含压电材料复合板有限元模型

Model of finite element of the piezoelectric composite plate

智能结构由主结构和作为传感元件和执行元件的分布压电材料及控制系统组成 ,是 80年代末至 90年代初兴起的一门综合性的高技术交叉学科 ,在建模、控制、优化等诸方面仍存在许多问题有待进一步研究。本文利用最小势能原理导出了具有压电传感器和执行器弯曲板的有限元方程的一般形式 ,建立了智能结构有限元静力模型 ,构造了一种新的压电板单元。最后用实例验证了该模型的正确性 ,该单元不仅节省计算机内存和计算机机时 。

The intelligent structure comprises the main structure,intelligent material and control system.The intelligent structure is a branch of integrated and crossover knowledge that is a new and high technology,which is developed from the end of eighties to the beginning of nineties.There will be many problems concerned in the intelligent structure to be studied such as the formulation of numerical model,the design of the control system,the optimization,etc.In this paper the static finite element model for the intelligent structure with a new piezoelectric plate element is formulated with the minimum potential energy principle,and a new finite element is presented for the bending plate element with piezoelectric sensors and actuators (S/As).A numerical example is given to illustrate the validation of present method. It can be seen from the example that this method not only saves much memory and calculation time but increases the accuracy of solutions as well.