dc.subjectTransverse effectsen_US
dc.titleNumerical-perturbation technique for the transverse vibrations of highly prestressed platesen_US
dc.typeAbstracten_US
dc.identifier.urlhttp://scitation.aip.org/content/asa/journal/jasa/58/S1/10.1121/1.2002126en_US
dc.date.accessed2015-05-12en_US
dc.title.serialJournal of the Acoustical Society of Americaen_US
dc.identifier.doihttps://doi.org/10.1121/1.2002126
dc.type.dcmitypeTexten_US


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