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An exact analytical approach for in-plane and out-of-plane free vibration analysis of thick laminated transversely isotropic plates
2012 (English)In: Archive of applied mechanics (1991), ISSN 0939-1533, E-ISSN 1432-0681, Vol. 82, no 5, p. 677-698Article in journal (Refereed) Published
Abstract [en]

In this article, the governing equations of motion of thick laminated transversely isotropic plates are derived based on Reddy’s third-order shear deformation theory. These equations are exactly converted to four uncoupled equations to study the in-plane and out-of-plane free vibrations of thick laminated plates without any usage of approximate methods. Based on the present analytical approach, exact Levy-type solutions are obtained for thick laminated transversely isotropic plates and, for some boundary conditions, the exact characteristic equations hitherto not reported in the literature are given. Also, the in-plane and out-of-plane deformed mode shapes are plotted for different boundary conditions. The present solutions can accurately predict both the in-plane and out-of-plane natural frequencies and mode shapes of thick laminated transversely isotropic plates.

Place, publisher, year, edition, pages
2012. Vol. 82, no 5, p. 677-698
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Building Technologies
Identifiers
URN: urn:nbn:se:ltu:diva-9418DOI: 10.1007/s00419-011-0583-3Local ID: 80838bf1-7924-4587-b2ff-04718add6707OAI: oai:DiVA.org:ltu-9418DiVA, id: diva2:982356
Note
Upprättat; 2012; 20121010 (rasata)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-06-11Bibliographically approved

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Atashipour, Seyed Rasoul

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