Theoretical and numerical predictions of the electromechanical behavior of spiral-shaped lead zirconate titanate (PZT) actuators

Presents a two-dimensional analytical model of a spiral-shaped PZT ceramic actuator. Developed using elasticity theory and a zero-stress assumption, the theoretical analysis has been formulated for a piecewise semicircular representation of the spiral-shaped actuator. Closed-form solutions of the tangential displacement of the equivalent spiral under applied electrical field in the poling direction have been obtained. To develop confidence in the theoretical model, results are compared with those obtained using finite element analysis (FEA). Results from both are then compared with previously reported experimental findings, and reasonable agreement is achieved.