MODELING AND NUMERICAL ANALYSIS OF GRAPHENE MICROBEAM RESONATOR
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Date
2023-07
Authors
Yessetov, Yerkebulan
Journal Title
Journal ISSN
Volume Title
Publisher
School of Sciences and Humanities
Abstract
Microelectromechanical systems (MEMS) have emerged as a revolutionary technology,
enabling the development of miniaturized devices with diverse functionalities and
superior performance. Among the essential components of MEMS, microresonators
hold significant importance as they find applications in various fields, including mass
and force sensing, molecular detection, and nanoscale imaging. The quest to improve
the sensitivity and performance of microresonators has led researchers to explore novel
materials and innovative designs.
This thesis 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 was performed. The constitutive nonlinear equation of the
system was derived using the Energy method and Hamilton’s principle. An analytical
solution to the nonlinear static problem was obtained.
A lumped mass model was developed to study the essential dynamics of the
graphene cantilever beam. The generalized stiffness coefficient for the beam under
load at its tip was calculated, enabling a comprehensive analysis of its dynamic behavior.
A key focus was on investigating the dynamic pull-in conditions of the system
under both constant and harmonic excitation. Analytical predictions were validated
through numerical simulations. We observed that the system exhibited periodic solutions
when the excitation parameters 𝛼 and 𝜆 were below a certain separatix curve,
leading to sustained oscillations. On the other hand, if these parameters exceeded the
separatix curve, the system experienced pull-in instability, causing the beam to collapse.
Furthermore, we explored the impact of excitation frequency on the dynamic
response of the graphene cantilever beam under harmonic load. The simulations revealed
that choosing the excitation frequency near the beam’s resonant frequency
could lead to structural collapse under certain parameter conditions.
Description
Keywords
Type of access: Open Access, Graphene Microbeam Resonator
Citation
Yessetov, Y. (2023). Modeling and Numerical Analysis of Graphene Microbeam Resonator. School of Sciences and Humanities