Employing electro-mechanical analogies for co-resonantly coupled cantilever sensors
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 deve...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Copernicus Publications
2016-07-01
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| Series: | Journal of Sensors and Sensor Systems |
| Online Access: | http://www.j-sens-sens-syst.net/5/245/2016/jsss-5-245-2016.pdf |
| Summary: | 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. |
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| ISSN: | 2194-8771 2194-878X |