Open AccessAnalysis of nonlinear oscillator arising in the microelectromechanical system by using the parameter expansion and equivalent linearization methods
Author(s) -
Dang Van Hieu,
N. T. K. Thoa,
L. Q. Duy
Publication year - 2018
Publication title -
international journal of engineering and technology
Language(s) - English
Resource type - Journals
ISSN - 2227-524X
DOI - 10.14419/ijet.v7i2.9191
Subject(s) - microbeam , linearization , galerkin method , nonlinear system , differential equation , mathematical analysis , mathematics , ordinary differential equation , exact differential equation , physics , optics , quantum mechanics
In this paper, the nonlinear oscillator arising in the microbeam-based micro-electromechanical system (MEMS) is described. The motion equation of a microbeam is simplified into an ordinary differential equation by using the Galerkin method. The nonlinear ordinary differential equation is solved by using two methods including the Parameter-Expansion and Equivalent Linearization Methods. To verify the accuracy of the present methods, illustrative examples are provided and compared with other analytical, exact and numerical solutions.