压电智能结构振动主动控制传感器/驱动器的位置优化设计

THE OPTIMAL POSITION DESIGN OF SENSORS/ACTUATORS IN ACTIVE VIBRATION CONTROL FOR PIEZOELECTRIC INTELLIGENT STRUCTURES

应用ANSYS软件对压电智能结构建模,并计算其模态圆频率。采用D优化设计准则,并对该准则进行简化,用一种简单的方法将所选择的低阶模态振型转化为归一化形式,最后,仅用结构模态振型就可确定压电元件的最优位置,有效的避免了布置的随机性。考虑到粘贴压电元件对主体结构动力学特性的影响,该文采用线性二次型高斯(LQG)最优控制方法,设计Kalman滤波器,对模型过程噪声和量测噪声进行过滤。最后,该文以压电智能悬臂梁为例给出了系统的阶跃响应曲线,验证了此方法的有效性。

The paper builds a model for piezoelectric intelligent structures and calculates the modal frequency using ANSYS software. The D-optimal design principle is applied and the selected modes are converted into a unitary form by simplifying the principle. Finally, the optimal position of piezoelectric elements can be determined by the mode shapes of the structures solely, thus position＇s randomcity will not be introduced. This paper considers the influence of the main structure＇s dynamics characteristics produced by the bonded piezoelectric elements, and adopts the Linear Quadratic Gauss （LQG） optimal control method to design a Kalman filter, which can be used to filtrate the process noise and measurement noise. At last, a piezoelectric cantilever beam is taken as an example to prove the effectiveness of the method in this paper.