A material rigidity effect of a bimorph piezoelectric actuator

Abstract

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

Piezoelectric inertial rotary actuators based on asymmetrically clamping structures

“…Assuming that the increase in the effect of rigidity caused by the piezoelectric layers and connective seam layers is ignored, the maximum equivalent bending force F bi can be obtained as follows [30]:…”

“…Some important parameters, such as k i , c and I, have been analyzed and got in the previous work, the others are firstly adopted from Refs. [30,31] and then fine-tuned until simulation and experimental curves match. table mainly consists of a signal generator, power amplifier, digital storage oscilloscope, prototype, laser sensor, and personal computer.…”

Modelling the mechanical dither of a ring resonator

“…where ε is the relative dielectric permeability of the piezoelectric elements, ε 0 is the dielectric constant, S c is the transverse sectional area of the piezoelectric elements, E p is the piezoelectric field (V /t c ), t c is the thickness of the piezoelectric element, and d 31 is the piezoelectric constant. Under micro-operation of the elastic metal actuator [13,14], the piezoelectric attached to the elastic metal prevents the actuator from bending due to the increased equivalent rigidity. Therefore, the optimal thickness/dimension ratio between the piezoelectric and elastic metal actuators was found.…”

Parametric design of mechanical dither with bimorph piezoelectric actuator for ring laser gyroscope

“…Lee. presented the performances of dither mechanism theoretically on the basis of the loading condition and angular characteristics due to piezoelectric ceramic deformation [9][10][11]. A numerical modeling of the piezoelectric actuator included piezoelectric rigidity effect of the actuator to predict the resonant frequency of the mechanical dither.…”