The flexural wave propagation in the periodic beam can be interpreted as the superposition of two pairs of waves propagating in opposite directions. One of them forms an attenuated standing wave. The dispersion spectrum of the other pair of waves shows the band structure, consisting of stopping and passing bands. For the symmetry structure, the dispersion equation at the end points of Brillouin zone is uncoupled into two equations. Each of them corresponds to a standing wave which is either symmetric or antisymmetric about the midplane of the layers.

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