Transverse vibration analysis of FGM plates with in-plane exponentially non-homogeneous material

  • Abstract
  • Keywords
  • References
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  • Abstract

    In this research, free vibration of rectangular functionally graded (FG) plates with in-plane exponentially non-homogeneous material is investigated. Young’s modulus and mass density are assumed to vary between a metal-rich and a ceramic-rich zone along one in-plane direction of the plate.

    The governing differential equation is derived for the case, and a truncated Taylor series expansion technique is utilized to calculate natural frequencies. A Levy-type solution is obtained for plates having two simply supported edges parallel with the material gradient direction. Results for normalized natural frequency are compared with the 4th order Runge-Kutta method, and when possible with exact solution, showing an accurate agreement. Furthermore, a comprehensive parametric study is carried out to determine the effects of different boundary conditions, aspect ratios, and material variations on the free vibration of FGM plates.

  • Keywords

    FGM Plate; In-Plane Inhomogeneity; Free Vibration; Semi-Analytical Solution.

  • References

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Article ID: 6045
DOI: 10.14419/ijpr.v4i2.6045

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