压电悬臂碳纤维层合板的振动控制研究

Research on Vibration Control of Piezoelectric Cantilever Carbon Fiber Laminated Plate

为实现碳纤维复杂结构的振动控制,实验以压电悬臂碳纤维层合板为研究对象。基于Kirchhoff薄板理论和Hamilton原理,运用压电本构方程、假设模态法、广义坐标法及状态空间变量,构造压电悬臂碳纤维层合板的振动状态空间方程。对悬臂层合板进行应力、应变分析,确定压电陶瓷纤维片的铺设位置。采用PID控制方法、模糊控制方法以及模糊PID控制方法在MATLAB中设计控制器,对悬臂层合板的振动控制进行数值仿真。结果表明:三种控制器均可有效抑制层合板的振动,模糊PID控制器的抑振效果最好,该结果可为碳纤维复杂结构的振动控制提供参考。

In order to realize the vibration control of the complex structure of carbon fiber,piezoelectric cantilever carbon fiber laminates were used as the research object in this experiment.Based on Kirchhoff's thin plate theory and Hamilton's principle,the vibration state space equation of piezoelectric cantilever carbon fiber laminates was constructed using piezoelectric constitutive equations,hypothetical mode method,generalized coordinate method and state-space variables.Stress and strain analysis were carried out on the cantilever laminated plate to determine the laying position of the piezoelectric ceramic fiber sheet.The PID control method,fuzzy control method and fuzzy PID control method were used to design the controller in MATLAB,and the vibration control of the cantilever laminated plate was numerically simulated.The results show that the three controllers can effectively suppress the vibration of the laminated plate,and the fuzzy PID controller has the best vibration suppression effect,which can provide a reference for the vibration control of carbon fiber complex structures.