Modeling and numerical analysis for MEMS graphene resonator

He J.-H. Bai Q. Luo Y.-C. Kuangaliyeva D. Ellis G. Yessetov Y. Skrzypacz P.
2025 Frontiers Media SA

Frontiers in Physics
2025 #13

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 experiences 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. Copyright

dynamic pull-in , graphene resonator , MEMS , periodic solutions , singular MEMS oscillators

Text of the article Перейти на текст статьи

School of Information Engineering, Yango University, Fujian, Fuzhou, China
School of Jia Yang, Zhejiang Shuren University, Zhejiang, Hangzhou, China
School of Mathematics and Big Data, Hohhot Minzu College, Inner Mongolia, Hohhot, China
School of Sciences and Humanities, Mathematics Department, Nazarbayev University, Astana, Kazakhstan

School of Information Engineering
School of Jia Yang
School of Mathematics and Big Data
School of Sciences and Humanities

10 лет помогаем публиковать статьи Международный издатель

Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026