TY - JOUR
T1 - Research on the band gaps of the two-dimensional Sierpinski fractal phononic crystals
AU - Gao, Nansha
AU - Wu, Jiu Hui
AU - Jing, Li
N1 - Publisher Copyright:
© 2015 World Scientific Publishing Company.
PY - 2015/8/30
Y1 - 2015/8/30
N2 - In this paper, we study the band gaps (BGs) of the two-dimensional (2D) Sierpinski fractal phononic crystals (SFPGs) embedded in the homogenous matrix. The BGs structure, transmission spectra and displacement fields of eigenmodes of the proposed structures are calculated by using finite element method (FEM). Due to the simultaneous mechanisms of the Bragg scattering, the structure can exhibit low-frequency BGs, which can be effectively shifted by changing the inclusion rotation angle. The initial stress values can compress the BGs is proposed for the first time. Through the calculation, it is shown that, in the 2D solid-solid SFPG, the multi-frequency BGs exist. The whole BGs would incline to the low-frequency range with the increase of the fractal dimension. The SFPGs with different shape inclusions, can modulate the number, width and location of BGs. The study in this paper is relevant to the design of tuning BGs and isolators in the low-frequency range.
AB - In this paper, we study the band gaps (BGs) of the two-dimensional (2D) Sierpinski fractal phononic crystals (SFPGs) embedded in the homogenous matrix. The BGs structure, transmission spectra and displacement fields of eigenmodes of the proposed structures are calculated by using finite element method (FEM). Due to the simultaneous mechanisms of the Bragg scattering, the structure can exhibit low-frequency BGs, which can be effectively shifted by changing the inclusion rotation angle. The initial stress values can compress the BGs is proposed for the first time. Through the calculation, it is shown that, in the 2D solid-solid SFPG, the multi-frequency BGs exist. The whole BGs would incline to the low-frequency range with the increase of the fractal dimension. The SFPGs with different shape inclusions, can modulate the number, width and location of BGs. The study in this paper is relevant to the design of tuning BGs and isolators in the low-frequency range.
KW - Band gaps
KW - low-frequency
KW - Sierpinski fractal phononic crystals
UR - http://www.scopus.com/inward/record.url?scp=84940890476&partnerID=8YFLogxK
U2 - 10.1142/S0217984915501341
DO - 10.1142/S0217984915501341
M3 - 文章
AN - SCOPUS:84940890476
SN - 0217-9849
VL - 29
JO - Modern Physics Letters B
JF - Modern Physics Letters B
IS - 23
M1 - 1550134
ER -