Elastic Wave Propagation Research on Two-Dimensional
Photonic Crystal Structures of W-Silicone Rubber
Volume 2 - Issue 5
Xiangying Guo1,2, Xiangyang Sun1,2, and Dongxing Cao1,2*
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- 1College of Mechanical Engineering, Beijing University of Technology, Beijing, China
- 2Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, China
*Corresponding author:
Dongxing Cao, College of Mechanical Engineering, Beijing University of Technology, Beijing, China
Received: March 05, 2020; Published: March 16, 2020
DOI: 10.32474/MAMS.2020.02.000147
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Abstract
The two-dimensional phononic crystal structures of W-silicone rubber are designed here for the low-frequency vibration
absorption by applying both the plane wave expansion method and finite element method. The band structures of phononic crystal
are calculated and some special phenomena in the band structures are discussed, such as the Dirac point and the degenerate state
near the Dirac point and so on. Moreover, the main deformations of different modes for the structure are given, which indicated that
the stress concentration is easy to occur in joint parts of the matrix and scatter. Furthermore, the influence of different parameters
on the band gaps of the phononic crystal is discussed by finite element method, including the density ratio and the Young’s modulus
ratio. At last, the defect state of two-dimensional phononic crystal is visualized which verifies that acoustic wave can propagate
along point defect or line defect of the system. The results will provide certain theoretical guidance for engineering application.
Keywords: W-silicone rubber Phononic crystal; Plane wave expansion method; Degenerate states; Defect state
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