Axisymmetric wave propagation in functionally grade cylinder with smooth radial distribution of physical parameters

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.