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Numerical Study of the Impact of Vibration Localization on the Motional Resistance of Weakly Coupled MEMS Resonators

Erbes, A and Thiruvenkatanathan, P and Woodhouse, J and Seshia, AA (2015) Numerical Study of the Impact of Vibration Localization on the Motional Resistance of Weakly Coupled MEMS Resonators. Journal of Microelectromechanical Systems, 24. pp. 997-1005. ISSN 1057-7157

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Abstract

© 1992-2012 IEEE. This paper presents a numerical study of the impact of process-induced variations on the achievable motional resistance R-{x} of 1-D, 2-D, cyclic, and cross-coupled architectures of weakly coupled electrostatically transduced microelectromechanical resonators operating in the 250-kHz range. We use modal analysis to find the R-{x} of such coupled arrays and express it as a function of the eigenvectors of the specific mode of vibration. Monte Carlo numerical simulations, which accounted for up to 0.75% variation in critical resonator feature sizes, were initiated for different array sizes and coupling strengths for the four distinct coupling architectures. Improvements in the mean and standard deviation of the generated R-{x} distributions are reported when the resonators are implemented in a cross-coupled scheme, as opposed to the traditional 1-D chain. The 2-D coupling scheme proves to be a practical and scalable alternative to weakly coupled 1-D chains to improve the immunity to process variations. It is shown that a 75% reduction in both the mean and standard deviation of the R-{x} is achieved, as compared with the traditional 1-D chain for a normalized internal coupling \kappa > 10^{-2}. [2014-0217]

Item Type: Article
Subjects: UNSPECIFIED
Divisions: Div C > Applied Mechanics
Depositing User: Cron Job
Date Deposited: 17 Jul 2017 19:44
Last Modified: 03 Aug 2017 03:14
DOI: