Dynamic analysis of single-layered gheraphene sheet incorporating the Casimir and electrostatic forces

چکیده مقاله

This study reports an analytical method to show the effect of the Casimir force on the pull-in instability of single-layered graphene sheet (SLGS). Governing equations for of the SLGS under electrostatic forces are derived by using Hamilton’s principle for the case when two ends are simply supported. The problem is solved by using the analytically and the time integration methods. The detailed parametric study is considered, focusing on the remarkable effects of nonlocal parameters, nanoplate length, mode number, electric voltage of the Casimir parameter, and dielectric spacer with an initial gap g on vibration of SLGS.