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Vibration analysis of functionally graded rectangular plates partially resting on elastic supports using the first-order shear deformation theory and differential quadrature element method

  • Arash ShahbaztabarEmail author
  • Ahmad Rahbar Ranji
Technical Paper
First Online:
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Abstract

The novelty of this research paper lies in extending the applications of differential quadrature element method to study the vibrational behavior of functionally graded rectangular plates with local elastic supports. The effective material properties of a functionally graded plate are considered to vary continuously along the thickness direction according to a volume fraction power law distribution. Based on the different arrangements of local elastic supports, the plate is divided into the elements and the governing, boundary and compatibility equations are discretized by using the generalized differential quadrature method. By assembling the stiffness and mass matrices of the plate elements at all grid points on the entire computational domain, the natural frequencies are obtained. High accuracy and eligibility of the present method are confirmed by drawing a comparison between the present results and those of the exact and other numerical solutions, and the impact of different variables and local elastic foundation arrangements on the natural frequencies is studied.

Keywords

Differential quadrature element method Partially elastic support Natural frequency FG plates Compatibility equations 
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Notes

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Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2019

Authors and Affiliations

  1. 1.Department of Ocean EngineeringAmirKabir University of TechnologyTehranIran

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