Inplane vibration of radial functional graded piezoelectric annular plates with elastic boundary

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Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (8) : 225-237.

HU Tonghao, SHEN Jiping, YAO Linquan

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Abstract

Based on the twodimension linear elastic theory, the inplane 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 inplane 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.

Key words

elastic boundary;functionally graded annular plates / in-plane free vibration / differential quadrature method / modal characteristics

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HU Tonghao, SHEN Jiping, YAO Linquan. Inplane vibration of radial functional graded piezoelectric annular plates with elastic boundary[J]. Journal of Vibration and Shock, 2018, 37(8): 225-237

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