Free Vibration Analysis of Moderately Thick Rectangular Plate Made of Functionally Graded Material on Arbitrary Supports Using Extended Kantorovich Method

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Fallah, Ali | 2011

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 42556 (08)
University: Sharif University of Technology
Department: Mechanical Engineering
Advisor(s): Kargarnovin, Mohammad Hossein; Mohammadi Aghdam, Mohamamd
Abstract:
In this study, free vibration analysis of moderately thick rectangular FG plates with general boundary conditions is investigated. Governing equations of motion are obtained based on the Mindlin plate theory. A semi analytical solution is presented for the governing equations using extended Kantorovich method (EKM). Results are compared and validated with available results in the literature. Effects of different parameters such as boundary conditions, material and geometrical parameters on natural frequencies of the FG plates are investigated
Keywords:
Free Vibration ; Rectangular Plate ; Extended Kantorovich Method ; First-Order Shear Deformation Theory ; Functionally Graded Materials (FGM)

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