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ORIGINAL RESEARCH article

Front. Phys.

Sec. Interdisciplinary Physics

Volume 13 - 2025 | doi: 10.3389/fphy.2025.1638299

This article is part of the Research TopicNonlinear Vibration and Instability in Nano/Micro Devices: Principles and Control StrategiesView all 19 articles

Optimizing Dynamic Pull-in Threshold and Periodic Trajectories for Magnetically Actuated MEMS (magMEMS) in Wearable Sensors

Provisionally accepted
Lei  ZhaoLei Zhao1Ji-Huan  HeJi-Huan He2,3,4,5Piotr  Sebastian SkrzypaczPiotr Sebastian Skrzypacz6*Dilyara  KuangaliyevaDilyara Kuangaliyeva6Grant  EllisGrant Ellis6Bartosz  PruchnikBartosz Pruchnik7Piotr  PutekPiotr Putek7
  • 1Yancheng Polytechnic College, Yancheng, China
  • 2Saveetha School of Engineering, Chennai, India
  • 3Zhejiang Shuren University, Hangzhou, China
  • 4Hohhot Minzu College, Hohhot, China
  • 5Yango University, Fuzhou, China
  • 6Nazarbayev University School of Sciences and Humanities, Astana, Kazakhstan
  • 7Politechnika Wroclawska, Wrocław, Poland

The final, formatted version of the article will be published soon.

Magnetically actuated Micro-Electro-Mechanical Systems (magMEMS) are pivotal for wearable sensor applications demanding high sensitivity, fast response, and compact integration, such as biomedical monitoring and motion-tracking devices. This paper investigates the dynamic pull-in instability and periodic trajectory analysis of magMEMS models with current-carrying filaments, addressing critical challenges in miniaturized sensor design. A simplified Galerkin approach is employed to analyze a Lorentz-force-driven MEMS oscillator, deriving approximate expressions for the dynamic pull-in threshold-a key criterion for stable periodic operation-and the corresponding oscillation frequency and periodic solutions. Extensive numerical simulations support and validate the analytical results. These findings offer valuable insight to assist in the design and optimization of MEMS devices in wearable sensors.

Keywords: MagMEMS, Galerkin approach, Dynamic pull-in, periodic solutions, singular MEMS oscillators, wearable sensors

Received: 30 May 2025; Accepted: 25 Aug 2025.

Copyright: © 2025 Zhao, He, Skrzypacz, Kuangaliyeva, Ellis, Pruchnik and Putek. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

* Correspondence: Piotr Sebastian Skrzypacz, Nazarbayev University School of Sciences and Humanities, Astana, Kazakhstan

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