Micro-Rotation Error Due to Base Angle Vibration

Mai Anh PhamFaculty of Basic Sciences, Hanoi University of Mining and Geology, No. 18 Viên street, BacTuLiem district, Hanoi, Vietnam

Vol 9 No 6 (2025): Volume 9, Issue 6, June 2025 | Pages: 171-175

International Research Journal of Innovations in Engineering and Technology

OPEN ACCESS | Research Article | Published Date: 26-06-2025

doi Logo doi.org/10.47001/IRJIET/2025.906023

Abstract

This article studies the mathematical model of the oscillation behavior of a micromechanical gyroscope under angular vibrations of the base. The motion equations are presented in the form of the Mathew-Hill differential equations. By applying the Krylov-Bogolyubov averaging method to analyze the slow-variable dynamics of the gyroscope, it is found that angular base vibrations occurring at resonant frequencies significantly affect the accuracy of the gyroscopic measurement.

Keywords

dynamics, micro-gyro, vibration, microelectromechanical, accuracy of micro-gyro


Citation of this Article

Mai Anh Pham. (2025). Micro-Rotation Error Due to Base Angle Vibration. International Research Journal of Innovations in Engineering and Technology - IRJIET, 9(6), 171-175. Article DOI https://doi.org/10.47001/IRJIET/2025.906023

References
  1. Boxenhorn B., “Planar inertial sensor” United States Patent No. 4,598,585. July 8, 1986M. Young, The Technical Writer’s Handbook. Mill Valley, CA: University Science, 1989. International Class: G01P 015/02.
  2. Schwerin, R.: Multibody System Simulation. Numerical Methods, Algorithms and Software. Springer, Berlin (1999)
  3. Udwadia, F.E., Phohomsiri, P.: Explicit equations of motion for constrained mechanical systems with singular mass matrices and applications to multi-body dynamics. Proc. R. Soc. A, Math. Phys. Eng. Sci. 462(2071), 2097–2117 (2006).