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In this work, dynamic analysis of functionally graded piezoelectric cylindrical panels is carried out under different mechanical and electrical loads and boundary conditions by a three-dimensional mesh-free model. Moving least squares approximation is used in the weak form of governing equations including three-dimensional equations of motion and Maxwell’s equation. Transformation method is applied to impose the essential boundary conditions. A power-law distribution is used to determine the effective material properties in the panel. The resulting system of differential equations is solved using Newmark time integration method. After validation of the proposed model, parametric study is carried out to investigate the effects of boundary conditions, geometry of panel, and distribution of constituent materials on natural frequencies and dynamic response of functionally graded piezoelectric panel.

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.

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