Analysis of Band Structure for 2D Elastic Phononic Crystals by BEM

DOI

Abstract

 In this paper, band gaps of elastic waves in 2D phononic crystals are studied. By using boundary element method (BEM) and the Block wave theory in periodic structure, the eigenvalue problem of the dispersion relation is derived. The eigenfrequency, however, is involved in the system matrix as the eigenvalue parameter implicitly, and the transcendental eigen equation make it a nonlinear eigenvalue problem (NEP). To solve the NEP, the block Sakurai-Sugiura (SS) method is employed as an eigensolver, which extracts the eigenfrequencies within a closed contour integral path. The proposed approach is demonstrated through numerical examples.<br>

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Keywords

Details 詳細情報について

  • CRID
    1390282680569277696
  • NII Article ID
    130004605177
  • DOI
    10.11345/japannctam.62.0.98.0
  • Text Lang
    ja
  • Data Source
    • JaLC
    • CiNii Articles
  • Abstract License Flag
    Disallowed

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