Free vibration analysis of porous nanoplates using NURBS formulations

Abstract

This paper presents free vibration analysis of functionally graded (FG) porous nanoplates based on isogeometric approach. Based on a modified power-law function, material properties are given. The nonlocal elasticity is used to capture size effects. According to a combination of the Hamilton’s principle and the higher order shear deformation theory, the governing equations of the porous nanoplates are derived. Effects of nonlocal parameter, porosity volume fraction, volume fraction exponent and porosity distributions on free vibration analysis of the porous nanoplates are performed and discussed.