Sensors & Transducers Magazine (S&T e-Digest), Vol.66, Issue 4, April 2006, pp.526-533
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ISSN 1726-5479
© 2006 by IFSA
http://www.sensorsportal.com
Pull-In Voltage of Fixed-Fixed End Type MEMS Switches
with Variative Electrostatic Area
Hamed Sadeghian, Ghader Rezazadeh, Ehsan Malekpour, Ayla Shafipour
Mechanical Engineering Department, Urmia University, Urmia, IRAN
Tel. +98-914-145-1407, fax. +98-441-277-7022
E-mail: Hamed.sadeghian@gmail.com g.rezazadeh@mail.urmia.ac.ir
Received: 28 January 2006 Accepted: 21 April 2006 Published: 25 April 2006
Abstract: In this paper we developed a new approach to calculation of pull-in voltage of fixed-
fixed end type MEMS switches. In the previous works Pull-in voltage has been calculated on a
lumped model, when one of them used a distributed model by assuming the electrostatic area is
applied the whole of the surface of the beam. In the present work, we used a distributed model to
determinate the pull-in voltage. To do this the nonlinear governing equation of the beam with non-
uniform electrostatic pressure that applied in the part of beam has been derived. The derived
nonlinear equation has been solved numerically and has been showed that the results of our
approach are more accurate than the other previous works.
Keywords: MEMS, distributed model, electrostatic pressure
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1. Introduction
The advent of monolithic integration of micromechanical structure with electronics requires the
development of simulation and analysis tools that can allow coupled circuit and micromechanical
simulation [1]-[8]. Pull-in phenomenon is a discontinuity related to the interplay of the elastic and
electrostatic pressures. The determination of the pull-in voltage and position requires the solution of
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