95% of researchers rate our articles as excellent or good
Learn more about the work of our research integrity team to safeguard the quality of each article we publish.
Find out more
ORIGINAL RESEARCH article
Front. Phys.
Sec. Interdisciplinary Physics
Volume 13 - 2025 | doi: 10.3389/fphy.2025.1551969
This article is part of the Research Topic Nonlinear Vibration and Instability in Nano/Micro Devices: Principles and Control Strategies View all 16 articles
Modeling and Numerical Analysis for MEMS Graphene Resonator
Provisionally accepted
Ji-Huan He 1
Qingmei Bai 2
Ye-Cheng Luo 3
Dilyara Kuangaliyeva 4 Grant Ellis 4 Yerkebulan Yessetov 4
Piotr Skrzypacz 4*- 1 School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, China
- 2 School of Mathematics and Big Data, Hohhot Minzu College, Hohhot, Inner Mongolia Autonomous Region, China
- 3 School of Jia Yang, Zhejiang Shuren University, Hangzhou, Jiangsu Province, China
- 4 Nazarbayev University, Nur-Sultan, Akmola, Kazakhstan
This paper delves into the static and dynamic behavior of graphene cantilever beam resonators under electrostatic actuation at their free tips. A rigorous analysis of the system's response is performed. The constitutive nonlinear equation of the system is derived using the energy method and Hamilton's principle. An analytical solution to the nonlinear static problem is obtained. The generalized stiffness coefficient for the lumped model of the cantilever graphene beam under load at its tip is calculated, enabling a comprehensive analysis of its dynamic behavior. A key focus is on investigating the dynamic pull-in conditions of the system under both constant and harmonic excitation. Analytical predictions are validated through numerical simulations. The system exhibits periodic solutions when the excitation parameters are below a certain threshold described by a separatrix curve, leading to sustained oscillations. On the other hand, if the excitation parameters exceed this threshold, the system experienced pull-in instability, causing the beam to touch down. Furthermore, we explore the impact of excitation frequency on the dynamic response of the graphene cantilever beam under harmonic load. The simulations reveal that choosing the excitation frequency near the beam's resonance frequency can lead to structural collapse under certain parameter conditions.
Keywords: MEMS, Graphene resonator, Dynamic pull-in, periodic solutions, singular MEMS oscillators
Received: 26 Dec 2024; Accepted: 06 Mar 2025.
Copyright: © 2025 He, Bai, Luo, Kuangaliyeva, Ellis, Yessetov and Skrzypacz. 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 Skrzypacz, Nazarbayev University, Nur-Sultan, 010000, Akmola, Kazakhstan
Disclaimer: All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article or claim that may be made by its manufacturer is not guaranteed or endorsed by the publisher.