Modeling of Piezoelectric Actuator Based on Hysteretic Nonlinear Theory

A kind of piezoelectric actuator model based on hysteretic nonlinear theory was developed. Van de Pol item was introduced to interpret hysteresis phenomenon of voltage–displacement curve of piezoelectric ceramics. The coupling relationship among strain, stress and voltage was obtained in partial least-square regression method to describe the driftage phenomenon of voltage–strain curve in different stress. The result of forecast test shows that the piezoelectric ceramics model accords with experimental data well. Based on the new piezoelectric ceramics model, the mechanical model of piezoelectric actuator was developed, and dynamic models of simply-supported beam system with piezoelectric actuator in uncontrolled and controlled states were set up. The resilience and damping force caused by strain were considered in the model. The new piezoelectric actuator model has simple form and is easy to be analyzed in theory, which is helpful to vibration control.