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Homotopy perturbation method for N/MEMS oscillator
  • Naveed Anjum,
  • Ji-huan He
Naveed Anjum
Soochow University
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Ji-huan He
Soochow University
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The nano/microelectromechanical systems (N/MEMS) have been caught much attention in the past few decades for their attractive properties such as small size, high reliability, batch fabrication, and low power consumption. The dynamic oscillatory behavior of these systems is very complex due to strong nonlinearities in these systems. The basic aim of this manuscript is to investigate the nonlinear vibration property of N/MEMS oscillators by the homotopy perturbation method coupled with Laplace transform (also called as He-Laplace method in literature). A generalized N/MEMS oscillator is systematically studied, and a fairly accurate analytic solution is obtained. Three special cases for electrically actuated MEMS, multi-walled Carbon nanotubes-based MEMS, and MEMS subjected to van der Waals attraction are considered for comparison, and a good agreement with exact solutions is observed.

Peer review status:Published

12 May 2020Submitted to Mathematical Methods in the Applied Sciences
16 May 2020Submission Checks Completed
16 May 2020Assigned to Editor
17 May 2020Reviewer(s) Assigned
19 May 2020Review(s) Completed, Editorial Evaluation Pending
20 May 2020Editorial Decision: Revise Minor
22 May 20201st Revision Received
22 May 2020Submission Checks Completed
22 May 2020Assigned to Editor
22 May 2020Editorial Decision: Accept
Published in Mathematical Methods in the Applied Sciences. 24 Jun 2020. 10.1002/mma.6583