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Free vibration analysis of functionally graded fiber reinforced cylindrical panels by a three dimensional mesh-free model

In this paper, free vibration analysis of functionally graded fibers reinforced cylindrical panels is carried out by a three-dimensional mesh free model. Moving least squares shape functions in cylindrical coordinates are used for approximation of displacement field in the weak form of motion equations. Two kinds of variations of the mechanical properties in the thickness direction are considered. In the first model the fibers are assumed to be oriented in the axial direction and volume fractions of the fibers and matrix are changed continuously according to the power-law distribution. In the second model the volume fractions of constituents are constant and the fibers orientation is changed continuously in the thickness direction according to the power-law distribution. For each model various boundary conditions are considered and effects of boundary conditions, fibers orientation, exponent of volume fractions and the panel geometry on the natural frequencies are investigated.