Influence of graphene nano-strips on the vibration of thermoelastic nanobeams

Abstract

This research deals with the investigation of the vibrational behavior of thermoelastic homogeneous isotropic nanobeams, with particular emphasis on the application of non-Fourier heat conduction theory. The nanobeam is configured with one end having a graphene nano-strip connected to an electrical source supplying a low voltage current. To analyze this system, the Green-Naghdi type I and type III theorems are applied within the framework of simply supported boundary conditions while maintaining a fixed aspect ratio. The nanobeam is subjected to thermal loading due to the heat generated by the current flow through the graphene nano-strip. The governing equations are solved in the Laplace transform domain, and the inverse Laplace transform is computed numerically using Tzou's approximation method. Our results, as shown in the figures, reveal different scenarios characterized by varying electric voltage and electric resistance values for the nanographene strips. It is evident that these parameters exert a profound influence on the functional behavior of the nanobeam, thus providing a mechanism to regulate both its vibrational characteristics and temperature rise through judicious manipulation of the electrical voltage and resistance levels.