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Approximate periodic solutions to MEMS oscillator subject to magnetostatic excitation
  • +1
  • Ji-huan He,
  • Piotr Sebastian Skrzypacz,
  • Yanni Zhang,
  • Jing Pang
Ji-huan He
Soochow University
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Piotr Sebastian Skrzypacz
Nazarbayev University
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Yanni Zhang
Inner Mongolia University of Technology
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Jing Pang
Inner Mongolia University of Technology
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Peer review status:UNDER REVIEW

01 Jul 2020Submitted to Mathematical Methods in the Applied Sciences
04 Jul 2020Assigned to Editor
04 Jul 2020Submission Checks Completed
04 Jul 2020Reviewer(s) Assigned

Abstract

A way to obtain approximate periodic solutions to nonlinear oscillators arising in a micro-electro-mechanical system (MEMS) is presented for the case of zero initial conditions and magnetostatic excitation. The frequency-amplitude relationship is derived by adopting He’s frequency formulation. The obtained analytical results are illustrated graphically. The proposed simple approach gives the fast insight into the dynamics of the singular oscillator and can be useful for design of MEMS devices.