2022
DOI: 10.1177/10812865221101120
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The pull-in instability and eigenfrequency variations of a graphene resonator under electrostatic loading

Abstract: A continuum membrane model is presented to describe the pull-in instability and eigenfrequency variations of a graphene resonator under an electrostatic loading. The pull-in instability leads to the device failure and the eigenfrequency variation determines its frequency tuning range, which are among the most important aspects in a micro/nanomechanical resonator design. The von Kármán kinematic assumptions are used for the membrane large deflection. The geometric nonlinearity resulting from a large deflection … Show more

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Cited by 4 publications
(2 citation statements)
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References 46 publications
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“…As shown in figure 4(b), the maximum value of ΔR/R (R is the average value of statistical data and ΔR is the fluctuation difference of statistical data) is located at the resonance frequency, and the overall fluctuation value is less than 2%, which is a good stability for such a small resonator [41]. The maximum noise recorded also existed at the resonant frequency, and the overall fluctuation value was less than 0.15 V which is not large compared to the values reported in other literatures [28].…”
Section: Acmentioning
confidence: 91%
“…As shown in figure 4(b), the maximum value of ΔR/R (R is the average value of statistical data and ΔR is the fluctuation difference of statistical data) is located at the resonance frequency, and the overall fluctuation value is less than 2%, which is a good stability for such a small resonator [41]. The maximum noise recorded also existed at the resonant frequency, and the overall fluctuation value was less than 0.15 V which is not large compared to the values reported in other literatures [28].…”
Section: Acmentioning
confidence: 91%
“…Liu et al [14] present an experimental study of wrinkling in the azimuthal direction of a two-layered cylindrical tube driven by swelling/growth. Zhang and Zhao [15] investigate the pull-in instability and eigenfrequency variations of a graphene resonator under electrostatic loading. Finally, Wang et al [16] investigate axisymmetric necking in a hyperelastic sheet under equibiaxial stretching and how it competes with the Treloar–Kearsley instability.…”
mentioning
confidence: 99%