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Free vibration analysis of moderately thick functionally graded plates on elastic foundation using the extended Kantorovich method

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Abstract

Free vibration analysis of moderately thick rectangular FG plates on elastic foundation with various combinations of simply supported and clamped boundary conditions are studied. Winkler model is considered to describe the reaction of elastic foundation on the plate. Governing equations of motion are obtained based on the Mindlin plate theory. A semi-analytical solution is presented for the governing equations using the extended Kantorovich method together with infinite power series solution. Results are compared and validated with available results in the literature. Effects of elastic foundation, boundary conditions, material, and geometrical parameters on natural frequencies of the FG plates are investigated.

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Authors and Affiliations

  1. School of Mechanical Engineering, Sharif University of Technology, Azadi Ave., Tehran, Iran

    A. Fallah & M. H. Kargarnovin

  2. Department of Mechanical Engineering, Amirkabir University of Technology, Hafez Ave, Tehran, Iran

    M. M. Aghdam

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  1. A. Fallah
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  2. M. M. Aghdam
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  3. M. H. Kargarnovin
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Correspondence to M. M. Aghdam.

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Fallah, A., Aghdam, M.M. & Kargarnovin, M.H. Free vibration analysis of moderately thick functionally graded plates on elastic foundation using the extended Kantorovich method. Arch Appl Mech 83, 177–191 (2013). https://doi.org/10.1007/s00419-012-0645-1

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  • DOI: https://doi.org/10.1007/s00419-012-0645-1

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