Abstract
In order to accurately model the hysteresis and dynamic characteristics of piezoelectric stack actuators (PSAs), consider that a linear force and a hysteresis force will be generated by piezoelectric wafers under the voltage applied to a PSA, and the total force suffering from creep will result in the forced vibration of the two-degree-of-freedom mass-spring-damper system composed of the equivalent mass, stiffness, and damping of the piezoelectric wafers and the bonding layers. A modified comprehensive model for PSAs is put forward by using a linear function, an asymmetrical Bouc-Wen hysteresis operator, and a creep function to model the linear force, the hysteresis force, and the creep characteristics, respectively. In this way, the effect of the bonding layers on the hysteresis and dynamic characteristics of PSAs can be analyzed via the modified comprehensive model. The experimental results show that the modified comprehensive model for PSAs with the corresponding parameter identification method can accurately portray the hysteresis and dynamic characteristics of PSAs fabricated by different layering/stacking processes. Finally, the theoretical analyzing on utilizing the modified comprehensive model to linearize the hysteresis characteristics and design the dynamic characteristics of PSAs is given.
Highlights
In the two decades, piezoelectric actuators have been widely used in many smart structures [1,2,3]
Consider that a linear force and a hysteresis force will be generated by piezoelectric wafers under the applied voltage
According to (4) and (5), the mechanical model can be equivalent to the 2-DOF mass-spring-damper system composed of the equivalent mass, stiffness, and damping of the piezoelectric wafers and the bonding layers
Summary
Piezoelectric actuators have been widely used in many smart structures [1,2,3]. The current literatures indicated that the existing researches are mainly focused on hysteresis models for PSAs, such as the Preisach model [4,5,6,7], the Prandtl-Ishlinskii model [8, 9], the Polynomial model [10, 11], the Neural Network model [12, 13], the Maxwell model [14, 15], the Duhem model [16], the LuGre model [17, 18], the differential model [19], and the Bouc-Wen model [19,20,21] These hysteresis models for PSAs can only simulate the hysteresis characteristics of PSAs. When simulating the dynamic characteristics of a PSA, the PSA is generally considered as a single-degreeof-freedom (DOF) mass-spring-damper system composed of the equivalent mass, damping, and stiffness of the PSA [17, 18, 22, 23].
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