Elastic waves in a functionally graded piezoelectric cylinder
Elastic waves in a functionally graded piezoelectric cylinder
复制标题
DOI：
10.1088/0964-1726/12/6/014
复制
发表时间：
2003-12-01
影响因子：
4.1
通讯作者：
Liu, GR
中科院分区：
文献类型：
--
作者：
Han, X;Liu, GR
提出了一种分析功能梯度压电材料（FGPM）圆柱中波的频散和特征面的解析-数值方法。在该方法中，FGPM圆柱体被划分为多个在壁厚方向上具有三节线的环形单元。元素的机械以及电气性能被假定为在厚度方向上线性变化，以便更好地模拟FGPM的机械和电气性能的空间变化。推导了相应的频散方程，并根据瑞利商建立了相速度和慢度以及群速度和慢度。六个特征波表面被引入到可视化的各向异性和压电波传播的影响。计算实例提供了一个完整的理解的复杂现象的弹性波在FGPM柱。
An analytical-numerical method is presented for analyzing dispersion and characteristic surface of waves in a circular cylinder composed of functionally graded piezoelectric material (FGPM). In this method, the FGPM cylinder is divided into a number of annular elements with three-nodal lines in the wall thickness. The elemental mechanical as well as electrical properties are assumed to vary linearly in the thickness direction so as to better model the spatial variation of the mechanical and electrical properties of FGPM. The associated frequency dispersion equation is developed and the phase velocity and slowness as well as the group velocity and slowness are established in terms of the Rayleigh quotient. Six characteristic wave surfaces are introduced to visualize the effects of anisotropy and piezoelectricity on wave propagation. The calculation examples provide a full understanding of the complex phenomena of elastic waves in FGPM cylinders.