Physics

Nonlinear system

Singular perturbation

Perturbation (astronomy)

Pure mathematics

Mathematics

Microelectromechanical systems

Homotopy perturbation method

Optics

Mathematical analysis

Homotopy analysis method

Poincaré–Lindstedt method

Amplitude

Quantum mechanics

Differential equation

Ordinary differential equation

Homotopy

Facta Universitatis Series Mechanical Engineering

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).

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