Nonlinear Vibration of FG-GNPRC Dielectric Beam with Kelvin-Voigt Damping in Thermal Environment

The excellent properties of graphene reinforced composites (GRC) enable them to be promising material candidates for developing high-performance and multifunctional devices and structures. When subjected to thermal environment, temperature can significantly affect the structural behaviors of these components. It is necessary to consider the effects of temperature while conducting structural analysis. This work first attempts to investigate the nonlinear vibration of functionally graded (FG) graphene nanoplatelet (GNP) reinforced composite (FG-GNPRC) dielectric beams with comprehensively considering the effects of FG distribution of the reinforcements, temperature, electrical field and damping. The established governing equations for the FG-GNPRC dielectric beam are discretized and solved by differential quadrature (DQ) and direct iterative methods. The numerical results demonstrate that the application of pre-strain can attenuate the effect of electric fields and temperature on the frequency ratio, resulting in a more stable structure. Among the FG distribution patterns as involved, the FG-GNPRC beam with profile X exhibits lower frequency ratio and higher stability. This work is envisaged to provide guidelines for the design of FG-GNPRC structures with optimized performances in thermal environment.