中文摘要：

为了提高声表面波器件的性能,压电功能梯度材料（FGPM）被广泛应用在声表面波（SAW）技术上,因此,压电功能梯度材料中表面波的传播特性研究变得十分重要。研究了压电功能梯度材料中SH（Shear Horizontal）波的传播特性。对于材料特性沿厚度方向为线性函数、二次函数和三次函数变化的三种形式,基于压电-弹性理论,得到了横向各向同性压电功能梯度材料半空间中的SH表面波的控制方程,并利用拉盖尔正交多项式法求得了三种不同特性梯度材料中波的频散曲线、质点位移和电势。与已知的结果比较,证明了这种方法的可行性;并且对不同特性梯度材料中波的特性的比较,研究了材料梯度对SH表面波传播特性的影响。

英文摘要：

Functionally graded piezoelectric materials（FGPM） have been widely used in SAW devices in order to im-prove their efficiency and features.The research on surface wave propagation behavior becoming more and more im-portant,in this paper,the propagation behavior of SH surface waves in FGPM is studied.Based on electro-elasticity,the SH wave equation of transversely isotropy piezoelectric-piezomagnetic graded plate is obtained.The Laguerre orthogonal polynomial series expansion approach is employed to derive its solution,and the dispersion curves,displacement curves and electric potential in cases of linear,quadratic and cubic material characteristics variation are obtained.The influence of material constant gradient on the SH wave is investigated and the results have been compared with the ones early.