压电智能环形板的主动控制

ACTIVE CONTROL OF PIEZOELECTRIC INTELLIGENT ANNULAR PLATES 1)

对在不同位置粘有任意多组压电传感器和压电执行器的轴对称弹性环形薄板的振动控制进行了研究．根据压电执行元件的等效作用量得到了压电智能环板的振动控制方程和传感方程，再利用分离变量法以及由传感器测得的电量和作用在执行器上电压之间的控制模式得到振动方程的全解．实行了对整体结构的主动控制．对不同的压电片布置进行了数值计算．结果表明：当离散分布压电元件布置越密。

In recent years, piezoelectric intelligent materials have been widely used as sensors and actuators in structural shape control, vibration control, etc. It has wide and active field in research and application. The structures with large sized, low stiffness and flexibility are important characteristics in space flight industry. But, because modal damping of the structure is small, when an outside shock force or interference force acts to the structure, it will cause much large deformation and vibration of the structure. If this vibration is not controlled, it will last long time. After piezoelectric material is utilized, it may easily be applied to accurate monitor measurement of flexible structure. Then the structure can be controlled effectively . Crawley and Im successfully studied the action between piezoelectric piece and beam. Wang and Roger studied equivalent action of piezoelectric piece on lamination plate, and gave location function of the strain which is generated by piezoelectric effect. It is simple and direct in research to piezoelectric structures. And it may be applied to the active control of the deformation and vibration of plate. Axial symmetric vibration control of intelligent annular plate with distributed piezoelectric sensors and actuators are studied. By using the equivalent action of piezoelectric actuators, control equation of vibration and sensor equation on the intelligent annular plate are obtained. And by using the separate variables method and control model between charge on sensors and voltage acting on actuators, the solution of vibration equation is obtained. Active control system of the structure can be realized. Some examples are calculated. The results show that the closer piezoelectric components are positioned, the better control effect will be.