An accurate numerical approach of 2D comb structured MEMS capacitor

S. Sahrani, M. Kuroda
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Abstract

In this paper, an efficient numerical approach, which is a combination of FDTD method and the body-fitted grid generation method with moving boundaries, is presented for the analysis of 2D comb structured MEMS variable capacitors with accelerated motions. By using this technique, it is possible to analyze the combined effect of the mechanical and electrical equations. Here, a relation between the displacements of the plates and the bias voltage is derived. For validation, the theoretical and the numerical results are compared. Both results are in very good agreement. The development of this numerical method is capable to determine the accuracy of the transient effect.
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二维梳状结构MEMS电容器的精确数值计算方法
本文将时域有限差分法与带移动边界的贴体网格生成法相结合,提出了一种分析二维梳子结构MEMS可变电容器加速运动特性的有效数值方法。利用这一技术,可以分析力学方程和电学方程的综合效应。在这里,板的位移和偏置电压之间的关系被导出。为了验证,将理论结果与数值结果进行了比较。这两个结果非常吻合。该数值方法的发展能够确定瞬态效应的准确性。
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