Abstract:Based on the twodimension linear elastic theory, the inplane free vibration differential equations for radial functionally graded piezoelectric (FGPM) annular plates were derived. Using the differential quadrature method (DQM), the differential equations and boundary conditions were discretized and the characteristic equation of the frequency was obtained. Assuming that the physical parameters of the material vary in the form of a power function, the dimensionless natural frequency of inplane free vibration of FGPM annular plates were solved numerically. The influence of the gradient exponent p, the inner to outer diameter ratio η, the stiffness of elastic boundaries k and piezoelectric effect of the radial FGPM annular plate on the dimensionless frequency was considered under the combination of elastic boundary and the open electrical boundary. Finally, the modal characteristics of radial FGPM annular plate were studied.
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