Employing electro-mechanical analogies for co-resonantly coupled cantilever sensors
Employing electro-mechanical analogies for co-resonantly coupled cantilever sensors
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DOI：
10.5194/jsss-5-245-2016
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发表时间：
2016-01-01
影响因子：
1
通讯作者：
Gerlach, Gerald
中科院分区：
文献类型：
--
作者：
Koerner, Julia;Reiche, Christopher F.;Gerlach, Gerald
通过采用机电类比可以促进和改进对机械系统行为的理解。这些类比使得网络分析工具的使用以及将机械系统转化为电路的纯分析处理成为可能。最近，我们开发了一种新型传感器装置，基于两个具有匹配谐振频率（共谐振耦合）的耦合悬臂梁，并可能在磁力显微镜和悬臂磁力测量中应用。为了详细分析传感器的行为，我们将其描述为电路模型。从忽略阻尼的简化耦合谐振子模型开始，我们通过添加阻尼和相互作用元素逐渐增加系统的复杂性。对于每个阶段，讨论了耦合系统的各种特征，并将其与共谐振传感器获得的测量数据进行了比较。此外，我们还表明，电路模型可用于导出对于评估测量数据至关重要的传感器参数。最后，讨论了弯曲梁的更复杂的电路表示，揭示了耦合谐振子的简化电路模型是传感器系统的非常好的表示。
Understanding the behaviour of mechanical systems can be facilitated and improved by employing electro-mechanical analogies. These analogies enable the use of network analysis tools as well as purely analytical treatment of the mechanical system translated into an electric circuit. Recently, we developed a novel kind of sensor set-up based on two coupled cantilever beams with matched resonance frequencies (co-resonant coupling) and possible applications in magnetic force microscopy and cantilever magnetometry. In order to analyse the sensor's behaviour in detail, we describe it as an electric circuit model. Starting from a simplified coupled harmonic oscillator model with neglected damping, we gradually increase the complexity of the system by adding damping and interaction elements. For each stage, various features of the coupled system are discussed and compared to measured data obtained with a co-resonant sensor. Furthermore, we show that the circuit model can be used to derive sensor parameters which are essential for the evaluation of measured data. Finally, the much more complex circuit representation of a bending beam is discussed, revealing that the simplified circuit model of a coupled harmonic oscillator is a very good representation of the sensor system.