Bending and free vibration analysis of Levy-type porous functionally graded plate using state space approach

By P. Demirhan, Vedat Taşkın. Composites Part B: Engineering, 2019

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Abstract This paper aims to investigate the free vibration and bending characteristics of porous functionally graded (FG) plate with two opposite simply supported edges based on a four variable plate theory. Material properties of porous FG plate are defined by rule of the mixture with an additional term of porosity in the through-thickness direction. Equations of motion are derived using Hamilton principle. State-space approach is used to obtain the governing equation of porous FG plate. The effect of porosity parameter, slenderness ratio, and the power-law index is investigated on bending and vibration of porous FG plate. The results are compared with available results in the literature to verify this theory.

Subfields: Control and Systems Engineering, Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/a63b371f4955f1ddfef48231dd6ad30d84004f11