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.accessioned2015-05-28T14:56:08Zen
dc.date.available2015-05-28T14:56:08Zen
dc.date.issued1977-01-01en
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
dc.format.extent6 pagesen
dc.format.mimetypeapplication/pdfen
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
dc.identifier.doihttps://doi.org/10.1121/1.381282en
dc.identifier.issn0001-4966en
dc.identifier.urihttp://hdl.handle.net/10919/52716en
dc.identifier.urlhttp://scitation.aip.org/content/asa/journal/jasa/61/1/10.1121/1.381282en
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.subjectDifferential equationsen
dc.subjectExact solutionsen
dc.subjectNumerical 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.typeArticle - Refereeden
dc.type.dcmitypeTexten

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