Pull-in instability, as an inherent nonlinear problem, continues to become an increasingly important and interesting topic in the design of electrostatic Nano/Micro-electromechanical systems (N/MEMS) devices. Generally, the pull-in instability was studied in a continuous space, but when the electronic devices work in a porous medium, they need to be analyzed in a fractal partner. In this paper, we establish a fractal model for N/MEMS, and find a pull-in stability plateau, which can be controlled by the porous structure, and the pull-in instability can be finally converted to a stable condition. As a result, the pull-in instability can be completely eliminated, realizing the transformation of pull-in instability into pull-in stability.

中文翻译：

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分形 N/MEMS：从拉入不稳定性到拉入稳定

吸合不稳定性作为一个固有的非线性问题，在静电纳米/微机电系统 (N/MEMS) 器件的设计中继续成为一个越来越重要和有趣的话题。一般来说，拉入不稳定性是在连续空间中研究的，但是当电子设备在多孔介质中工作时，它们需要在分形伙伴中进行分析。在本文中，我们建立了N/MEMS的分形模型，并找到了一个可以通过多孔结构控制的拉入稳定平台，最终可以将拉入不稳定性转化为稳定状态。从而彻底消除拉入不稳定性，实现拉入不稳定向拉入稳定的转变。