Abstract—

Novel approximate methods of wave propagation analysis are developed for functionally graded cylinders with mass and elastic parameters described by continuously differentiable functions of radius. Two of these methods relate to embedding of boundary value problems into corresponding initial value problems and the third method demonstrates methodology of discretization of the physical parameters over cylinder’s cross-section. Frequency spectra diagrams of dilatational and shear waves are plotted for travelling and evanescent regimes. Diagrams of phase and group velocities are plotted for dilatational travelling waves.

中文翻译：

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具有平滑物理参数径向分布的功能级圆柱中的轴对称波传播

摘要-

波传播分析的新近似方法被开发用于功能梯度圆柱体，其质量和弹性参数由半径的连续可微函数描述。其中两种方法涉及将边界值问题嵌入到相应的初始值问题中，第三种方法演示了圆柱体横截面上物理参数的离散化方法。膨胀波和剪切波的频谱图绘制为行进和渐逝状态。为膨胀行波绘制了相位和群速度图。