LI-HE’S MODIFIED HOMOTOPY PERTURBATION METHOD FOR DOUBLY-CLAMPED ELECTRICALLY ACTUATED MICROBEAMS-BASED MICROELECTROMECHANICAL SYSTEM
Naveed Anjum, Ji‐Huan He, Qura Tul Ain, Dan Tian
Abstract
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).
Topics & Concepts
Homotopy perturbation methodHomotopy analysis methodMicroelectromechanical systemsPerturbation (astronomy)Ordinary differential equationNonlinear systemPoincaré–Lindstedt methodHomotopyAmplitudeMathematical analysisMathematicsDifferential equationPhysicsSingular perturbationOpticsQuantum mechanicsPure mathematicsMechanical and Optical ResonatorsAdvanced MEMS and NEMS TechnologiesAdvanced Fiber Optic Sensors