论文标题
观察纳米力学谐振器作为模态叠加的异位运动
Observing off-resonance motion of nanomechanical resonators as modal superposition
论文作者
论文摘要
共振模式的观察是研究机械振荡的最直接方法，因为这些模式对刺激具有最大的响应。但是，可以通过在共振之间的频率上查看模态响应来深入了解机械运动。这样做的一种常见方法是迫使机械物体进行振荡并研究其非谐波行为。在本文中，我们介绍了模态响应形状的可视化，以使机械鼓驱动的共振。通过使用频率模态分析，我们将这些形状描述为共振模式的叠加。我们发现，驱动力的振荡成分的空间分布会影响模态重量或参与。此外，我们能够通过研究共振模式对驱动力频率的依赖性来推断鼓的不对称性。我们的结果强调，任何机械系统的动态响应都是其共振模式与各种模态权重的混合物，进一步使这种现象的普遍性得到了认可。
Observation of resonance modes is the most straightforward way of studying mechanical oscillations because these modes have maximum response to stimuli. However, a deeper understanding of mechanical motion could be obtained by also looking at modal responses at frequencies in between resonances. A common way to do this is to force a mechanical object into oscillations and study its off-resonance behaviour. In this paper, we present visualisation of the modal response shapes for a mechanical drum driven off resonance. By using the frequency modal analysis, we describe these shapes as a superposition of resonance modes. We find that the spatial distribution of the oscillating component of the driving force affects the modal weight or participation. Moreover, we are able to infer the asymmetry of the drum by studying the dependence of the resonance modes shapes on the frequency of the driving force. Our results highlight that dynamic responses of any mechanical system are mixtures of their resonance modes with various modal weights, further giving credence to the universality of this phenomenon.
