LI-HE’S MODIFIED HOMOTOPY PERTURBATION METHOD FOR DOUBLY-CLAMPED ELECTRICALLY ACTUATED MICROBEAMS-BASED MICROELECTROMECHANICAL SYSTEM | Zendy

Naveed Anjum | Zendy; JiHuan He | Zendy; Qura Tul Ain | Zendy; Dan Tian | Zendy

Open Access

LI-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).

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