Abstract

This paper presents an investigation into large deflection analysis of moderately thick radially functionally graded (RFG) annular sector plates fully and partially rested on two-parameter (Pasternak) elastic foundation by employing Generalized Differential Quadrature (GDQ) method. The material properties are graded through the radial direction of plates according to a power-law distribution of the volume fraction of the constituent. Based on the first-order shear deformation theory in conjunction with non-linear von Kármán assumptions, the equilibrium equations are derived. Application of GDQ method to the equilibrium equations leads to a system of non-linear algebraic equations. The set of non-linear algebraic equations are then solved by employing the Newton–Raphson iterative scheme. It is shown that the predictions of GDQ method vis-à-vis other numerical methods reported in the literature, are in a good agreement. Furthermore, effects of change in power law index, geometrical parameters and stiffness of foundation are studied in detail.

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