Eur. Phys. J. Plus (2019) 134: 47
https://doi.org/10.1140/epjp/i2019-12399-2

Regular Article

Analytical approximations to nonlinear oscillation of nanoelectro-mechanical resonators

¹ Department of Mathematics, Faculty of Science, Sohag University, 82524, Sohag, Egypt
² School of Mathematical and Computational Sciences, University of Prince Edward Island, 550 University Avenue, Charlottetown, PEI, Canada

^* e-mail: gamalm2010@yahoo.com

Received: 4 June 2018
Accepted: 12 November 2018
Published online: 31 January 2019

Abstract

We introduce a new analytical-approximate method based on the global residue harmonic balance method (GRHBM) to study the oscillation of nonlinear nanoelectromechanical resonators. The proposed method is efficiently implemented and evaluated numerically. An illustrative example demonstrates the validity and applicability of the method, further discussed in detail. A highly remarkable agreement found between the approximated solution obtained with the first-order approximation of the present approach and the numerical solutions deduced by other methods that also show the effectiveness of the current approach.