论文标题
拱形碳纳米管谐振器的理论建模,表现出Euler-Bernoulli snap-through双稳定性
Theoretical modelling of arch-shaped carbon nanotube resonators exhibiting Euler-Bernoulli snap-through bi-stability
论文作者
论文摘要
在这项工作中,我们根据Euler-Bernoulli梁理论提供了最近报道的最近报道的电驱动的屈曲碳纳米管(CNT)谐振器的详细静态和动态分析。使用Galerkin还原订单模型分析系统行为。我们表明,简单的单模式分析已经可以预测弯曲的CNT谐振器中的快速双重稳定性。但是,我们证明,如果不考虑平面外运动,就无法解释实验数据以有限的频率发生。弯曲的CNT是表现出平面外静态运动的第一种弯曲梁,从未预测过独特的三维快速过渡。此外,我们还显示了这些设备还可以表现出闩锁现象的标准,这意味着它们可以在不施加力时保持扣子配置,从而使这些设备吸引了机械记忆应用。
In this work, we present a detailed static and dynamic analysis of a recently reported electrically actuated buckled carbon nanotube (CNT) resonator, based on the Euler-Bernoulli beam theory. The system behavior is analyzed using the Galerkin reduced order model. We show that a simple single-modal analysis can already predict snap-through bi-stability in a buckled CNT resonator. However, we prove that the experimental data, in which the snap-through buckling occurs at a finite frequency, cannot be explained without taking into account out-of-plane motion. The buckled CNTs are the first type of buckled beams to exhibit out-of-plane static motion, resulting in a unique three-dimensional snap-through transition, never before predicted. In addition, we show the criteria under which these devices can also exhibit latching phenomena, meaning that they can maintain their buckle configuration when no force is applied, making these devices appealing for mechanical memory applications.