压电陶瓷驱动器迟滞非线性的修正Rayleigh模型建模及实验验证

Modified Rayleigh Modeling and Experimental Verification of Hysteresis Nonlinearity in Piezoelectric Actuators

针对压电陶瓷驱动器建模复杂的技术难点,本文提出了一种基于修正Rayleigh模型的动态迟滞非线性建模方法。首先,针对压电陶瓷材料的机电响应特性,构建了压电驱动器的线性本构方程;然后,基于迟滞效应成因及其微观机理研究,提出了采用Rayleigh模型的非线性建模方法;在此基础上,采用一阶线性方程描述压电驱动器频率相关特性并通过实验验证其有效性;之后,采用双Rayleigh系数,构建了非对称Rayleigh模型;最后,实验验证了Rayleigh模型在压电陶瓷驱动器次环响应中的适用性。

To address the complex technical challenges in modeling the hysteresis nonlinearity of piezoelectric actuators,this article proposed a nonlinear modeling approach based on the modified Rayleigh model.Firstly,starting from the microscopic structure of piezoelectric ceramic materials,a linear constitutive equation for piezoelectric actuators is established.Then,based on the analysis of causes and microscopic mechanisms of the hysteresis effect,a nonlinear modeling method using the Rayleigh model is proposed.On this basis,a first-order linear equation is used to describe the frequency-dependent characteristics of piezoelectric actuators and its validity is verified through experiments.Subsequently,an asymmetric Rayleigh model with dual Rayleigh coefficients is constructed.Finally,the applicability of the Rayleigh model in the sub-loop response of piezoelectric actuators is experimentally verified.