A parametric study of the nonlinear dynamics and sensitivity of a beam-rigid body microgyroscope

The nonlinear dynamical features of a gyroscopic system manifesting in a rotation rate sensor are presented. A computational shooting method and Floquet multipliers are used to characterize the response. Response characteristics are demonstrated and studied by generating various frequency-response plots, force-response curves, time-history plots, and phase-portraits. The effects of varying the DC bias voltages, the AC drive-voltage and drive-frequency, and the quality factors on the system response are studied in detail. The advantages of operating in the nonlinear regime are shown to appear in larger bandwidth and higher sensitivity.