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On the exact in-plane and out-of-plane free vibration analysis of thick functionally graded rectangular plates: Explicit 3-D elasticity solutions
School of Mechanical Engineering, Iran University of Science and Technology, Narmak, Islamic Azad University, Tehran South Campus, Islamic Azad University, Hamedan University of Technology, School of Mechanical Engineering, Iran University of Science and Technology, Tehran.
School of Mechanical Engineering, Iran University of Science and Technology, Narmak.
School of Mechanical Engineering, Iran University of Science and Technology, Narmak.ORCID iD: 0000-0002-7191-5609
Department of Civil, Chemical and Environmental Engineering, Genoa University.
2013 (English)In: Composites Part B: Engineering, ISSN 1359-8368, E-ISSN 1879-1069, Vol. 46, p. 108-115Article in journal (Refereed) Published
Abstract [en]

In this paper exact closed-form solutions of 3-D elasticity theory are presented to study both in-plane and out-of-plane free vibrations for thick functionally graded simply supported rectangular plates. The solution procedure of the transverse vibration utilizes Levinson’s representation form to describe the displacement; in this way, the 3-D elasto-dynamic equations are written in terms of some suitable independent functions satisfying ordinary differential equations. A similar procedure is presented for in-plane vibration by introducing an appropriate displacement field. In each case, the obtained ordinary differential equations are analytically solved and boundary conditions are satisfied. The proposed solutions are validated by comparing some of the present results with corresponding results known in the literature as well as with 3-D Finite Element Method. Finally, the influence of inhomogeneity on the natural frequencies for a thick functionally graded rectangular plate is discussed.

Place, publisher, year, edition, pages
2013. Vol. 46, p. 108-115
National Category
Building Technologies
Research subject
Timber Structures
Identifiers
URN: urn:nbn:se:ltu:diva-14570Local ID: df5b705f-a9d6-4459-ad74-b81b19b7abcdOAI: oai:DiVA.org:ltu-14570DiVA, id: diva2:987543
Note
Upprättat; 2013; 20141117 (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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