Analytical investigation of the refined zigzag theory for electro-magneto vibration response of the viscoelastic FG-GPLRC sandwich microplates

Abstract

Vibration behaviors of the viscoelastic sandwich microplates with graphene nanoplatelets (GPLs)-reinforced/Epoxy layer as core and sensor/actuator layers as piezoelectric face sheets are checked in this study. Small scale effects on the structure are computed by nonlocal elasticity modified couple stress theory (MCST). The piezoelectric layers and the core are exposed to the electromagnetic field. Modified Halpin-Tsai model and rule of mixtures (ROM) are assumed to obtain mechanical properties due to functionally graded graphene nanoplatelets (FG-GPLs)’s distributions as uniform, parabolic and linear. The viscoelastic sandwich piezoelectric microplates are embedded in orthotropic Visco Pasternak medium. In addition, the Kelvin-Voigt model is employed to calculate the viscoelastic properties of the structure. The equations of motion are derived using Hamilton’s principle based on refined zigzag theory (RZT). The effects of some remarkable parameters such as geometrical dimensions of the system, magnetic field, external voltage, small scale parameter and etc. are used to investigate frequency and damping of the system. Furthermore, decrement in system frequency is indicated when external voltages grow from to It is expected that this research will be able to address the challenges ahead in smart equipment and devices, and with control capability, it also can be used in the high-tech parts.