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LVIM for nonlinear oscillators in Microelectromechanical system
  • Yanni Zhang,
  • Jing Pang
Yanni Zhang
Inner Mongolia University of Technology
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Jing Pang
Inner Mongolia University of Technology
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Abstract

A nonlinear oscillator arising in a micro-electro-mechanical system (MEMS) is difficult to be solved analytically due to the zero conditions. so the main objective of this work is to analyze the mathematical model of this system, and its approximate analytical solution is solved via the coupling Variational Iteration method and Laplace transform(LVIM). This method provides an efficient way to obtain the approximate nonlinear frequency and approximate solutions of MEMS. Moreover, LVIM also approximates the pull-in threshold in terms of model parameters. Finally, the results are compared with the exact one and a good result is obtained.

Peer review status:ACCEPTED

22 Jul 2020Submitted to Mathematical Methods in the Applied Sciences
26 Jul 2020Submission Checks Completed
26 Jul 2020Assigned to Editor
27 Jul 2020Reviewer(s) Assigned
31 Jul 2020Review(s) Completed, Editorial Evaluation Pending
31 Jul 2020Editorial Decision: Revise Major
04 Aug 20201st Revision Received
04 Aug 2020Submission Checks Completed
04 Aug 2020Assigned to Editor
04 Aug 2020Reviewer(s) Assigned
11 Aug 2020Review(s) Completed, Editorial Evaluation Pending
13 Aug 2020Editorial Decision: Revise Minor
22 Aug 20202nd Revision Received
22 Aug 2020Submission Checks Completed
22 Aug 2020Assigned to Editor
22 Aug 2020Editorial Decision: Accept