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International Journal of Mechanics and Materials in Design

Erschienen in:

01.06.2010

Free vibration analysis of functionally graded plates resting on Winkler–Pasternak elastic foundations using a new shear deformation theory

verfasst von: Hassen Ait Atmane, Abdelouahed Tounsi, Ismail Mechab, El Abbas Adda Bedia

Erschienen in: International Journal of Mechanics and Materials in Design | Ausgabe 2/2010

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Abstract

Free vibration analysis of simply supported functionally graded plates (FGP) resting on a Winkler–Pasternak elastic foundation are examined by a new higher shear deformation theory in this paper. Present theory exactly satisfies stress boundary conditions on the top and the bottom of the plate. The material properties change continuously through the thickness of the plate, which can vary according to power law, exponentially or any other formulations in this direction. The equation of motion for FG rectangular plates resting on elastic foundation is obtained through Hamilton’s principle. The closed form solutions are obtained by using Navier technique, and then fundamental frequencies are found by solving the results of eigenvalue problems. The numerical results obtained through the present analysis for free vibration of functionally graded plates on elastic foundation are presented, and compared with the ones available in the literature.

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Titel: Free vibration analysis of functionally graded plates resting on Winkler–Pasternak elastic foundations using a new shear deformation theory
verfasst von: Hassen Ait Atmane
Abdelouahed Tounsi
Ismail Mechab
El Abbas Adda Bedia
Publikationsdatum: 01.06.2010
Verlag: Springer Netherlands
Erschienen in: International Journal of Mechanics and Materials in Design / Ausgabe 2/2010
Print ISSN: 1569-1713
Elektronische ISSN: 1573-8841
DOI: https://doi.org/10.1007/s10999-010-9110-x

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