Analysis of infinite/finite unidirectional elastic phononic structures by BEM

H. F. Gao, T. Matsumoto, T. Takahashi, H. Isakari

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The transmission of elastic waves in infinite/finite unidirectional phononic crystals is investigated by using the boundary element method (BEM). For the infinite periodic structure, we use BEM to formulate a Bloch's eigenvalue problem which has a nonlinear property caused by the Hankel functions in the fundamental solution. This nonlinear eigenvalue problem is solved by employing a contour integral method and band gaps are found in the dispersion curves. For the finite structure, a certain number of layers for cells are given to connect the input and output domains. The numerical simulation shows that the finite structure also presents a frequency banded nature which coincides with the band gaps of the infinite structure.

Original languageEnglish
Title of host publicationBoundary Elements and other Mesh Reduction Methods XXXV
EditorsCarlos A. Brebbia, A.H-D. Cheng
PublisherWITPress
Pages155-163
Number of pages9
ISBN (Electronic)9781845647247
ISBN (Print)9781845647247
DOIs
Publication statusPublished - 2013
Externally publishedYes
Event35th International Conference on Boundary Elements and other Mesh Reduction Methods, BEM/MRM 2013 - New Forest, United Kingdom
Duration: 2013 Jun 112013 Jun 13

Publication series

NameWIT Transactions on Modelling and Simulation
Volume54
ISSN (Print)1743-355X

Conference

Conference35th International Conference on Boundary Elements and other Mesh Reduction Methods, BEM/MRM 2013
Country/TerritoryUnited Kingdom
CityNew Forest
Period13/6/1113/6/13

Keywords

  • Block SS method
  • Boundary element method
  • Elastic wave
  • Periodic structure

ASJC Scopus subject areas

  • Modelling and Simulation
  • Computational Mathematics

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