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Structural Engineering and Mechanics
  Volume 71, Number 5, September10 2019 , pages 459-467

Application of hyperbolic shear deformation theory to free vibration analysis of functionally graded porous plate with piezoelectric face-sheets
M. Arefi and M. Meskini

    In this paper, hyperbolic shear deformation theory is used for free vibration analysis of piezoelectric rectangular plate made of porous core. Various types of porosity distributions for the porous material is used. To obtain governing equations of motion, Hamilton\'s principle is used. The Navier\'s method is used to obtain numerical results of the problem in terms of significant parameters. One can conclude that free vibration responses are changed significantly with change of important parameters such as various porosities and dimensionless geometric parameters such as thickness to side length ratio and ratio of side lengths.
Key Words
    free vibration; porous material; hyperbolic shear deformation theory; Hamilton\'s principle; porosity distribution
Department of Solid Mechanic, Faculty of Mechanical Engineering, University of Kashan, Kashan 87317-51167, Iran

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