Modeling and analysis of a capacitive MEMS with a microstructured gap subjected to a mechanical shock

IF 2.3 3区 工程技术 Q2 MECHANICS
Ahmed Hashim Kareem, Mohammad Fathalilou, Ghader Rezazadeh
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引用次数: 0

Abstract

The objective of this paper is to present a mathematical model for examining the response of capacitive MEMS with elastomeric microstructured gaps, to mechanical shock pulses. This type of MEMS has attracted increasing attention in recent years due to its enhanced sensitivity, particularly in healthcare systems. Although the literature successfully develops experimental analysis, it lacks a comprehensive mathematical model to predict behavior, as well as necessary analysis. This paper presents a model that focuses on the response of a half-sine shock. The capacitor gap has been filled with a micro-pillar array made of polydimethylsiloxane (PDMS) as a microstructured layer. Three sets of coupled nonlinear differential equations have been obtained to govern the transverse vibrations of the beam, and the axial and bending vibrations of the pillars. PDMS has been assumed to follow the Kelvin–Voigt model, along with the nonlinear strain. A comparison was made between the air and PDMS gap systems, revealing that the former experiences a response amplitude several times smaller than the latter due to the added stiffness of the pillars in the absence of an electrostatic field. Nevertheless, when the electrostatically actuated beam is subjected to shock, the opposite results may be observed. This is due to the opposing effects of the added stiffness of the pillars and the gap’s higher permittivity. The results demonstrate that the provided model is capable of accurately predicting the response of the microstructured-gap capacitor to mechanical shocks and other external stimuli.

带有微结构间隙的电容式 MEMS 受机械冲击的建模与分析
本文旨在提出一个数学模型,用于研究具有弹性微结构间隙的电容式微机电系统对机械冲击脉冲的响应。近年来,这类 MEMS 因其更高的灵敏度而受到越来越多的关注,尤其是在医疗保健系统中。虽然文献成功地进行了实验分析,但缺乏预测行为的综合数学模型以及必要的分析。本文提出了一个侧重于半正弦冲击响应的模型。电容器间隙由作为微结构层的聚二甲基硅氧烷(PDMS)制成的微柱阵列填充。已获得三组耦合非线性微分方程来控制横梁的横向振动以及支柱的轴向和弯曲振动。假定 PDMS 与非线性应变一起遵循 Kelvin-Voigt 模型。对空气和 PDMS 间隙系统进行比较后发现,前者的响应振幅比后者小几倍,这是因为在没有静电场的情况下,支柱增加了刚度。然而,当静电致动梁受到冲击时,可能会出现相反的结果。这是由于支柱的附加刚度和间隙的较高介电常数产生了相反的效果。结果表明,所提供的模型能够准确预测微结构间隙电容器对机械冲击和其他外部刺激的响应。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Acta Mechanica
Acta Mechanica 物理-力学
CiteScore
4.30
自引率
14.80%
发文量
292
审稿时长
6.9 months
期刊介绍: Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.
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