Analysis of nonlinear dynamic behavior and pull-in prediction of micro circular plate actuator

Chin-Chia Liu, Chien Hung Liu

Research output: Contribution to journalArticle

Abstract

The dynamic behavior of micro circular plate electrostatic devices is not easily analyzed using traditional methods such as perturbation theory or Galerkin approach method due to the complexity of the interactions among the electrostatic coupling effect, the residual stress and the nonlinear electrostatic force. Accordingly, the present study proposes a approach for analyzing the dynamic response of such devices using a hybrid numerical scheme comprising the differential transformation method and the finite difference method. The feasibility of the proposed approach is demonstrated by modeling the dynamic response of a micro circular plate actuated by a DC voltage. The numerical results for the pull-in voltage are found to deviate by no more than 0.27 % from those derived in the literature using various computational methods. Thus, the basic validity of the hybrid numerical scheme is confirmed. Moreover, the effectiveness of a combined DC/AC loading scheme in driving the micro circular actuator is examined. It is shown that the use of an AC actuating voltage in addition to the DC driving voltage provides an effective means of tuning the dynamic response of the micro circular plate.

Original languageEnglish
Pages (from-to)2062-2069
Number of pages8
JournalJournal of Vibroengineering
Volume16
Issue number4
Publication statusPublished - 2014 Jan 1

Fingerprint

Actuators
Dynamic response
Electric potential
Electrostatic devices
Electrostatic force
Computational methods
Finite difference method
Electrostatics
Residual stresses
Tuning

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Mechanical Engineering

Cite this

@article{b2c9fbee5ecd4a11b8b2c9378fd7096b,
title = "Analysis of nonlinear dynamic behavior and pull-in prediction of micro circular plate actuator",
abstract = "The dynamic behavior of micro circular plate electrostatic devices is not easily analyzed using traditional methods such as perturbation theory or Galerkin approach method due to the complexity of the interactions among the electrostatic coupling effect, the residual stress and the nonlinear electrostatic force. Accordingly, the present study proposes a approach for analyzing the dynamic response of such devices using a hybrid numerical scheme comprising the differential transformation method and the finite difference method. The feasibility of the proposed approach is demonstrated by modeling the dynamic response of a micro circular plate actuated by a DC voltage. The numerical results for the pull-in voltage are found to deviate by no more than 0.27 {\%} from those derived in the literature using various computational methods. Thus, the basic validity of the hybrid numerical scheme is confirmed. Moreover, the effectiveness of a combined DC/AC loading scheme in driving the micro circular actuator is examined. It is shown that the use of an AC actuating voltage in addition to the DC driving voltage provides an effective means of tuning the dynamic response of the micro circular plate.",
author = "Chin-Chia Liu and Liu, {Chien Hung}",
year = "2014",
month = "1",
day = "1",
language = "English",
volume = "16",
pages = "2062--2069",
journal = "Journal of Vibroengineering",
issn = "1392-8716",
publisher = "Vibromechanika",
number = "4",

}

Analysis of nonlinear dynamic behavior and pull-in prediction of micro circular plate actuator. / Liu, Chin-Chia; Liu, Chien Hung.

In: Journal of Vibroengineering, Vol. 16, No. 4, 01.01.2014, p. 2062-2069.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Analysis of nonlinear dynamic behavior and pull-in prediction of micro circular plate actuator

AU - Liu, Chin-Chia

AU - Liu, Chien Hung

PY - 2014/1/1

Y1 - 2014/1/1

N2 - The dynamic behavior of micro circular plate electrostatic devices is not easily analyzed using traditional methods such as perturbation theory or Galerkin approach method due to the complexity of the interactions among the electrostatic coupling effect, the residual stress and the nonlinear electrostatic force. Accordingly, the present study proposes a approach for analyzing the dynamic response of such devices using a hybrid numerical scheme comprising the differential transformation method and the finite difference method. The feasibility of the proposed approach is demonstrated by modeling the dynamic response of a micro circular plate actuated by a DC voltage. The numerical results for the pull-in voltage are found to deviate by no more than 0.27 % from those derived in the literature using various computational methods. Thus, the basic validity of the hybrid numerical scheme is confirmed. Moreover, the effectiveness of a combined DC/AC loading scheme in driving the micro circular actuator is examined. It is shown that the use of an AC actuating voltage in addition to the DC driving voltage provides an effective means of tuning the dynamic response of the micro circular plate.

AB - The dynamic behavior of micro circular plate electrostatic devices is not easily analyzed using traditional methods such as perturbation theory or Galerkin approach method due to the complexity of the interactions among the electrostatic coupling effect, the residual stress and the nonlinear electrostatic force. Accordingly, the present study proposes a approach for analyzing the dynamic response of such devices using a hybrid numerical scheme comprising the differential transformation method and the finite difference method. The feasibility of the proposed approach is demonstrated by modeling the dynamic response of a micro circular plate actuated by a DC voltage. The numerical results for the pull-in voltage are found to deviate by no more than 0.27 % from those derived in the literature using various computational methods. Thus, the basic validity of the hybrid numerical scheme is confirmed. Moreover, the effectiveness of a combined DC/AC loading scheme in driving the micro circular actuator is examined. It is shown that the use of an AC actuating voltage in addition to the DC driving voltage provides an effective means of tuning the dynamic response of the micro circular plate.

UR - http://www.scopus.com/inward/record.url?scp=84903711585&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84903711585&partnerID=8YFLogxK

M3 - Article

VL - 16

SP - 2062

EP - 2069

JO - Journal of Vibroengineering

JF - Journal of Vibroengineering

SN - 1392-8716

IS - 4

ER -