Nonlinear vibration of FG-GPLRC dielectric plate with active tuning using differential quadrature method

Abstract

Nonlinear vibration characteristics of functionally graded graphene platelets (GPLs) reinforced composite (FG-GPLRC) plate subjected to electrical loading are investigated. Three functionally graded profiles, which are characterized by average volume content and grading slope, are considered in present study. Tensile modulus and dielectric permittivity required for structural analysis are obtained using effective medium theory (EMT) while Poisson’s ratio and mass density are determined by the rule of mixture. Nonlinear governing equations for free vibration of the FG-GPLRC plate are derived using Hamilton’s principle and are numerically solved by the differential quadrature method (DQM). The results show that the vibration behaviors of the FG-GPLRC plates can be actively tuned by varying the attributes of the electrical fields. The influences of functionally graded profiles, GPL average volume content, grading slope and the attributes of electrical loadings on the vibration of the plates are investigated and discussed. This work is envisaged to provide guidelines in developing GPL reinforced smart materials and structures.