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

  • Authors

    • Sayyad Boreyri PhD candidate,Department of Marine technologyAmirkabir University of Technology
    • Mohamad Javad Ketabdari Associate professor,Department of Marine technologyAmirkabir University of Technology
    • Pouya Mohtat
    • Ali Moosavi
    2016-06-21
    https://doi.org/10.14419/ijpr.v4i2.6045
  • FGM Plate, In-Plane Inhomogeneity, Free Vibration, Semi-Analytical Solution.

  • 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.

  • References

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  • How to Cite

    Boreyri, S., Ketabdari, M. J., Mohtat, P., & Moosavi, A. (2016). Transverse vibration analysis of FGM plates with in-plane exponentially non-homogeneous material. International Journal of Physical Research, 4(2), 43-47. https://doi.org/10.14419/ijpr.v4i2.6045

    Received date: 2016-03-28

    Accepted date: 2016-04-27

    Published date: 2016-06-21