Abstract:

In the study, the flexural rigidity of piezoelectric laminated plate is derived based on the shear deformation theory of order one. The dynamic equation of the composite plate in a finite element form is deduced by using Hamilton’s principle, and the vibration-mode superposition method is employed. In order to get large driving force and efficient sensor signals, actuators and sensors are placed at the locations where the strain is locally maximum on the plate surface. Subsequently, an Independent Modal Space Control (IMSC) technique based Linear Quadratic Regulator (LQR) control methodology is adopted for the vibration suppression of the plate. The numerical example verifies the efficiency of this modeling and the method of control.

Key words: vibration and wave, smart structure, vibration control, ezoelectric ctuators, linear quadratic regulator (LQR)

摘要：

利用一阶剪切变形理论推导压电层合板的抗弯刚度，由Hamilton变分原理建立压电层合板的有限元模型，采用模态叠加方法对有限元模型降阶。在应变最大处配置制动器和传感器，并采用二次线性控制的独立模态空间控制法来进行板结构的主动控制。数值算例验证了这种力学建模方法和控制方法的有效性。

关键词: 振动与波, 智能结构, 振动控制, 压电制动器, 二次线性控制