Version 1
: Received: 16 July 2024 / Approved: 16 July 2024 / Online: 17 July 2024 (10:23:11 CEST)
How to cite:
Gill, W. A.; Howard, I.; Mazhar, I.; McKee, K. A Detailed Analytical Analysis on the Dynamic Behaviour of a MEMS Vibrating Internal Ring Gyroscope. Preprints2024, 2024071366. https://doi.org/10.20944/preprints202407.1366.v1
Gill, W. A.; Howard, I.; Mazhar, I.; McKee, K. A Detailed Analytical Analysis on the Dynamic Behaviour of a MEMS Vibrating Internal Ring Gyroscope. Preprints 2024, 2024071366. https://doi.org/10.20944/preprints202407.1366.v1
Gill, W. A.; Howard, I.; Mazhar, I.; McKee, K. A Detailed Analytical Analysis on the Dynamic Behaviour of a MEMS Vibrating Internal Ring Gyroscope. Preprints2024, 2024071366. https://doi.org/10.20944/preprints202407.1366.v1
APA Style
Gill, W. A., Howard, I., Mazhar, I., & McKee, K. (2024). A Detailed Analytical Analysis on the Dynamic Behaviour of a MEMS Vibrating Internal Ring Gyroscope. Preprints. https://doi.org/10.20944/preprints202407.1366.v1
Chicago/Turabian Style
Gill, W. A., Ilyas Mazhar and Kristoffer McKee. 2024 "A Detailed Analytical Analysis on the Dynamic Behaviour of a MEMS Vibrating Internal Ring Gyroscope" Preprints. https://doi.org/10.20944/preprints202407.1366.v1
Abstract
This paper presents the development of an analytical model of Microelectromechanical Systems (MEMS) internal vibrating ring gyroscope. The internal ring structure consists of eight semicircular beams that are attached to the externally placed anchors. The research work analyses the vibrating ring gyroscope inplane displacement behavior and the resulting elliptical vibrational modes. The elliptical vibrational modes appear as pairs with the same resonance frequency due to the symmetric structure of the design. The analysis commences by conceptualizing the ring as a geometric structure with a circular shape, possessing specific dimensions such as thickness, height, and radius. We construct a linear model that characterizes the vibrational dynamics of the internal vibrating ring. The analysis develops a comprehensive mathematical formulation for the radial and tangential displacements in local polar coordinates, considering the inextensional displacement of the ring structure. By utilizing the derived motion equations, we highlight the underlying relationships driving the vibrational characteristics of the MEMS vibrating ring gyroscope. These dynamic vibrational relationships are essential in enabling the vibrating ring gyroscope's future utilization in accurate navigation and motion sensing technologies.
Keywords
MEMS; MEMS Gyroscope; Vibrating Ring Gyroscope; Dynamics; Motion Equations; Resonance Frequency; Ring Resonator; Inertial Sensor
Subject
Engineering, Mechanical Engineering
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
