Electrically actuated MEMS resonators: Effects of fringing field and viscoelasticity

Farokhi, Hamed and Ghayesh, Mergen H. (2017) Electrically actuated MEMS resonators: Effects of fringing field and viscoelasticity. Mechanical Systems and Signal Processing, 95. pp. 345-362. ISSN 0888-3270

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Official URL: http://dx.doi.org/10.1016/j.ymssp.2017.03.018

Abstract

This paper studies the nonlinear electromechanical response of a MEMS resonator numerically. A nonlinear continuous multi-physics model of the MEMS resonator is developed taking into account the effects of fringing field, size, residual axial load, and viscoelasticity. Moreover, both longitudinal and transverse motions are accounted for in the system modelling and simulations. The equations of motion of the MEMS resonator are obtained employing Hamilton's principle together with the modified version of the couple stress based theory (to account for size effects) and the Kelvin-Voigt model (to account for nonlinear energy dissipation). The Meijs-Fokkema electrostatic load formula is used to reliably model the fringing field effects. The continuous multi-physics model, consisting of geometrical, electrical, and viscos nonlinearities is discretised via a weighted-residual method, yielding a set of nonlinearly coupled ordinary differential equations (ODEs). The resultant set of ODEs is solved numerically when the microresonator is actuated by a biased DC voltage and an AC voltage. The results of the numerical simulations are presented in the form of DC voltage-deflection, DC voltage-natural frequency, and AC frequency-displacement diagrams. The effects of fringing field, residual axial load, small-scale, and nonlinear energy dissipation are highlighted. It is shown that fringing field effects are significant on both static and dynamic electromechanical responses of the MEMS resonator.

Item Type: Article
Uncontrolled Keywords: MEMS resonator; Fringing field effect; Residual axial load; Viscoelasticity; Kelvin-Voigt model; Modified couple stress theory
Subjects: H300 Mechanical Engineering
H600 Electronic and Electrical Engineering
Department: Faculties > Engineering and Environment > Mechanical and Construction Engineering
Depositing User: Paul Burns
Date Deposited: 14 Aug 2018 10:05
Last Modified: 14 Aug 2018 10:05
URI: http://nrl.northumbria.ac.uk/id/eprint/35316

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