0

Full Content is available to subscribers

Subscribe/Learn More  >

Precise Prediction on Pull-In Instability of a Deformable Micro-Plate Actuated by Distributed Electrostatic Force and Approximate Closed-Form Solutions

[+] Author Affiliations
Paul C.-P. Chao, Chi-Wei Chiu

Chung-Yuan Christian University

Paper No. IMECE2005-82241, pp. 301-306; 6 pages
doi:10.1115/IMECE2005-82241
From:
  • ASME 2005 International Mechanical Engineering Congress and Exposition
  • Microelectromechanical Systems
  • Orlando, Florida, USA, November 5 – 11, 2005
  • Conference Sponsors: Microelectromechanical Systems Division
  • ISBN: 0-7918-4224-X | eISBN: 0-7918-3769-6
  • Copyright © 2005 by ASME

abstract

This study is dedicated to perform nonlinear asymptotic analysis based on the continuous thin plate model of MEMS capacitive sensor/actuator in order to predict the pull-in voltages/positions more precisely than past works. In these past studies, only discrete models without residual stress were considered. A sensor/actuator is considered in structure of two parallel electrostatically-charged flexible square plates — one thin plate in persistent vibrations to reflect external pressure and another thick plate in relative still as the backplate. The dynamic model in the form of the partial differential equation for the parallel plates is first established based on the balance among plate flexibility, residual stress and electrostatic forces. Assuming harmonic deflection for the vibrating plate clamped on boundaries, Galerkin method is used to decompose the established system p.d.e. into discrete modal equations. Solving the discrete modal equations, plate deflection can be obtained. The pull-in position is next solved from the condition that as the pull-in occurs the electrostatic attraction force on the deflected plate exceeds the elastic restoring force by the deflected plate. It is found from analysis results for some case study that the pull-in position is 1.66 μm with air gap of 3.75 μm. This predicted pull-in position is smaller than the predict position from past works, two-thirds of the gap. In addition to theoretical analysis, experiments are also conducted to verify the correctness of the established model.

Copyright © 2005 by ASME
Topics: Force , Microplates

Figures

Tables

Interactive Graphics

Video

Country-Specific Mortality and Growth Failure in Infancy and Yound Children and Association With Material Stature

Use interactive graphics and maps to view and sort country-specific infant and early dhildhood mortality and growth failure data and their association with maternal

NOTE:
Citing articles are presented as examples only. In non-demo SCM6 implementation, integration with CrossRef’s "Cited By" API will populate this tab (http://www.crossref.org/citedby.html).

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In