Numerical investigation on nonlinear vibration of FG-GNPRC dielectric membrane with internal pores

Abstract

Functionally graded graphene nanoplatelet reinforced composite (FG-GNPRC) shows great potential for developing high-performance and multifunctional structures. This paper investigates damped nonlinear vibration of FG-GNPRC dielectric membrane with pores. A two-step hybrid mechanical model is developed to determine the material properties of the multiphase composites. Governing equations involving damping and dielectric properties are derived by utilizing an energy-based approach. To solve the governing equations, Taylor series expansion (TSE) and differential quadrature (DQ) together with direct iterative methods are utilized, respectively. Accuracy and convergence of the presented solution are verified. An extensive numerical study is performed to check the influences of pores, the attributes of the electrical field and GNP on the nonlinear behavior of GNPRC membrane. It is found that the external electric field is evidenced to have more significant effect on regulating the nonlinear vibration of the membrane with smaller aspect ratio pores.