Dynamic characteristic analysis of an electrostatically-actuated circular nanoplate subject to surface effects

Ming Xian Lin, Sen-Yung Lee, Cha'o Kuang Chen

研究成果: Article

3 引文 (Scopus)

摘要

This study investigates the influence of surface effect on the nonlinear behavior of an electrostatically actuated circular nanoplate. The Casimir force, surface effects, and the electrostatic force are modelled. In performing the analysis, the nonlinear governing equation of a circular nanoplate is solved using a hybrid computational scheme combining a differential transformation and finite differences. The method is used to model systems found in previous literature using different methods, producing consistent results, thus verifying that it is suitable for treatment of the nonlinear electrostatic coupling phenomenon. The obtained results from numerical methods demonstrated that the relationship between the thickness, radius, and gap size of a circular nanoplate, and its pull-in voltage, is scale-dependent. The model exhibits size-dependent behavior, showing that surface effects significantly influence the dynamic response of circular nanoplate actuators. Moreover, the influence of surface stress on the pull-in voltage of circular nanoplate is found to be more significant than the influence of surface elastic modulus. Finally, the effects of actuation voltage, excitation frequency, and surface effects on the dynamic behavior of the nanoplate are examined through use of phase portraits. Overall, the results show that the using hybrid method here presented is a suitable technique for analyzing nonlinear behavior characteristic of circular nanoplates.

原文English
頁(從 - 到)18-31
頁數14
期刊Applied Mathematical Modelling
63
DOIs
出版狀態Published - 2018 十一月 1

指紋

Surface Effects
Dynamic Characteristics
Voltage
Casimir Force
Electrostatic Force
Dependent
Phase Portrait
Elastic Modulus
Electric potential
Hybrid Method
Dynamic Response
Electrostatics
Dynamic Behavior
Actuator
Governing equation
Finite Difference
Nonlinear Equations
Electrostatic force
Excitation
Numerical Methods

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Applied Mathematics

引用此文

@article{17fa843252a4413788e1dbd484f0a56f,
title = "Dynamic characteristic analysis of an electrostatically-actuated circular nanoplate subject to surface effects",
abstract = "This study investigates the influence of surface effect on the nonlinear behavior of an electrostatically actuated circular nanoplate. The Casimir force, surface effects, and the electrostatic force are modelled. In performing the analysis, the nonlinear governing equation of a circular nanoplate is solved using a hybrid computational scheme combining a differential transformation and finite differences. The method is used to model systems found in previous literature using different methods, producing consistent results, thus verifying that it is suitable for treatment of the nonlinear electrostatic coupling phenomenon. The obtained results from numerical methods demonstrated that the relationship between the thickness, radius, and gap size of a circular nanoplate, and its pull-in voltage, is scale-dependent. The model exhibits size-dependent behavior, showing that surface effects significantly influence the dynamic response of circular nanoplate actuators. Moreover, the influence of surface stress on the pull-in voltage of circular nanoplate is found to be more significant than the influence of surface elastic modulus. Finally, the effects of actuation voltage, excitation frequency, and surface effects on the dynamic behavior of the nanoplate are examined through use of phase portraits. Overall, the results show that the using hybrid method here presented is a suitable technique for analyzing nonlinear behavior characteristic of circular nanoplates.",
author = "Lin, {Ming Xian} and Sen-Yung Lee and Chen, {Cha'o Kuang}",
year = "2018",
month = "11",
day = "1",
doi = "10.1016/j.apm.2018.06.004",
language = "English",
volume = "63",
pages = "18--31",
journal = "Applied Mathematical Modelling",
issn = "0307-904X",
publisher = "Elsevier Inc.",

}

TY - JOUR

T1 - Dynamic characteristic analysis of an electrostatically-actuated circular nanoplate subject to surface effects

AU - Lin, Ming Xian

AU - Lee, Sen-Yung

AU - Chen, Cha'o Kuang

PY - 2018/11/1

Y1 - 2018/11/1

N2 - This study investigates the influence of surface effect on the nonlinear behavior of an electrostatically actuated circular nanoplate. The Casimir force, surface effects, and the electrostatic force are modelled. In performing the analysis, the nonlinear governing equation of a circular nanoplate is solved using a hybrid computational scheme combining a differential transformation and finite differences. The method is used to model systems found in previous literature using different methods, producing consistent results, thus verifying that it is suitable for treatment of the nonlinear electrostatic coupling phenomenon. The obtained results from numerical methods demonstrated that the relationship between the thickness, radius, and gap size of a circular nanoplate, and its pull-in voltage, is scale-dependent. The model exhibits size-dependent behavior, showing that surface effects significantly influence the dynamic response of circular nanoplate actuators. Moreover, the influence of surface stress on the pull-in voltage of circular nanoplate is found to be more significant than the influence of surface elastic modulus. Finally, the effects of actuation voltage, excitation frequency, and surface effects on the dynamic behavior of the nanoplate are examined through use of phase portraits. Overall, the results show that the using hybrid method here presented is a suitable technique for analyzing nonlinear behavior characteristic of circular nanoplates.

AB - This study investigates the influence of surface effect on the nonlinear behavior of an electrostatically actuated circular nanoplate. The Casimir force, surface effects, and the electrostatic force are modelled. In performing the analysis, the nonlinear governing equation of a circular nanoplate is solved using a hybrid computational scheme combining a differential transformation and finite differences. The method is used to model systems found in previous literature using different methods, producing consistent results, thus verifying that it is suitable for treatment of the nonlinear electrostatic coupling phenomenon. The obtained results from numerical methods demonstrated that the relationship between the thickness, radius, and gap size of a circular nanoplate, and its pull-in voltage, is scale-dependent. The model exhibits size-dependent behavior, showing that surface effects significantly influence the dynamic response of circular nanoplate actuators. Moreover, the influence of surface stress on the pull-in voltage of circular nanoplate is found to be more significant than the influence of surface elastic modulus. Finally, the effects of actuation voltage, excitation frequency, and surface effects on the dynamic behavior of the nanoplate are examined through use of phase portraits. Overall, the results show that the using hybrid method here presented is a suitable technique for analyzing nonlinear behavior characteristic of circular nanoplates.

UR - http://www.scopus.com/inward/record.url?scp=85049454171&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85049454171&partnerID=8YFLogxK

U2 - 10.1016/j.apm.2018.06.004

DO - 10.1016/j.apm.2018.06.004

M3 - Article

AN - SCOPUS:85049454171

VL - 63

SP - 18

EP - 31

JO - Applied Mathematical Modelling

JF - Applied Mathematical Modelling

SN - 0307-904X

ER -