Supplementary Data for Natural Frequency Dependence of Magneto-Mechanical Resonators on Magnet Distance

This dataset contains the raw data underlying the results presented in the research article "Natural Frequency Dependence of Magneto-Mechanical Resonators on Magnet Distance" (https://doi.org/10.1109/JSEN.2025.3600007) from J. Faltinath, F. Mohn, F. Foerger, M. Möddel and T. Knopp published in the IEEE Sensors Journal, Volume 25, Issue 20.

Abstract of the associated research article: The precise derivation of physical quantities like temperature or pressure at arbitrary locations is useful in numerous contexts, e.g., medical procedures or industrial process engineering. The novel sensor technology of magneto-mechanical resonators (MMRs), based on the interaction of a rotor and stator permanent magnet, allows for the combined tracking of the sensor position and orientation while simultaneously sensing an external measurand. Hence, the quantity is coupled to the torsional oscillation frequency, e.g., by varying the magnet distance. In this article, we analyze the (deflection angle-independent) natural frequency dependence of MMR sensors on the rotor-stator distance and evaluate the performance of theoretical models. The three presented sensors incorporate magnets of spherical and/or cylindrical geometry and can be operated at adjustable frequencies within the range of 61.9–307.3 Hz. Our proposed method to obtain the natural frequency demonstrates notable robustness to variations in the initial deflection amplitudes and quality factors, resulting in statistical errors on the mean smaller than 0.05 %. We find that the distance–frequency relationship is well-described by an adapted dipole model accounting for material and manufacturing uncertainties. Their combined effect can be compensated by an adjustment of a single parameter, which drives the median model deviation generally below 0.2 %. Our depicted methods and results are important for the design and calibration process of new sensor types utilizing the MMR technique.

Please refer to the provided "Readme.txt" for guidance on the structure and usage of the dataset.