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The flexural wave propagation in a periodic beam is investigated using the method of multiple reflections. The effects of the clamped boundary condition and disturbance on the flexural wave propagation in the periodic beam are considered. A propagating disturbance is incident upon a discontinuity and gives rise to transmitted and reflected waves, and all of the transmitted and reflected waves of given flexural wave incident upon the beam at some location are found and superposed. The method is extended to the case of incident fading wave. The relation between the wave field of incident waves and the wave field of resulting waves on any segment is expressed. Much attention is devoted to the response in the frequency ranges with gaps in the band structure for the corresponding periodic beam. As an example, the application of the results to the analysis of a finite periodic beam with clamped-free boundary condition and a propagating disturbance is then demonstrated. [ABSTRACT FROM AUTHOR]

The flexural wave propagation in a periodic beam with a propagating disturbance is studied by the use of the multi-reflection method. A propagating wave is incident upon a discontinuity 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, and the method is extended to the case of incident evanescent wave. The results of incident waves at some location between discontinuities in a periodic beam are concerned. The relation between the wave-field of incident waves and the wave-field of resulting waves on any segments is expressed. As an example, the application of the results to the analysis of a finite periodic beam with a propagating disturbance is then demonstrated. The influences of the number of cells on the energy associated with propagating waves are considered. [ABSTRACT FROM AUTHOR]