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Air damping in laterally oscillating microresonators: a numerical and experimental study

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5 Author(s)
Wenjing Ye ; Sch. of Mech. Eng., Georgia Inst. of Technol., Atlanta, GA, USA ; Xin Wang ; Hemmert, W. ; Freeman, D.
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In this paper, we investigate computing air damping in a comb-drive resonator by numerically solving the three-dimensional (3-D) Stokes equation for the entire resonator using the FastStokes Solver. In addition, we used a recently developed computer microvision system to directly measure resonator frequency response. By comparing the measured results to those generated by one dimensional analytic models and by numerical solution of the 3-D Stokes' equation, we demonstrate that numerically solving the Stokes' equation is fast and also generates a model that matches quality the factor to within 10%. We also show that results based on one-dimensional (1-D) models mispredict quality factor by more than a factor of two. In addition, the detailed drag force distribution generated by the FastStokes solver is used to identify sources of errors in the 1-D models.

Published in:
Microelectromechanical Systems, Journal of  (Volume:12 ,  Issue: 5 )

Date of Publication: Oct. 2003

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