This paper presents the numerical modeling of a piezoelectric actuator used to avoid the
limitation of the lock-in region in a ring resonator. Ring resonators have proved suitable for
use as inertial sensors for navigation, guidance and attitude controls. However, their
accuracy has been limited by the lock-in region due to frequency coupling between two
counter-propagating waves at low rotation rates. This coupling introduces no phase
difference, and no angular increment is detected. The problem can be overcome by
mechanically dithering the ring resonator. Mechanically, the vibro-elastic bimorph
piezoelectric actuator has been used as a control but is influenced by piezoelectric rigidity
effects. To more accurately predict the dithering frequency of a mechanical dither,
numerical modeling of a piezoelectric actuator includes the piezoelectric rigidity effect of
the actuator, which occurs in both the static and dynamic behaviors of composite plates
having piezoelectric layers symmetrically bonded to the top and bottom surfaces.
Corrections were made to figures 1 and 2 on 13 June 2007. The corrected electronic version is identical to the print version