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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.accessioned2015-05-28T14:56:08Z
dc.date.available2015-05-28T14:56:08Z
dc.date.issued1977-01-01
dc.identifier.citationNayfeh, A. H., & Kamat, M. P. (1977). Numerical-perturbation technique for the transverse vibrations of highly prestressed plates. Journal of the Acoustical Society of America, 61(1), 95-100. doi: 10.1121/1.381282en_US
dc.identifier.issn0001-4966en_US
dc.identifier.urihttp://hdl.handle.net/10919/52716
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 modific boundary conditions that account for the effects of bending. The methods of matched asymptotic and/or composite expansions are used to determine these modified boundary conditions. The agreement of the results of both methods with known exact solutions for simple geometries demonstrates the efficiency of this technique when compared with other well-known numerical techniques.en_US
dc.format.extent6 pagesen_US
dc.format.mimetypeapplication/pdfen_US
dc.language.isoen_USen_US
dc.publisherAcoustical Society of Americaen_US
dc.subjectBoundary value problemsen_US
dc.subjectDifferential equationsen_US
dc.subjectExact solutionsen_US
dc.subjectNumerical solutionsen_US
dc.subjectTransverse effectsen_US
dc.titleNumerical-perturbation technique for the transverse vibrations of highly prestressed platesen_US
dc.typeArticle - Refereeden_US
dc.identifier.urlhttp://scitation.aip.org/content/asa/journal/jasa/61/1/10.1121/1.381282en_US
dc.date.accessed2015-05-12en_US
dc.title.serialJournal of the Acoustical Society of Americaen_US
dc.identifier.doihttps://doi.org/10.1121/1.381282
dc.type.dcmitypeTexten_US


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