Analysis of nonlinear oscillator arising in the microelectromechanical system by using the parameter expansion and equivalent linearization methods

  • Authors

    • D. V. Hieu Department of Mechanics, Thai Nguyen University of Technology
    • N. T. K. Thoa
    • L. Q. Duy
    https://doi.org/10.14419/ijet.v7i2.9191

    Received date: January 16, 2018

    Accepted date: April 6, 2018

    Published date: April 21, 2018

  • Parameter Expansion Method, Equivalent Linearization Method, Nonlinear Oscillator, MEMS.

  • Abstract

    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 differen-tial equation is solved by using two methods including the Parameter-Expansion and Equivalent Linearization Methods. To verify the accu-racy of the present methods, illustrative examples are provided and compared with other analytical, exact and numerical solutions.

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  • How to Cite

    Hieu, D. V., Thoa, N. T. K., & Duy, L. Q. (2018). Analysis of nonlinear oscillator arising in the microelectromechanical system by using the parameter expansion and equivalent linearization methods. International Journal of Engineering and Technology, 7(2), 597-604. https://doi.org/10.14419/ijet.v7i2.9191