中文摘要：

从压电本构方程出发，借助Hamilton原理建立了压电层合结构的有限元方程，基于此理论，对一五层的压电梁运用ANsYs参数化设计语言（APDL）建模，采用二维四结点四边形耦合单元，分析了梁与压电层的几何参数对传感与致动性能的影响，比较了不同边界条件下梁的变形变化。得出的一些有效结论，对多层智能结构的设计具有一定的参考价值。

英文摘要：

Based on the classic piezoelectric theory, finite element formulations are established using the Hamilton principle. Utilizing the Ansys Parametric Design Langauge （APDL）, a five-layer piezoelectric beam is successfully simulated by the 4-node plane piezoelectric element. During the analysis, the influence on the beam＇s actuator and sensor, which are caused by the geometric sizes and the voltages of the structure, are investigated. And the deformation states of the beam with different boundary conditions are also presented for comparision. Some valuable results are obtained and expected to be useful for reference in the design of multilayered smart structures.