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Nonlocal Effect on the Pull-in Instability Analysis of Graphene Sheet Nanobeam Actuator

Published online by Cambridge University Press:  08 August 2019

M. X. Lin ,
S. Y. Lee  and
C. K. Chen
M. X. Lin
Affiliation:
Department of Mechanical EngineeringNational Cheng-Kung University Tainan, Taiwan
S. Y. Lee
Affiliation:
Department of Mechanical EngineeringNational Cheng-Kung University Tainan, Taiwan
C. K. Chen*
Affiliation:
Department of Mechanical EngineeringNational Cheng-Kung University Tainan, Taiwan
*
* Corresponding author ([email protected])
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Abstract

In this study, the pull-in phenomenon of a Nano-actuator is investigated employing a nonlocal Bernoulli-Euler beam model with clamped-clamped conditions. The model accounts for viscous damping, residual stresses, the van der Waals (vdW) force and electrostatic forces with nonlocal effects. The hybrid differential transformation/finite difference method (HDTFDM) is used to analyze the nonlocal effects on a graphene sheet nanobeam, which is electrostatically actuated under the influence of the coupling effect, the von Kármán nonlinear strains and the fringing field effect. The pull-in voltage as calculated by the presented model deviates by no more than 0.29% from previous literature, verifying the validity of the HDTFDM. Furthermore, the nonlocal nonlinear behavior of the electrostatically actuated nanobeam is investigated, and the effects of viscous damping, residual stresses, and length-gap ratio are examined in detail. Overall, the results reveal that small scale effects significantly influence the characteristics of the graphene sheet nanobeam actuator.

Keywords

Pull-in voltageNonlocal elasticity theoryThe hybrid differential transformation/finite difference methodNanoactuator
Type
Research Article
Information
Journal of Mechanics , Volume 35 , Issue 5 , October 2019 , pp. 767 - 778
Copyright
© The Society of Theoretical and Applied Mechanics 2019 

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