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Exact three-dimensional free vibration analysis of thick homogeneous plates coated by functionally graded layer
2012 (English)In: Acta Mechanica, ISSN 0001-5970, E-ISSN 1619-6937, Vol. 223, no 10, p. 2153-2166Article in journal (Refereed) Published
Abstract [en]

Exact closed-form solutions are carried out for both in-plane and out-of-plane free vibration of thick homogeneous simply supported rectangular plates coated by a functionally graded (FG) layer, based on three-dimensional elasticity theory. The elasticity modulus and mass density of the FG coating are assumed to vary exponentially through the thickness of the coating layer, whereas Poisson’s ratio is remaining constant. The equations of motion are solved using two proposed displacement fields for the in-plane and out-of-plane vibration modes. By inserting the displacement fields in the 3-D elasto-dynamic equations, some independent ordinary equations are obtained and solved analytically. Natural frequencies are extracted by satisfying boundary conditions of interface and surfaces of the structure. The solution procedure is validated by comparing the obtained results with corresponding results of a 3-D finite element analysis. Finally, the influence of the FG coating layer on the natural frequencies of the structure is investigated and discussed. Clearly, the present closed-form solutions can exactly predict both in-plane and out-of-plane vibration modes of thick FG coated plates.

Place, publisher, year, edition, pages
2012. Vol. 223, no 10, p. 2153-2166
National Category
Building Technologies
Identifiers
URN: urn:nbn:se:ltu:diva-6503DOI: 10.1007/s00707-012-0683-3Local ID: 4bb3be28-898a-49a0-808b-9ebcabf109ffOAI: oai:DiVA.org:ltu-6503DiVA, id: diva2:979388
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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