Effect of Shear Theories on Free Vibration of Functionally Graded Plates

Analytical solution of the first-order and third-order shear deformation theories are developed to study the free vibration behavior of simply supported functionally graded plates. The material properties of plate are assumed to be graded in the thickness direction as a power law distribution of volume fraction of the constituents. The governing equations of functionally graded plates are established by applying the Hamilton's principle and are solved by using the Navier solution method. The influence of side-tothickness ratio and constituent of volume fraction on the natural frequencies are studied. The results are validated with the known data in the literature.

Authors:

• M. Karami Khorramabadi
• M. M. Najafizadeh
• J. Alibabaei Shahraki
• P. Khazaeinejad

Keywords:

• Free vibration
• Functionally graded plate
• Naviersolution method.

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