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Proceedings Paper

Large amplitude effects on the resonant frequency of electrostatically driven microresonators: theory and experimental validation
Author(s): Hua Chen; Olivier Francais; Olivier Gigan; Olivier Robert
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Paper Abstract

This paper is dedicated to a global study of large amplitude effects of electrostatically driven microresonators. Special attention is given to the electrostatic soft spring effect. A theoretical description of the amplitude-induced soft spring effect is given to an electrostatically driven parallel-plate type resonator. A coefficient representing the beam mode shape is introduced, for a clamped-clamped beam resonator. Electrostatic soft spring effect is combined with hard spring effect to highlight the possibility of obtaining a design criteria for compensating the two effects. Hysterisis due to nonlinear forces are addressed, and a critical amplitude is given. A numeric simulator based on MATLAB/Simulink is developed to highlight the electrostatic soft spring effect. Three prototypes with different geometries, which represent each a typical case, are fabricated on an SOI wafer. The design criteria has been compared with measurements obtained with prototypes and experimental results showed good agreements with theory and simulations.

Paper Details

Date Published: 14 November 2002
PDF: 12 pages
Proc. SPIE 4935, Smart Structures, Devices, and Systems, (14 November 2002); doi: 10.1117/12.469407
Show Author Affiliations
Hua Chen, Groupe ESIEE (France)
Olivier Francais, Groupe ESIEE (France)
Olivier Gigan, TRONIC'S Microsystems (France)
Olivier Robert, Groupe ESIEE (France)

Published in SPIE Proceedings Vol. 4935:
Smart Structures, Devices, and Systems
Erol C. Harvey; Derek Abbott; Vijay K. Varadan, Editor(s)

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