Application of Lagrangian configuration to the analysis of electrostatically-driven MEMS resonators

L. Arapan, B. Dulmet
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Abstract

This paper proposes an example of application of Lagrange configuration to the modelling of the electrostatically- driven vibrations of a silicon bar in flexure modes. Mapping an acousto-elastic problem onto the material coordinates of a well-known reference configuration is appropriate to analyze problems in finite deformation and is an excellent tool to model electrostatically-driven MEMS resonators. The paper presents an application of this approach to the analysis of a flexural resonator.
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拉格朗日组态在静电驱动MEMS谐振器分析中的应用
本文提出了一个应用拉格朗日组态来模拟硅棒在弯曲模态下的静电驱动振动的例子。将声弹性问题映射到已知参考构型的材料坐标上,是分析有限变形问题的合适方法,也是建立静电驱动MEMS谐振器模型的绝佳工具。本文介绍了该方法在弯曲谐振器分析中的一个应用。
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