Designing gram-scale resonators for precision inertial sensors

authored by: Jonathan J. Carter, Pascal Birckigt, Oliver Gerberding, Sina M. Koehlenbeck
Abstract: Recent advances in glass fabrication technology have allowed for the development of high-precision inertial sensors in devices weighing of the order of grams. Gram-scale inertial sensors can be used in many applications with tight space or weight requirements. A key element of these devices' performance is the behavior of a mechanical resonator. We present a detailed study on the design of resonators for such sensors. First, we consider how the mechanical parameters of a resonator couple with an inertial sensor's performance. Then, we look at how to geometrically design resonators to achieve specific mechanical behavior without undergoing brittle failure. Both analytic tools and finite element analysis are used to this end. We then derive expressions that can be used to optimize the performance of an inertial sensor for a specific sensitive bandwidth. A simple geometry used throughout the field is studied as an example. However, the results are presented in a general form so that they can be easily adapted to any required geometry and use case. Ultimately, the results presented here guide the design of gram-scale inertial sensors and will improve the performance of devices that follow them.
Organisation(s): Institute of Gravitation Physics
External Organisation(s): Max Planck Institute for Gravitational Physics (Albert Einstein Institute)
Fraunhofer Institute for Applied Optics and Precision Engineering (IOF)
Universität Hamburg
Type: Article
Journal: Physical review applied
Volume: 22
No. of pages: 16
ISSN: 2331-7019
Publication date: 18.07.2024
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: General Physics and Astronomy
Electronic version(s): https://doi.org/10.48550/arXiv.2312.09298 (Access: Open)
https://doi.org/10.1103/PhysRevApplied.22.014045 (Access: Open)

BibTeX

@article{0ec494aa04db4af58de7cd5fb98507f5,
title = "Designing gram-scale resonators for precision inertial sensors",
abstract = "Recent advances in glass fabrication technology have allowed for the development of high-precision inertial sensors in devices weighing of the order of grams. Gram-scale inertial sensors can be used in many applications with tight space or weight requirements. A key element of these devices' performance is the behavior of a mechanical resonator. We present a detailed study on the design of resonators for such sensors. First, we consider how the mechanical parameters of a resonator couple with an inertial sensor's performance. Then, we look at how to geometrically design resonators to achieve specific mechanical behavior without undergoing brittle failure. Both analytic tools and finite element analysis are used to this end. We then derive expressions that can be used to optimize the performance of an inertial sensor for a specific sensitive bandwidth. A simple geometry used throughout the field is studied as an example. However, the results are presented in a general form so that they can be easily adapted to any required geometry and use case. Ultimately, the results presented here guide the design of gram-scale inertial sensors and will improve the performance of devices that follow them.",
author = "Carter, {Jonathan J.} and Pascal Birckigt and Oliver Gerberding and Koehlenbeck, {Sina M.}",
note = "Publisher Copyright: {\textcopyright} 2024 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the {"}https://creativecommons.org/licenses/by/4.0/{"}Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Open access publication funded by Max Planck Society.",
year = "2024",
month = jul,
day = "18",
doi = "10.48550/arXiv.2312.09298",
language = "English",
volume = "22",
journal = "Physical review applied",
issn = "2331-7019",
publisher = "American Physical Society",
number = "1",
}