采用MFC压电作动器对复合材料悬臂板振动主动控制

摘要

针对复合材料层合悬臂板,在其上表面铺设压电纤维复合材料MFC作为作动器,同时在下表面对称铺设压电薄膜(PVDF)作为传感器,应用速度反馈控制方法研究其主动振动控制.运用Hamilton原理和假设模态法推导含多个MFC作动器的复合材料层合板的力电耦合结构运动方程,其中考虑了MFC作动器作为悬臂板附加质量及刚度的影响.基于模态控制力/力矩最大化的原则,将多对MFC作动器/PVDF传感器铺设在层合悬臂板前几个低阶模态应变最大的区域,通过算例得出结构受控前后的时域和频域响应以及各MFC作动器所需的控制电压曲线.讨论复合材料层合板纤维铺设角度不同情况下,作动器MFC铺设位置及压电纤维铺设方向的相应变化.%The active vibration control of a cantilevered laminated plate is investigated in this paper by using velocity feedback control method,where multiple macro fiber composite (MFC) and PVDF patches are bonded on the top and bottom surfaces of the plate to act as the actuators and sensors,respectively.By using Hamilton's principle and the assumed mode method,the dynamical model of the structural systems is developed with considering the effects of mass and stiffness of MFC actuators.In order to obtain the maximum control forces or moments,the MFC actuators and PVDF sensors are placed in the regions with high average strain of host structure.Frequency and time domain responses of the cantilevered plate are obtained.And the required control voltages of MFC actuators are also calculated.Moreover,The placements of MFC actuators are presented for cantilevered laminated plate with different fiber orientation angle.