Analytical solutions of free vibration analysis of nano-plate FG porous using nonlocal elasticity theory.

Analytical solutions of free vibration analysis of nano-plate FG porous using nonlocal elasticity theory.

Phenomenological Aspects of Civil Engineering (PACE) - an International Congress
Volume 1 - Issue 1 - PACE-2021

Merdaci Hadj Mostefa Adda ZERROUKI Otmane

Abstract

This paper presents the analytical solutions of free vibration analysis of simply supported case of a typical functionally graded ceramic /metal FG nano-plate porous using nonlocal high-order shear deformation theory. In is work the material properties of the porous nano-plate FG vary across the thickness. The objective of this article is to define the free vibration of functionally graded nano-plates nonlocal elasticity to study the effect of the various parameters. The Hamilton's principle will be used herein to determine the equations of motion. Since, the plate are simply supported the Navier procedure will be retained. Effects of the exponent graded and porosity factors are investigated.

Keywords

Analytical solutions, free vibration, nano-plate, porosity, nonlocal elasticity.
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