Necessary conditions for static and dynamic bow snap-through in electrostatically actuated initially curved and latched micro-beams

IF 4.5 1区 工程技术 Q1 ENGINEERING, MECHANICAL Mechanism and Machine Theory Pub Date : 2024-08-19 DOI:10.1016/j.mechmachtheory.2024.105772
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Abstract

A curved bistable micro-beam, subjected to electrostatic loading from an electrode facing its concave side, may produce a snap-through response with voltages as low as 54%, when compared to actuation from a convex facing electrode. Such actuation has been dubbed “bow actuation” due to the similarity of preloading an arrow onto a bow, and the resulting equilibrium shift, as “bow snap-through”. Under a certain elevation-to-thickness ratio, a bistable beam will also become latchable, allowing the beam to maintain itself in its second stable state under zero load/voltage. In the current work, necessary conditions are found for static and dynamic bow snap-through, which can be used as a tool to design and produce bow snap-through responses, promoting efficient non-volatile and low-power consumption bistable based devices. The conditions are found using an undamped dynamic single degree-of-freedom (DoF) reduced-order (RO) model, attained via Galerkin’s decomposition. Subsequent numerical calculations, conducted in the presence of ambient damping, show that the condition is necessary to attain bow snap-through responses, while also disclosing the snapping behaviour of the model.

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静电驱动初始弯曲和闩锁微梁中静态和动态弓形卡穿的必要条件
一个弯曲的双稳态微梁在其凹面电极的静电加载下,与凸面电极的驱动相比,可产生电压低至 54% 的快穿响应。这种致动被称为 "弓形致动",因为它类似于将箭预载到弓上,以及由此产生的平衡移动,即 "弓形快穿"。在一定的仰角-厚度比下,双稳态梁也会变得可闩锁,使梁在零负载/电压下保持第二稳定状态。目前的研究发现了静态和动态 "弓形快穿 "的必要条件,可将其作为设计和生产 "弓形快穿 "响应的工具,促进基于双稳态器件的高效非易失性和低功耗。通过伽勒金分解,使用无阻尼动态单自由度(DoF)降阶(RO)模型发现了这些条件。随后在存在环境阻尼的情况下进行的数值计算表明,该条件是实现弓形快穿响应的必要条件,同时也揭示了模型的快穿行为。
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来源期刊
Mechanism and Machine Theory
Mechanism and Machine Theory 工程技术-工程:机械
CiteScore
9.90
自引率
23.10%
发文量
450
审稿时长
20 days
期刊介绍: Mechanism and Machine Theory provides a medium of communication between engineers and scientists engaged in research and development within the fields of knowledge embraced by IFToMM, the International Federation for the Promotion of Mechanism and Machine Science, therefore affiliated with IFToMM as its official research journal. The main topics are: Design Theory and Methodology; Haptics and Human-Machine-Interfaces; Robotics, Mechatronics and Micro-Machines; Mechanisms, Mechanical Transmissions and Machines; Kinematics, Dynamics, and Control of Mechanical Systems; Applications to Bioengineering and Molecular Chemistry
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