Thermo-electrical influence of graphene nano-strip on viscothermoelastic nanobeam vibration

Abstract

In this article, Green-Naghdi type-II heat conduction law was used, and a new analysis of viscothermoelastic, homogeneous, and isotropic nanobeams has been developed. The first end of the beam is based on a graphene nanostrip connected to electricity with a low-voltage current. A thermal load has been applied to the nanobeam due to an electrical current causing a thermal effect. Under simply supported boundary conditions with a fixed aspect ratio, the Green-Naghdi theorem of Type-II has been applied. The Laplace transform domain has been used to calculate the solutions of governing equations. Hoing's approximation approach has been used to calculate the inverse Laplace transformation numerically. In this study, different values of electrical voltage and electrical resistance were used for different cases. Nanobeam functions were found to be significantly influenced by electrical voltage and electrical resistance. Thus, vibration and temperature increment could be controlled by varying electrical voltage and electrical resistance applied to the nanobeam.