A nonlinear oscillator arising in a micro-electro-mechanical system
(MEMS) is difficult to be solved analytically due to the zero
conditions. so the main objective of this work is to analyze the
mathematical model of this system, and its approximate analytical
solution is solved via the coupling Variational Iteration method and
Laplace transform(LVIM). This method provides an efficient way to obtain
the approximate nonlinear frequency and approximate solutions of MEMS.
Moreover, LVIM also approximates the pull-in threshold in terms of model
parameters. Finally, the results are compared with the exact one and a
good result is obtained.