Investigations on flexural wave propagation of a periodic beam using multi-reflection method
Investigations on flexural wave propagation of a periodic beam using multi-reflection method
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多次反射法研究周期梁的弯曲波传播
DOI：
10.1007/s00419-012-0657-x
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发表时间：
2013-02-01
影响因子：
2.8
通讯作者：
Chen, Tao
中科院分区：
文献类型：
--
作者：
Chen, Tao
本文用多次反射法研究了弯曲波在周期梁中的传播。传播波入射到不连续面上，产生透射波和反射波。本文将给定的弯曲波入射到梁的某一特定位置时的所有透射波和反射波求出并叠加，并将该方法推广到倏逝波入射的情况。本文讨论了入射波在周期梁中间断间某一位置处的结果。给出了任意段上入射波的波场与合成波的波场之间的关系。作为一个例子，然后演示了将结果应用于具有传播扰动的有限周期梁的分析。考虑了胞元数目对波传播能量的影响。
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.