Abstract
The nano/microelectromechanical systems (N/MEMS) have been caught much
attention in the past few decades for their attractive properties such
as small size, high reliability, batch fabrication, and low power
consumption. The dynamic oscillatory behavior of these systems is very
complex due to strong nonlinearities in these systems. The basic aim of
this manuscript is to investigate the nonlinear vibration property of
N/MEMS oscillators by the homotopy perturbation method coupled with
Laplace transform (also called as He-Laplace method in literature). A
generalized N/MEMS oscillator is systematically studied, and a fairly
accurate analytic solution is obtained. Three special cases for
electrically actuated MEMS, multi-walled Carbon nanotubes-based MEMS,
and MEMS subjected to van der Waals attraction are considered for
comparison, and a good agreement with exact solutions is observed.