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The flexural wave propagation in a grillage structure with a propagating disturbance is studied firstly by the use of the multi-reflection method. The grillage structure consists of many beams intersecting each other at right angles. Each periodic binary beam consists of a finite repetition of alternating material A and material B. A propagating wave is incident upon a discontinuity of a beam along the x axis and gives rise to transmitted and reflected waves. Here all of the transmitted and reflected waves of given flexural wave incident upon the beam at some specified location are found and superposed, these waves travel to the other beams as a bending wave in the direction of their partially reflected and partially transmitted. Then the wave-fields of two beams along the y axis closest to external disturbance is set up, these two beams only need to consider the influence of bending waves on the x-beams on them. Next the wave-fields of two beams along the x axis closest to external disturbance is set up, the rest can be done in the same manner. Finally the wave-field of any beam at some specified location can be determined.

Investigations on flexural wave propagation of a grillage structure using the multi-reflection method