Thermo-resonance analysis of an excited graphene sheet using a new approach

This paper analyzes the thermo-vibration response of a graphene sheet excited with a uniform harmonic. The problem is here tackled with a novel approach combined with a nonlocal strain gradient theory (NSGT), in order to include the size-dependence and the nonlocality effect on impacts. Simply-supported plates are here studied analytically, according to the Navier’s method. Thus, the thermo-forced vibration equations of the problem are here written and solved numerically for graphene sheets. The accuracy of the proposed theory is checked by means of several comparative evaluations with respect to the available results from literature. Another key aspect of the works is the sensitivity of the thermo-mechanical response of the plate structures to different thermal and mechanical input parameters. This could be of great interest for design purposes for many engineering applications, including nanoelectromechanical systems (NEMS), biosensors, piezoelectric devices, biomechanical tissues, among others.