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

M. X. Lin, S. Y. Lee, C. K. Chen

Research output: Contribution to journalArticle

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.

Original languageEnglish
JournalJournal of Mechanics
DOIs
Publication statusAccepted/In press - 2019 Jan 1

Fingerprint

Nonlocal Effects
Graphene
Actuator
graphene
Actuators
actuators
Residual Stress
Finite difference method
Difference Method
Residual stresses
Finite Difference
Damping
viscous damping
Van Der Waals Force
Electrostatic Force
Scale Effect
Van der Waals forces
Euler-Bernoulli Beam
Electrostatic force
residual stress

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanical Engineering
  • Applied Mathematics

Cite this

@article{76c067b64a6a41689b6581b84ed9785a,
title = "Nonlocal Effect on the Pull-in Instability Analysis of Graphene Sheet Nanobeam Actuator",
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 K{\'a}rm{\'a}n 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.",
author = "Lin, {M. X.} and Lee, {S. Y.} and Chen, {C. K.}",
year = "2019",
month = "1",
day = "1",
doi = "10.1017/jmech.2018.41",
language = "English",
journal = "Journal of Mechanics",
issn = "1727-7191",
publisher = "Cambridge University Press",

}

Nonlocal Effect on the Pull-in Instability Analysis of Graphene Sheet Nanobeam Actuator. / Lin, M. X.; Lee, S. Y.; Chen, C. K.

In: Journal of Mechanics, 01.01.2019.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Nonlocal Effect on the Pull-in Instability Analysis of Graphene Sheet Nanobeam Actuator

AU - Lin, M. X.

AU - Lee, S. Y.

AU - Chen, C. K.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85071053633&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85071053633&partnerID=8YFLogxK

U2 - 10.1017/jmech.2018.41

DO - 10.1017/jmech.2018.41

M3 - Article

AN - SCOPUS:85071053633

JO - Journal of Mechanics

JF - Journal of Mechanics

SN - 1727-7191

ER -