Archive of Applied Mechanics

, Volume 83, Issue 2, pp 315–329 | Cite as

Investigations on flexural wave propagation of a periodic beam using multi-reflection method

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Abstract

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.

Keywords

Periodic beam Flexural wave Wave reflection Wave transmission 
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Copyright information

© Springer-Verlag 2012

Authors and Affiliations

  1. 1.College of ScienceHarbin Engineering UniversityHarbinPeople’s Republic of China

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