Thermo-electrical influence of graphene nano-strip on viscothermoelastic nanobeam vibration based on Lord–Shulman model

Thermoelastic, homogeneous, and isotropic nanobeams have a significant analysis in this study that has been established within the context of the Lord–Shulman heat conduction equation. A graphene strip at the first end of the nanobeam acts as the basis for an application that includes an electrical current with a low voltage. The thermal effect of the electrical current has thermally loaded the nanobeam under constant side ratios and simply supported boundary conditions. The Laplace transform method was used to resolve the governing differential equations for the time variable. In the domain of the Laplace transform, the solutions were calculated. The numerical computation of the Laplace transform inversions was performed using Hoing’s approximation approach based on an iteration formula. Graphs illustrating various situations were used to demonstrate the numerical results for various electrical voltage and resistivity values for the graphene nano-strip. Nanobeam functions were found to be significantly influenced by electrical voltage and electrical resistance. Therefore, by varying the voltage and resistance applied to the nanobeam, vibration and temperature increments could be controlled.