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A Two-Dimensional Electrostatic Model of Interdigitated Comb Drive in Longitudinal Mode
SIAM Journal on Applied Mathematics ( IF 1.9 ) Pub Date : 2020-03-25 , DOI: 10.1137/19m1270306
Antonio Gaudiello , Michel Lenczner

SIAM Journal on Applied Mathematics, Volume 80, Issue 2, Page 792-813, January 2020.
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 $\varepsilon^{\alpha}$, $\alpha \geq 2$, 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.


中文翻译:

纵向梳齿驱动的二维静电模型

SIAM应用数学杂志,第80卷,第2期,第792-813页,2020年1月。
为带有大量指状件且其工作模式为平面内和垂直的梳齿驱动器构造了静电方程的周期性均质化模型。纵。在转子和定子之间的距离为阶数\\ varepsilon ^ {\ alpha} $,$ \ alpha \ geq 2 $的情况下获得模型,其中$ \ varepsilon $表示电机的分布周期。手指。模型推导使用两尺度收敛技术。也建立了强大的融合。这使我们能够在适当缩放后找到沿纵向方向施加到转子的静电力的极限。
更新日期:2020-03-25
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