A phenomenological model for pre-stressed piezoelectric ceramic stack actuators

Abstract

In order to characterize the hysteretic characteristics between the output displacement and applied voltage of pre-stressed piezoelectric ceramic stack actuators (PCSAs), this paper considers that a linear force and a hysteretic force will be generated by a linear extension and a hysteretic extension, respectively, due to the applied voltage to a pre-stressed PCSA and the total force will result in the forced vibration of the single-degree-of-freedom (DOF) system composed of the mass of the pre-stressed PCSA and the equivalent spring and damper of the pre-stressed mechanism, which lets the PCSA be pre-stressed to endure enough tension. On this basis, the phenomenological model to characterize the hysteretic behavior of the pre-stressed PCSA is put forward by using the Bouc-Wen hysteresis operator to model the hysteretic extension. The parameter identification method in a least-squares sense is established by identifying the parameters for the linear and hysteretic components separately with the step and periodic responses of the pre-stressed PCSA, respectively. The performance of the proposed phenomenological model with the corresponding parameter identification method is experimentally verified by the established experimental set-up. The research results show that the phenomenological model for the pre-stressed PCSA with the corresponding parameter identification method can accurately portray the hysteretic characteristics of the pre-stressed PCSA. In addition, the phenomenological model for PCSAs can be deduced from the phenomenological model for pre-stressed PCSAs by removing the terms related to the pre-stressed mechanisms.

A Modified Comprehensive Model for Piezoelectric Stack Actuators and Corresponding Parameter Identification Method

“…where and are the equivalent damping and stiffness of PSAs, respectively, and can be obtained by the identification method proposed in [20]. Equations ( 1)-( 3) and ( 6) define the simplified comprehensive model for PSAs.…”

“…However, 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.…”

Influence of Hysteresis on the Vibration Control of a Smart Beam with a Piezoelectric Actuator by the Bouc–Wen Model

“…At present, the hysteresis modeling approaches include Preisach model [11], Prandtl-Ishlinskii (PI) model [12][13][14], and Bouc-Wen model [15].…”

Structural dynamic modification of an active suspended handle with a parallel coupled piezo stack actuator

“…16 Non-linear hysteresis, creep and saturation effects are inherent characteristics of the piezoelectric actuator, which can negatively affect its performance. Numerous hysteresis models have been developed, which include the Prandtl-Ishlinski, 17,18 Preisach, 19,20 Bouc-Wen 21 and quadratic hysteresis models. 22,23 The hysteresis characteristic can be mitigated using their inverse model, which linearize the hysteresis of the piezoelectric actuator, but most of the time, without taking the saturation effect into consideration.…”