压电悬臂梁振动控制系统联合仿真与实验研究

针对传统的悬臂梁振动抑制系统建立动力学方程的复杂性和精确性不高等缺点,该文提出利用多物理场耦合仿真软件搭建悬臂梁系统作为被控对象,通过设计比例、积分、微分(PID)算法在Simulink中建立控制器模型,对悬臂结构进行振动控制联合仿真。由于结构具有未知性,因而传统控制器PID参数的选取常需根据经验进行试凑来确定。通过提出遗传算法优化PID参数的模型,从而实现参数在线优化实时控制压电悬臂梁振动,仿真和实验均验证了该模型的有效性。此外还通过改变压电执行器在悬臂梁不同应力处的位置进行了振动抑制的仿真与实验。结果表明,该算法模型具有很好的鲁棒性,在不同位置处均可获得最佳的PID整定参数,实现振动抑制最佳效果。

Co-simulation and Experimental Study on Piezoelectric Cantilever BeamVibration Control System

The vibration suppression system of the traditional cantilever beam has the disadvantages of complexity and low accuracy in establishing the dynamic equations. This paper proposes to use the multi-physics field coupling simulation software to build the cantilever beam system as the controlled object, and establish the controller model in Simulink by designing the proportional, integral and differential (PID) algorithm to carry out the co-simulation on the vibration control of the cantilever structures. Because of the unknown structure, the selection of PID parameters of traditional controllers is often determined by trial and error based on experience. A model for optimizing PID parameters by genetic algorithm is established to realize the online optimization of parameters to control the vibration of piezoelectric cantilever beam in real time. The effectiveness of the model is verified by the simulation and experiments. In addition, the simulation and experiment on the vibration suppression is carried out by changing the position of the piezoelectric actuator at different stress points of the cantilever beam. The results show that the algorithm model has good robustness, and the best PID tuning parameters can be obtained at different positions such that the best effect of vibration suppression can be achieved.