In the operations of optical inertial sensors, geometric variations due to temperature and operation environments cause thermoelastic deformations of their components, which lead to changes in the area and perimeter of their resonator block. The fluctuations in the geometric scale factor are corrected by the piezoelectric actuator. This article presents the numerical formulation of the elastic behaviour of each piezoelectric actuator, and the numerical formulations are verified through comparisons with the results of a finite element simulation.

This article presents a numerical model for a piezoelectric actuator. This model estimates the layer configurations and flexural stiffness of multilayered materials in order to improve the actuator design. Mechanical dithering can be used to avoid the limitation of the lock-in region in a ring resonator. Although the vibro-elastic bimorph piezoelectric actuator has been used as a control, there are in fact piezoelectric rigidity effects on its layered structure. In this study, the plate/shell theory was adapted to multilayered structures; the geometric and material characteristics of multilayered systems were investigated and their structural performances were estimated. Moreover, the optimization designs for the geometric dimensions or material properties of layered systems were easily achieved through the presented equations.