Analytical solution for free vibration of piezoelectric coupled moderately thick circular plates

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Original languageEnglish
Pages (from-to)2129-2151
Journal / PublicationInternational Journal of Solids and Structures
Issue number8
Publication statusPublished - 12 Apr 2002
Externally publishedYes


An analytical model for free vibration analysis of piezoelectric coupled moderately thick circular plate is presented based on Mindlin's plate theory for the cases where electrodes on the piezoelectric layers are shortly connected. The distribution of electric potential along the thickness direction is simulated by a sinusoidal function. The differential equations of motion are solved analytically for two boundary conditions of the plate: clamped edge and simply supported edge. The detailed mathematical derivations are presented. Numerical investigations are performed for plates with two surface-bonded piezoelectric layers for various diameter-thickness ratios and the results are verified by those obtained from three-dimensional finite element analyses (ABAQUS 6.1). © 2002 Published by Elsevier Science Ltd.

Research Area(s)

  • Analytical, Electric potential, Mindlin, Piezoelectric, Plate