压电智能板致动器动力控制特性的有限元模拟

Finite element modelling for behaving dynamic control of actuator of piezoelectric smart plates

利用有限元法对高精度磁头定位控制系统中拟采用的压电双晶片智能板型致动器的动力控制特性给予了定量模拟,将压电双晶片分别粘贴于基底钢板上下表面形成层合板,对其在恒定的平行电场作用下的机电耦和致动特性进行了分析,基于压电本构方程、经典层合板理论和Hamilton原理,推导出具有压电传感器及致动器的层合板机—电耦合动力方程,通过应用负速度反馈控制算法,对板的变形与振动控制的特性进行了数值分析,建立了相应的定量分析模型和计算程序。结果表明:本文的控制系统是有效的。

A finite element formulation for dynamic control of a smart plate with bimorph to be conceptually used as a second actuator of magnetic core moving over a magnetic disk for position control with high precision is presented in this paper. For this purpose, we adhere bimorphs respectively to the upper and bottom sides of the base plate. An analysis for characterizing electromechanical coupling of a piezoelectric actuator under the static parallel electric fields is displayed. Based on the piezoelectric constitutive equation, the classic laminated plate theory and Hamilton's principle, the dynamic equations of the electromechanical coupling system of laminated plate with piezoelectric sensor/actuator were deduced. By means of the control law of negative velocity feedback, the formulas of finite element for the control procedure for the actuator with bending deformation are given. After that, some numerical results of sinmlations for a case study are exhibited in detail to show the efficiency of the controllable system.