层合结构压电器件的机电耦合效应

压电传感器和致动器都可以看成是一种复合材料层合板结构，由压电材料层和非压电(弹性)材料层交替铺设而成。对于这类任意铺设的层合板悬臂梁结构，我们推导出了表示力学变形与外加电场之间耦合效应的解析表达式。进而，又推导出了两类(一类为单层压电-弹性层，另一类为双层压电-弹性层)层合型悬臂梁结构机电耦合性能的解析公式。在该机电耦合模型中，包括了两个压电常数d211和d222。此外，还建立了含压电材料的有限元算式，进行了实验测量。最后，通过比较解析解(包括考虑了d222参数的理论值和没有考虑d222参数的理论值)，实验值以及有限元计算结果，发现它们吻合得很好，而且考虑d222是十分必要的。

Electromechanical Coupling Effects of Piezoelectric Laminated Devices

Piezoelectric sensors and actuators may be considered as multilayer laminated composites consisting of alternating layers of piezoelectric and non-piezoelectric materials. A generalized analytical formulation of mechanical deformations as a function of applied electric field is derived for an arbitrary lay-up of such laminated cantilever beams. Based on the generalized theory developed, specific formulae for the electromechanical performance of two cantilever microactuator lay-up geometries, including a single piezo/elastic laminate and a bimorph, are derived. In the theory of the electromechanical performance of piezoelectric microactuators, the present model incorporates both d 211 and d 222 . Furthermore, the finite element of formulation including piezoelectric materials is given. The theoretical predication,in which the d 222 is incorporated and not, are evaluated based on a comparison with results from experiments and finite element calculation. The results are in good agreement. It is necessary to take into account the d 222 .