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Nonlinear Dynamic Analysis of an Electrically Actuated Piezoelectric Laminated Microbeam With the Effect of AC

[+] Author Affiliations
Changping Chen

Xiamen University of Technology, Xiamen, Fujian, China

Yejie Jiang

Hunan University, Changsha, Hunan, China

Liming Dai

University of Regina, Regina, SK, Canada

Paper No. IMECE2010-37029, pp. 835-842; 8 pages
doi:10.1115/IMECE2010-37029
From:
  • ASME 2010 International Mechanical Engineering Congress and Exposition
  • Volume 8: Dynamic Systems and Control, Parts A and B
  • Vancouver, British Columbia, Canada, November 12–18, 2010
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-4445-8
  • Copyright © 2010 by ASME

abstract

The paper presents not a nonlinear static research but dynamic anlysis for an electrically actuated piezoelectric laminated micro-beam. On the basis of the Euler-Bernoulli hypothesis, and the responses under electric force [a purely direct current and a combined current composed of a direct current and an alternating current] are investigated, respectively. By using the Taylor series expansion, a set of governing equations of nonlinear integro-differential type is derived. Then using the Galerkin method and the fourth-order Runge-Kutta method, an analytical is presented. Numerical examples show, when a purely DC is applied, there exist an instantaneous pull-in voltage, under the combined current, not only the direct current voltage and the amplitude of the alternating current voltage can make the piezoelastic laminated microbeam collapse, but also the different voltage parameter of it can affect the pull-in phenomenon.

Copyright © 2010 by ASME

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