A two-dimensional electrostatic model of interdigitated comb drive in longitudinal mode

Antonio Gaudiello; Michel Lenczner

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arXiv · 1906.01872

A two-dimensional electrostatic model of interdigitated comb drive in longitudinal mode

Antonio Gaudiello·Michel Lenczner

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Abstract

A periodic homogenization model of the electrostatic equation is constructed for a comb drive with a large number of fingers and whose mode of operation is in-plane and longitudinal. The model is obtained in the case where the distance between the rotor and the stator is of an order $\varepsilon ^{α}$, $α\geq 2$, where $\varepsilon$ denotes the period of distribution of the fingers. The model derivation uses the two-scale convergence technique.\ Strong convergences are also established. This allows us to find, after a proper scaling, the limit of the electrostatic force applied to the rotor in the longitudinal direction.

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Antonio Gaudiello, Michel Lenczner. 2019-06-05. A two-dimensional electrostatic model of interdigitated comb drive in longitudinal mode. https://arxiv.org/abs/1906.01872

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