Studying nonlinear vibration analysis of nanoelectro-mechanical resonators via analytical computational method

Abstract

Periodic behaviour analysis of nano/microelectromechanical systems (N/MEMS) is an important area due to its numerous prospective applications in micro instruments. The intriguing and unique qualities of these systems, notably their tiny size, batch manufacturing, low power consumption, and great dependability have piqued the attention of academics and enterprises in using these structures to manufacture various microdevices. This article presents the parameter expansion method (PEM) to obtain the approximate solutions of N/MEMS. The present approach, as well as its speed and simplicity in providing analytical solutions that converge quickly to the exact numerical ones, distinguishes this study. The PEM has the benefit of immediately providing analytical solutions to nonlinear differential equations while avoiding costly calculations. Furthermore, in terms of establishing numerous terms of semi-analytic solutions, this approach is very faster and superior to other established analytical techniques in the literature.

Keywords

• nanoelectro-mechanical resonators
• nonlinear vibration
• analytical method
• cantilever beam
• numerical solution