4.6 Article

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

Journal

FACTA UNIVERSITATIS-SERIES MECHANICAL ENGINEERING
Volume 19, Issue 4, Pages 601-612

Publisher

UNIV NIS
DOI: 10.22190/FUME210112025A

Keywords

Microelectromechanical systems; Enhanced perturbation method; Parameter expansion method; Nonlinear oscillator; Amplitude-frequency relationship

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This paper highlights Li-He's approach of combining the enhanced perturbation method with parameter expansion technology to obtain frequency amplitude formulation of electrically actuated microbeams-based MEMS. The results demonstrate the effectiveness of this variation in HPM compared to the numerical solution achieved by the RK method.
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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