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• W2182548721 abstract "Summary. This paper focuses on the dynamical behaviour of moderately thick cracked plates of arbitrary shape, made of Functionally Graded Materials ( FGMs). The mechanical properties of FGMs vary along the thickness of the plate. The theoryof thick flat plates, known as the First-order Shear Deformation Theory (FSDT), is consid ered in this study. The Generalized Differential Quadrature Finite Element Method (GDQFEM) is proposed as numerical approach and is based on the Generalized Differential Quadrature (GD Q) Method. The GDQFEM firstly decomposes the whole domain into several sub-domains of gen eric shape and the Differential Quadrature (DQ) discretization is applied locally wit hin the coordinate transformation approach. The irregular physical domain in Cartesian coordin ates is transformed into a regular domain in natural coordinates, also known as the parent doma in. It appears that GDQFEM is related to the well-known Finite Element Method (FEM), ev en if the governing equations are solved in their strong formulation, when the proposed ap proach is used. The connections between the discrete elements are imposed with the inter-el ement compatibility conditions. The validity of the proposed methodology is confirmed throughou t several convergence studies involving natural frequencies of arbitrarily shaped plates w ith generally oriented cracks and mixed boundary conditions. The frequency results show exce llent agreement with other numerical solutions obtained by FEM. Furthermore, FGM plate natu ral frequencies are computed using a four-parameter power-law distribution. Most of theconsidered configurations is not analysed in previous works." @default.
• W2182548721 created "2016-06-24" @default.
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• W2182548721 date "2013-01-01" @default.
• W2182548721 modified "2023-09-22" @default.
• W2182548721 title "FREE VIBRATIONS OF FUNCTIONALLY GRADED CRACKED PLATES OF ARBITRARY SHAPE VIA GDQFEM" @default.
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