功能梯度材料中SH波的传播

SH-wave propagation in functionally graded materials

对功能梯度材料中SH波的传播问题进行了研究.建立了功能梯度材料中SH波的变系数微分方程.利用WKBJ理论对变系数微分方程进行了求解,给出了功能梯度材料中位移的解析解.以功能梯度材料剪切弹性模量和质量密度均呈抛物线变化为例进行了实例计算,得到了功能梯度材料中SH波的波速、波幅变化曲线,分析了功能梯度材料中SH波传播的一般性质.

The SH-wave propagation in the functionally graded materials is studied. The differential equation with varied coefficient of the SH-wave in the functionally graded materials is established. By using of the WKBJ approximation method, the differential equation with varied coefficient of wave motion is solved, and the analytical solutions of displacement in functionally graded materials are obtained. The properties of functionally graded materials whose shear elastic modulus and mass density are gradually raring in parabolic form are calculated, the curves of SH-wave velocity and amplitude in the functionally graded materials are obtained, and the general properties of the SH-wave propagation are analyzed.