Formulation of a simple distributed-parameter model of multilayer piezoelectric actuators

Abstract

A multilayer piezoelectric actuator is a promising linear vibrator. In this article, a simple distributed-parameter analytical model of piezoelectric actuator, which can model vibration characteristics of piezoelectric actuator–based applications, is formulated. Based on the physical analysis of piezoelectric actuator, a simplification is proposed, justified and applied to fundamentals of thickness-extension-mode piezoelectricity. This simplification subtly enables piezoelectric actuator to be effectively modelled as a whole and allows for a formulation of a simple analytical model. Compared with other modelling methods in the literature, the proposed model with a small number of easily accessible parameters is easy to handle and extend with little compromised accuracy. The effectiveness of the proposed model has been validated by a three-dimensional finite element analysis model of piezoelectric actuator developed in commercial software ANSYS.

Effects of electrodes and protective layers on the electromechanical characteristics of piezoelectric stack actuators

“…The reason for such discrepancy is that in the simple distributed parameter model and the equivalent circuit model, the displacement of each piezoelectric layer is assumed as the uniform distribution across each layer. 19,27 Secondly, comparisons on the resonance and antiresonance frequencies for F-F state are given. Li et al 43 proposed a refined resonance method to measure the properties of piezoelectric stack under prestress.…”

“…This method not only improved the previous transfer matrix method presented in the work of Bloomfield 25 and Morita et al 26 that considered the transfer matrix of each individual layer and then multiplied them, but also greatly facilitated the direct calculations or the derivation of analytical solutions when the piezoelectric stack was stacked with other structures. Zhang et al 27 proposed a simple distributed parameter model to study the vibration characteristics of piezoelectric stack actuatorbased applications. Compared with the previous equivalent circuit models [20][21][22][23] and transfer matrix methods, 25,26,28 this model was easy to handle using a small number of easily accessible parameters, but extended with the little compromised accuracy.…”

Active Vibration Suppression of Stiffened Composite Panels with Piezoelectric Materials under Blast Loads

“…In addition, Tolliver et al [5] described the finite element analysis of the piezoelectric transducer. The model of multilayer piezoelectric actuators is derived based on the physical analysis by Zhang et al [6]. The proposed methods are easy to handle and apply the piezo models.…”

Dynamic Analytical Solution of a Piezoelectric Stack Utilized in an Actuator and a Generator

“…They can establish an actual three-dimensional model to perform comprehensive numerical simulation. The models of the second kind are theoretical models, including a simplified model that requires the operating frequency to be far from the resonance frequency [27][28][29][30], the single degree of freedom model [31,32], the equivalent circuit model [33][34][35][36][37][38], the model based on the principle of energy conservation [39], the electromechanical impedance model [40], the simple distributed-parameter model [41], and the simplified transfer matrix model [42]. These models greatly promote the development and application of piezoelectric stacks in various engineering fields, such as energy harvesting from human motion [32][33][34]43], railway and roadway traffic-induced vibration [44,45], fuel injectors [46,47], and ultrasonic transducers [48][49][50].…”