Vibration analysis of porous material plate using the first-order shear deformation theory
In this paper the first-order shear deformation theory (FSDT) is used to analyze the free vibration of the rectangular plate made of porous materials. The elasticity moduli and mass density of porous materials are assumed to be graded in the thickness direction according to two different distribution types (symmetric and un-symmetric). Based on the Hamilton’s principle, the equations of motion are derived. The effect of porosity coeficient, varying porosity distributions, and geometrical parameters on natural frequencies are investigated. To verify the reliability of the present solution, the comparisons between the obtained results and those available in the literature are performed for isotropic plate, and very good agreement is observed.
Keywords: vibration analysis; porous material plate; fisrt shear deformation theory.
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