Journal
INTERNATIONAL JOURNAL OF MECHANICS AND MATERIALS IN DESIGN
Volume 12, Issue 3, Pages 301-315Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s10999-015-9295-0
Keywords
Microcantilever; Electrically actuated; Pull-in instability; Modified couple stress theory; Nonlinear dynamics; Size-dependent behaviour
Funding
- start-up grant of the University of Wollongong
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In this paper, the nonlinear size-dependent static and dynamic behaviours of a microelectromechanical system under an electric excitation are investigated. A microcantilever is considered for the modelling of the deformable electrode of the MEMS. The governing equation of motion is derived based on the modified couple stress theory (MCST), a non-classical model capable of capturing small-size effects. With the aid of a high-dimensional Galerkin scheme, the nonlinear partial differential equation governing the motion of the deformable electrode is converted into a reduced-order model of the system. Then, the pseudo-arclength continuation technique is used to solve the governing equations. In order to investigate the static behaviour and static pull-in instabilities, the system is excited only by the electrostatic actuation (i.e., a DC voltage). The results obtained for the static pull-in instability predicted by both the classical theory and MCST are compared. In the second stage of analysis, the nonlinear dynamic behaviour of the deformable electrode due to the AC harmonic actuation is investigated around the deflected configuration, incorporating size dependence.
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