Open AccessLI-HE’S MODIFIED HOMOTOPY PERTURBATION METHOD FOR DOUBLY-CLAMPED ELECTRICALLY ACTUATED MICROBEAMS-BASED MICROELECTROMECHANICAL SYSTEM
Author(s) -
Naveed Anjum,
JiHuan He,
Qura Tul Ain,
Dan Tian
Publication year - 2021
Publication title -
facta universitatis. series: mechanical engineering
Language(s) - English
Resource type - Journals
eISSN - 2335-0164
pISSN - 0354-2025
DOI - 10.22190/fume210112025a
Subject(s) - homotopy perturbation method , homotopy analysis method , microelectromechanical systems , perturbation (astronomy) , ordinary differential equation , nonlinear system , poincaré–lindstedt method , homotopy , amplitude , mathematical analysis , mathematics , differential equation , physics , singular perturbation , optics , quantum mechanics , pure mathematics
This paper highlights Li-He’s approach in which the enhanced perturbation method is linked with the parameter expansion technology in order to obtain frequency amplitude formulation of electrically actuated microbeams-based microelectromechanical system (MEMS). The governing equation is a second-order nonlinear ordinary differential equation. The obtained results are compared with the solution achieved numerically by the Runge-Kutta (RK) method that shows the effectiveness of this variation in the homotopy perturbation method (HPM).