基于系统相似方法的叠堆型压电驱动器非线性动力学建模及实验研究

Nonlinear dynamic modeling and experiment of stack-type piezoelectric actuator based on system similarity method

根据机械系统与电气系统的相似方法,将叠堆型压电驱动器的非线性电-机械耦合模型完全转换到电气域内,建立其非线性相似电路模型;给出了非线性相似电路模型中迟滞因子的辨识方法,并对某款商用叠堆型压电驱动器进行了迟滞因子的辨识试验;基于非线性相似电路模型和迟滞因子的辨识结果,对该款叠堆型压电驱动器的非线性特性进行了仿真分析,得到了其非线性位移迟滞回线;仿真结果与试验结果吻合,证明了该建模过程与辨识方法的正确性。该建模方法在电气域内对叠堆型压电驱动器电-机械耦合特性及非线性迟滞特性进行描述,建模过程物理意义清晰且简单实用,对于研究压电驱动器的动态特性及控制算法具有实际意义。

According to the method of similarity between mechanical system and electrical system,a nonlinear circuit model of stack-type piezoelectric actuator was established by transforming its electromechanical coupling model to a pure electrical one. The identification method for the hysteresis factor in the nonlinear circuit model was given out and the identification experiments on a commercial stack-type piezoelectric actuator were carried out. Based on the established nonlinear circuit model and the identified hysteresis factor,the nonlinear dynamic characteristics of the piezoelectric actuator were simulated. The simulated hysteresis curve agrees well with the experiment result which verifies the theory.The proposed model can describe the electromechanical coupling characteristics and nonlinear hysteresis characteristics of stack-type piezoelectric actuator in electrical domain with obvious physical sense. The results are of practical significance to study the dynamic characteristics and control algorithm of stack-type piezoelectric actuators.