Impact of Structural Design on Magneto-Mechanical Resonators: The Case of a Jewel Bearing Variant
Abstract
Magneto-mechanical resonators (MMRs) are passive, wirelessly read sensors whose small size, miniaturizability, and low cost make them attractive for tracking and for sensing physical and chemical quantities. Their operation relies on a permanent-magnet rotor whose mechanical resonance encodes the sensing and tracking information. The bearing suspending this rotor is therefore decisive both for in-operation performance and for manufacturability. The original design suspends the rotor on a thin thread, which is nontrivial to assemble. This work investigates the impact of that structural design choice by introducing an alternative bearing in which the spherical rotor magnet rests in a cup-shaped industrial jewel. A dynamic model of this Jewel-MMR is derived, including the angle-dependent dry friction torque at the jewel contact. From it, a geometric trade-off between friction torque and resilience against unwanted oscillation modes is identified. Since the conventional quality factor loses its meaning under dominant dry friction, a two-tiered framework is proposed that compares MMR variants by estimation precision at equal magnet size and natural frequency. Both variants are characterized at a fixed pose on a Helmholtz-coil detection platform. The Jewel-MMR is self-aligning, requires fewer adhesive bonds and alignment steps, and the prototypes built here were assembled in less than half the time. Its response signal decays faster, so that under laboratory noise conditions the natural frequency and the orientation are recovered more precisely from the thread variant; these orientation figures quantify repeatability, not absolute accuracy. The jewel bearing, however, tolerates larger deflection angles and thus a stronger signal, which reverses this relation above a noise level determined in a simulation-based robustness analysis, indicating an advantage at reduced signal-to-noise ratio.
Versions
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BibTeX
@misc{conrad2026impact,
title = {{Impact of Structural Design on Magneto-Mechanical Resonators: The Case of a Jewel Bearing Variant}},
author = {David Conrad and Jan-Philipp Scheel and Frauke H. Niebel and Hossein Shabanalinezhad and Nora Timm and Sarah Reiss and Fabian Mohn and Tobias Knopp and Matthias Graeser},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2607.29430},
eprint = {2607.29430},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.29430},
}
RIS
TY - UNPB
TI - Impact of Structural Design on Magneto-Mechanical Resonators: The Case of a Jewel Bearing Variant
AU - David Conrad
AU - Jan-Philipp Scheel
AU - Frauke H. Niebel
AU - Hossein Shabanalinezhad
AU - Nora Timm
AU - Sarah Reiss
AU - Fabian Mohn
AU - Tobias Knopp
AU - Matthias Graeser
PY - 2026
DA - 2026/10/14
PB - arXiv
DO - 10.48550/arxiv.2607.29430
UR - https://arxiv.org/abs/2607.29430
AB - Magneto-mechanical resonators (MMRs) are passive, wirelessly read sensors whose small size, miniaturizability, and low cost make them attractive for tracking and for sensing physical and chemical quantities. Their operation relies on a permanent-magnet rotor whose mechanical resonance encodes the sensing and tracking information. The bearing suspending this rotor is therefore decisive both for in-operation performance and for manufacturability. The original design suspends the rotor on a thin thread, which is nontrivial to assemble. This work investigates the impact of that structural design choice by introducing an alternative bearing in which the spherical rotor magnet rests in a cup-shaped industrial jewel. A dynamic model of this Jewel-MMR is derived, including the angle-dependent dry friction torque at the jewel contact. From it, a geometric trade-off between friction torque and resilience against unwanted oscillation modes is identified. Since the conventional quality factor loses its meaning under dominant dry friction, a two-tiered framework is proposed that compares MMR variants by estimation precision at equal magnet size and natural frequency. Both variants are characterized at a fixed pose on a Helmholtz-coil detection platform. The Jewel-MMR is self-aligning, requires fewer adhesive bonds and alignment steps, and the prototypes built here were assembled in less than half the time. Its response signal decays faster, so that under laboratory noise conditions the natural frequency and the orientation are recovered more precisely from the thread variant; these orientation figures quantify repeatability, not absolute accuracy. The jewel bearing, however, tolerates larger deflection angles and thus a stronger signal, which reverses this relation above a noise level determined in a simulation-based robustness analysis, indicating an advantage at reduced signal-to-noise ratio.
ER -