A dynamic model of a microcantilever actuator is developed to simulate the events of contact, impact, stiction, and pull-off from the substrate. The model accounts for geometric, electrostatic, adhesive, and contact nonlinearities. The model is validated by comparison to experimental data and other analytical model predictions. We find that microcantilever electrostatic microelectromechanical (MEMS) actuators can exhibit bistable and tristable equilibrium configurations. We also find that the transients subsequent to pull-in play an important role in determining whether or not stiction will occur.
Issue Section:
Research Papers
References
1.
Zhao
, Y.
, Wang
, L.
, and Yu
, T.
, 2003, “Mechanics of Adhesion in MEMS—A Review
,” J. Adhes. Sci. Technol.
, 17
(4
), pp. 519
–546
.2.
Guo
, J.
, and Zhao
, Y.
, 2004, “Influence of van der Waals and Casimir Forces on Electrostatic Torsional Actuators
,” J. Microelectromech. Syst.
, 13
(6
), pp. 1027
–1035
.3.
Batra
, R.
, Porfiri
, M.
, and Spinello
, D.
, 2007, “Effects of Casimir Force on Pull-In Instability in Micromembranes
,” Europhys. Lett.
, 77
, p. 20010
.4.
Palasantzas
, G.
, and De Hosson
, J.
, 2005, “Pull-In Characteristics of Electromechanical Switches in the Presence of Casimir Forces: Influence of Self-Affine Surface Roughness
,” Phys. Rev. B
, 72
(11
), p. 115426
.5.
Scherge
, M.
, Li
, X.
, and Schaefer
, J.
, 1999, “The Effect of Water on Friction of MEMS
,” Tribol. Lett.
, 6
(3
), pp. 215
–220
.6.
de Boer
, M.
, Knapp
, J.
, Mayer
, T.
, and Michalske
, T.
, 1999, “Role of Interfacial Properties on MEMS Performance and Reliability
,” Proc. SPIE
, 3825
, pp. 2
–15
.7.
Knapp
, J.
, and de Boer
, M.
, 2002, “Mechanics of Microcantilever Beams Subject to Combined Electrostatic and Adhesive Forces
,” J. Microelectromech. Syst.
, 11
(6
), pp. 754
–764
.8.
Savkar
, A.
, Murphy
, K.
, Leseman
, Z.
, Mackin
, T.
, and Begley
, M.
, 2007, “On the Use of Structural Vibrations to Release Stiction Failed MEMS
,” J. Microelectromech. Syst.
, 16
(1
), pp. 163
–173
.9.
Jones
, E.
, Begley
, M.
, and Murphy
, K.
, 2003, “Adhesion of Micro-Cantilevers Subjected to Mechanical Point Loading: Modeling and Experiments
,” J. Mech. Phys. Solids
, 51
(8
), pp. 1601
–1622
.10.
Lin
, W.
, and Zhao
, Y.
, 2008, “Pull-In Instability of Micro-Switch Actuators: Model Review
,” Int. J. Nonlinear Sci. Numer. Simul.
, 9
(2
), pp. 175
–183
.11.
McCarthy
, B.
, Adams
, G.
, McGruer
, N.
, and Potter
, D.
, 2002, “A Dynamic Model, Including Contact Bounce, of an Electrostatically Actuated Microswitch
,” J. Microelectromech. Syst.
, 11
(3
), pp. 276
–283
.12.
Granaldi
, A.
, and Decuzzi
, P.
, 2006, “The Dynamic Response of Resistive Microswitches: Switching Time and Bouncing
,” J. Micromech. Microeng.
, 16
, pp. 1108
–1115
.13.
Decuzzi
, P.
, Demelio
, G.
, Pascazio
, G.
, and Zaza
, V.
, 2006, “Bouncing Dynamics of Resistive Microswitches With an Adhesive Tip
,” J. Appl. Phys.
, 100
, p. 024313
.14.
Chen
, K.
, and Ou
, K.
, 2007, “Command-Shaping Techniques for Electrostatic MEMS Actuation: Analysis and Simulation
,” J. Microelectromech. Syst.
, 16
(3
), pp. 537
–549
.15.
DelRio
, F.
, de Boer
, M.
, Knapp
, J.
, Reedy
, E.
, Clews
, P.
, and Dunn
, M.
, 2005, “The Role of van der Waals Forces in Adhesion of Micromachined Surfaces
,” Nature Mater.
, 4
(8
), pp. 629
–634
.16.
De Boer
, M.
, and Michalske
, T.
, 1999, “Accurate Method for Determining Adhesion of Cantilever Beams
,” J. Appl. Phys.
, 86
, pp. 817
–827
.17.
Sylves
, K.
, Maute
, K.
, and Dunn
, M.
, 2009, “Adhesive Surface Design Using Topology Optimization
,” Struct. Multidiscip. Optim.
, 38
(5
), pp. 455
–468
.18.
Gorthi
, S.
, Mohanty
, A.
, and Chatterjee
, A.
, 2006, “Cantilever Beam Electrostatic Mems Actuators Beyond Pull-In
,” J. Micromech. Microeng.
, 16
, pp. 1800
–1810
.19.
Hertzberg
, R.
, 2010, Deformation and Fracture Mechanics of Engineering Materials
, John Wiley & Sons
, New York
.20.
Israelachvili
, J.
, 1992, Intermolecular and Surface Forces
, Academic Press
, London
.21.
Barenblatt
, G.
, 1962, “The Mathematical Theory of Equilibrium Cracks in Brittle Fracture
,” Adv. Appl. Mech.
, 7
, pp. 55
–129
.22.
Gilardi
, G.
, and Sharf
, I.
, 2002, “Literature Survey of Contact Dynamics Modelling
,” Mech. Mach. Theory
, 37
(10
), pp. 1213
–1239
.23.
Gonthier
, Y.
, McPhee
, J.
, Lange
, C.
, and Piedboeuf
, J.
, 2004, “A Regularized Contact Model With Asymmetric Damping and Dwell-Time Dependent Friction
,” Multibody Syst. Dyn.
, 11
(3
), pp. 209
–233
.24.
Hunt
, K.
, and Crossley
, F.
, 1975, “Coefficient of Restitution Interpreted as Damping in Vibroimpact
,” ASME J. Appl. Mech.
, 42
(2
), pp. 440
–445
.25.
Nayfeh
, A.
, and Mook
, D.
, 1995, Nonlinear Oscillations
, Wiley
, New York
.26.
Gonçalves
, P.
, Brennan
, M.
, and Elliott
, S.
, 2007, “Numerical Evaluation of High-Order Modes of Vibration in Uniform Euler-Bernoulli Beams
,” J. Sound Vib.
, 301
(3–5
), pp. 1035
–1039
.27.
Thomson
, W.
, 1965, Vibration Theory and Applications
, Prentice-Hall
, Englewood Cliffs, NJ
.28.
Hu
, Y.
, Chang
, C.
, and Huang
, S.
, 2004, “Some Design Considerations on the Electrostatically Actuated Microstructures
,” Sens. Actuators, A
, 112
(1
), pp. 155
–161
.29.
Sammoura
, F.
, Hancer
, M.
, and Yang
, K.
, 2011, “The Effect of Surface Chemistry on MEMS Stiction in an Ultralow-Humidity Environment
,” J. Microelectromech. Syst.
, 20
(2
), pp. 522
–526
.30.
Osterberg
, P.
, 1995, “Electrostatically Actuated Microelectromechanical Test Structures for Material Property Measurement
,” Ph.D. thesis, Massachusetts Institute of Technology, Cambridge, MA.Copyright © 2012
by American Society of Mechanical Engineers
You do not currently have access to this content.