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