Flexural wave propagation in a spatially periodic structure of articulated beams

Wave Motion ◽  
2005 ◽  
Vol 42 (2) ◽  
pp. 155-167 ◽  
Author(s):  
Yosuke Watanabe ◽  
Nobumasa Sugimoto
Keyword(s):  
Wave Propagation ◽  
Periodic Structure ◽  
Flexural Wave ◽  
Spatially Periodic ◽  
Flexural Wave Propagation

Flexural Wave Propagation in an Elastic Beam With Periodic Structure

1992 ◽  
Vol 59 (2S) ◽  
pp. S189-S196 ◽  
Author(s):  
Sen Yung Lee ◽  
Huei Yaw Ke
Keyword(s):  
Wave Propagation ◽  
Periodic Structure ◽  
Elastic Beam ◽  
Fundamental Solutions ◽  
Flexural Wave ◽  
Flexural Waves ◽  
Floquet Waves ◽  
Special Relationships ◽  
Flexural Wave Propagation

The theory of flexural waves in an elastic beam with periodic structure is developed in terms of Floquet waves. Special relationships have been determined among the fundamental solutions of the governing equation. Two lemmas about the properties of the fundamental solutions are proved. With the help of these relations and lemmas, the analysis and classification of the dynamic nature of the problem is greatly simplified. We show that the flexural wave propagation in a periodic beam can be interpreted as the superposition of two pairs of waves propagating in opposite directions, of which one pair behaves as an attenuated wave. The dispersion spectrum of the second pair of waves shows the band structure, consisting of stopping bands and passing bands. Exploiting the symmetry of the structure, the dispersion equation at the end points of Brillouin zones is uncoupled into two simpler equations. These uncoupled equations represent the dispersion spectrum of waves which are either symmetric, or antisymmetric.

scholarly journals Flexural Wave Propagation in Beam with Dispersion

1984 ◽  
Vol 27 (231) ◽  
pp. 2008-2015 ◽  
Author(s):  
Kenzou NONAMI ◽  
Noboru TOMINARI ◽  
Takayoshi TOTANI
Keyword(s):  
Wave Propagation ◽  
Flexural Wave ◽  
Flexural Wave Propagation

scholarly journals Modeling of Flexural Wave Propagation in a Plate with Contacting Interfaces

2010 ◽  
Vol 4 (8) ◽  
pp. 1186-1197 ◽  
Author(s):  
Shiro BIWA ◽  
Satoshi KISHIWADA ◽  
Claude INSERRA ◽  
Eiji MATSUMOTO
Keyword(s):  
Wave Propagation ◽  
Flexural Wave ◽  
Flexural Wave Propagation
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