Electronic Thesis and Dissertation Repository

Degree

Master of Engineering Science

Program

Mechanical and Materials Engineering

Supervisor

Prof. Samuel F Asokanthan

Abstract

Effect of stochastic fluctuations in angular velocity on the stability of two DOF ring-type MEMS gyroscopes is investigated. The governing Stochastic Differential Equations are discretized using the higher-order Milstein scheme in order to numerically predict the system response assuming the fluctuations to be white noise. Simulations via Euler scheme as well as a measure of Largest Lyapunov Exponents are employed for validation purposes due to lack of similar analytical or experimental data. The stability investigation predicts that the threshold fluctuation intensity increases nonlinearly with damping ratio. Under typical gyroscope operating conditions, nominal input angular velocity magnitude and mass mismatch appear to have minimal influence on system stability.

Furthermore, construction, electrical improvements, testing and troubleshooting of a macro-scale ring-type gyroscope prototype is completed. Experiments have been conducted in order to investigate the linearity of system response, system behavior when subjected to environmental fluctuation in angular rate as well as the effects of angular rate and mass mismatch on system natural frequency. It is shown that the system natural frequency decreases with input angular rate and mass mismatch. It is also revealed that the system exhibits a more efficient damping behavior when subjected to stochastic speed fluctuations with fixed intensity at higher input angular rates.


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