Application of nonlinear driving in frequency matching of tunneling gyroscope

Abstract

The nonlinear vibration behavior of drivin g mode of a tunnelin g g yroscope is measured and simulated. Based upon these testin g results, a new method for frequency matchin g is presented. Compared to traditional harmonic vibration, lar g e amplitude and wide shift resonance frequency could be obtained in stable re g ion of nonlinearity by usin g this approach, especially, in this re g ion g yroscope could spontaneously vibrate at a certain driven frequency without needin g sweep-up frequency excitation.In our tunnelin g g yroscope, the vibration amplitude changes from l�m to 5�m at jumpin g -up point J I with the amplitude of the excitation electrostatic force increasin g . At the same time, the resonant frequency of drivin g mode can be shifted from nature frequency 1.81 kHz to 2.2 kHz, which is much closed to the resonant frequency of sensin g mode (2.23 kHz). This effect can be used as an alternative approach to trim the frequency and eliminate the frequency mismatchin g for the post-fabrication tunnelin g g yroscope, eventually, hi g her sensitivity could be g otten than usin g linear drivin g mode.

Parametric Characteristics and Bifurcation Analysis of Multi-Degree-of-Freedom Micro Gyroscope with Drive Stiffness Nonlinearity

“…The effects of system parameters and time delayed feedback gain on the system amplitude were discussed. Wang et al [28] proposed a method using the stiffness nonlinearity of the 1-DOF micro gyroscope in the driving direction. The inherent hardening characteristics of the stiffness nonlinearity were used to match the resonant frequency to achieve a higher amplitude than the linear design.…”